Exact Solutions for Free-Vibration Analysis of Rectangular Plates Using Bessel Functions
发布时间：2025-04-30
点击次数：
- 发布时间：
- 2025-04-30
- 论文名称：
- Exact Solutions for Free-Vibration Analysis of Rectangular Plates Using Bessel Functions
- 发表刊物：
- ASME Journal of Applied Mechanics
- 摘要：
- A novel Bessel function method is proposed to obtain the exact solutions for the freevibration
analysis of rectangular thin plates with three edge conditions: (i) fully simply
supported; (ii) fully clamped, and (iii) two opposite edges simply supported and the other
two edges clamped. Because Bessel functions satisfy the biharmonic differential equation
of solid thin plate, the basic idea of the method is to superpose different Bessel functions
to satisfy the edge conditions such that the governing differential equation and the boundary
conditions of the thin plate are exactly satisfied. It is shown that the proposed method
provides simple, direct, and highly accurate solutions for this family of problems. Examples
are demonstrated by calculating the natural frequencies and the vibration modes
for a square plate with all edges simply supported and clamped.
- 合写作者：
- Jiu Hui Wu, A. Q. Liu, and H. L. Chen
- 卷号：
- 74
- 页面范围：
- 1247-1251
- 是否译文：
- 否
- 发表时间：
- 2007-11-15