圆薄膜在集中力作用下大变形基本方程的精确解  

Exact Solution of Large Deformation Basic Equations of Circular Membrane Under Central Force

作　　者：郝际平[1] 颜心力[2] 

机构地区：[1]西安建筑科技大学土木学院,西安710055 [2]西安建筑科技大学理学院,西安710055

出　　处：《应用数学和力学》2006年第10期1169-1172,共4页Applied Mathematics and Mechanics

摘　　要：利用一种新型的简易方法,获得圆薄膜在中心集中力作用下的基本方程与边界条件下非线性边值问题的精确解;并利用现代不动点定理讨论了该问题解的存在唯一性.虽然求解的是圆薄膜在中心集中力作用下的非线性问题,但此原理亦可应用在其它类似的非线性问题.Exact solution of the nonlinear boundary value problem for the basic equation and boundary condition of circular membrane under central force were obtained by using new simple methods. The existence and uniqueness of the solution were discussed by making use of modem immovable point theorems. Although specific problem is treated, the basic principles of the methods can be applied to a considerable variety of nonlinear problems.

关 键 词：圆薄膜 集中力 大变形 精确解 不动点 

分 类 号：O344.3[理学—固体力学]