Free Vibration Analysis of Stiffened Plates Using Polynomials Having the Property of Timoshenko Beam Functions

Timoshenko 보함수 성질을 갖는 다항식을 이용한 보강판의 교유진동 해석

In this study, the assumed-mode method using characteristic polynomials of Timoshenko beam is applied for the free vibration analysis of rectangular stiffened plates. The polynomial is derived considering the rotational constraint along the boundary edges of plate and the orthogonal relation of Timoshenko beam functions, which enables to simplify the free vibration analysis of plate structure having various boundary conditions. To verify the validity and effectiveness of the adopted method, numerical analysis for cross-stiffened plates were carried out and its results were compared with those obtained by the general purpose FEA software.