Vibration Analysis Of Mindlin Plate By Differential Quadrature Method

ABSTRACT:In general, earthquakes have been treated as very important design loads for various structures such as building, bridge, and so forth. Especially in high building design, these loads dominantly control the structural design margins of systems and components. Therefore, the reduction of the seismic loads has received the worldwide attention for the sake of people's economy and safety. And many seismic isolation methods are developed. A new isolation system is fabricated by the use the band gaps characteristics of periodic structure Band gaps of periodic structure are important character, and many studies concerning the band gaps of periodic structure. In this paper, the differential quadrature method is developed to calculate elastic band gaps of two-dimensional tow-component periodic structure. The contents include:1. Introduction of some basic concepts about periodic structure, including description of periodic, basic governing equation, the Bloch-Floquet theorem, and the principle of the seismic isolation system.2. The principle of differential quadrature method (DQM) is introduced. Two extensively decisive factors:the decision of the weighting coefficients and the choice of sampling points, are descripted particularly.3. The theoretical equations of Mindlin plate are derived by employing the Bloch-Floquet theorem and then solved by the use of the differential quadrature method. A program is completed using the Matlab language. The implementation of the method for the solution of actual problems id elaborated through some examples. The calculation accuracy and convergence characteristics are discussed.4. Plane stress and plane strain problems is solve by the use of the differential quadrature method. Examples is conducted, verified that the differential quadrature method is also valid for plane stress and plane strain problems.