A computational method for vibration characteristics of four-sided fixed-supported stiffened plates
For four-sided fixed-supported stiffened plates commonly used in ship engineering,a method for calculating the vibration characteristic is studied based on the Rayleigh-Ritz method.A stiffened plate is divided into two parts,plate and stiffeners.By using the boundary compatibility conditions between the plate and the stiffeners,the total energy equation of the transverse vibration of the stiffened plate is derived based on the small deflection bending theory of thin plates and the Euler beam theory.The transverse vibration characteristic equation of the stiffened rectangular plate is deduced by the Rayleigh-Ritz method.Four displacement base functions satisfying the boundary conditions of the four-sided fixed-supported stiffened plate,a high efficient and accurate function is selected,the relevant calculation program is coded,various stiffened plates are calculated,and the influence of type and order of the base functions and the scale of the stiffened plate on the computational accuracy and efficiency is analyzed by comparing with finite element results.By changing the parameters of the stiffened plate,the inherent vibration characteristics and variations of the four-sided fixed-supported stiffened plate are analyzed.
stiffened platestransverse vibrationdisplacement base functioninherent characteristics
万方数据
维普
