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Transient analysis of functionally graded curved shells using a nonuniform shape parameter integrated radial basis function approach
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作者 Vay Siu Lo Andrzej Katunin Thien Tich Truong 《Theoretical & Applied Mechanics Letters》 2025年第3期296-308,共13页
In this study,an improved integrated radial basis function with nonuniform shape parameter is introduced.The proposed shape parameter varies in each support domain and is defined byθ=1/d_(max),where d_(max)is the max... In this study,an improved integrated radial basis function with nonuniform shape parameter is introduced.The proposed shape parameter varies in each support domain and is defined byθ=1/d_(max),where d_(max)is the maximum distance of any pair of nodes in the support domain.The proposed method is verified and shows good performance.The results are stable and accurate with any number of nodes and an arbitrary nodal distribution.Notably,the support domain should be large enough to obtain accurate results.This method is then applied for transient analysis of curved shell structures made from functionally graded materials with complex geometries.Through several numerical examples,the accuracy of the proposed approach is demonstrated and discussed.Additionally,the influence of various factors on the dynamic behavior of the structures,including the power-law index,different materials,loading conditions,and geometrical parameters of the structures,was investigated. 展开更多
关键词 Integrated radial basis function shape parameter Functionally graded material Curved shell Transient analysis
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Numerical analysis of solid–liquid interface shape during largesize single crystalline silicon with Czochralski method 被引量:7
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作者 Ran Teng Qing Chang +3 位作者 Yang Li Bin Cui Qing-Hua Xiao Guo-Hu Zhang 《Rare Metals》 SCIE EI CAS CSCD 2017年第4期289-294,共6页
Numerical analysis is an effective tool to research the industrial Czochralski (CZ) crystal growth aiming to improve crystal quality and reduce manufactur- ing costs. In this study, a set of global simulations were ... Numerical analysis is an effective tool to research the industrial Czochralski (CZ) crystal growth aiming to improve crystal quality and reduce manufactur- ing costs. In this study, a set of global simulations were carried out to investigate the effect of crystal-crucible rotation and pulling rate on melt convection and solid- liquid (SL) interface shape. Through analyses of the sim- ulation data, it is found that the interface deformation and inherent stress increase during the crystal growth process. The interface deflection increases from 7.4 to 51.3 mm with an increase in crystal size from 150 to 400 mm. In addition, the SL interface shape and flow pattern are sen- sitive to pulling rate and rotation rate. Reducing pulling rate can flat SL interface shape and add energy-consuming. Interface with low deflection can be achieved by adopting certain combination of crystal and crucible rotation rates. The effect of crystal rotation on SL interface shape is less significant at higher crucible rotation rates. 展开更多
关键词 Czochralski method Numerical analysis Pullrate Crucible rotation Crystal rotation Solid/liquidinterface shape
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Description of shape characteristics through Fourier and wavelet analysis 被引量:3
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作者 Yuan Zhanwei Li Fuguo +1 位作者 Zhang Peng Chen Bo 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2014年第1期160-168,共9页
In this paper, Fourier and Wavelet transformation were adopted to analyze shape char- acteristics, with twelve simple shapes and two types of second phases from real microstructure mor- phology. According to the resul... In this paper, Fourier and Wavelet transformation were adopted to analyze shape char- acteristics, with twelve simple shapes and two types of second phases from real microstructure mor- phology. According to the results of Fast Fourier transformation (FFT), the Fourier descriptors can be used to characterize the shape from the aspects of the first eight Normalization amplitudes, the number of the largest amplitudes to inverse reconstruction, similarity of shapes and profile roughness. And the Diepenbroek Roughness was rewritten by Normalization amplitudes of FFT results. Moreover, Sum Square of Relative Errors (SSRE) of Wavelet transformation (WT) signal sequence, including approximation signals and detail signals, was introduced to evaluate the simi- larity and relative orientation among shapes. As a complement to FFT results, the WT results can retain more detailed information of shapes including their orientations. Besides, the geometric sig- natures of the second phases were extracted by image processing and then were analyzed by means of FFT and WT. 展开更多
