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Exact Solutions and Mode Transition for Out-of-Plane Vibrations of Non-uniform Beams with Variable Curvature 被引量:1
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作者 Sen-Yung Lee Shueei-Muh Lin Kai-Ping Chang 《Computers, Materials & Continua》 SCIE EI 2016年第1期1-19,共19页
The two coupled governing differential equations for the out-of-plane vibrations of non-uniform beams with variable curvature are derived via the Hamilton’s principle.These equations are expressed in terms of flexura... The two coupled governing differential equations for the out-of-plane vibrations of non-uniform beams with variable curvature are derived via the Hamilton’s principle.These equations are expressed in terms of flexural and torsional displacements simultaneously.In this study,the analytical method is proposed.Firstly,two physical parameters are introduced to simplify the analysis.One derives the explicit relations between the flexural and the torsional displacements which can also be used to reduce the difficulty in experimental measurements.Based on the relation,the two governing characteristic differential equations with variable coefficients can be uncoupled into a sixth-order ordinary differential equation in terms of the flexural displacement only.When the material and geometric properties of the beam are in arbitrary polynomial forms,the exact solutions with regard to the outof-plane vibrations of non-uniform beams with variable curvature can be obtained by the recurrence formula.In addition,the mode transition mechanism is revealed and the influence of several parameters on the vibration of the non-uniform beam with variable curvature is explored. 展开更多
关键词 Out-of-plane vibration Variable curvature Non-uniform beam Exact solution mode transition
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Decay Mode Solutions to (2 + 1)-Dimensional Burgers Equation, Cylindrical Burgers Equation and Spherical Burgers Equation 被引量:1
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作者 Xiangzheng Li Jinliang Zhang Mingliang Wang 《Journal of Applied Mathematics and Physics》 2017年第5期1009-1015,共7页
Three (2 + 1)-dimensional equations—Burgers equation, cylindrical Burgers equation and spherical Burgers equation, have been reduced to the classical Burgers equation by different transformation of variables respecti... Three (2 + 1)-dimensional equations—Burgers equation, cylindrical Burgers equation and spherical Burgers equation, have been reduced to the classical Burgers equation by different transformation of variables respectively. The decay mode solutions of the Burgers equation have been obtained by using the extended -expansion method, substituting the solutions obtained into the corresponding transformation of variables, the decay mode solutions of the three (2 + 1)-dimensional equations have been obtained successfully. 展开更多
关键词 DECAY mode solution (2 + 1)-Burgers EQUATION (2 + 1)-Cylindrical BURGERS EQUATION (2 + 1)-Spherical BURGERS EQUATION Transformation of Variables Extended (G'/G)-Expansion Method
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Diffusion Mode Transition between Gaussian and Non-Gaussian of Nanoparticles in Polymer Solutions
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作者 Yi Ye Han Qin +1 位作者 Ming Tian Jian-Guo Mi 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2019年第7期719-728,共10页
The dynamic density functional theory is applied to study the diffusion of nanoparticles in polymer solutions, in which different diffusion modes have been identified by exploiting the density and free energy evolutio... The dynamic density functional theory is applied to study the diffusion of nanoparticles in polymer solutions, in which different diffusion modes have been identified by exploiting the density and free energy evolutions. Under the condition of low polymer concentration, diffusion is controlled by particle free motion with a normal Gaussian type. As the concentration increases, the non- Gaussian behavior can be observed when the particle size is comparable to the correlation length of polymer chain. Particles need to penetrate through a cage and overcome an entropic barrier, where the hopping and the model-coupling diffusion coexist. Further increase of polymer concentration can result in complete restriction of the particle by surrounding polymer segments. In this case, the non-Gaussian process fades away, and particle diffusion is controlled by Rouse dynamics of polymer chains with the generalized Gaussian characteristics. 展开更多
