首页> 外文会议>World conference on earthquake engineering >NONLINEAR RESPONSE OF BASE ISOLATED STRUCTURE WITH HYSTERETIC HARDENING AND ENERGY ABSORPTION IN CHAOTIC DYNAMICAL SYSTEM
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NONLINEAR RESPONSE OF BASE ISOLATED STRUCTURE WITH HYSTERETIC HARDENING AND ENERGY ABSORPTION IN CHAOTIC DYNAMICAL SYSTEM

机译:基于混沌动力系统滞回和能量吸收的基础隔离结构的非线性响应

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This paper presents a nonlinear hysteretic model of an isolator that reproduces real experimental curve with hardening and energy absorption and discusses its nonperiodic response behaviors and stability. First a mathematical nonlinear equation governing one mass system is given and two types of hysteretic curves adopting the polynomial and cubic functions of displacements are shown. The former has hysteretic energy absorption but the later doesn't. The equation can be solved by means of Runge-Kutta Method. Next the effect of hysteretic energy absorption is examined comparing time histories of the two models each other. Initial natural period of analytical models are set 3.0 seconds and damping coefficients are 0% and 5%. Here ground motions are sinusoidal waves, El Centro 1940, the 1995 Hyogo-Ken-Nanbu Earthquake and Miyagi-Ken-Oki earthquake of 1978 so that their maximum amplitudes may be modified 150 cm/sec and the time increment for computing is 0.001 second. Obviously hysteretic energy absorption reduces response after the range from 4.0 to 5.0 seconds in time histories. Attractors to sinusoidal motion with the same amplitude in phase plane show that it makes the chaotic behavior more stable.
机译:本文提出了再现真实实验曲线与硬化和能量吸收,并讨论其非周期性响应行为和稳定性的隔离器的迟滞非线性模型。第一管理一个质量系统的数学非线性方程给定和两种类型采用位移的多项式和三次函数滞回曲线被示出。前者具有滞后吸收能量而后者没有。该公式可以通过龙格 - 库塔方法手段来解决。接下来滞后能量吸收的效果进行检查比较两个模型彼此的时间历程。分析模型的初始固有周期被设置3.0秒和阻尼系数是0%和5%。这里地面运动是正弦波,埃尔森特罗1940年,1995年兵库县-南部县地震和1978年宫城肯岐地震,使得它们的最大振幅可被修改150厘米/秒和用于计算时间增量为0.001秒。明显滞后能量吸收减少了从4.0到5.0秒的时间历程的范围内后的响应。吸引到与相平面显示相同的幅度,它使混乱的行为更加稳定的正弦运动。

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