The Response Calculation of Hysteretic Systems under Random Excitation
Hou Zhiqiang(1),Li Yue(2)
(1,Navy Institute of Aeronautics Engineering Yantai, 264001) (2,PLA University of Science and Technology, Nanjing, 210016)

Abstract: First, a filter of rather high precision is designed for random excitation. The random vibration problem of a hysteretic system excited by colored noise is transformed into that of the extended system, consisting of hysteretic system and the filter, excited by white noise. Then the concrete solution to this problem by the method of equivalent linearization is elaborated. Recurrence relations about the joint moment of Gauss random variable and implement of solution for Liapunov equation are deduced emphatically. Finally, according to the result of digital simulations, the accuracy and error source of the method of equivalent linearization are analyzed, and some advice for parameter design of hysteretic vibration reduction systems is provided.
Keywords: random vibration, hysteretic system, vibration reduction, response calculation.