Exact solutions of in-plane natural vibration of a circular plate with outer edge restrained elastically |
| |
Authors: | Chang-Boo Kim Hyeon Seok Cho Hyeon Gyu Beom |
| |
Institution: | Department of Mechanical Engineering, Inha University, 253 Yonghyun-dong, Nam-gu, Incheon 402-751, Republic of Korea |
| |
Abstract: | We solve exactly the equations of in-plane natural vibration for a circular plate whose outer edge is restrained elastically. The mode shapes are represented by trigonometric functions with a number of nodal diameters in the circumferential direction and mode functions in the radial direction. We present the exact frequency equations and mode functions and tabulate the frequency parameters satisfying the frequency equations. The corresponding mode functions and two-dimensional mode shapes are illustrated when both radial and tangential stiffness are zero (free edge), infinity (clamped edge), or medium. Comparisons with previous reported results confirm the accuracy of the present work. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|