一般线性粘弹性阻尼器耗能结构瞬态响应的非正交振型叠加精确解

发布时间：2018-06-03 12:52

本文选题：一般积分型粘弹性阻尼器 + 多自由度耗能结构　；参考：《工程力学》2015年11期

【摘要】：对一般线性粘弹性阻尼器(含线性橡胶隔震支座)耗能结构的非正交振型叠加精确解法进行了系统研究。首先采用最一般的线性粘弹性阻尼器的积分型精确分析模型,用微分积分方程组实现一般粘弹性阻尼器耗能结构的时域非扩阶精确建模;然后采用传递矩阵法,直接在耗能结构原始空间上获得了一般线性粘弹性耗能变频结构在任意激励和非零初始条件下位移与速度时域瞬态响应的非正交振型叠加精确解;通过与3种典型结构的对比分析,验证了该精确解的正确性、简易性和普适性。该非扩阶精确解具有明确的物理意义,可视为现有比例粘滞阻尼定常结构的经典正交振型叠加精确解在一般线性粘弹性阻尼耗能变频结构的推广,能从本质上精确揭示耗能结构的振动机理,即尽管耗能结构的振型不具有正交性,但耗能结构响应仍然可精确分解为各振型响应的线性组合。此振动机理将为建立耗能结构精确的振型分解反应谱法提供分析路径,同时可将现有用于一般粘滞阻尼定常结构的参数识别、动力修改、最优控制及优化设计等方法推广到一般粘弹性阻尼变频非定常结构。
[Abstract]:In this paper, the exact superposition method of nonorthogonal vibration modes for general linear viscoelastic dampers (including linear rubber isolation bearings) is studied systematically. Firstly, the integral exact analysis model of linear viscoelastic dampers is adopted, and the time-domain nonexpansive exact modeling of the energy dissipation structures of general viscoelastic dampers is realized by differential and integral equations, and then the transfer matrix method is used to model the energy dissipation structures of viscoelastic dampers in time domain. The superposition exact solutions of the time-domain transient responses of displacement and velocity of a general linear viscoelastic energy-dissipation variable frequency structure under arbitrary excitation and non-zero initial conditions are obtained directly in the original space of the energy dissipation structure. The correctness, simplicity and universality of the exact solution are verified by comparison with three typical structures. The non-extended order exact solution has definite physical significance and can be regarded as the extension of classical orthogonal mode superposition exact solution of the existing proportional viscous damping constant structure to the general linear viscoelastic damping energy dissipation frequency conversion structure. The vibration mechanism of energy-dissipation structures can be accurately revealed in essence, that is, although the modes of energy-dissipation structures do not have orthogonality, the response of energy-dissipation structures can still be decomposed into linear combinations of the response of each mode precisely. This vibration mechanism will provide an analytical path for the establishment of an accurate mode decomposition response spectrum method for energy-dissipation structures, and at the same time, it can be used for the identification and dynamic modification of existing parameters for general viscous damping steady structures. The optimal control and optimal design methods are extended to general viscoelastic damping variable frequency unsteady structures.
【作者单位】：广西科技大学土木建筑工程学院;
【基金】：国家自然科学基金项目(51468005,51368008) 广西自然科学基金项目(2014GXNSFAA118315) 广西科技大学创新团队支持计划项目
【分类号】：TU352.1

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