关于圆柱壳定解方程的通解问题  

On the General Solution of Cylindrical Shell Equations

作　　者：薛毅 薛大为[2] 

机构地区：[1]南非约翰内斯堡大学 [2]澳门大学F5T

出　　处：《应用数学和力学》1996年第12期1045-1050,共6页Applied Mathematics and Mechanics

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.

关 键 词：圆柱壳 定解方程 通解 偏微分方程 

分 类 号：O342[理学—固体力学]