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HOMOGENIZATION-BASED METHOD FOR bending analysis OF PERFORATED PLATE

Acta Mechanica Solida Sinica 1998年第2期11卷 172-179页

作者： Liu Shutian Cheng Gengdong Gu Yuanxian Dalian Univ Technol State Key Lab Struct Anal Ind Equipment Dalian 116024 Peoples R China Beijing Inst Radio Measurement Beijing 100854 Peoples R China

Owing to the existence of distributed holes, it is difficult tosolve the bending problem of perforated plates by the conventionalfinite element method. A homogenization-based method for this problemis presented in this paper. As an example, the bending analysis of acircular perforated plate with distributed step-wise cylindricalholes is made. The deflection and the fundamental frequen- cyobtained by present method are in good agreement with experimentaldata, this implies that the method is effective.

关键词： perforated plate bending analysis homogenization-based method

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bending analysis of a Filament-Wound Composite Tube

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Modern Mechanical Engineering 2018年第1期8卷 66-77页

作者： Gyula Szabó Károly Váradi Dávid Felhos Department of Machine and Product Design Budapest University of Technology and EconomicsBudapestHungary

The aim of this paper is to present finite element model of a filament-wound composite tube subjected to three-point bending and bending in accordance with standard EN?15807:2011?(railway applications-pneumatic half couplings) along with its experimental verification. In the finite element model, composite reinforcement plies have been characterized by linear orthotropic material model, while rubber liners have been described by a two-parameter MooneyRivlin model. Force-displacement curves of three-point bending show fairly good agreement between simulation results and experimental data. Reaction forces of FE simulation and experiment of standard bending test are in good agreement.

关键词： Filament-Wound Composite Tube Three-Point bending Test bending analysis Finite Element Model

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bending and free vibrational analysis of bi-directional functionally graded beams with circular cross-section

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Applied Mathematics and Mechanics(English Edition) 2020年第10期41卷 1497-1516页

作者： Yong HUANG School of Mathematics and Big Data Foshan UniversityFoshan 528000Guangdong ProvinceChina

The bending and free vibrational behaviors of functionally graded(FG)cylindrical beams with radially and axially varying material inhomogeneities are *** on a high-order cylindrical beam model,where the shear deformation and rotary inertia are both considered,the two coupled governing differential motion equations for the deflection and rotation are *** analytical bending solutions for various boundary conditions are *** the vibrational analysis of FG cylindrical beams,the two governing equations are firstly changed to a single equation by means of an auxiliary function,and then the vibration mode is expanded into shifted Chebyshev *** examples are given to investigate the effects of the material gradient indices on the deflections,the stress distributions,and the eigenfrequencies of the cylindrical beams,*** comparing the obtained numerical results with those obtained by the three-dimensional(3D)elasticity theory and the Timoshenko beam theory,the effectiveness of the present approach is verified.

关键词： higher-order beam theory circular cross-section bi-directional functionally graded(FG)beam bending analysis free vibration

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Finite element analysis of functionally graded sandwich plates with porosity via a new hyperbolic shear deformation theory

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Defence Technology（防务技术） 2022年第3期18卷 490-508页

作者： Pham Van Vinh Le Quang Huy Department of Solid Mechanics Le Quy Don Technical University236 Hoang Quoc VietHanoiViet Nam Institute of Techniques for Special Engineering Le Quy Don Technical University236 Hoang Quoc VietHanoiViet Nam

This study focusses on establishing the finite element model based on a new hyperbolic sheareformation theory to investigate the static bending,free vibration,and buckling of the functionally graded sandwich plates with *** novel sandwich plate consists of one homogenous ceramic core and two different functionally graded face sheets which can be widely applied in many fields of engineering and defence *** discrete governing equations of motion are carried out via Hamilton’s principle and finite element *** computation program is coded in MATLAB software and used to study the mechanical behavior of the functionally graded sandwich plate with *** present finite element algorithm can be employed to study the plates with arbitrary shape and boundary *** obtained results are compared with available results in the literature to confirm the reliability of the present ***,a comprehensive investigation of the effects of several parameters on the bending,free vibration,and buckling response of functionally graded sandwich plates is *** numerical results shows that the distribution of porosity plays significant role on the mechanical behavior of the functionally graded sandwich plates。

关键词： Functionally graded sandwich plates Porous plates Hyperbolic shear deformation theory bending analysis Free vibration analysis Buckling analysis

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B-Spline Wavelet on Interval Finite Element Method for Static and Vibration analysis of Stiffened Flexible Thin Plate

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Computers, Materials & Continua 2016年第4期52卷 53-71页

作者： Xing Wei Wen Chen Bin Chen Bin Chen2 Bin Chen3 Bin Chen4 State Key Laboratory for Manufacturing System Engineering School of Mechanical EngineeringXi’an Jiaotong UniversityXi’an 710049PR China Department of Mechanical and Aerospace Engineering Case Western Reserve UniversityCleveland Ohio 44106USA School of Instrument Science and Engineering Southeast UniversityNanjing 210096PR China

A new wavelet finite element method(WFEM)is constructed in this paper and two elements for bending and free vibration problems of a stiffened plate are *** means of generalized potential energy function and virtual work principle,the formulations of the bending and free vibration problems of the stiffened plate are derived ***,the scaling functions of the B-spline wavelet on the interval(BSWI)are introduced to discrete the solving field variables instead of conventional polynomial ***,the corresponding two problems can be resolved following the traditional finite element *** are some advantages of the constructed elements in structural *** to the excellent features of the wavelet,such as multi-scale and localization characteristics,and the excellent numerical approximation property of the BSWI,the precise and efficient analysis can be ***,transformation matrix is used to translate the meaningless wavelet coefficients into physical space,thus the resolving process is *** order to verify the superiority of the constructed method in stiffened plate analysis,several numerical examples are given in the end.

关键词： B-spline wavelet on the interval Wavelet finite element method Stiffened plate bending analysis Vibration analysis

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