关键词 NANOPARTICLE Polymer solution DIFFUSION modeS Driving FORCE Dynamic density functional theory
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Numerical solutions of rotational normal modes of a triaxial two-layered anelastic Earth
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作者 Wenbin Shen Zhuo Yang +1 位作者 Zhiliang Guo Wenying Zhang 《Geodesy and Geodynamics》 2019年第2期118-129,共12页
The Earth's rotational normal modes depend on Earth model used, including the layer structures,principal inertia moments of different layers and the compliances. This study focuses on providing numerical solution ... The Earth's rotational normal modes depend on Earth model used, including the layer structures,principal inertia moments of different layers and the compliances. This study focuses on providing numerical solution of the rotational normal modes of a triaxial two-layered anelastic Earth model without external forces but with considering the complex forms of compliances and the electromagnetic coupling between the core and mantle. Based on the present knowledge of the Chandler wobble(CW) and Free Core Nutation(FCN), we provide a set of complete compliances which could be used for reference in further investigations. There are eight rotational normal mode solutions, four of which might exist in nature. However, in reality only two of these four solutions correspond to the present motion status of the prograde CW and the retrograde FCN. On one hand, our numerical calculations show that the periods and quality factors(Qs) of CW and FCN are respectively 434.90 and 429.86 mean solar days(d) and 76.56 and 23988.47 under frequency-dependent assumption, and the triaxiality prolongs CW about 0.01 d and has hardly effect on FCN. On the other hand, we analyze the sensibility of compliances and electromagnetic coupling parameter on the periods and Qs of CW and FCN and find the sensitive parameters with respect to them. 展开更多
关键词 EARTH ROTATION TRIAXIAL two-layered anelastic EARTH model Compliances ROTATIONAL normal modeS Numerical solution
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Decay Mode Solutions for Kadomtsev-Petviashvili Equation
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作者 樊国号 邓淑芳 张孟 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第5期759-763,共5页
The decay mode solutions for the Kadomtsev-Petviashvili (KP) equation are derived by Hirota method (direct method).The decay mode solution is a new set of analytical solutions with Airy function.
关键词 KP equation decay mode solution Airy function
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Effect of Healthcare Failure Mode and Effect Analysis on Reducing Error Risk of Neonatal Parenteral Nutrition Solution Dispensing
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作者 Xinhong ZHAO Zhenhua LIU +3 位作者 Chao SUN Xu XIAO Lixue ZHAO Chunhua CAI 《Medicinal Plant》 CAS 2022年第2期63-69,共7页
[Objectives]To investigate the effect of healthcare failure mode and effect analysis(HFMEA)on reducing error risk of neonatal parenteral nutrition solution dispensing.[Methods]A research team was established to identi... [Objectives]To investigate the effect of healthcare failure mode and effect analysis(HFMEA)on reducing error risk of neonatal parenteral nutrition solution dispensing.[Methods]A research team was established to identify the failure mode(FM)in each link of the formulation process of neonatal parenteral nutrition solution by HFMEA,quantify the severity(S),occurrence(O)and detection(D)of FM,and evaluate FM by risk priority number(RPN).For FM with the values of RPN>16,failure cause analysis was conducted,and corresponding improvement measures were formulated.The weight coefficient and random consistency ratio(CR)of deployment process were calculated in Matlab R2018a by compiling the Analytic Hierarchy Process(AHP)program.Six months after the implementation of improvement measures,the implementation effect was evaluated by comparing the changes of the values of RPN which was evaluated comprehensively and the rate of dispensing errors before and after the implementation of HFMEA.[Results]In the preparation process of neonatal parenteral nutrition solution,a total of 13 FMs with medium and above risk were found,the weight coefficient of medical order review,dosing and mixing was 0.2703,the weight coefficient of drug dispensing check and review was 0.1432,the weight coefficient of print label was 0.1015,the weight coefficient of distribution was 0.0716,and CR=0.0491<0.1.After six months of intervention,the total RPN value decreased by 64.81%from 127.8 to 45.0.The deployment error rates were significantly lower after the implementation,and the difference was statistically significant(P<0.05).[Conclusions]HFMEA can effectively reduce the error risk in preparation of neonatal parenteral nutrition solution,improve the quality of dispensing and promote the safety of neonatal medication. 展开更多
