A semi-analytical method for the dynamic characteristics of stiffened plate with general boundary conditions. (September 2022) - Gao, Cong
Abstract: In this paper, the free, steady and transient vibration response of stiffened plate with general boundary conditions are studied through theoretical and experimental comparisons. Firstly, the structural energy functional is established in the framework of the first-order shear deformation theory (FSDT), the stiffened plate is divided into several equal parts according to the domain decomposition method (DDM). Next, the artificial springs are introduced to ensure the continuity of segments and diversified boundary conditions. The unified Jacobi orthogonal polynomials and trigonometric series are expanded to represents the displacement field along different directions, and the free, steady and transient vibration characteristics of stiffened plate can be obtained by using Rayleigh–Ritz method. Results for various boundary conditions, structure parameter are presented, the validity and accuracy of the proposed method is verified by comparing with the existing literatures and experiment, the arbitrary impulse excitation load and damped vibration are considered. It is clearly shown that the accurate solutions can be obtained by using proposed method and the research can supply technical support for the vibration control of stiffened plate structure. Highlights: The free, steady and transient vibration model of stiffened rectangular plate is established, the displacement functions are generalized. The experiment of rigid–fixed stiffened plate is conducted, and the arbitrary impulse load and damped vibration are considered. The free, steady and transient vibration characteristics of the structure have been well analyzed, as well as the good convergence and feasibility.