圆形或扇形薄板的横向振动问题 （一） 圆心处的边界条件

doi:10.16854/j.cnki.1000-0712.210538

College Physics ›› 2022, Vol. 41 ›› Issue (6): 7-.doi: 10.16854/j.cnki.1000-0712.210538

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Transverse vibration of thin plate with circular or sector shape (I) Boundary conditions at circle center

WU Chong-shi

School of Physics, Peking University, Beijing 100871, China

Received:2021-11-02 Revised:2021-12-02 Online:2022-06-15 Published:2022-06-14

Abstract

Abstract: The transverse vibration of circular plate is discussed from the point of view of equations of mathematical physics. The mistakes of the boundary conditions at the center of circle appeared in the existing literature are analyzed carefully． New boundary conditions are proposed and their reasonability is discussed from the calculus ofvariations．

Key words: circular plate, transverse vibration, boundary conditions, frequencies of proper vibration

WU Chong-shi. Transverse vibration of thin plate with circular or sector shape (I) Boundary conditions at circle center[J].College Physics, 2022, 41(6): 7-.

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[2]	WU Chong-shi. Transverse vibration of thin plate with circular or sector shape(II) Separation of variables of partial differential equation in the problem of transverse vibration of sector plate [J]. College Physics, 2022, 41(07): 1-.
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Transverse vibration of thin plate with circular or sector shape (I) Boundary conditions at circle center

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