THE FINITE ELEMENT ANALYSIS OF THE FLEXIBLE BEAMS AND PLATES

摘要/Abstract

摘要： This paper studies large deflection problem of beam and plates by the finite element method. The elongation of the middle surface caused by its rotation is considered in strain-displacement relations. The higher order terms will be reserved when strain energy is calculated. The elastic stiffness matrix, linear and nonlinear initial stress stiffness metrices are derived by the principle of minimum potential energy. Examples show that precision will be properly manifested although the total storage amount and the calculating lime are not increased. The iterative method with co-moving coordinate must be adopted to avoid parasitic rigid body motion.

关键词: spacecraft attitude dynamics, chaos, Melnikov's method, numerical simulation

Abstract: This paper studies large deflection problem of beam and plates by the finite element method. The elongation of the middle surface caused by its rotation is considered in strain-displacement relations. The higher order terms will be reserved when strain energy is calculated. The elastic stiffness matrix, linear and nonlinear initial stress stiffness metrices are derived by the principle of minimum potential energy. Examples show that precision will be properly manifested although the total storage amount and the calculating lime are not increased. The iterative method with co-moving coordinate must be adopted to avoid parasitic rigid body motion.

Key words: spacecraft attitude dynamics, chaos, Melnikov's method, numerical simulation

刘正兴;吴连元;冯太华. THE FINITE ELEMENT ANALYSIS OF THE FLEXIBLE BEAMS AND PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(9): 903-914.

Liu Zhen-xing;Wu Lian-yuan;Feng Tai-hua. THE FINITE ELEMENT ANALYSIS OF THE FLEXIBLE BEAMS AND PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(9): 903-914.

参考文献

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