Free vibration analysis of corrugated plate based on improved Fourier series method

Abstract

Corrugated plates are widely used in ships, underwater vehicles and other engineering fields due to their good bending stiffness and strength characteristics. The properties of corrugated plates are determined by their corrugated shape, wavelength, and wave height, which affect each direction differently. In order to model these properties quickly and accurately, this paper employs an improved Fourier series method. The method is based on the Kirchhoff plate theory and equivalent stiffness method, expanding the displacement of the corrugated plate using Fourier series. By applying the energy principle, the free vibration characteristics of the corrugated plate can be determined. This approach allows for efficient and comprehensive multi-parameter control modeling of corrugated plates. The influence of structural form, material parameters and convergence on the vibration characteristics of corrugated plate is analyzed. This paper lays a foundation for the subsequent dynamic study of sandwich corrugated plate structure.