关键词 Healthcare failure mode and effect analysis(HFMEA) Neonatal parenteral nutrition solution Dispensing errors Risk management Analytic hierarchy process(AHP)
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Delocalized Nonlinear Vibrational Modes in Bcc Lattice for Testing and Improving Interatomic Potentials
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作者 Denis S.Ryabov IgorV.Kosarev +2 位作者 Daxing Xiong Aleksey A.Kudreyko Sergey V.Dmitriev 《Computers, Materials & Continua》 2025年第3期3797-3820,共24页
Molecular dynamics(MD)is a powerful method widely used in materials science and solid-state physics.The accuracy of MD simulations depends on the quality of the interatomic potentials.In this work,a special class of e... Molecular dynamics(MD)is a powerful method widely used in materials science and solid-state physics.The accuracy of MD simulations depends on the quality of the interatomic potentials.In this work,a special class of exact solutions to the equations of motion of atoms in a body-centered cubic(bcc)lattice is analyzed.These solutions take the form of delocalized nonlinear vibrational modes(DNVMs)and can serve as an excellent test of the accuracy of the interatomic potentials used in MD modeling for bcc crystals.The accuracy of the potentials can be checked by comparing the frequency response of DNVMs calculated using this or that interatomic potential with that calculated using the more accurate ab initio approach.DNVMs can also be used to train new,more accurate machine learning potentials for bcc metals.To address the above issues,it is important to analyze the properties of DNVMs,which is the main goal of this work.Considering only the point symmetry groups of the bcc lattice,34 DNVMs are found.Since interatomic potentials are not used in finding DNVMs,they are exact solutions for any type of potential.Here,the simplest interatomic potentials with cubic anharmonicity are used to simplify the analysis and to obtain some analytical results.For example,the dispersion relations for small-amplitude phonon modes are derived,taking into account interactions between up to the fourth nearest neighbor.The frequency response of the DNVMs is calculated numerically,and for some DNVMs examples of analytical analysis are given.The energy stored by the interatomic bonds of different lengths is calculated,which is important for testing interatomic potentials.The pros and cons of using DNVMs to test and improve interatomic potentials for metals are discussed.Since DNVMs are the natural vibrational modes of bcc crystals,any reliable interatomic potential must reproduce their properties with reasonable accuracy. 展开更多
关键词 Interatomic potentials molecular dynamics bcc lattice long-range interactions dispersion relation nonlinear dynamics exact solution delocalized nonlinear vibrational mode
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EXACT SOLUTIONS FOR FREE IN-PLANE VIBRATIONS OF RECTANGULAR PLATES 被引量:5
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作者 Bo Liu Yufeng Xing 《Acta Mechanica Solida Sinica》 SCIE EI 2011年第6期556-567,共12页
All possible exact solutions are successfully obtained in terms of 10 sets of distinct eigensolutions for the free in-plane vibration of isotropic rectangular plates. The plates have simply supported condition at two ... All possible exact solutions are successfully obtained in terms of 10 sets of distinct eigensolutions for the free in-plane vibration of isotropic rectangular plates. The plates have simply supported condition at two opposite edges and any combination of classical boundary conditions at the other two edges. The exact solutions are validated through both mathematical proof and comparisons with the solutions of differential quadrature method. Some unusual phenomena are revealed in free in-plane vibrations of rectangular plates due to one of the eigenvalues being zero. This work constitutes an improved version of very recent corresponding work by the same authors lint. J. Mech. Sci., 2009, 51: 246-255]. Both the solution forms and solving procedures in the previous work are substantially simplified. Some new results are also given, which are useful for validation purpose in future. 展开更多
