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Large-stroke snap-through instability in the axial direction of a bi-stable structure with high slenderness
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作者 Huan Zhou Qian Sun +4 位作者 Haibin Xia Yiwei Xiong Youchao Yuan Yin Huang Jianghong Yuan 《Theoretical & Applied Mechanics Letters》 2025年第1期43-48,共6页
Mechanical snap-through instability of bi-stable structures may find many practical applications such as state switching and energy transforming.Although there exist diverse bi-stable structures capable of snap-throug... Mechanical snap-through instability of bi-stable structures may find many practical applications such as state switching and energy transforming.Although there exist diverse bi-stable structures capable of snap-through instability,it is still difficult for a structure with high slenderness to undergo the axial snap-through instability with a large stroke.Here,an elastic structure with high slenderness is simply constructed by a finite number of identical,conventional bi-stable units with relatively low slenderness in series connection.For realizing the axial snap-through instability with a large stroke,common scissors mechanisms are further introduced as rigid constraints to guarantee the synchronous snap-through instability of these bi-stable units.The global feature of the large-stroke snap-through instability realized here is robust and even insusceptible to the local out-of-synchronization of individual units.The present design provides a simple and feasible way to achieve the large-stroke snap-through instability of slender structures,which is expected to be particularly useful for state switching and energy transforming in narrow spaces. 展开更多
关键词 Synchronous instability Snap-through instability Bi-stability Large stroke High slenderness
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Numerical study on failure and instability of slender rock columns:Synergistic effects of lateral pressure,height-to-width ratio,and material strength
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作者 Shiguo Feng Gen Li 《Deep Resources Engineering》 2025年第2期1-14,共14页
Columnar jointed rock mass(CJRM)combines and mosaic of slender rock columns with different height-to-width(H/W)ratios.Revealing the correlation of the mechanical behavior of individual rock columns with internal facto... Columnar jointed rock mass(CJRM)combines and mosaic of slender rock columns with different height-to-width(H/W)ratios.Revealing the correlation of the mechanical behavior of individual rock columns with internal factors(H/W ratio and material strength)and external factor(lateral pressure)is fundamental to understanding the deterioration of CJRM.We adopt a numerical scheme that combines a statistical meso-damage constitutive model with a finite element formulation based on finite deformation,which can simultaneously consider both material failure and structural instability of the rock columns.Compression tests of rock columns with different H/W ratios and material strengths under varying lateral pressures were conducted to analyze the macro-strength features and failure modes.The numerical results show that increasing the material strength can improve the macro-strength,while the effect of H/W ratio is the opposite.Both increases can promote the conversion of failure modes,and the evolution process is as follows:material failure-induced structural instability→synergy and competition between material failure and structural instability→structural instability-induced material failure.Notably,for the last failure mode,an increase in lateral pressure decreases the macro-strength of the rock column and heightens its instability risk.This finding provides new insights into the response of rocks with different H/W ratios under lateral pressure,extending beyond traditional material-based perspectives.According to the position of the failure mode demarcation line,the failure mode of the rock column can be regulated. 展开更多
关键词 slender rock column Material failure Structural instability H/W ratio Material strength Lateral pressure
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Strange Nonchaotic Attractors in a Quasiperiodically Excited Slender Rigid Rocking Block with Two Frequencies 被引量:1
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作者 Jinkai Jiang Zhengdong Du 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2024年第5期750-761,共12页