关键词 Fourier analysis Roughness measurement shape characteristics SIMILARITY Wavelet analysis
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Stock discrimination of spottedtail goby (Synechogobius ommaturus) in the Yellow Sea by analysis of otolith shape 被引量:7
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作者 王英俊 叶振江 +1 位作者 刘群 曹亮 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2011年第1期192-198,共7页
Otolith shape is species specific and is an ideal marker of fish population affiliation. In this study, otolith shape of spottedtail goby Synechogobius ommaturus is used to identify stocks in different spawning locati... Otolith shape is species specific and is an ideal marker of fish population affiliation. In this study, otolith shape of spottedtail goby Synechogobius ommaturus is used to identify stocks in different spawning locations in the Yellow Sea. The main objectives of this study are to explore the potential existence of local stocks of spottedtail goby in the Yellow Sea by analysis of otolith shape, and to investigate ambient impacts on otolith shape. Spottedtail goby was sampled in five locations in the Yellow Sea in 2007 and 2008. Otoliths are described using variables correlated to size (otolith area, perimeter, length, width, and weight) and shape (rectangularity, circularity, and 20 Fourier harmonics). Only standardized otolith variables are used so that the effect of otolith size on the shape variables could be eliminated. There is no significant difference among variables of sex, year, and side (left and right). However, the otolith shapes of the spring stocks and the autumn stocks differ significantly. Otolith shape differences are greater among locations than between years. Correct classification rate of spottedtail goby with the otolith shape at different sampling locations range from 29.7%–77.4%. 展开更多
关键词 Synechogobius ommaturus the Yellow Sea otolith shape Fourier analysis
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An efficient numerical shape analysis for light weight membrane structures 被引量:12
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作者 Chao YANG Yan-bin SHEN Yao-zhi LUO 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2014年第4期255-271,共17页
The determination of initial equilibrium shapes is a common problem in research work and engineering applications related to membrane structures. Using a general structural analysis framework of the finite particle me... The determination of initial equilibrium shapes is a common problem in research work and engineering applications related to membrane structures. Using a general structural analysis framework of the finite particle method (FPM), this paper presents the first application of the FPM and a recently-developed membrane model to the shape analysis of light weight mem- branes. The FPM is rooted in vector mechanics and physical viewpoints. It discretizes the analyzed domain into a group of parti- cles linked by elements, and the motion of the free particles is directly described by Newton's second law while the constrained ones follow the prescribed paths. An efficient physical modeling procedure of handling geometric nonlinearity has been developed to evaluate the particle interaction forces. To achieve the equilibrium shape as fast as possible, an integral-form, explicit time integration scheme has been proposed for solving the equation of motion. The equilibrium shape can be obtained naturally without nonlinear iterative correction and global stiffness matrix integration. Two classical curved surfaces of tension membranes pro- duced under the uniform-stress condition are presented to verify the accuracy and efficiency of the proposed method. 展开更多
关键词 Tension membranes Finite particle method (FPM) shape analysis Explicit time integration Initial equilibriumshape
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DSC ANALYSIS OF A CuZnAl TWO WAY SHAPE MEMORY ALLOY DURING AGEING 被引量:2
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作者 Zhang Jianxin, Cai Wei, Zhao Liancheng School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001 《中国有色金属学会会刊:英文版》 CSCD 1997年第4期35-38,共4页
DSCANALYSISOFACuZnAlTWOWAYSHAPEMEMORYALLOYDURINGAGEING①ZhangJianxin,CaiWei,ZhaoLianchengSchoolofMaterialsSci... DSCANALYSISOFACuZnAlTWOWAYSHAPEMEMORYALLOYDURINGAGEING①ZhangJianxin,CaiWei,ZhaoLianchengSchoolofMaterialsScienceandEnginering... 展开更多