关键词 rectangular plate in-pane free vibration FREQUENCY mode shape exact solution
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A PENNY-SHAPED CRACK IN A TRANSVERSELY ISOTROPIC PIEZOELECTRIC SOLID:MODES Ⅱ AND Ⅲ PROBLEMS 被引量:2
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作者 陈伟球 丁皓江 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1999年第1期52-58,共7页
An exact analysis of the modes Ⅱ and Ⅲ problems of a penny- shaped crack in a transversely isotropic piezoelectric medium is performed in this paper.The potential theory method is employed based on the general solut... An exact analysis of the modes Ⅱ and Ⅲ problems of a penny- shaped crack in a transversely isotropic piezoelectric medium is performed in this paper.The potential theory method is employed based on the general solution of three-dimensional piezoelasticity and the four harmonics involved are represented by one complex potential.Previous results in potential theory are then utilized to obtain the exact solution that is expressed in terms of elementary functions.Comparison is made between the current results with those published and good agreement is obtained. 展开更多
关键词 transversely isotropic piezoelectric material general solution potential theory penny-shaped crack modes and
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Piezoelectric transducer parameter selection for exciting a single mode from multiple modes of Lamb waves 被引量:1
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作者 张海燕 于建波 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第9期262-270,共9页
Excitation and propagation of Lamb waves by using rectangular and circular piezoelectric transducers surface- bonded to an isotropic plate are investigated in this work. Analytical stain wave solutions are derived for... Excitation and propagation of Lamb waves by using rectangular and circular piezoelectric transducers surface- bonded to an isotropic plate are investigated in this work. Analytical stain wave solutions are derived for the two transducer shapes, giving the responses of these transducers in Lamb wave fields. The analytical study is supported by a numericM simulation using the finite element method. Symmetric and antisymmetric components in the wave propagation responses are inspected in detail with respect to test parameters such as the transducer geometry, the length and the excitation frequency. By placing only one piezoelectric transducer on the top or the bottom surface of the plate and weakening the strength of one mode while enhancing the strength of the other modes to find the centre frequency, with which the peak wave amplitude ratio between the SO and A0 modes is maximum, a single mode excitation from the multiple modes of the Lamb waves can be achieved approximately. Experimental data are presented to show the validity of the analyses. The results are used to optimize the Lamb wave detection system. 展开更多
关键词 Lamb waves parameter selection analytical stain wave solutions single mode
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THE SOLUTION OF RECTANGULAR PLATES WITH LARGE DEFLECTION BY SPLINE FUNCTIONS
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作者 潘立宙 陈为众 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第5期429-439,共11页
In this paper, Von Karman's set of nonlinear equations for rectangular plates with large deflection is divided into several sets of linear equations by perturbation method, the dimensionless center deflection bein... In this paper, Von Karman's set of nonlinear equations for rectangular plates with large deflection is divided into several sets of linear equations by perturbation method, the dimensionless center deflection being taken as a perturbation parameter. These sets of linear equations are solved by the spline finite-point (SFP) method and by the spline finite element (SFE) method. The solutions for rectangular plates having any length-to-width ratios under a uniformly distributed load and with various boundary conditions are presented, and the analytical formulas for displacements and deflections are given in the paper. The computer programs are worked out by ourselves. Comparison of the results with those in other papers indicates that the results of this paper are satisfactorily better. 展开更多
