Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (3): 293-295.

• 论文 • 上一篇    

DISCUSSION OF CRITICAL LOAD IN NONLINEAR STABILITY ANALYSIS AND SUGGESTION OF VARIATIONAL PRINCIPLE OF SOLVING CRITICAL LOADS

李龙元   

  1. Shanghai University of Technology, Shanghai Institute of Appl, Math, and Mech., Shanghai
  • 收稿日期:1988-05-15 出版日期:1990-03-18 发布日期:1990-03-18

DISCUSSION OF CRITICAL LOAD IN NONLINEAR STABILITY ANALYSIS AND SUGGESTION OF VARIATIONAL PRINCIPLE OF SOLVING CRITICAL LOADS

Li Long-yuan   

  1. Shanghai University of Technology, Shanghai Institute of Appl, Math, and Mech., Shanghai
  • Received:1988-05-15 Online:1990-03-18 Published:1990-03-18

摘要: In this paper, a set of variational formulas of solving nonlinear instability critical loads are established from the viewpoint of variational principle. The paper shows that it is very convenient to solve nonlinear instability critical load by using the variational formulas suggested in this paper.

关键词: slip flow, stagnation point, homotopy analysis method, boundary layer, scaling group transformation

Abstract: In this paper, a set of variational formulas of solving nonlinear instability critical loads are established from the viewpoint of variational principle. The paper shows that it is very convenient to solve nonlinear instability critical load by using the variational formulas suggested in this paper.

Key words: slip flow, stagnation point, homotopy analysis method, boundary layer, scaling group transformation

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