关键词 shape MEMORY ALLOY TWO WAY shape MEMORY effect thermal analysis degradation
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Application of otolith shape analysis for stock discrimination and species identification of five goby species(Perciformes: Gobiidae) in the northern Chinese coastal waters 被引量:3
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作者 于鑫 曹亮 +3 位作者 刘金虎 赵博 单秀娟 窦硕增 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2014年第5期1060-1073,共14页
We tested the use of otolith shape analysis to discriminate between species and stocks of five goby species( Ctenotrypauchen chinensis, Odontamblyopus lacepedii, Amblychaeturichthys hexanema, Chaeturichthys stigmatias... We tested the use of otolith shape analysis to discriminate between species and stocks of five goby species( Ctenotrypauchen chinensis, Odontamblyopus lacepedii, Amblychaeturichthys hexanema, Chaeturichthys stigmatias, and Acanthogobius hasta) found in northern Chinese coastal waters. The five species were well differentiated with high overall classification success using shape indices(83.7%), elliptic Fourier coefficients(98.6%), or the combination of both methods(94.9%). However, shape analysis alone was only moderately successful at discriminating among the four stocks(Liaodong Bay, LD; Bohai Bay, BH; Huanghe(Yellow) River estuary HRE, and Jiaozhou Bay, JZ stocks) of A. hasta(50%–54%) and C. stigmatias(65.7%–75.8%). For these two species, shape analysis was moderately successful at discriminating the HRE or JZ stocks from other stocks, but failed to effectively identify the LD and BH stocks. A large number of otoliths were misclassified between the HRE and JZ stocks, which are geographically well separated. The classification success for stock discrimination was higher using elliptic Fourier coefficients alone(70.2%) or in combination with shape indices(75.8%) than using only shape indices(65.7%) in C. stigmatias whereas there was little difference among the three methods for A. hasta. Our results supported the common belief that otolith shape analysis is generally more effective for interspecific identification than intraspecific discrimination. Moreover, compared with shape indices analysis, Fourier analysis improves classification success during inter- and intra-species discrimination by otolith shape analysis, although this did not necessarily always occur in all fish species. 展开更多
关键词 GOBIES inter- and intra-specific identification otolith morphology elliptic Fourier analysis shape indices
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Modeling bending behavior of shape memory alloy wire-reinforced composites: Semi-analytical model and finite element analysis 被引量:3
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作者 Nguyen Van VIET Wael ZAKI 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2021年第8期176-191,共16页
In this study,we propose a novel and simple exact semi-analytical model for superelastic Shape Memory Alloy(SMA)wire reinforced composites subjected to bending loads.In order to study the mechanical response of the co... In this study,we propose a novel and simple exact semi-analytical model for superelastic Shape Memory Alloy(SMA)wire reinforced composites subjected to bending loads.In order to study the mechanical response of the composite during loading/unloading,a Representative Volume Element(RVE)is extracted to examine the bending response of the composite.Analytical moment–curvature,and shear force-shear strain relations are derived based on a 3-Dimensional(3 D)thermomechanical SMA model and Timoshenko beam theory.The composite Simpson’s rule is adopted to numerically solve the exact analytical moment–curvature and shear force-shear strain relationships.Results including the moment–curvature response,axial stress distribution along the vertical and longitudinal directions,martensite volume fraction,and the tip deflection are reported and validated against 3 D finite element simulations.The influence of temperature,martensite volume fraction distribution,and matrix stiffness on the mechanical performance of the composite is also investigated.In particular,the composite is found to behave superelastically under certain conditions of temperature,SMA volume fraction,and elastic stiffness of the matrix.Such behavior is advantageous in applications requiring large recoverable strains or high energy dissipation density. 展开更多
关键词 BENDING Finite element analysis MODELLING Phase transformation shape memory alloy reinforced composite SUPERELASTICITY
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MESO-MECHANICAL ANALYSIS OF SHAPE MEMORY ALLOY REINFORCED SMART STRUCTURE WITH DAMAGE 被引量:1
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作者 Hu Zili 《Acta Mechanica Solida Sinica》 SCIE EI 2006年第3期189-195,共7页