In this paper,we investigate the existence of strange nonchaotic attractors(SNAs)in a slender rigid rocking block under quasi-periodic forcing with two frequencies.We find that an SNA can exist between a quasi-periodi... In this paper,we investigate the existence of strange nonchaotic attractors(SNAs)in a slender rigid rocking block under quasi-periodic forcing with two frequencies.We find that an SNA can exist between a quasi-periodic attractor and a chaotic attractor,or between two chaotic attractors.In particular,we demonstrate that a torus doubling bifurcation of a quasi-periodic attractor can result in SNAs via the fractal route before transforming into chaotic attractors.This phenomenon is rarely reported in quasiperiodically forced discontinuous differential equations and vibro-impact systems.The properties of SNAs are verified by the Lyapunov exponent,rational approximation,phase sensitivity,power spectrum,and separation of nearby trajectories. 展开更多
关键词 Strange nonchaotic attractor slender rigid rocking block Quasi-periodic excitation Chaos Lyapunov exponent
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Vibration suppression for rotating space slender flexible structures based on novel deformation description and NNSMC controller with hyperbolic tangent function
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作者 Dongyang SHANG Xiaopeng LI +1 位作者 Men YIN Sainan ZHOU 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2024年第10期339-364,共26页
Rotating Space Slender Flexible Structures(RSSFS)are extensively utilized in space operations because of their light weight,mobility,and low energy consumption.To realize the accurate space operation of the RSSFS,it i... Rotating Space Slender Flexible Structures(RSSFS)are extensively utilized in space operations because of their light weight,mobility,and low energy consumption.To realize the accurate space operation of the RSSFS,it is necessary to establish a precise mechanical model and develop a control algorithm with high precision.However,with the application of traditional control strategies,the RSSFS often suffers from the chattering phenomenon,which will aggravate structure vibration.In this paper,novel deformation description is put forward to balance modeling accuracy and computational efficiency of the RSSFS,which is better appropriate for real-time control.Besides,the Neural Network Sliding Mode Control(NNSMC)strategy modified by the hyperbolic tangent(tanh)function is put forward to compensate for modeling errors and reduce the chattering phenomenon,thereby improving the trajectory tracking accuracy of the RSSFS.Firstly,a mathematical model for the RSSFS is developed according to the novel deformation description and the vibration theory of flexible structure.Comparison of the deformation accuracy between different models proves that the novel modeling method proposed has high modeling accuracy.Next,the universal approximation property of the Radial Basis Function(RBF)neural network is put forward to determine and compensate for modeling errors,which consist of higher-order modes and the uncertainties of external disturbances.In addition,the tanh function is proposed as the reaching law in the conventional NNSMC strategy to suppress driving torque oscillation.The control law of modified NNSMC strategy and the adaptive law of weight coefficients are developed according to the Lyapunov theorem to guarantee the RSSFS stability.Finally,the simulation and physical experimental tests of the RSSFS with different control strategies are conducted.Experimental results show that the control law according to the novel deformation description and the modified NNSMC strategy can obtain accurate tracking of the rotation and reduce the vibration of the RSSFS simultaneously. 展开更多
关键词 Space slender flexible structure Novel deformation description RBF neural network Vibration suppression Hyperbolic tangent function
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A New Fish Record in the Yangtze Estuary:Slender Mandarinfish Siniperca roulei 被引量:1
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作者 张衡 樊伟 张健 《Zoological Research》 CAS CSCD 北大核心 2009年第1期109-112,共4页
A new recorded fish (Siniperca roulei) of the Yangtze estuary and Shanghai district was collected at the west end of Chongming Island in the survey on the intertidal fishes in May, 2008. It belongs to Family Serrani... A new recorded fish (Siniperca roulei) of the Yangtze estuary and Shanghai district was collected at the west end of Chongming Island in the survey on the intertidal fishes in May, 2008. It belongs to Family Serranidae of Order Perciformes. Its main features were described as the following: body slim and long, nearly tubby; head long and a little fiat, and proboscis sharp; oral fissure big, the mandible apparent protruding, and the upper jaw outstretch to the area under the eye; ten thin sawteeth and two declining spurs at the rear edge and the ventrolateral edge of the front operculum, respectively; one fiat spine at the back-end of the operculum with one short spine at its up-end; body tawny and some anomalistic macula and dark spots on the head and both sides of the body. Owing to the overfishing and water pollution, the resource amount of the fish has decreased sharply in recent decades. It has been listed in China Red Book of Endangered Animals. Currently, very few studies on this fish species have been carried out, especially those on their breeding, feeding and growing characteristics are even scare. Hence, it is extremely urgent to carry out the study and conservation on this species. 展开更多
