| 分段线性不对称迟滞系统的稳态响应 |
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| 引用本文： | 管迪,陈乐生.分段线性不对称迟滞系统的稳态响应[J].机械强度,2009,31(2). |
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| 作者姓名： | 管迪 陈乐生 |
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| 作者单位： | 福州大学,机械工程及自动化学院,福州,350002 |
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| 基金项目： | 福建省教育厅科技项目 |
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| 摘 要： | 建立一种分段线性不对称迟滞模型.在一次近似前提下,使用Kryov-Bogoliubov慢变参数法研究单自由度不对称迟滞系统简谐激励下的稳态响应.研究表明,随着激励幅度的增大,系统出现刚度软化现象,非线性程度越强这种现象越明显.由于迟滞恢复力的作用,系统存在非线性阻尼,非线性阻尼随稳态振幅的变化而发生变化,其变化规律仅与迟滞同线的形状相关.通过李雅普诺夫一次近似理论判断出此系统的稳态解是稳定的,幅频曲线没有跳跃现象.
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| 关 键 词： | 非线性振动 不对称迟滞系统 稳态响应 稳定性 |
STEADY-STATE RESPONSE OF PIECEWISE LINEAR ASYMMETRICAL HYSTERETIC SYSTEM |
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| GUAN Di,CHEN LeSheng.STEADY-STATE RESPONSE OF PIECEWISE LINEAR ASYMMETRICAL HYSTERETIC SYSTEM[J].Journal of Mechanical Strength,2009,31(2). |
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| Authors: | GUAN Di CHEN LeSheng |
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| Affiliation: | College of Mechanical Engineering and Automation;Fuzhou University;Fuzhou 35002;China |
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| Abstract: | The steady-state response of a single degree-of-freedom piecewise linear asymmetrical hysteretic system subjected to a sinusoidal excitation was investigated by using the Kryov-Bogoliubov slowly varying parameter method.The results show that the resonance frequency of system decreases along with the increasing of excitation,and this regulation is relative to the intensity of hysteretic nonlinearity.Due to the effect of hysteretic nonlinearity the nonlinear damping appears,and it varies along with changing o... |
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| Keywords: | Nonlinear vibration Piecewise linear asymmetrical hysteretic system Steady-state response Stability |
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