The mechanical behaviors of shape memory alloy (SMA) wires reinforced smart structure with damage were analyzed through the variational principle, a governing equation for the structure was derived, mathematical exp... The mechanical behaviors of shape memory alloy (SMA) wires reinforced smart structure with damage were analyzed through the variational principle, a governing equation for the structure was derived, mathematical expressions for the meso-displacement field, stressstrain field of typical element with damage were presented, and a failure criterion for interface failure between SMA wires and matrix was established under two kinds of actuation which are dead-load and temperature, where the temperature is included in effective free restoring strain. In addition, there are some other composing factors in the failure criterion such as the interface properties, dynamical properties of SMA, initial debonding length L - l etc. The results are significant to understand structural strength self-adapted control and failure mechanism of SMA wires reinforced smart structure with damage. 展开更多
关键词 smart structures DAMAGE shape memory alloy FAILURE meso-mechanical analysis variational principle
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VIBRATION ANALYSIS OF A BEAM WITH EMBEDDED SHAPE MEMORY ALLOY WIRES 被引量:1
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作者 Mohammad Mehdi Barzegari Morteza Dardel Alireza Fathi 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2013年第5期536-550,共15页
In this study, analytical relations for evaluating the exact solution of natural fre- quency and mode shape of beams with embedded shape memory alloy (SMA) wires are presented. Beams are modeled according to Euler-B... In this study, analytical relations for evaluating the exact solution of natural fre- quency and mode shape of beams with embedded shape memory alloy (SMA) wires are presented. Beams are modeled according to Euler-Bernoulli, Timoshenko and third order beam (Reddy) the- ories. A relation is obtained for determining the effect of axial load generated by the recovery action of pre-strained SMA wires. By defining some dimensionless quantities~ the effect of different me- chanical properties on the frequencies and mode shapes of the system are carefully examined. The effect of axial load generated by SMA wires with buckling load and frequency jump is accurately studied. 展开更多
关键词 shape memory alloy natural frequency mode analysis frequency jump Euler-Bernoulli TIMOSHENKO third order beam BUCKLING
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Corpus callosum in schizophrenia with deficit and non-deficit syndrome:a statistical shape analysis 被引量:1
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作者 Yaşar Türk Ilker Ercan +5 位作者 Ibrahim Sahin Basak Erdemli Gursel Arda Uzunoglu CemÖge Elmas Beyazyüz Yakup Albayrak 《General Psychiatry》 CSCD 2021年第6期42-48,共7页
Background The corpus callosum(CC)is the most targeted region in the cerebrum that integrates cognitive data between homologous areas in the right and left hemispheres.Aims Our study used statistical analysis to deter... Background The corpus callosum(CC)is the most targeted region in the cerebrum that integrates cognitive data between homologous areas in the right and left hemispheres.Aims Our study used statistical analysis to determine whether there was a correlation between shape changes in the CC in patients with schizophrenia(SZ)(deficit syndrome(DS)and non-deficit syndrome(NDS))and healthy control(HC)subjects.Methods This study consisted of 27 HC subjects and 50 schizophrenic patients(20 with DS and 30 with NDS).3 patients with DS and 4 patients with NDS were excluded.Three-dimensional,sagittal,T1-spoiled,gradient-echo imaging was used.Standard anatomical landmarks were selected and marked on each image using specific software.results As to comparing the Procrustes mean shapes of the CC,statistically significant differences were observed between HC and SZ(DS+NDS)(p=0.017,James’s Fj=73.732),HC and DS(p<0.001,James’s Fj=140.843),HC and NDS(p=0.006,James’s Fj=89.178)and also DS and NDS(p<0.001,James’s Fj=152.967).Shape variability in the form of CC was 0.131,0.085,0.082 and 0.086 in the HC,SZ(DS+NDS),DS and NDS groups,respectively.Conclusions This study reveals callosal shape variations in patients with SZ and their DS and NDS subgroups that take into account the CC’s topographic distribution. 展开更多
关键词 SCHIZOPHRENIA shape analysis
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Isogeometric Analysis and Shape Optimization of Holed Structures via the Patch Removing Technique 被引量:1
