Study on Non-Linear Responses of Eccentric Structure

Abstract eng:
The purpose of this research is to calculate the center of rigidity in the non-linear range of eccentric structures. It is necessary to calculate the equivalent stiffness matrix in the non-linear range. One of the ways to calculate the matrix is the equivalent linearization method proposed by T. K. Caughey. Previous studies on this method, however, focused on the equivalent single-degree-of-freedom system (referred to as SDOF, hereafter), in which the matrices can not be calculated directly. On the other hand, few studies have been reported on multi-degree-of-freedom system (referred to as MDOF, hereafter). It is necessary for the calculation of the center of rigidity in the non-linear range of eccentric structures to develop the equivalent linearization method for MDOF. In this paper, the equivalent linearization methods for the MDOF were developed to extend the applicable scope of the method reported by T. K. Caughey, which is one of the equivalent linearization methods for SDOF and based on the Least-squares method. Furthermore, a dynamic response analysis was conducted with one mass model with eccentric structures to evaluate the validity of the proposal methods.

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