EVALUATION OF THE FUNDAMENTAL VIBRATION FREQUENCY OF A BENDING PLATE BY USING AN ITERATIVE APPROACH

✍ Scribed by R.S. Chen

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 173 KB
• Volume: 204
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1997.0958

✦ Synopsis

The fundamental vibration frequency of a bending plate is investigated by using an iterative approach. The biharmonic operator in the equation is reduced by performing the Laplace operator twice, and the finite difference method is used to solve the problem. The frequency and the deflection mode are adjusted and changed simultaneously in the iteration. The boundary conditions for the clamped edge case and free edge case are satisfied implicitly. A convergent tendency has been found in the solution, and high accuracy has been proved in the example problem. Numerical examples are given to demonstrate the efficiency of the method.