SOLUTION OF SECTOR PLATE BY FOURIER-BESSEL SERIES

摘要/Abstract

摘要： In this paper a solution of deflection in the form of Fourier-Bessel double series with supplementary terms is proposed to analyse bending and vibration problems of thin elastic sector plate with various edge conditions.This solution is suitable to a wider range, conventent for calculation and it is in on analytical form.As computational examples, the distribution curves of deflection and bending moment of plates with various sector angles.simply supported or damped along the radial edges under uniform ar concentrated load are obtained and the result are compared with the numerical results of related references.Thus the range of application of the Fourier series method with supplementary terms is extended.Frequencies and nodal lines in free vibration of plates with various sector angles simply supported along the radial edges are also given in this paper.

关键词: finite difference scheme, proper orthogonal decomposition, error estimate, non-stationary Stokes equation

Abstract: In this paper a solution of deflection in the form of Fourier-Bessel double series with supplementary terms is proposed to analyse bending and vibration problems of thin elastic sector plate with various edge conditions.This solution is suitable to a wider range, conventent for calculation and it is in on analytical form.As computational examples, the distribution curves of deflection and bending moment of plates with various sector angles.simply supported or damped along the radial edges under uniform ar concentrated load are obtained and the result are compared with the numerical results of related references.Thus the range of application of the Fourier series method with supplementary terms is extended.Frequencies and nodal lines in free vibration of plates with various sector angles simply supported along the radial edges are also given in this paper.

Key words: finite difference scheme, proper orthogonal decomposition, error estimate, non-stationary Stokes equation

钱民刚;严宗达. SOLUTION OF SECTOR PLATE BY FOURIER-BESSEL SERIES[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(4): 367-385.

Qian Min-gang;Yan Zong-da. SOLUTION OF SECTOR PLATE BY FOURIER-BESSEL SERIES[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(4): 367-385.

参考文献

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