拉压不同模量矩形板的双向弯曲问题

doi:10.3969/j.issn.1007-2861.2015.02.003

Journal of Shanghai University（Natural Science Edition） ›› 2017, Vol. 23 ›› Issue (1): 128-137.doi: 10.3969/j.issn.1007-2861.2015.02.003

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Biaxial bending of rectangular plates with different modulus

ZHANG Liangfei, YAO Wenjuan

Department of Civil Engineering, Shanghai University, Shanghai 200444, China

Received:2015-01-03 Online:2017-02-28 Published:2017-02-28

Abstract

Abstract:

An eutral axis can be considered from two bending directions to solve the biaxial bending problem of rectangular plates with different modulus. Based on the different modulus theories, an equation of the neutral axis location is derived using the static equilibrium equation of rectangular plates with different modulus. The deflection curve equation is solved with the Kantorovich method. Its solution agrees well with the finite element solution. The result shows that the classical shell theory is not applicable in calculating deflection of a rectangular plate when tensile and compressive modulus are quite different. The proposed method provides an approach to analyze the bending problem of other structure forms of plate with different modulus, and theoretical reference for engineering applications.

Key words: biaxial bending, different modulus , Kantorovich variational method

ZHANG Liangfei, YAO Wenjuan. Biaxial bending of rectangular plates with different modulus[J]. Journal of Shanghai University（Natural Science Edition）, 2017, 23(1): 128-137.

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Biaxial bending of rectangular plates with different modulus

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