非线性超静定等强度梁  

Nonlinear Static Indeterminate Equi-strength Beams

作　　者：刘平[1] 叶开沅[2] 

机构地区：[1]扬州工学院 [2]兰州大学

出　　处：《兰州大学学报（自然科学版）》1990年第4期19-24,共6页Journal of Lanzhou University(Natural Sciences)

摘　　要：本文利用Crotti-Engesseer定理,讨论了在任意横向荷载作用下,具有一般非线性本构关系的超静定梁形状优化设计问题。在等强度准则下,获得了优化厚度分布的解析表达式,其解的形式是闭合的,在线性本构关系的情况下,与文[1]的结果完全一致.By the use of Crotti-Engesser's theorem,the optimum section design of a static indeterminate beam under arbitrary tranverse load with generalnonlinear constitutive relation is discussed in this paper.Acording to theequi-strenth criterion,the analytical solution of the optimum thickness isobtained.Several examples are Calculated and they are the same with theresults of ref(1)when the constitutive relations are linear.

关 键 词：梁 等强度 超静定 非线性 结构优化 

分 类 号：TU323.301[建筑科学—结构工程]