滑移隔震结构的动力特性及地震反应
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摘要
提出了既能正确反映摩擦力特性又便于编程的连续型指数摩擦力模型；利用Ｐｏｉｎｃａｒｅ映射法研究地面谐运动下滑移隔震结构的周期响应，并发现结构将表现为对称性破裂分叉、振幅跳跃、基底爬行等非线性特征；利用高精度的精细时程积分法，计算滑移隔震结构的地震响应，绘制了上部结构动力系数反应谱和基底最大滑移量反应谱；对计算实例的分析发现，地震作用下滑移隔震结构的层间最大剪力和最大绝对加速度反应分布较一般传统结构有很大区别。
A new friction model is proposed. Sequential exponential friction model is the new model. It can be used to describe fric- tion characteristics correctly and to code conveniently. The response of a sliding structure subjected to harmonic motion is perio dic .The Poincare mapping method is adopted to study the response. Some nonlinear dynamic characteristics were observed such as symmetric bifurcation, amplitude jumping and base climbing. Seismic response of a sliding structure is calculated with a precise direct integration method. The results were illustrated as a dynamic coefficient response spectrum and a displacement re- sponse spectrum. An engineering example was shown that the maximum shear force and the absolute acceleration are much dif- ferent from that of tuaditional structures.
A new friction model is proposed. Sequential exponential friction model is the new model. It can be used to describe fric- tion characteristics correctly and to code conveniently. The response of a sliding structure subjected to harmonic motion is perio dic .The Poincare mapping method is adopted to study the response. Some nonlinear dynamic characteristics were observed such as symmetric bifurcation, amplitude jumping and base climbing. Seismic response of a sliding structure is calculated with a precise direct integration method. The results were illustrated as a dynamic coefficient response spectrum and a displacement re- sponse spectrum. An engineering example was shown that the maximum shear force and the absolute acceleration are much dif- ferent from that of tuaditional structures.
引文
1 B.Westermo, F.Udwadia.Periodic response of a sliding oscillatorsystem to harmonic excitation. Earth quake engineering & structuraldynamics, 1983 (1): 135 - 146
2 Masashi Iura, Kunihito Matsui, et al.Analytical expressions forthree different modes in harmonic motion of sliding structures. Earthquake engineering & structural dynamics,1992 (9): 757 - 769
3 N.Mostaghel, M.Hejazi, et al.Response of sliding structures toharmonic support motion.Earthquake engineering & structural dy- namics, 1983 (3): 355 - 366
4俞茂宏等.砖混建筑结构基础隔震分析.建筑结构学报. 1996(4): 52～59
5王优龙,魏琏等.隔震技术的研究与应用.北京:地震出 版社,1991
6熊仲明等.基础滑移隔震房屋的计算研究.土木工程学 报,1995(5):21～30
7 N. Mostaghel, T.Davis. Representations of Coulomb friction for dy-namic analysis.Earthquake Engineering & Structural Dynamics,1997 (5): 541-548
8 N.Hinrichs, et al.On the modelling of friction oscillators, J.ofSornd and Vibration, 1998 (3): 435 - 459
9钟万勰.结构动力方程的精细时程积分法.大连理工大学 学报, 1994(2): 131～135
10李庆扬.常微分方程数值解法.北京:高等教育出版社. 1992
2 Masashi Iura, Kunihito Matsui, et al.Analytical expressions forthree different modes in harmonic motion of sliding structures. Earthquake engineering & structural dynamics,1992 (9): 757 - 769
3 N.Mostaghel, M.Hejazi, et al.Response of sliding structures toharmonic support motion.Earthquake engineering & structural dy- namics, 1983 (3): 355 - 366
4俞茂宏等.砖混建筑结构基础隔震分析.建筑结构学报. 1996(4): 52～59
5王优龙,魏琏等.隔震技术的研究与应用.北京:地震出 版社,1991
6熊仲明等.基础滑移隔震房屋的计算研究.土木工程学 报,1995(5):21～30
7 N. Mostaghel, T.Davis. Representations of Coulomb friction for dy-namic analysis.Earthquake Engineering & Structural Dynamics,1997 (5): 541-548
8 N.Hinrichs, et al.On the modelling of friction oscillators, J.ofSornd and Vibration, 1998 (3): 435 - 459
9钟万勰.结构动力方程的精细时程积分法.大连理工大学 学报, 1994(2): 131～135
10李庆扬.常微分方程数值解法.北京:高等教育出版社. 1992
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