圆形或扇形薄板的横向振动问题(二)扇形薄板情形下偏微分方程的分离变量

doi:10.16854/j.cnki.1000-0712.210539

College Physics ›› 2022, Vol. 41 ›› Issue (07): 1-.doi: 10.16854/j.cnki.1000-0712.210539

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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

WU Chong-shi

School of Physics, Peking University, Beijing 100871, China

Received:2021-11-02 Revised:2021-12-02 Online:2022-07-28 Published:2022-07-25

Abstract

Abstract: The transverse vibration of sector plate is discussed from the point of view of equations of mathematical physics. The separation of variables applied to the partial differential equation in the eigenvalue problems is sketched. As an example, the eigenfrequencies and corresponding proper vibration modes are given when the boundary of sector plate is fixed.

Key words: sector plate, transverse vibration, separation of variables, boundary conditions, frequencies of proper vibration

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(II) Separation of variables of partial differential equation in the problem of transverse vibration of sector plate

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