滑移系统振动的若干基本问题研究

【作者】 赵桂峰；

【导师】 李大望；

【作者基本信息】 郑州大学 ， 结构工程， 2005， 硕士

【摘要】 滑动摩擦隔震是结构抵御地震作用的一种重要的被动控制措施,具有广阔的工程应用前景。本论文着重探讨了滑动摩擦系统的振动非线性及其等效线性化分析中的若干基本问题,具体包括: 1.符号函数连续化近似表达式的精度分析 基于时频分析方法,分别考察了滑移隔震系统多频简谐激励及地震作用下符号函数连续化表达式的精确性和适用性。 2.刚性滑移隔震结构稳态随机响应的蒙特卡洛模拟与分析 通过蒙特卡洛模拟探讨了滑移系统高斯激励稳态响应分布相对于高斯分布的偏离程度及其随系统参数的演化规律,研究了窄带平稳高斯白噪声作用下渐硬恢复力滑移系统的联合概率密度分布特征以及系统参数对振幅跳跃及平稳响应特征的影响规律。 3.硬弹簧滑移系统稳态随机响应的等效化预测及适用性分析 探讨了几种解析预测滑移系统稳态随机响应的等效化方法的适用性。包括等效线性化、等效非线性化方法及其综合。以蒙特卡洛模拟结果为基准,对比分析了上述方法的精度。更多还原

【Abstract】 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.更多还原