Research On Optimal Design Method For Parameters Of TMD Devices Based On Explicit Time-domain Approach Of Random Vibration

The research on stochastic optimal control based on reliability is a hot spots and has challenge in civil engineering recently. However, there are few methods to calculate structural dynamic reliability and its sensitivity efficiently. Based on the explicit time-domain approach which leads to dimension-reduction analysis for random vibration problems in a real sense, this dissertation is devoted to developing the efficient method to calculate structural dynamic reliability and to calculate the sensitivity of structural dynamic reliability. In addition, the optimal parameters design model and the optimal parameters design method of TMD devices are presented, then applying the above methods and model to practical large and complex structure for demonstrating high efficiency and practicability of proposed method.The major work of this dissertation can be described as follows:(1) The literature review summarizes the research about dynamic reliability and optimal parameters design of seismic reduction structure in random vibration problems. Non-stationary random vibration methods are presented, and coupled and uncoupled treatment of physical and probabilistic evolution mechanism involved in different methods are discussed thoroughly; the theory about dynamic reliability is presented, and methods to calculate structural dynamic reliability are summarized, then their advantages and disadvantages are discussed thoroughly; the research progress about optimal parameters design of seismic reduction structure is presented, focusing on the methods handling optimal parameters design based on structural dynamic reliability.(2) The method to calculate structural dynamic reliability is investigated based on the explicit time-domain approach of random vibration. Based on the time-domain explicit expression of response, the expression of the explicit time-domain method for variance of the response is derived; combined with explicit time-domain method for variance of the response, the Markov process method based on explicit time-domain method is proposed for calculating structural dynamic reliability.(3) The method to calculate the sensitivity of structural dynamic reliability is investigated based on the explicit time-domain approach of random vibration. Based on the time-domain explicit expression of response, the time-domain explicit expression of sensitivity of response is derived; based on the explicit time-domain method for variance and its sensitivity and combined with the Markov process method, the method based on the explicit time-domain method to calculate the sensitivity of structural dynamic reliability is proposed.(4) The research on optimal design method for parameters of TMD devices is investigated based on the explicit time-domain approach of random vibration. According to gradient based optimization algorithm, optimal design model with structure dynamic reliability as the objective function for parameters of TMD devices is put forward; for solving the optimal design model for parameters of TMD devices, optimal design method for parameters of TMD devices based on the explicit time-domain method is proposed, with its feasibility and superiority testified by examples.(5) The above methods is applied to the Guangzhou West Tower, which is a practical large and complex structure with about 120 thousand degrees of freedom, for calculating its structural dynamic reliability and its sensitivity and conducting the optimal design for parameters of TMD devices which are setting on the top of the Guangzhou West Tower. From the example of Guangzhou West Tower, useful conclusions are obtained and it is proved that the proposed methods in this paper are highly efficient and practical.Numerical examples and engineering application show that the proposed methods, including methods to calculate structural dynamic reliability and its sensitivity and the optimal design method for parameters of TMD devices have good accuracy and efficiency. So an effective way to conduct optimal design for parameters of TMD devices for large and complex structures is provided.