Analysis of vibration and acoustic radiation characteristics for rectangular plates with general boundary conditions

作者：Zhu, Li; Fan, Xin; Pang, Fu Zhen; Miao, Xu Hong

来源：Journal of Ship Mechanics, 2015, 19(11): 1409-1421.

DOI：10.3969/j.issn.1007-7294.2015.11.014

• Acoustic radiation
• Admissible functions
• Arbitrary boundary conditions
• General boundary conditions
• Minimum potential energy
• Rectangular plates
• Vibration
• Vibration characteristics

Based on the theory of plates, a new method called Improved Fourier Series Method (IFSM) is presented to study the vibration and acoustic characteristics of rectangular plates with arbitrary boundary conditions. The plate admissible functions is presented, which is invariantly sought as an improved Fourier cosine series, and a sine series is introduced to overcome the discontinuities of the structure. And then the Lagrange equation is established according to the principle of the minimum potential energy. Finally, by using the Rayleigh-Ritz technique the vibration characteristics can be easily acquired. Under these circumstances, with the help of Rayleigh integral formula, the expressions of sound pressure and acoustic power are derived. The effects of structural parameters and boundary conditions that have great impact on the acoustic radiation are also studied. The comparisons among numerical simulation results, which obtained with FEM and reposed in literatures, validate the correctness of the method.

• 出版日期2015
• 单位哈尔滨工程大学