应用混合变量最小势能原理求解有一个悬空角点弹性矩形薄板的稳定  

Application of principle of minimum potential energy with mixed variables in stability of elastic thin rectangular plates with a free end

作　　者：陈英杰[1] 刘春辉[1] 李威[1] 付宝连[1] 

机构地区：[1]燕山大学建筑工程与力学学院,河北秦皇岛066004

出　　处：《世界地震工程》2005年第2期90-98,共9页World Earthquake Engineering

摘　　要：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,求解了有一个悬空角点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有一个悬空角点矩形板稳定问题的求解,从而验证了它用于薄板稳定问题的一般性和通用性。In this paper, the principle of minimum potential energy with mixed variables is extended to solve the stability of elastic thin rectangular plates with a free end, and its characteristic equation and results are given, which can be used for reference of engineering application. Especially, a efficient, simple and convenient method for the stability analysis and design of compression structures is given in the paper. By calculation, it is proved that the solution is well suited to some rectangular plates with a free end. So, the principle of minimum potential energy with mixed variables is proved for the plates.

关 键 词：弹性矩形薄板 最小势能原理 混合变量 求解 角点 悬空 稳定问题 应用 计算结果 特征方程 临界载荷 设计计算 计算方法 稳定设计 受压构件 现代建筑 计算表 矩形板 通用性 一般性 工程 

分 类 号：TU311.4[建筑科学—结构工程] O343[理学—固体力学]