THE RELATION OF VON KÁRMÁN EQUATION FOR ELASTIC LARGE DEFLECTION PROBLEM AND SCHRDINGER EQUATION FOR QUANTUM EIGENALUES PROBLEM

Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (8): 761-775.

THE RELATION OF VON KÁRMÁN EQUATION FOR ELASTIC LARGE DEFLECTION PROBLEM AND SCHRDINGER EQUATION FOR QUANTUM EIGENALUES PROBLEM

沈惠川

University of Science and Technology of China, Hefei, Anhui

收稿日期:1984-05-01 出版日期:1985-08-18 发布日期:1985-08-18

THE RELATION OF VON KÁRMÁN EQUATION FOR ELASTIC LARGE DEFLECTION PROBLEM AND SCHRDINGER EQUATION FOR QUANTUM EIGENALUES PROBLEM

Shen Hui-chuan

University of Science and Technology of China, Hefei, Anhui

Received:1984-05-01 Online:1985-08-18 Published:1985-08-18

摘要/Abstract

摘要： In this paper the solutions of von Karman for elastic large deflection problem are classified as the several solutions of Schrodinger equation for quantum eigenvalues problem, and we present the transform for elastic large deflection problem from non-linear equation into linear equation. Thus, we create favourable conditions of the adoption of converse scattering methnd and Backlund transformation. We also discuss the large deflection problem of long and narrow plate.We can study the non-linear transition of elastic thin plate by furnished method from this paper.

关键词: complex mapping, switched processes generalized M sets, fractal, evolution

Abstract: In this paper the solutions of von Karman for elastic large deflection problem are classified as the several solutions of Schrodinger equation for quantum eigenvalues problem, and we present the transform for elastic large deflection problem from non-linear equation into linear equation. Thus, we create favourable conditions of the adoption of converse scattering methnd and Backlund transformation. We also discuss the large deflection problem of long and narrow plate.We can study the non-linear transition of elastic thin plate by furnished method from this paper.

Key words: complex mapping, switched processes generalized M sets, fractal, evolution

沈惠川. THE RELATION OF VON KÁRMÁN EQUATION FOR ELASTIC LARGE DEFLECTION PROBLEM AND SCHRDINGER EQUATION FOR QUANTUM EIGENALUES PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(8): 761-775.

Shen Hui-chuan . THE RELATION OF VON KÁRMÁN EQUATION FOR ELASTIC LARGE DEFLECTION PROBLEM AND SCHRDINGER EQUATION FOR QUANTUM EIGENALUES PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(8): 761-775.

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THE RELATION OF VON KÁRMÁN EQUATION FOR ELASTIC LARGE DEFLECTION PROBLEM AND SCHRDINGER EQUATION FOR QUANTUM EIGENALUES PROBLEM

THE RELATION OF VON KÁRMÁN EQUATION FOR ELASTIC LARGE DEFLECTION PROBLEM AND SCHRDINGER EQUATION FOR QUANTUM EIGENALUES PROBLEM

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