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Alternative TitleStudy on derivation and optimization algorithm about thin plate bending large deformation higher-order nonlinear partial differential equations
侯祥林; 郑夕健; 张良; 刘铁林; Hou, XL
Source Publication物理学报=Acta Physica Sinica
Other AbstractFor a thin plate bending large deformation problem,variational principle is applied,and higher-order nonlinear partial differential equations about thin plate bending large deformation is established.Based on difference method and dynamic design variable optimization method,making unknown deflection of discrete coordinate points as design variables,differential equations sets of the discrete coordinates points as building objective function,a dynamic design variable optimization algorithm for computing thin plate bending deflection is proposed.Universal computing program is designed.Practical example about rectangular thin plate with fixed boundary under uniform load is analyzed.Comparing the program computing result with finite element solution.Effectiveness and feasibility of the method are verified.This method can be used to solve engineering problem.
KeywordHigher-order Nonlinear Partial Differential Equations Thin Plate-bending Large Deformation Dynamic Design Variables Optimization Method Program Design
Subject Area结构力学
Indexed BySCI ; CSCD
WOS IDWOS:000311836700002
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
Funding Organization国家自然科学基金(批准号:10972144);辽宁省自然科学基金(批准号:201102181);辽宁省教育厅科学研究项目(批准号:L2010445)资助的课题
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Cited Times:2[CSCD]   [CSCD Record]
Document Type期刊论文
Corresponding AuthorHou, XL
Recommended Citation
GB/T 7714
侯祥林,郑夕健,张良,等. 薄板弯曲大变形高阶非线性偏微分方程推导与优化算法研究[J]. 物理学报=Acta Physica Sinica,2012,61(18):180201.
APA 侯祥林,郑夕健,张良,刘铁林,&Hou, XL.(2012).薄板弯曲大变形高阶非线性偏微分方程推导与优化算法研究.物理学报=Acta Physica Sinica,61(18),180201.
MLA 侯祥林,et al."薄板弯曲大变形高阶非线性偏微分方程推导与优化算法研究".物理学报=Acta Physica Sinica 61.18(2012):180201.
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