GENERAL MATHEMATICAL THEORY OF LARGE DEFLECTIONS OF THIN PLATES WITH SOME HOLES

作     者：Zhu Zhengyou Cheng Changjun(Lanzhou University,Lanzhou) 

作者机构：Lanzhou University Lanzhou 

出 版 物：《Acta Mechanica Sinica》 (力学学报(英文版))

年 卷 期：1986年第2卷第3期

页      面：278-288+265页

主　　题：large defiection orthogenally anisotropic plates with holes multiply connected region eigenvalue and eigenfunction bifurcation theory 

摘      要：The theoretical analysis and the numerical computations for the problem of a thin platewith large deflection and some holes become much more difficult due to the multi-valued propertiesof the stress function F and the single-valued demands on the *** necessary andsufficient conditions which can assure F to be single-valued are obtained in this *** the sametime,we prove that the single-valued demands on the displacements are equivalent to 3m functionalconstraint equations DC(w,F)=0,where m is the number of *** these conclusions,thesingle-valued governing equations of the problem of plates with large deflection and some holes *** is a system of fourth order partial differential equations with 3m unknown constants andconstrained equations.A numerical method for solving this problem is *** problem ofthe critical load is considered and an iterative scheme for computing the buckled states is given whena critical load λ is ‘single’.