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作者 Daoyuan Yu Shouyu Cai +1 位作者 Wenya Fan Lan Zhang 《Computer Modeling in Engineering & Sciences》 SCIE EI 2020年第9期787-806,共20页
In this study,a patch removing based Isogeometric analysis(PR-IGA)method is proposed to conduct the holed structural analysis with only one parametric domain,in which there are also no trimmed elements.The theoretical... In this study,a patch removing based Isogeometric analysis(PR-IGA)method is proposed to conduct the holed structural analysis with only one parametric domain,in which there are also no trimmed elements.The theoretical foundation of this novel patch removing approach is that any holed structure can be obtained by removing sub-patches(i.e.,the holes)from an intact base patch.Since the parametric domains of these patches are all meshed by rectangular grids,the elements in the resulted holed structural parametric domain could all be untrimmed rectangles under certain mapping conditions.To achieve the special condition,a systematic technique consisting of T-spline local refinement and control points substitution/adjustment is provided.Due to the intactness of parametric elements,the analysis procedure of holed structures based on the proposed PRIGA is quite simplified and efficient compared to traditional multi-patch and trimming schemes.Moreover,after the deduction of analytical sensitivities related to structural mass and mechanical responses,the PR-IGA is directly employed in the holed structural shape optimization to successfully eliminate the need for model transformation during modeling,analysis and optimization processes.Numerical examples involving analysis and shape optimization of complex holed structures are presented to demonstrate the effectiveness of the proposed method. 展开更多
关键词 Isogeometric analysis patch removing shape optimization holed structure
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Evaluation of removal of the size effect using data scaling and elliptic Fourier descriptors in otolith shape analysis, exemplified by the discrimination of two yellow croaker stocks along the Chinese coast 被引量:1
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作者 赵博 刘金虎 +2 位作者 宋骏杰 曹亮 窦硕增 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2017年第6期1482-1492,共11页
Removal of the length ef fect in otolith shape analysis for stock identification using length scaling is an important issue; however, few studies have attempted to investigate the ef fectiveness or weakness of this me... Removal of the length ef fect in otolith shape analysis for stock identification using length scaling is an important issue; however, few studies have attempted to investigate the ef fectiveness or weakness of this methodology in application. The aim of this study was to evaluate whether commonly used size scaling methods and normalized elliptic Fourier descriptors(NEFDs) could ef fectively remove the size ef fect of fish in stock discrimination. To achieve this goal, length groups from two known geographical stocks of yellow croaker, L arimichthys polyactis, along the Chinese coast(five groups from the Changjiang River estuary of the East China Sea and three groups from the Bohai Sea) were subjected to otolith shape analysis. The results indicated that the variation of otolith shape caused by intra-stock fish length might exceed that due to inter-stock geographical separation, even when otolith shape variables are standardized with length scaling methods. This variation could easily result in misleading stock discrimination through otolith shape analysis. Therefore, conclusions about fish stock structure should be carefully drawn from otolith shape analysis because the observed discrimination may primarily be due to length ef fects, rather than dif ferences among stocks. The application of multiple methods, such as otoliths shape analysis combined with elemental fingering, tagging or genetic analysis, is recommended for sock identification. 展开更多
关键词 otolith shape analysis data scaling for fish length stock discrimination removal of length effect
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Finite element analysis of shape control for continuous hot rolling mills of super wide strip steel 被引量:5
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作者 YANG Guanghui LI Yuqi GAO Yang 《Computer Aided Drafting,Design and Manufacturing》 2013年第1期79-83,共5页
