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究竟是静定结构轻还是静不定结构轻,一直是结构设计人员所关心的问题。本文提出和证明了静定、静不定结构重量特性的三个定理,阐明了这个问题的本质。限于篇幅,本文只附一个算例——10杆平面桁架结构优化问题,这是国际上一个难度很高的算例,一般需迭代10次以上,且得到的解仍不够好,本文只迭代2次,即可得很好解。对于其他适用本定理解的算例,通常都只需迭代1～2次即可得到很好解。
Whether the static structure of light or static structure of light, structural designers have always been the concern. This paper presents and proves the three theorems of the weight properties of statically deterministic and indefinite structures, and clarifies the essence of the problem. Due to space limitations, this paper only attached an example - 10 plane truss structure optimization problem, which is a very difficult international case, the general need to iterate more than 10 times, and the solution is not good enough, this article only iteration 2 Times, you can get a good solution. For other examples that apply this solution, we usually get 1 to 2 iterations to get a good solution.