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Elastic Buckling and Critical Load of an Pre- stressing Arch
引用本文:ZHANG Pei-yuan,SHENG Tian-wen,ZHANG Xiao-min. Elastic Buckling and Critical Load of an Pre- stressing Arch[J]. 保鲜与加工, 2004, 0(3): 16
作者姓名:ZHANG Pei-yuan  SHENG Tian-wen  ZHANG Xiao-min
摘    要:According to the field theory of additional deformation on pre - stressed configuration , in the paper , the ordinary expression of the governing equation and variational equation of elastic buckling are brought forward . Under the theory system, through lowering dimensions, the governing equation and variational equation for the critical condition solution of elastic buckling of a plane arch are deduced, and the eigenvalues problem of the linear homogeneous differential equations corresponding to the equations are concluded While Abandoning the plane assumption and considering shearing deformation, the linear finite element method arithmetic of bending bar's cross section containing six degree of freedom is given. The process of derivation and calculational results show that, under this system info, the finite element equations of bending bar deduced are accurate and easy to be used to numeric calculations, and the conclusion achieved is more practical.

关 键 词:pre-stressed configuration  field theory of additional deformation  elastic buckling  arch  shearing deformation

Elastic Buckling and Critical Load of an Pre- stressing Arch
ZHANG Pei-yuan,SHENG Tian-wen,ZHANG Xiao-min. Elastic Buckling and Critical Load of an Pre- stressing Arch[J]. Storage & Process, 2004, 0(3): 16
Authors:ZHANG Pei-yuan  SHENG Tian-wen  ZHANG Xiao-min
Abstract:According to the field theory of additional deformation on pre - stressed configuration , in the paper , the ordinary expression of the governing equation and variational equation of elastic buckling are brought forward . Under the theory system, through lowering dimensions, the governing equation and variational equation for the critical condition solution of elastic buckling of a plane arch are deduced, and the eigenvalues problem of the linear homogeneous differential equations corresponding to the equations are concluded While Abandoning the plane assumption and considering shearing deformation, the linear finite element method arithmetic of bending bar's cross section containing six degree of freedom is given. The process of derivation and calculational results show that, under this system info, the finite element equations of bending bar deduced are accurate and easy to be used to numeric calculations, and the conclusion achieved is more practical.
Keywords:pre-stressed configuration  field theory of additional deformation  elastic buckling  arch  shearing deformation
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