关键词 Yangtze estuary New recorded species slender mandarinfish
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Study on Environmental Capacity and Sustainable Development Strategy of Scenic Areas ——Taking the Scenic Area of Slender West Lake in Yangzhou for an Example
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作者 周建东 王浩 《Journal of Landscape Research》 2009年第12期33-38,共6页
Taking the scenic area of Slender West Lake in Yangzhou for an example, the quantitative evaluation model of environmental capacity and impact factors limiting sustainable development of scenic area were put forward, ... Taking the scenic area of Slender West Lake in Yangzhou for an example, the quantitative evaluation model of environmental capacity and impact factors limiting sustainable development of scenic area were put forward, and targeted control measures were correspondingly proposed. 展开更多
关键词 SUSTAINABLE development SCENIC area ENVIRONMENTAL capacity slender WEST LAKE Strategy
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Slender经皮冠状动脉介入治疗和Slender指引导管
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作者 赵慧强 陈晖 李虹伟 《中国介入心脏病学杂志》 2018年第7期403-406,共4页
1993年,Kiemenij等报道了首例经桡动脉冠状动脉介入治疗(transradial intervention,TRI)。近年来,随着技术的不断积累进步以及器械的不断更新,TRI己被广泛应用于临床冠心病介入治疗,并以其损伤小、局部并发症少及不必强制卧床等... 1993年,Kiemenij等报道了首例经桡动脉冠状动脉介入治疗(transradial intervention,TRI)。近年来,随着技术的不断积累进步以及器械的不断更新,TRI己被广泛应用于临床冠心病介入治疗,并以其损伤小、局部并发症少及不必强制卧床等优点而倍受患者和介入医师青睐。在许多心脏介入中心,包括中国、日本以及欧洲的一些中心,经桡动脉入径已经成为经皮冠状动脉介入治疗(percutaneous coronary intervention,PCI)的首选入径。 展开更多
关键词 经皮冠状动脉介入治疗 slender指引导管 桡动脉闭塞
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INFLUENCE OF NOSE PERTURBATIONS ON BEHAVIORS OF ASYMMETRIC VORTICES OVER SLENDER BODY 被引量:22
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作者 陈学锐 邓学鉴 +2 位作者 王延奎 刘沛清 顾志福 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2002年第6期581-593,共13页
The influence of nose perturbations on the behaviors of asymmetric vortices over a slender body with a three-caliber ogive nose is studied in this paper. The tests of a nose-disturbed slender body with surface pressur... The influence of nose perturbations on the behaviors of asymmetric vortices over a slender body with a three-caliber ogive nose is studied in this paper. The tests of a nose-disturbed slender body with surface pressure measurement were conducted at a low speed wind tunnel with subcritical Reynolds number of 1×105 at angle of attack α=50°. The experiment results show that the behaviors and structure of asymmetric vortices over the slender body are mainly controlled by manual perturbation on the nose of body as compared with geometrical minute irregularities on the test model from the machining tolerances. The effect of the perturbation axial location on asymmetric vortices is the strongest if its location is near the model apex. There are four sensitive circumferential locations of manual perturbation at which bistable vortices over the slender body are switched by the perturbation. The flowfield near the reattachment line of lee side is more sensitive to the perturbation, because the saddle point to saddle point topological structure in this reattachment flowfield is unstable. Various types of perturbation do not change the perturbation effect on the behaviors of bistable asymmetric vortices. 展开更多
关键词 asymmetric vortex slender body of revolution bistable flow high angle of attack aerodynamics
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ASYMMETRIC VORTICES FLOW OVER SLENDER BODY AND ITS ACTIVE CONTROL AT HIGH ANGLE OF ATTACK 被引量:17
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作者 邓学蓥 王延奎 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2004年第6期567-579,共13页
The studies of asymmetric vortices flow over slender body and its active control at high angles of attack have significant importance for both academic field and engineering area.This paper attempts to provide an upda... The studies of asymmetric vortices flow over slender body and its active control at high angles of attack have significant importance for both academic field and engineering area.This paper attempts to provide an update state of art to the investigations on the fields of forebody asymmetric vortices.This review emphasizes the correlation between micro-perturbation on the model nose and its response and evolution behaviors of the asymmetric vortices.The critical issues are discussed, which include the formation and evolution mechanism of asymmetric multi-vortices;main behaviors of asymmetric vortices flow including its deterministic feature and vortices flow structure;the evolution and development of asymmetric vortices under the perturbation on the model nose;forebody vortex active control especially discussed micro-perturbation active control concept and technique in more detail.However present understanding in this area is still very limited and this paper tries to identify the key unknown problems in the concluding remarks. 展开更多
