应用混合变量最小势能原理求解悬臂弹性矩形板的稳定

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振动与冲击 ›› 2010, Vol. 29 ›› Issue (9) : 212-217.

论文

应用混合变量最小势能原理求解悬臂弹性矩形板的稳定

陈英杰;付宝连;孟德亮

作者信息 +

THE APPLICATION OF PRINCIPLE OF MINIMUM POTENTIAL ENERGY WITH MIXED VARIABLES IN STABILITY OF ELASTIC THIN CANTILEVER RECTANGULAR PLATES

Chen yingjie;Fu baolian;Meng De-liang

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文章历史 +

摘要

本文将混合变量的最小势能原理推广到求解弹性矩形薄板的稳定问题中，求解了悬臂弹性矩形薄板的稳定问题，并给出了相应问题确定临界载荷的特征方程及计算结果，为工程中薄板的设计计算提供了有效的参考，尤其是对现代建筑和桥梁中的受压构件的稳定设计和计算提供了一个简捷有效的计算方法。通过文中计算表明，混合变量的最小势能原理适用于矩形板稳定问题的求解.

Abstract

In this paper, the principle of minimum potential energy with mixed variables is extend to solve the stability of elastic thin cantilever rectangular plates and the characteristic equation and result is given by it. The result can be a reference for engineering. Especially，the paper give a efficacious, simple and convenient method to design for stability of pressure structures. By calculation, it is proved that the solution is well suited to the cantilever rectangular plates stability.

导出引用

陈英杰;付宝连;孟德亮. 应用混合变量最小势能原理求解悬臂弹性矩形板的稳定[J]. 振动与冲击, 2010, 29(9): 212-217

Chen yingjie;Fu baolian;Meng De-liang . THE APPLICATION OF PRINCIPLE OF MINIMUM POTENTIAL ENERGY WITH MIXED VARIABLES IN STABILITY OF ELASTIC THIN CANTILEVER RECTANGULAR PLATES [J]. Journal of Vibration and Shock, 2010, 29(9): 212-217