Abstract

In this work boundary value problem for a circular plate under the action of two-sided gas pressure is considered. The problem relations use a refined expression for the transverse distributed force. The force consists of the average overpressure and the difference of pressures acting on both surfaces of the plate as well as in the curvature that arises during bending. The effect of the boundary conditions on the deflection values is shown, and the compression force of the middle surface resulting from the thickness reduction of the plate has been also taken into account. Linear and nonlinear axisymmetric bending has been investigated.

中文翻译：

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关于平均压力对圆板非线性边界值问题的影响

摘要

在这项工作中，考虑了在两侧气压作用下圆板的边值问题。问题关系使用了横向分布力的精确表达式。该力包括平均超压和作用在板的两个表面上的压力差以及弯曲过程中产生的曲率。显示了边界条件对挠度值的影响，并且还考虑了由于板的厚度减少而产生的中间表面的压缩力。已经研究了线性和非线性轴对称弯曲。