基于分段解析法的智能弹簧隔振系统基础激励响应分析

倪德 朱如鹏 鲍和云 胡正根

振动与冲击 ›› 2013, Vol. 32 ›› Issue (15) : 161-167.

PDF(2044 KB)
PDF(2044 KB)
振动与冲击 ›› 2013, Vol. 32 ›› Issue (15) : 161-167.
论文

基于分段解析法的智能弹簧隔振系统基础激励响应分析

  • 倪德 朱如鹏 鲍和云 胡正根
作者信息 +

Study on Response Analysis of Smart Spring Vibration Isolation System under Harmonic Base Excitation Using Piecewise Analytic Method

  • NI De ZHU Ru-Peng BAO He-Yun HU Zheng-Gen
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摘要

建立了基于智能弹簧的无阻尼消极隔振系统模型,将干摩擦引起的非光滑动力系统分段线性化,用接缝法求得系统响应的解析解,并对系统可能存在的粘滑振动响应过程进行了分析。通过数值分析,研究了一组结构参数下,系统在滑移起始频率附近的运动特性随工作频率的变化情况。结果表明,在系统的滑移区域,系统响应曲线有较大的畸变,且具有丰富的运动特性,包含单周期响应、多周期亚谐响应、超谐响应、拟周期响应以及混沌响应;在系统滑移区域外,系统维持粘滞状态,基本弹簧与主动弹簧刚性联接,系统运动状态为多周期与非周期运动;通过调整压电陶瓷作动器的控制电压,智能弹簧隔振系统可实现以刚度和阻尼的组合形式减小振动能量的传递。

Abstract

The model of negative vibration isolation system based on the Smart Spring was established. Firstly, it was proposed that the non-smooth system caused by dry friction is piecewise linear, so that the analytical solution of system response could be solved by connected-seam method. And then the possible response pattern of the system was studied. Lastly, using numeric simulation, the motion characteristics varied with the operating frequency which near the slip-starting frequency, for a set of structural parameters, was analyzed. The following conclusions may be drawn from the analysis result. The response curve of the vibration isolation system has a greater distortion in the slip region, and it possesses rich motion features. The results show that the single- period response, multi-period sub-harmonic response, super-harmonic response, qusi-periodic and chaotic response arise in the system. The system tends to maintain sticking motion outside the slipping region, as a result, the primary spring and the active spring are rigidly coupling to a single degree of freedom system. So there are two kinds of motion status in the system, including multi-period and aperiodic response. The vibration isolation system based on the Smart Spring Mechanism(SSM) can be used to suppress the vibration transmission in a adaptive manner by control the piezoelectric actuator voltage in order to vary both the stiffness and damping.

关键词

智能弹簧 / 隔振 / 压电陶瓷 / 非光滑系统 / 干摩擦

Key words

smart spring / vibration isolation / piezoelectric ceramics / non-smooth system / dry friction

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导出引用
倪德 朱如鹏 鲍和云 胡正根. 基于分段解析法的智能弹簧隔振系统基础激励响应分析[J]. 振动与冲击, 2013, 32(15): 161-167
NI De ZHU Ru-Peng BAO He-Yun HU Zheng-Gen. Study on Response Analysis of Smart Spring Vibration Isolation System under Harmonic Base Excitation Using Piecewise Analytic Method[J]. Journal of Vibration and Shock, 2013, 32(15): 161-167

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