杜芬型滑移系统振动非线性评估
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摘要
以叠加原理为判别准则,通过计算杜芬型滑移系统对双频简谐激励作用的动力响应,分析系统的振动非线性及其影响因素。结果表明,恢复力非线性与阻尼非线性存在相互作用机制,一定条件下摩擦阻尼的增加可以抑制恢复力非线性的发挥,系统整体振动的非线性并非两者效应的简单累加。外部激励的影响体现在其幅值和频率两个方面,双频激励强度均较大时会激发系统的振动非线性。
Taking the superposition principle as a criterion and calculating dynamic response of Duffing-type sliding systems to double-frequency harmonic excitations,the vibration nonlinearity of systems and their influence factors are analyzed.The results show that there is an interaction mechanism between nonlinearities of restoring force and damping;the increase in friction damping under given conditions may restrain the revealment of the nonlinearity of restoring force;the nonlinearity of the whole system vibration is not the simple accumulation of the above two nonlinear effects;the influence of external excitations is reflected with their amplitude and frequency;if the intensities of the double-frequency harmonic excitations are both increasing,the vibration nonlinearity of the whole system may be stimulated.
Taking the superposition principle as a criterion and calculating dynamic response of Duffing-type sliding systems to double-frequency harmonic excitations,the vibration nonlinearity of systems and their influence factors are analyzed.The results show that there is an interaction mechanism between nonlinearities of restoring force and damping;the increase in friction damping under given conditions may restrain the revealment of the nonlinearity of restoring force;the nonlinearity of the whole system vibration is not the simple accumulation of the above two nonlinear effects;the influence of external excitations is reflected with their amplitude and frequency;if the intensities of the double-frequency harmonic excitations are both increasing,the vibration nonlinearity of the whole system may be stimulated.
引文
[1]姚宝恒,郑连宏,杨霞菊等.Duffing振子相变检测中一种新的量化测度[J].振动与冲击,2006,25(1):51—57.
[2]Thomson W T,Dahleh MD.Theory of Vibration with Applica-tions(Fifth Edition)[M].北京:清华大学出版杜,2005.
[3]王海期.非线性振动[M].北京:高等教育出版杜,1992.
[4]朱位秋著.随机振动[M].北京:科学出版社,1992.
[5]李大望,樊友景,马亚丽.线性与立方恢复力等效模型的适用性研究[J].地震工程与工程振动,2005,25(2):68—71.
[6]李大望,霍达,蒋晓东.响应分布的线性化预测及矩信息的作用研究[J].土木工程学报,2005,38(9):86—88.
[7]房营光.非线性滑动隔震结构地震响应特性及其突变性分析[J].土木工程学报,2004,37(9):22—26.
[2]Thomson W T,Dahleh MD.Theory of Vibration with Applica-tions(Fifth Edition)[M].北京:清华大学出版杜,2005.
[3]王海期.非线性振动[M].北京:高等教育出版杜,1992.
[4]朱位秋著.随机振动[M].北京:科学出版社,1992.
[5]李大望,樊友景,马亚丽.线性与立方恢复力等效模型的适用性研究[J].地震工程与工程振动,2005,25(2):68—71.
[6]李大望,霍达,蒋晓东.响应分布的线性化预测及矩信息的作用研究[J].土木工程学报,2005,38(9):86—88.
[7]房营光.非线性滑动隔震结构地震响应特性及其突变性分析[J].土木工程学报,2004,37(9):22—26.
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