Study On Chaotic Vibration Of Engineering Structures, Algorithms Of Chaotic Maximum Optimization And Its Application

Engineering chaos was such a universal phenomenon that it was reported virtually in every scientific discipline, the theory and practical applications of chaos have been widely valuable in many engineering fields. In this paper, some key problems of engineering chaotic vibration are discussed. The studies are mainly connected with the parameter and characteristic of chaotic vibration, the application of chaotic maximum optimization arithmetic, and chaotic optimization neural network in engineering structure.Firstly, based on Matlab language programs, the chaotic vibration characteristic maps of duffing equation are drawn. The sensitivity of initial value in chaotic vibration is straightly described. The critical parameters of cycle to chaos is determined. The variable law of fraction dimension in chaotic attractor is discussed.Secondly, this paper analyses dynamically the dynamic behavior of several typical chaotic attractor in its phase space, and move specialty of chaotic attractor. The complicated degree is described using the density of phase space in the chaotic attractor. Its method is better than the method of probability statistic.Thirdly, based on computer simulative technology, the chaotic vibration is identified by numerical distinguish methods. The variable law of vibration parameter is found. It provides reference for control chaos and using chaos.Fourthly, based on excellent parameter of chaotic maximum optimization algorithms, the new chaotic optimization arithmetic is put forward, specifically several carrier chaotic optimization method. This method is applied in the optimization design of engineering structure. This method has some advantages, such as simple algorithms, less computations, efficiency and good precision. This method is a efficiency to solve engineering optimization problem.Fifthly, this paper proposes the model of three-rank chaotic neural network, its chaotic characteristic is simulated. The optimization parameter of non-line chaotic neural element model and neural network model with transient chaotic behaviors are discussed...