Calculation And Analysis Of Structural Random Response And Dynamic Reliability

Based on a variety of disaster caused by annual natural random vibration and the complexity of the random vibration research which is not maturity, the random vibration research is a long-term work that still need to be studied.The structure dynamic reliability is still an urgent problem that need to be solved hindering in front of many researchers. Based on the research achievements of predecessors and the study of random vibration theory, this article mainly analyze the dynamic response of single freedom structure under random disturbance, and analyzes the dynamic reliability of another structure under random vibration based on the first failure mechanism.The main work and some important conclusions basised on this artic are as following:1.In this article, the random process has be carried on elaboration in detail, including the random process of statistics, and the classification of random process.2.The article illustrates the structure response analysis of unidirection under the stationary and non-stationary random excitation, especially, with the help of Matlab software, the seismic response by an engineering example of single freedom structure model based on Kanai-Tajimi is analyzed.3.In this article, the structure dynamic reliability is carried on an in-depth study. It clearly clarifies the structure's four kinds of failure criterions and two kinds of failure mechanisms. By another single-degree-of-freedom system as example, this artic builds a hypothesis that the structure is in different time of Gaussian white noise excitation and different security boundary conditions.The Matlab software is used to calculate the structure dynamic reliability under random vibration respectively by the Poisson process method, Markov process method, Rayleigh distribution method and the Gaussian distribution method(the latter two ways belong to extremum distribution method).4.Through the case analysis,based on the deformation failure criterion and the first super failure mechanism,the relevant conclusions on the structure dynamic reliability is obtained and summarizes the similarities and differences among the four methods to solve the structure dynamic reliability.