关键词 asymmetric vortex flow control high angle of attack aerodynamics slender body
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Dynamic Response Study of Steel Catenary Riser Based on Slender Rod Model 被引量:6
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作者 LIU Zhen GUO Hai-yan 《China Ocean Engineering》 SCIE EI CSCD 2019年第1期57-64,共8页
A numerical model of the steel catenary riser(SCR) is built based on the slender rod model. The slender rod model,which describes the behavior of the slender riser in terms of the center line position, can solve the g... A numerical model of the steel catenary riser(SCR) is built based on the slender rod model. The slender rod model,which describes the behavior of the slender riser in terms of the center line position, can solve the geometrical nonlinearity effectively. In a marine environment, the SCR is under the combined internal flow and external loads,such as wave and current. A general analysis considers only the inertial force and the drag force caused by the wave and current. However, the internal flow has an effect on the SCR; it is essential to explore the dynamic response of the SCR with the internal flow. The SCR also suffers the lift force and the fluctuating drag force because of the current. Finite element method is utilized to solve the motion equations. The effects of the internal flow, wave and current on the dynamic response of the SCR are considered. The results indicate that the increase of the internal flow density leads to the decrease of the displacement of the SCR, while the internal flow velocity has little effect on the SCR. The displacement of the SCR increases with the increase of the wave height and period. And the increasing wave period results in an increase in the vibration period of the SCR. The current velocity changes the displacements of the SCR in x-and z-directions. The vibration frequency of the SCR in y-direction increases with the increase of the current velocity. 展开更多
关键词 STEEL CATENARY RISER slender ROD model INTERNAL flow dynamic RESPONSE
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The prediction on in-line vortex-induced vibration of slender marine structures 被引量:7
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作者 Wan-Hai Xu Xi-Feng Gao Jie Du 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第5期1303-1308,共6页
The in-line (IL) vortex-induced vibration (VIV) that occurs frequently in ocean engineering may cause severe fatigue damage in slender marine structures. To the best knowledge of the authors, in existing literatur... The in-line (IL) vortex-induced vibration (VIV) that occurs frequently in ocean engineering may cause severe fatigue damage in slender marine structures. To the best knowledge of the authors, in existing literatures, there is no efficient analytical model for predicting pure IL VIV. In this paper, a wake oscillator model capable of analyzing the IL VIV of slender marine structures has been developed. Two different kinds of van der Pol equations are used to describe the near wake dynamics related to the fluctuating nature of symmetric vortex shedding in the first excitation region and alternate vortex shedding in the second one. Some comparisons are carried out between the present model results and experimental data. It is found that many phenomena observed in experiments could be reproduced by the present wake oscillator model. 展开更多
关键词 Vortex-induced vibration Wake oscillatormodel IN-LINE slender marine structures
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Recent progress on the study of asymmetric vortex flow over slender bodies 被引量:11
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作者 X.Y.Deng W.Tian +1 位作者 B.F.Ma Y.K.Wang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2008年第5期475-487,共13页
The investigations of forebody vortex flow and its flow control have great importance in both academic field and engineering application areas. A large number of papers and many review papers have been published. Howe... The investigations of forebody vortex flow and its flow control have great importance in both academic field and engineering application areas. A large number of papers and many review papers have been published. However in this research field of forebody asymmetric vortices, three problems such as tip perturbation effect, Reynolds number effect and flow instability are less studied and thus not understood completely. So many researches are still working on the issues in recent years. The present paper attempts to provide a review of recent research