THE SCHRDINGER EQUATION OF THIN SHELL THEORIES |
| |
引用本文: | 沈惠川.THE SCHRDINGER EQUATION OF THIN SHELL THEORIES[J].应用数学和力学(英文版),1985(10). |
| |
作者姓名: | 沈惠川 |
| |
作者单位: | University of |
| |
摘 要: | This work is the continuation of the discussions of50]and51].In this paper:(A)The Love-Kirchhoff equation of small deflection problem for elastic thin shellwith constant curvature are classified as the same several solutions of Schr(?)dingerequation,and we show clearly that its form in axisymmetric problem;(B)For example for the small deflection problem,we extract the general solution ofthe vibration problem of thin spherical shell with equal thickness by the force in centralsurface and axisymmetric external field,that this is distinct from ref.50]in variable.Today the variable is a space-place,and is not time;(C)The von Kármán-Vlasov equation of large deflection problem for shallow shellare classified as the solutions of AKNS equations and in it the one-dimensional problem isclassified as the solution of simple Schr(?)dinger equation for eigenvalues problem,and wetransform the large deflection of shallow shell from nonlinear problem into soluble linearproblem.
|
本文献已被 CNKI 等数据库收录! |
|