System Identification Of The Hysteresis Nonlinear Supporting Structure

The system identification of dynamics is a technology science of modeling dynamics system抯 mathematical model by system testing, it is a cross-knowledge from the development of the control theory. Presently, the modeling of dynamics system mainly divided into two means of theory modeling and test modeling. This paper firstly introduces the engineering significance and the science significance of developing dynamics system identification of isolated supporting, summarizes the actuality of system identification, analyzes its developing direction and existing problem, radicates the technology course of modeling based on testing and theory. By dynamics testing of the isolated supporting, find that the relation about the isolating force and displacement show typical hysteretic non-linear behavior. Hysteretic non-linear is a big type of the non-linear problem. Commonly, it is from the engineering material抯 non-linear especially the composite material抯 non-linear. What is called hysteretic, it is a description about the structure stiffness and the energy consuming property, at any instantaneous the restoring force depends on not only the excitation and response state but also the deformation history. Hysteretic non-linear include non-linear stiffness and the non-linear damp. Presently, the modeling of hysteretic non-linear system is an important research field in non-linear system. This paper provides a mathematical model of the isolating force based on the literature summarizing and combining the dynamics property of the isolated supporting, simply and identify the parameters in the model. At last the mathematical description of the theory calculation and result of testing, the mathematical and rhe parameter identification is demonstrated successfully and exactly. At last through the strong learing ability and non-linear mapping ability of the neural network, the restoring force of the isolated supporting is estimated and the results of the estimation is successfully comparing with the test, at the same time the research direction for the future is got developed. The research process in this paper also benefits to other non-linear hystertic system modeling and parameter identification, the mathematical model provided has definite guiding meaning for the dynamics design and modification ulteriorly.