THE RE-EXAMINATION OF DETERMINING THE COEFFICIENT OF THE AMPLITUDE EVOLUTION EQUATION IN THE NONLINEAR THEORY OF THE HYDRODYNAMIC STABILITY

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (8): 745-748.

THE RE-EXAMINATION OF DETERMINING THE COEFFICIENT OF THE AMPLITUDE EVOLUTION EQUATION IN THE NONLINEAR THEORY OF THE HYDRODYNAMIC STABILITY

罗纪生

Department of Mechanics, Tianjin University, Tianjin

收稿日期:1993-03-24 出版日期:1994-08-18 发布日期:1994-08-18

THE RE-EXAMINATION OF DETERMINING THE COEFFICIENT OF THE AMPLITUDE EVOLUTION EQUATION IN THE NONLINEAR THEORY OF THE HYDRODYNAMIC STABILITY

Luo Ji-sheng

Department of Mechanics, Tianjin University, Tianjin

Received:1993-03-24 Online:1994-08-18 Published:1994-08-18

摘要/Abstract

摘要： One of the key problems in the nonlinear theory qf the hydrodynamic stability is to determine the law of the evolution of the disturbance velocity amplitude. The methods, which have been obtained, can only be used for quasi-neutral flow and have some artificial factors. In this paper, a method is proposed for this problem.

关键词: structural dynamics, sensitivity analysis, finite element method, eigenvalues, eigenvectors, disturbance velocity amplitude, Landau coefficient, solvability condition

Abstract: One of the key problems in the nonlinear theory qf the hydrodynamic stability is to determine the law of the evolution of the disturbance velocity amplitude. The methods, which have been obtained, can only be used for quasi-neutral flow and have some artificial factors. In this paper, a method is proposed for this problem.

Key words: structural dynamics, sensitivity analysis, finite element method, eigenvalues, eigenvectors, disturbance velocity amplitude, Landau coefficient, solvability condition

罗纪生. THE RE-EXAMINATION OF DETERMINING THE COEFFICIENT OF THE AMPLITUDE EVOLUTION EQUATION IN THE NONLINEAR THEORY OF THE HYDRODYNAMIC STABILITY[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(8): 745-748.

Luo Ji-sheng. THE RE-EXAMINATION OF DETERMINING THE COEFFICIENT OF THE AMPLITUDE EVOLUTION EQUATION IN THE NONLINEAR THEORY OF THE HYDRODYNAMIC STABILITY[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(8): 745-748.

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THE RE-EXAMINATION OF DETERMINING THE COEFFICIENT OF THE AMPLITUDE EVOLUTION EQUATION IN THE NONLINEAR THEORY OF THE HYDRODYNAMIC STABILITY

THE RE-EXAMINATION OF DETERMINING THE COEFFICIENT OF THE AMPLITUDE EVOLUTION EQUATION IN THE NONLINEAR THEORY OF THE HYDRODYNAMIC STABILITY

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