扇形板的富里哀—贝塞尔级数解

钱民刚; 严宗达

扇形板的富里哀—贝塞尔级数解

钱民刚¹,
严宗达²

1.
系统工程研究所;
2.
天津大学力学系

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出版历程
- 收稿日期: 1983-12-02
- 刊出日期: 1985-04-15

Solution of Sector Plate by Fourier-Bessel Series

Qian Min-gang¹,
Yan Zong-da²

1.
Systems Engineering Institute, Beijing;
2.
Department of Mechanics, Tianjin University, Tianjin

摘要

摘要: 本文以加补充项的富里哀—贝塞尔双重级数的位移模式,对扇形弹性薄板在各种边界件条下的弯曲和振动问题,提出了一种应用范围比较广的、便于计算的、解析形式的解法.作为算例,文中给出了各种角度的径向边界简支或固定的扇形板在均布荷载或集中荷载作用下产生的挠度和弯矩的分布曲线,并与有关文献的数值结果进行了比较.本文推广了加补充项的富氏级数法的应用范围,并计算出各种角度的径向边界简支的扇形板的自振频率和节线的图表.

Abstract: In this paper a solution of deflection in the form of Fourier-Bessel double series with suplementary 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, convenient for calculation and it is in an analytical form, As computational examples, the distribution curves of deflection and bending moment of plates with various sector angles simply supported or clamped along the radial edges under uniform or concentrated load are obtained and the results are compared with the numerical results df related references, Thus the range of application of the Fourier series method with supple-mentary 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.

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参考文献(20)

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