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.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
1990年第4期19-24,共6页
Journal of Lanzhou University(Natural Sciences)
关键词
梁
等强度
超静定
非线性
结构优化
structural optimization
nonlinear materials
analytical method
equi-strength
