Comparison of the Dynamic Response of a Damped MDOF Nonlinear Beam Model with anEquivalent SDOF Hysteretic Model

摘要

The studies of the comparative behavior of nonlinear single-degree-of-freedom(SDOF) and nonlinear multiple-degree-of-freedom (MDOF) models were made to better understand the dynamic behavior of a dynamic model with hysteretic damping, the SDOF, and of a model with specified damping, the MDOF. Each of these models can be used for dynamic modeling of structures. The limitations of each of the nonlinear models provided the impetus for the development of these two nonlinear lumped parameter models. The study is of how to specify the quantity of damping of the MDOF model. Two SDOF models, one with a very low quantity of hysteretic damping and one with a more typical quantity of hysteretic damping were compared to MDOF models with specified damping. The goal of these studies was to have equal dynamic response of the two nonlinear models.