关键词 LI THE solution OF RECTANGULAR PLATES WITH LARGE DEFLECTION BY SPLINE FUNCTIOns CHEN mode
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MAN Development and Technical Solutions
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作者 Wei Leping (China Telecom Corporation,Beijing 100032,China) 《ZTE Communications》 2004年第1期6-10,共5页
This paper describes the major problems that Metropolitan Area Network(MAN)is facing and presents basic requirements of the next generation MAN.It presents four technical solutions:SDH,Ethernet, Resilient Packet Ring ... This paper describes the major problems that Metropolitan Area Network(MAN)is facing and presents basic requirements of the next generation MAN.It presents four technical solutions:SDH,Ethernet, Resilient Packet Ring and WDM Multiservice Platform.Based on the analysis of these solutions,it is concluded that the above technologies should be used together and different technologies should be employed under different circumstances to make an integrated solution for MAN,while SDH multiservice will play a center role in the near future. 展开更多
关键词 WDM RPR MAN Development and Technical solutions SDH mode MSTP
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WiMAX Networking Technologies and Solutions
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作者 Liu Hongchun (CDMA Division of ZTE Corporation, Shanghai 201203, China) 《ZTE Communications》 2005年第2期21-25,共5页
Based on the introduction of the WiMAX standards, relevant technologies and applications, three essential factors for WiMAX networking are analyzed. They are the frequency plan, Authentication Authorization Accounting... Based on the introduction of the WiMAX standards, relevant technologies and applications, three essential factors for WiMAX networking are analyzed. They are the frequency plan, Authentication Authorization Accounting (AAA) and the mobility management. Networking solutions for the fixed and mobile applications are presented respectively. It is noted that the evolution of wireless WiMAX networking will go through four phases: the outdoor access phase, the indoor access phase, the seamed roaming phase and the seamless mobility phase. It is predicted that WiMAX will eventually converge with the NGN and the mobile cellular networks. 展开更多
关键词 WiMAX Networking Technologies and solutions mode
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PDF Solutions上海落户,为半导体产业提供本地化服务
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《电子产品世界》 2006年第08X期103-103,共1页
关键词 solutionS 技术服务 半导体产业 PDF 本地化 上海 集成电路芯片 ns公司
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Temperature Compensated Solution Concentration Measurement Based on a Cascaded SMS/LPFG Fiber Structure
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作者 Jin Wang Li Wang +1 位作者 Xueqiong Su Huanhuan Yan 《Optics and Photonics Journal》 2021年第8期294-300,共7页
<div style="text-align:justify;"> In this paper, a hybrid optical fiber structure for solution concentration measurement with the temperature compensation is proposed. The structure consists of long pe... <div style="text-align:justify;"> In this paper, a hybrid optical fiber structure for solution concentration measurement with the temperature compensation is proposed. The structure consists of long period fiber grating (LPFG) and single mode-multimode-single mode (SMS) fiber structures. The sensing mechanism of the device is studied and verified by experiments. LPFG is sensitive to solution concentration and is affected by temperature crosstalk. SMS structure is not affected by solution concentration, but sensitive to ambient temperature. It can be used as a temperature compensation system. The sensitivity coefficients of LPFG and SMS on temperature and concentration were measured experimentally, and a dual-wavelength matrix was established to realize simultaneous measurement of solution temperature and concentration. </div> 展开更多
关键词 Long Period Fiber Grating Multimode mode Fiber solution Concentration Temperature Dual-Wavelength Matrix
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A novel sensor of potassium ions based on mode-filtered light detection
