GENERAL EQUATION OF MOTION FOR THICK, ELASTIC SHELLS WITH ARBITRARY SHAPES.

被引:0
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作者
Weng Zhiyuan [1 ]
Wang Yuangong [1 ]
Zeng Deshun [1 ]
机构
[1] Tongji Univ, China, Tongji Univ, China
关键词
ROTATORY INERTIA - TRANSVERSE EXTRUSION - TRANSVERSE SHEAR DEFORMATION - VARIATIONAL PRINCIPLE;
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摘要
The general equations of motion for deflections and rotations of thick, elastic shells with arbitrary shapes are derived by using the variational principle. Besides the usual membrane stresses and stress couples, the equation also contains additional terms reflecting the influences of transverse shear deformation, rotatory inertia and transverse extrusion. It can be shown that the equation for thick shells deduced by V. Z. Vlasov, the equation for thick cylindrical shells by I. Mirsky and G. Herrmann and the equation for thick plates by R. D. Mindlin are special cases of the general equation presented herein.
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页码:1 / 18
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