Author(s)

H.U. Koyliioglu, S.R.K. Nielsen & A.S. Cakmak

Abstract

Linear dynamic analysis of SDOF systems with random properties subject to earthquake excitations H.U. Koyliioglu*, S.R.K. Nielsen^ A.S. Cakmak* "Department of Civil Engineering and Operations, Princeton University, Princeton, NJ 08544, USA ^ Department of Building Technology and Structural Engineering, University of Aalborg, DK-9000 Aalborg, Denmark ABSTRACT The present paper deals with the dynamic analysis of linear single de- gree of freedom (SDOF) systems with random mass, random stiffness and random damping subject to random seismic loading. The importance of considering random system model is implemented with a detailed ex- amination of the impulse response function of SDOF systems and with several exact solutions. Response characteristics are initially determined on condition of a specific realization of the structural system. Then, total probability theorem is applied to evaluate unconditional expectations of the response. Conventional zeroth, first and second order pertu

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