Application of Spline Element and State-Space Approach to Dynamic Analysis

Abstract

Application of spline element and state-space approach in analyzing dynamic response of rectangular plates is presented in this paper. The proposed method is on the basis of state-space theory of control systems and spline element interpolation procedure to take advantage of both the time domain and the space domain analysis methods. A state-space recursive scheme is developed for analyzing the dynamic response, such as displacement and internal forces in the structure. The application of the proposed method is demonstrated by two numerical examples.