摘要
本文证明了Vlasov所提出的以应变一应力函数F(ξ,η)所表达的解,为圆柱壳的定解偏微分方程组的通解。
It is proved mathematically in this paper that the strain-stress function F(ξ(?)) on the cylindrical shell theory suggested by Vlasov[5] will give out the general solution of the simultaneous partial differential equations of cylindrical shell problem. That is to say, there is no any solution of the simultaneous partial differential equations can be omitted due to Vlasov's suggestion. The conclusion suggested in this paper is helpful to the well-known Vlasov's method.
出处
《应用数学和力学》
CSCD
北大核心
1996年第12期1045-1050,共6页
Applied Mathematics and Mechanics
关键词
圆柱壳
定解方程
通解
偏微分方程
cylindriral shell, general solution, partial differential equation