ON THE GENERALIZED PLK METHOD AND ITS APPLICATIONS  

作　　者：Dai Shiqiang (Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University of Technology) 

出　　处：《Acta Mechanica Sinica》1990年第2期111-118,共8页力学学报（英文版）

基　　金：The project is supported by the National Natural Science Foundation of China

摘　　要：In this paper,we propose a generalized form of the PLK method.To solve weakly nonlinear prob- lems,in straining the related coordinates ,we choose a kind of transformations including nonlinear functionals of de- pendent variables to linearize asymptotically the original problems,and give more perfect asymptotic solutions with the first-term approximation and the derived transformations.The analysis for some practical examples shows that the generalized method is straightforward and effective and might be applied to more complicated nonlinear problems.In this paper,we propose a generalized form of the PLK method.To solve weakly nonlinear prob- lems,in straining the related coordinates ,we choose a kind of transformations including nonlinear functionals of de- pendent variables to linearize asymptotically the original problems,and give more perfect asymptotic solutions with the first-term approximation and the derived transformations.The analysis for some practical examples shows that the generalized method is straightforward and effective and might be applied to more complicated nonlinear problems.

关 键 词：straining of coordinates asymptotic solution asymptotic linearization 

分 类 号：O3[理学—力学]