A consistent shell theory for finite deformations

A consistent shell theory for finite deformations
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有限变形的一致壳理论

DOI:
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发表时间:
1989
期刊:
影响因子:
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通讯作者:
W. Krätzig
W. Krätzig
中科院分区:
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文献类型:
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作者:
Y. Başar;W. Krätzig

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对于有限变形的壳体,将使用Kirchhoff-Love假设导出非线性理论。它的推导是由一个变分过程,确保一致的制定。特别注意的是,仅限于正确推导的动态边界条件,成功地通过引入一个旋转矢量连接的旋转运动的法线矢量的中间表面。本文关闭与运营商制定的理论,演示了非线性理论的特性,在一个非常一般的方式。
SummaryFor shells of finite deformations, a non-linear theory will be derived using the Kirchhoff-Love assumption. Its derivation is accomplished by a variational procedure ensuring a consistent formulation. Special attention is confined to the correct derivation of the dynamic boundary conditions which succeeds by introduction of a rotation vector connected with the rotational movement of the normal vector of the middle surface. The paper closes with the operator formulation of the theory which demonstrates the characteristic properties of the non-linear theories in a very general manner.