THE SOLUTION OF DEFLECTION OF ELASTIC THIN PLATE BY THE JOINT ACTION OF DYNAMICAL LATERAL PRESSURE, FORCE IN CENTRAL SURFACE AND EXTERNAL FIELD ON THE ELASTIC BASE

Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (6): 1791-1801.

THE SOLUTION OF DEFLECTION OF ELASTIC THIN PLATE BY THE JOINT ACTION OF DYNAMICAL LATERAL PRESSURE, FORCE IN CENTRAL SURFACE AND EXTERNAL FIELD ON THE ELASTIC BASE

沈惠川

Department of Earth and Space Sciences, University of Science and Technology of China, Hefei

收稿日期:1984-11-20 出版日期:1984-11-18 发布日期:1984-11-18

THE SOLUTION OF DEFLECTION OF ELASTIC THIN PLATE BY THE JOINT ACTION OF DYNAMICAL LATERAL PRESSURE, FORCE IN CENTRAL SURFACE AND EXTERNAL FIELD ON THE ELASTIC BASE

Shen Hui-chuan

Department of Earth and Space Sciences, University of Science and Technology of China, Hefei

Received:1984-11-20 Online:1984-11-18 Published:1984-11-18

摘要/Abstract

摘要： In this paper the Euler equation of the deflection of elastic thin plate is reduced to the equation with Schröd-inger form by the principle of quantum electro-dynamics. Then we can obtain the general solution of deflection of elastic thin bending plate by the joint action of dynamical lateral pressure, force in central surface and external field on the elastic base.

关键词: Green’s function, T-stress, complex variable function, semi-infinite crack, fracture mechanics

Abstract: In this paper the Euler equation of the deflection of elastic thin plate is reduced to the equation with Schröd-inger form by the principle of quantum electro-dynamics. Then we can obtain the general solution of deflection of elastic thin bending plate by the joint action of dynamical lateral pressure, force in central surface and external field on the elastic base.

Key words: Green’s function, T-stress, complex variable function, semi-infinite crack, fracture mechanics

沈惠川. THE SOLUTION OF DEFLECTION OF ELASTIC THIN PLATE BY THE JOINT ACTION OF DYNAMICAL LATERAL PRESSURE, FORCE IN CENTRAL SURFACE AND EXTERNAL FIELD ON THE ELASTIC BASE[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(6): 1791-1801.

Shen Hui-chuan. THE SOLUTION OF DEFLECTION OF ELASTIC THIN PLATE BY THE JOINT ACTION OF DYNAMICAL LATERAL PRESSURE, FORCE IN CENTRAL SURFACE AND EXTERNAL FIELD ON THE ELASTIC BASE[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(6): 1791-1801.

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THE SOLUTION OF DEFLECTION OF ELASTIC THIN PLATE BY THE JOINT ACTION OF DYNAMICAL LATERAL PRESSURE, FORCE IN CENTRAL SURFACE AND EXTERNAL FIELD ON THE ELASTIC BASE

THE SOLUTION OF DEFLECTION OF ELASTIC THIN PLATE BY THE JOINT ACTION OF DYNAMICAL LATERAL PRESSURE, FORCE IN CENTRAL SURFACE AND EXTERNAL FIELD ON THE ELASTIC BASE

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