REMARKS OF SOME PROBLEMS FOR RECTANGULAR THIN PLATES WITH FREE EDGES ON ELASTIC FOUNDATIONS  

作　　者：谈骏渝 

机构地区：[1]Chongqing University, Chongqing

出　　处：《Applied Mathematics and Mechanics(English Edition)》1991年第4期415-420,共6页应用数学和力学（英文版）

摘　　要：For the bending, stability and vibrations of rectangular thin plates with free edges on elastic foundations, in this paper we give a flexural function which exactly satisfies not only all the boundary conditions on free edges but also the conditions at free corner points. Applying energy variation principle, we give equations defining parameters in flexural function, stability equation, frequency equation, and general formulae of minimum critical force and minimum eigenfrequency as well.For the bending, stability and vibrations of rectangular thin plates with free edges on elastic foundations, in this paper we give a flexural function which exactly satisfies not only all the boundary conditions on free edges but also the conditions at free corner points. Applying energy variation principle, we give equations defining parameters in flexural function, stability equation, frequency equation, and general formulae of minimum critical force and minimum eigenfrequency as well.

关 键 词：FOUNDATIONS ELASTICITY Mathematical Models Vibrations 

分 类 号：O3，O1[理学—力学]