progress on first two problems. The first problem is mainly concerned with how the vortex flow evolves after tip perturbation; how to solve the problem of repeatability and reproducibility of wind tunnel testing data; how to develop a conception of active flow control technique with tip perturbation based on the study of vortex flow response to tip perturbation. For the second problem one is mainly concerned that how the asymmetric vortices are developed with the increase of Reynolds number; how to classify the vortex flow patterns in different Reynolds number regimes; how to develop an appropriate boundary layer transition technique to simulate flows at high Reynolds number in the convention wind tunnels. Finally, some important ques- tions that deserve answers are proposed in the concluding remarks. 展开更多
关键词 High angle of attack aerodynamics Asymmetric vortex Tip perturbation slender body Reynolds number effect
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Experimental Investigation of the Characteristics of an Artificial Cavity During the Water-Exit of a Slender Body 被引量:4
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作者 Guoqiang Fu Jiaolong Zhao +1 位作者 Liping Sun Yang Lu 《Journal of Marine Science and Application》 CSCD 2018年第4期578-584,共7页
Experimental studies are carried out with slender bodies vertically exiting out of the water using a high-speed camera. The mechanisms for the formation, development, and collapse of the cavity around the slender body... Experimental studies are carried out with slender bodies vertically exiting out of the water using a high-speed camera. The mechanisms for the formation, development, and collapse of the cavity around the slender body are explored. The dynamic characteristics of the shoulder cavity and the trail cavity during the water-exit of low-speed bodies are analyzed for various water depths and initial velocities. The results show that the initial velocity has a great influence on the formation, development, and collapse of the cavity. The length and the thickness of the shoulder cavity vary non-linearly with the depth. 展开更多
关键词 Water-exit slender BODY CAVITY development CAVITY COLLAPSE EXPERIMENTAL investigation
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Interaction analysis between slenderness ratio and resin content on mechanical properties of particleboard 被引量:4
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作者 Mohammad Arabi Mehdi Faezipour +1 位作者 Mohammad Layeghi Ali Akbar Enayati 《Journal of Forestry Research》 SCIE CAS CSCD 2011年第3期461-464,共4页
The interaction between particle size and resin content is one of the most important structural parameters that can influence the accuracy of predictions about wood-composite properties. We developed three kinds of eq... The interaction between particle size and resin content is one of the most important structural parameters that can influence the accuracy of predictions about wood-composite properties. We developed three kinds of equation (linear, quadratic, and exponential) for each mechanical property of particleboard based on slenderness ratio and resin content at a constant density (0.7g cm -3 ). Results from SHAZAM software (version 9) suggested that the quadratic function was not significant, but the linear and exponential functions were significant. The interaction between particle size and resin content was analyzed by Maple 9 software. The results indicated that an exponential function can better describe the simultaneous effect of slenderness and resin content than a linear equation. Under constant resin content, particles with higher slenderness ratios increased more in modulus of rupture (MOR) and modulus of elasticity (MOE) than did particles with lower slenderness ratios. Edge withdrawal resistance (SWRe) values did not increase with increasing slenderness ratio. 展开更多
关键词 mechanical properties particle size slenderness ratio linear equation exponential equation
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Shear flow induced vibrations of long slender cylinders with a wake oscillator model 被引量:4
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作者 Fei Ge Wei Lu Lei Wang You-Shi Hong 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第3期330-338,共9页