The efficacy of shape control is the core of this technology and the main basis of automatic shape control system model designing. This passage constructs the three-dimensional elastic deformation model of CVCplus rol... The efficacy of shape control is the core of this technology and the main basis of automatic shape control system model designing. This passage constructs the three-dimensional elastic deformation model of CVCplus roll system in 2250 mm hot rolling mill. Comparing and analyzing different influence of working factors on control characteristic, the shape control characteristic of CVCplus roll system in its whole work time is studied, and the cause is analyzed and the difference of the roll gap curve and crown adjustable area in early and latter work time is compared. The outcome has crucial meaning in both theory and production. 展开更多
关键词 hot rolling mill roll contour shape control finite element analysis
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Shape Analysis of Agricultural Parcels for Land Consolidation Priorities in Tekirdag Province,Turkey 被引量:1
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作者 Bahadir ALTURK 《Chinese Geographical Science》 SCIE CSCD 2024年第1期93-105,共13页
Shape irregularity,a sub-factor of parcel fragmentation is a problem that hinders sustainable agriculture and is solved using land consolidation projects.Determination of the parcel shape degree contributes significan... Shape irregularity,a sub-factor of parcel fragmentation is a problem that hinders sustainable agriculture and is solved using land consolidation projects.Determination of the parcel shape degree contributes significantly to spatial prioritization where there is also a high probability of achieving positive effects of consolidation projects.This study aims to determine the shape degree of the agricultural parcels both at singular and rural county scales in Tekirdag Province,Turkey in 2020 by combining the parcel shape index(PSI) with the minimum bounding geometry index(MBG) to improve parcel scores.Hot-spot zones of the highly irregular and near optimum parcels were also determined using Getis-Ord G_(i)^(*) statistic.The parcel degrees were classified into four categories,namely highly irregular,irregular,regular and near optimum.The obtained unweighted scores of the parameters exhibit deviations from the expected values.After weighting by pairwise comparison,the values approached ideal scores.Among 346 740 parcels,53% were highly irregular and irregular and 47% were regular and near optimum shapes after weighting whereas these were 70% and 30%,respectively before weighting.The average parcel degree of 63 rural counties was regular while the average parcel degree of the remaining 264 rural counties was irregular.The combined use of PSI and MBG index improved the correctness of the parcel shape score.It could be suggested to use as a tool in land consolidation prioritization. 展开更多
关键词 land consolidation priority parcel shape index(PSI) minimum bounding geometry(MBG) sustainable rural development hot-spot analysis Tekirdag Province TURKEY
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Buckling Analysis of Tapered Continuous Columns by Using Modified Buckling Mode Shapes
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作者 Sina Toosi Akbar Esfandiari Ahmad Rahbar Ranji 《Journal of Marine Science and Application》 CSCD 2019年第2期160-166,共7页
Elastic critical buckling load of a column depends on various parameters,such as boundary conditions,material,and crosssection geometry.The main purpose of this work is to present a new method for investigating the bu... Elastic critical buckling load of a column depends on various parameters,such as boundary conditions,material,and crosssection geometry.The main purpose of this work is to present a new method for investigating the buckling load of tapered columns subjected to axial force.The proposed method is based on modified buckling mode shape of tapered structure and perturbation theory.The mode shape of the damaged structure can be expressed as a linear combination of mode shapes of the intact structure.Variations in length in piecewise form can be positive or negative.The method can be used for single-span and continuous columns.Comparison of results with those of finite element and Timoshenko methods shows the high accuracy and efficiency of the proposed method for detecting buckling load. 展开更多
关键词 BUCKLING analysis Tapered column.Continuous COLUMNS Finite element method MODIFIED BUCKLING mode shapeS
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3D analysis of functionally graded material plates with complex shapes and various holes
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作者 曹志远 唐寿高 程国华 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第1期13-18,共6页
