摘要
作为Plastica理论的应用,本文分析了理想弹塑性矩形截面梁在自由端承受倾斜集中力作用时塑性区扩展阶段的大挠度变形.着重讨论了集中力的倾角对弯曲形状、载荷—挠度关系及塑性区长度的影响.结果用解析解和数值解同时给出.
Based on the Plastica theory (see ref. [12]), the large deflection of an elastic-perfectly plastic cantilever subjected to an inclined concentrated force at its tip, before the unloading in the plastic region occurs, is analyzed in this paper. The emphasis of the analysis is put on the effects of the angle of inclination of the concentrated force upon the deformed shape, the load-deflection relationship and the length of the plastic region. Both analytical and computed results are given.
出处
《应用数学和力学》
EI
CSCD
北大核心
1991年第6期515-522,共8页
Applied Mathematics and Mechanics
关键词
弹塑性
悬臂梁
挠度
倾斜集中力
large deflection, inclined concentrated force, elastic-plastic cantilever, Elastica, Plastica