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作者 Xiao Hong Zhao Li Ping Yang +3 位作者 Suo Zhu Wu Wen Ping Cheng Shao Min Shuang Chuan Dong 《Chinese Chemical Letters》 SCIE CAS CSCD 2010年第10期1243-1246,共4页
A novel potassium ions sensor based on mode-filtered light detection was reported. The analyzer was consisting of an optical fiber immobilized with a dye of bromocresol green and a fused-silica capillary. It was found... A novel potassium ions sensor based on mode-filtered light detection was reported. The analyzer was consisting of an optical fiber immobilized with a dye of bromocresol green and a fused-silica capillary. It was found that mode-filtered light intensity decreased with the concentration of potassium ions and a linear detection range of 0.25-20 mmol/L (R^2 = 0.9977) was obtained with a detection limit of 9 ×10^-5 mol/L as well as fast response, good reproducibility and reversibility in the working concentration range. 展开更多
关键词 mode-filtered light Potassium ions Aqueous solution Bromocresol green
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Tailored Solutions在澳洲安装第一套Label Traxx软件
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《印刷技术》 2008年第12期3-3,共1页
近日,澳大利亚Elna Press公司安装了美国Tailored Solutions公司开发的Label Traxx印刷业务软件,这也是澳大利亚安装的第一套Label Traxx印刷业务软件。
关键词 solutionS 安装 软件 澳洲 澳大利亚 印刷业务 ess公司 ns公司
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世伟洛克(Swagelok)与Jetalon Solutions合作推广CR-288浓度监测技术
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《电子与封装》 2006年第11期44-44,共1页
世伟洛克公司于2006年10月18日宣布已与Jetalon Solutions公司(为要求高精度流程监控器的行业提供液体化学品传感器和控制系统的开发商)签署了独家合作协议,商业推广CR-288浓度监测技术。
关键词 solutionS 监测技术 合作协议 浓度 液体化学品 控制系统 ns公司 开发商
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Electrochemical corrosion behaviors of the X90 linepipe steel in NS4 solution
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作者 Luo Jinheng Zhang Liang +4 位作者 Li Lifeng Yang Fengping Ma Weifeng Wang Ke Zhao Xinwei 《Natural Gas Industry B》 2016年第4期346-351,共6页
Oil and gas line pipes are laid underground and run through different areas in the laying process,so they will be subjected to different degrees of corrosion and even crack,leading to enormous casualties and economic ... Oil and gas line pipes are laid underground and run through different areas in the laying process,so they will be subjected to different degrees of corrosion and even crack,leading to enormous casualties and economic losses.In order to guarantee the safe operation of line pipes,therefore,it is significant to investigate the electrochemical corrosion behaviors of pipe steel in a simulated soil environment.In this paper,the electrochemical corrosion behaviors of the base metals and welding materials of API 5L X90 steel longitudinally submerged arc welding pipes in near-neutral simulated soil solution(NS4)were studied by means of the electrochemical impedance spectroscopy(EIS)and the potentiodynamic polarization testing technology.It is shown that the typical characteristic of anodic dissolution is presented but with no passivation phenomenon when X90 linepipe steel is put in NS4 solution.The base material is thermodynamically more stable than the seam weld material.The base material and seam weld samples were polarized under -850 mV polarization potential for different durations.It is demonstrated that with the proceeding of polarization,the polarization resistance and the corrosion resistance increase while the corrosion current density decreases.And the corrosion resistance of base material is better than that of seam weld material. 展开更多
关键词 API 5L X90 linepipe steel Base metal Welding seam ns4 solution Anodic dissolution Thermodynamic stability Electrochemical impedance spectroscopy(EIS) Corrosion resistance
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矩形加筋板固有振动半解析分析方法 被引量:1
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作者 邢誉峰 李玉婷 《航空学报》 北大核心 2025年第5期335-352,共18页
加筋板结构在航空航天、船舶等工程领域中应用广泛,对其固有振动特性展开研究具有重要的理论价值和应用价值。针对矩形加筋板固有模态的求解问题,基于Rayleigh商和Rayleigh-Ritz法提出一种半解析分析方法。在该方法中,封闭形式的薄板模... 加筋板结构在航空航天、船舶等工程领域中应用广泛,对其固有振动特性展开研究具有重要的理论价值和应用价值。针对矩形加筋板固有模态的求解问题,基于Rayleigh商和Rayleigh-Ritz法提出一种半解析分析方法。在该方法中,封闭形式的薄板模态函数作为加筋板模态函数的基函数,根据Rayleigh商得到加筋板频率方程和模态函数。此外,对于四边简支单筋加筋板的固有振动问题,由Rayleigh商得到其控制微分方程,采用分离变量方法求得其精确解。通过把所得结果与有限元结果和文献结果进行比较,验证了所提方法的有效性与精确性。所提方法可以用于加筋板的理论分析和参数化设计。 展开更多
关键词 半解析分析方法 固有模态 加筋板 RAYLEIGH商 参数化分析
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