Nonlinear Deformation Theory of Thin Shell
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摘要: 对薄壳的非线性变形,给出了应变与位移之间的精确关系.经过合理的简化,给出了壳的挠度与厚度同级的大变形基本公式.当薄壳为无限长柱形且作柱形变形时,精确地求得了壳的挠度与长度同级的大变形基本公式.Abstract: The exact relation between strain and displacement is given for nonlinear deformation of thin shell.The fundamental formula of large deformation when the deflection is on the same class with the thickness of the shell is derived after simplified rationally.The fundamental formula of large deformation when the deflection is on the same class with the length of the shell is derived exactly for cylinder shell deformed cylindrical shaped.
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Key words:
- thin shell /
- no nlinear deformation /
- large deflection
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[1] Novo zhilov V V.Foundation of the Nonlinear Theory of Elasticity[M].Reche ster N Y:Grayloch Press,1953. [2] Wa shizu Kyuichiro.Variational Methods in Elasticity and Plasticity[M].Second Edition.Oxford:Pergamon Press,1975. [3] 黄炎.直杆平面弯曲的大变形问题[J].常州工业技术学院学报,1998,11(2):21~26.
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