Slip System Vibration Study

Sliding isolation is an important passive control measure to defend against earthquake action, thus it possesses very broad prospect in engineering practice. Some basic problems relating to the vibration of sliding friction systems are discussed in this thesis, including:1 SIGN function's serialization approximate expression and its precision analysis Based on the time-frequency analytical method, the study of SIGN function serialization expression accuracy and applicability is prolonged in this theses by examining on slipping seismic isolation system under multiple frequency simple harmonic excitation and/or shock effect, respectively.2 Monte-Carlo simulation and analysis of the rigidity slippage shock insulation structure steady state random responseMonte Carlo simulation is adopted in this thesis to approach slip system's steady state response distribution under gauss excitation relative to Gaussian distribution's departure degree. The steady state response's evolution rule in response to system parameters variation is also discussed. The responses' joint probability density distributional characteristics of the slip system that has gradual forcible resilience are analyzed in this article, and system parameters' influence on amplitude skip and/or stationary responses' characteristic under narrow-band even Gaussian white noise action is studied.3 Equivalent predict methods and their applicability analyses for steady state random responses of sliding systems with hardening springsSome equivalent methods and their applicability forecasting the steady state random responses of sliding systems are probed into in this thesis. The methods include: equivalent linearization method, equivalent non-linearization method and their syntheses. According to the results of Monte Carlo simulation, the accuracy of the methods above is analyzed comparatively.