In this paper, the basic formulae for the semi-analytical graded FEM on FGM members are derived. Since FGM parameters vary along three space coordinates, the parameters can be integrated in mechanical equations. There... In this paper, the basic formulae for the semi-analytical graded FEM on FGM members are derived. Since FGM parameters vary along three space coordinates, the parameters can be integrated in mechanical equations. Therefore with the parameters of a given FGM plate, problems of FGM plate under various conditions can be solved. The approach uses 1D discretization to obtain 3D solutions, which is proven to be an effective numerical method for the mechanical analyses of FGM structures. Examples of FGM plates with complex shapes and various holes are presented. 展开更多
关键词 functionally graded material semi-analytical method complex shape 3D analysis HOLE
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ON THE STRAIN JUMP IN SHAPE MEMORY ALLOYS—A CRYSTALLOGRAPHIC-BASED MECHANICS ANALYSIS
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作者 张向阳 孙庆平 余寿文 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1999年第2期134-144,共11页
The strain jump across the Austenite-Martensite (A-M) interface in single crystal Cu-14wt%Al-4.12wt%Ni Shape Memory Alloys (SMAs) under uniaxial tension was studied in this paper. A crystallographic-based mechanics an... The strain jump across the Austenite-Martensite (A-M) interface in single crystal Cu-14wt%Al-4.12wt%Ni Shape Memory Alloys (SMAs) under uniaxial tension was studied in this paper. A crystallographic-based mechanics analysis on the formation and microstructure of the interface was performed. By using the high sensitive Moiré interference technique, the full-field deformation patterns during the transformation process were successfully recorded. The orientation of the habit plane (A-M interface) and the magnitude of the shape strain were determined precisely from the Moiré fringe patterns. The theoretical predictions on the habit plane normal and the shape strain were compared with the measured results and good agreements were obtained. 展开更多
关键词 strain jump crystallographic-based mechanics analysis shape memory alloys
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ANALYTIC SENSITIVITY ANALYSIS FORSHAPE OPTIMIZATION
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作者 张德欣 江允正 蔡謇 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第11期1325-1332,共8页
Analytic sensitivity analysis technology for the boundary element method (BEM) is presented, combined with a shape optimization system for structural analysis. A shape optimization was done for an elastomer under plan... Analytic sensitivity analysis technology for the boundary element method (BEM) is presented, combined with a shape optimization system for structural analysis. A shape optimization was done for an elastomer under planar stress, based on this new algorithm. A multi-object problem was studied as an illustrative example for the programmer, using weighted summing method. The result is feasible. 展开更多
关键词 BEM design sensitivity analysis shape optimization square plate with a hole
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Shape analysis and damped oscillatory solutions for a class of nonlinear wave equation with quintic term
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作者 李想 张卫国 +1 位作者 李正明 Ji-bin LI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第1期117-132,共16页
This paper aims at analyzing the shapes of the bounded traveling wave solu- tions for a class of nonlinear wave equation with a quintic term and obtaining its damped oscillatory solutions. The theory and method of pla... This paper aims at analyzing the shapes of the bounded traveling wave solu- tions for a class of nonlinear wave equation with a quintic term and obtaining its damped oscillatory solutions. The theory and method of planar dynamical systems are used to make a qualitative analysis to the planar dynamical system which the bounded traveling wave solutions of this equation correspond to. The shapes, existent number, and condi- tions are presented for all bounded traveling wave solutions. The bounded traveling wave solutions are obtained by the undetermined coefficients method according to their shapes, including exact expressions of bell and kink profile solitary wave solutions and approxi- mate expressions of damped oscillatory solutions. For the approximate damped oscillatory solution, using the homogenization principle, its error estimate is given by establishing the integral equation, which reflects the relation between the exact and approximate so- lutions. It can be seen that the error is infinitesimal decreasing in the exponential form. 展开更多
关键词 nonlinear wave equation bounded traveling wave solution shape analysis approximate damped oscillatory solution error estimate
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