A time domain model is presented to study the vibrations of long slender cylinders placed in shear flow. Long slender cylinders such as risers and tension legs are widely used in the field of ocean engineering. They a... A time domain model is presented to study the vibrations of long slender cylinders placed in shear flow. Long slender cylinders such as risers and tension legs are widely used in the field of ocean engineering. They are subjected to vortex-induced vibrations(VIV) when placed within a transverse incident flow. A three dimensional model coupled with wake oscillators is formulated to describe the response of the slender cylinder in cross-flow and in-line directions. The wake oscillators are distributed along the cylinder and the vortex-shedding frequency is derived from the local current velocity. A non-linear fiuid force model is accounted for the coupled effect between cross-flow and in-line vibrations. The comparisons with the published experimental data show that the dynamic features of VIV of long slender cylinder placed in shear flow can be obtained by the proposed model,such as the spanwise average displacement,vibration frequency,dominant mode and the combination of standing and traveling waves. The simulation in a uniform flow is also conducted and the result is compared with the case of nonuniform flow. It is concluded that the flow shear characteristic has significantly changed the cylinder vibration behavior. 展开更多
关键词 Vortex-induced vibration Vortex-induced wave Shear flow Wake oscillator Long slender cylinder
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Displacement Response Reconstruction of Slender Flexible Structures Based on Cubic Spline Fitting Method 被引量:3
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作者 HAN Qing-hua MA Ye-xuan +1 位作者 FENG Xin-xin XU Wan-hai 《China Ocean Engineering》 SCIE EI CSCD 2019年第2期226-236,共11页
How to reconstruct a dynamic displacement of slender flexible structures is the key technology to develop smart structures and structural health monitoring(SHM), which are beneficial for controlling the structural vib... How to reconstruct a dynamic displacement of slender flexible structures is the key technology to develop smart structures and structural health monitoring(SHM), which are beneficial for controlling the structural vibration and protecting the structural safety. In this paper, the displacement reconstruction method based on cubic spline fitting is put forward to reconstruct the dynamic displacement of slender flexible structures without the knowledge of modeshapes and applied loading. The obtained strains and displacements are compared with the results calculated by ABAQUS to check the method's validity. It can be found that the proposed method can accurately identify the strains and displacement of slender flexible structures undergoing linear vibrations, nonlinear vibrations, and parametric vibrations. Under the concentrated force, the strains of slender flexible structures will change suddenly along the axial direction. With locally densified measurement points, the present reconstruction method still works well for the strain concentration problem. 展开更多
关键词 DISPLACEMENT RECONSTRUCTION CUBIC SPLINE FITTING slender flexible structures linear vibrations PARAMETRIC vibrations nonlinear vibrations
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A Finite Difference Approximation for Dynamic Calculation of Vertical Free Hanging Slender Risers in Re-Entry Application 被引量:2
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作者 王盛炜 徐雪松 +1 位作者 姚宝恒 连琏 《China Ocean Engineering》 SCIE EI 2012年第4期637-652,共16页
The dynamic calculations of slender marine risers, such as Finite Element Method (FEM) or Modal Expansion Solution Method (MESM), are mainly for the slender structures with their both ends hinged to the surface an... The dynamic calculations of slender marine risers, such as Finite Element Method (FEM) or Modal Expansion Solution Method (MESM), are mainly for the slender structures with their both ends hinged to the surface and bottom. However, for the re-entry operation, risers held by vessels are in vertical free hanging state, so the displacement and velocity of lower joint would not be zero. For the model of free hanging flexible marine risers, the paper proposed a Finite Difference Approximation (FDA) method for its dynamic calculation. The riser is divided into a reasonable number of rigid discrete segments. And the dynamic model is established based on simple Euler-Bemoulli Beam Theory concerning tension, shear forces and bending moments at each node along the cylindrical structures, which is extendible for different boundary conditions. The governing equations with specific boundary conditions for riser's free hanging state are simplified by Keller-box method and solved with Newton iteration algorithm for a stable dynamic solution. The calculation starts when the riser is vertical and still in calm water, and its behavior is obtained along time responding to the lateral forward motion at the top. The dynamic behavior in response to the lateral parametric excitation at the top is also proposed and discussed in this paper. 展开更多
关键词 finite difference approximation free hanging slender risers Keller-box method Newton iteration re-entryapplication
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Role of stress,slenderness and foliation on large anisotropic deformations at deep underground excavations 被引量:2
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作者 Bo Hu Mostafa Sharifzadeh +2 位作者 Xiating Feng Wenbin Guo Roo Talebi 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2021年第4期577-590,共14页
High stress concentrations around underground excavations can result in significant damage to deep hard-rock mines.These conditions can be the result of stopping activities,blasting,seismicity,or other mining activiti... High stress concentrations around underground excavations can result in significant damage to deep hard-rock mines.These conditions can be the result of stopping activities,blasting,seismicity,or other mining activities.Large anisotropic deformation and excavation closure,especially under high-stress conditions,are expected if the excavation is located in a foliated or thin-bedded rock mass.In this research,the behaviour of excavations under deep and high-stress conditions was investigated and categorised.The main purpose was to enhance the existing knowledge of managing large anisotropic deformations and to help prepare suitable measures for handling such contingencies.Numerical simulations using the distinct element method(DEM)and model calibration were performed to reproduce the anisotropic deformation of an ore drive based on the collected field data.Then,the roles of key factors(i.e.stress ratio,slenderness ratio,foliation orientation,and foliation considering excavation orientation)on the large deformation and damage depth of the excavations were investigated.This study found that increasing both the stress ratio and slenderness ratio induced linear increases in wall closure and damage depth,whereas increasing the foliation angle first increases the deformation and damage depth and then reduces them both before and after 45.The wall closure and damage thickness decreased with increasing orientation intercept.The deformation and damage levels were classified based on these factors. 展开更多
关键词 Large anisotropic deformation Buckling Deep mining slenderness ratio Intercept angle Foliation orientation
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Inverse Optimal Control of Evolution Systems and Its Application to Extensible and Shearable Slender Beams 被引量:1
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作者 K.D.Do A.D.Lucey 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2019年第2期395-409,共15页
An optimal(practical) stabilization problem is formulated in an inverse approach and solved for nonlinear evolution systems in Hilbert spaces. The optimal control design ensures global well-posedness and global practi... An optimal(practical) stabilization problem is formulated in an inverse approach and solved for nonlinear evolution systems in Hilbert spaces. The optimal control design ensures global well-posedness and global practical K∞-exponential stability of the closed-loop system, minimizes a cost functional,which appropriately penalizes both state and control in the sense that it is positive definite(and radially unbounded) in the state and control, without having to solve a Hamilton-Jacobi-Belman equation(HJBE). The Lyapunov functional used in the control design explicitly solves a family of HJBEs. The results are applied to design inverse optimal boundary stabilization control laws for extensible and shearable slender beams governed by fully nonlinear partial differential equations. 展开更多
关键词 BOUNDARY CONTROL evolution system HILBERT space INVERSE optimal CONTROL slender BEAMS
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Singularity Theory on Buckling of Compressible Slender Rods with Deformation of Cross Section 被引量:2
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作者 张义同 熊成安 谢宇新 《Transactions of Tianjin University》 EI CAS 2006年第2期79-83,共5页
The crucial effect of compressibility of rods on their instability is novelly demonstrated via singularity theory. It is shown that the critical load of compressible rod is always greater than the one of the Euler rod... The crucial effect of compressibility of rods on their instability is novelly demonstrated via singularity theory. It is shown that the critical load of compressible rod is always greater than the one of the Euler rod, and a subcritical pitchfork bifurcation, which cannot occur for the Euler rod, may occur for a compressible rod. A whole bifurcation diagram of compressible rods is as follows : when the original slenderness ratio of a compressible rod, $o is smaller than (1 + v/3 √3π/2,, the rod does not buckle; when So∈ [1+ v/3)3√3π/2 ,(1+v/5)5 5√5π/4),the rod may undergo a subcritical pitchfork bifurcation and a collapse may occur; when So ∈ [1+ v/5)5√5π/4 + ∞), the rod may undergo a supercritical pitchfork bifurcation. The deformation of cross section of rods causes a little shift of bifurcation points towards to the one corresponding to larger slenderness ratio. 展开更多
关键词 singularity theory BUCKLING STABILITY compressible slender rods
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