一种准零刚度隔振器参数对力学特性的影响研究
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摘要
为优化气动准零刚度隔振器的设计参数,通过建立准零刚度的数学模型,确定了隔振器的各个参数间应满足的关系,并简化了准零刚度的数学模型。运用三阶泰勒公式分析了隔振器各个参数对静力学特性的影响。利用谐波平衡法对隔振器的动力学特性进行分析,得到了振动频率与振动幅值、力传递率的关系,并分析了参数对振动幅值和力传递率的影响。结果表明,通过合理设置参数可改善动力学特性的低频性能。
In order to optimize the design parameters of the quasi-zero-stiffness vibration isolator,the mathematic model of quasizero-stiffness was established to determine the relationship between the parameters of the isolator and the mathematical model of quasizero-stiffness was simplified. The influence of the parameters of the vibration isolator on the static characteristics was analyzed by the third-order Taylor formula. The dynamic characteristics of the vibration isolator were analyzed by the harmonic balance method. The relationship between the vibration frequency with the vibration amplitude or the force transmission rate was obtained. The influence of the parameters on the vibration amplitude and the force transmission rate was analyzed. The results show that the low frequency performance of the kinetic characteristics can be improved by setting the parameters reasonably.
In order to optimize the design parameters of the quasi-zero-stiffness vibration isolator,the mathematic model of quasizero-stiffness was established to determine the relationship between the parameters of the isolator and the mathematical model of quasizero-stiffness was simplified. The influence of the parameters of the vibration isolator on the static characteristics was analyzed by the third-order Taylor formula. The dynamic characteristics of the vibration isolator were analyzed by the harmonic balance method. The relationship between the vibration frequency with the vibration amplitude or the force transmission rate was obtained. The influence of the parameters on the vibration amplitude and the force transmission rate was analyzed. The results show that the low frequency performance of the kinetic characteristics can be improved by setting the parameters reasonably.
引文
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[8]王修彦.工程热力学[M].北京:机械工业出版社,2008.
[2]高双,朱翔,谌宗琦,等.基于欧拉梁的准零刚度隔振系统动力特性分析[J].中国机械工程,2016,27(21):2869-2876.GAO S,ZHU X,SHEN Z Q,et al.Analyses on Dynamics Characteristics of a Quasi-zero-stiffness Vibration Isolation System Based on Euler Beam[J].Journal of Mechanical Engineering,2016,27(21):2869-2876.
[3]王毅,徐道临,周加喜.滚球型准零刚度隔振器的特性分析[J].振动与冲击,2015,34(4):142-147.WANG Y,XU D L,ZHOU J X.Characteristic Analysis of a Ball-type Vibration Isolator with Quasi-zero-stiffness[J].Journal of Vibration and Shock,2015,34(4):142-147.
[4]周加喜,王心龙,徐道临,等.含凸轮-滚轮机构的准零刚度系统隔振特性实验研究[J].振动工程学报,2015,28(3):449-455.ZHOU J X,WANG X L,XU D L,et al.Experimental Study on Vibration Isolation Characteristics of the Quasi-zero Stiffness Isolator with Cam-roller Mechanism[J].Journal of Vibration Engineering,2015,28(3):449-455.
[5]张雷,毕树生,赵宏哲,等.零刚度交叉簧片柔性铰链的设计与仿真[J].机械设计与制造,2012(12):19-21.ZHANG L,BI S S,ZHAO H Z,et al.Design and Simulation of a Zero Stiffness Cross-Spring Pivot[J].Machinery Design and Manufacture,2012(12):19-21.
[6]徐道临,成传望,周加喜.屈曲板型准零刚度隔振器的设计和特性分析[J].湖南大学学报(自然科学版),2014,41(8):17-22.XU D L,CHENG C W,ZHOU J X.Design and Characteristic Analysis of a Buckling Plate Vibration Isolator with Quasi Zero-stiffness[J].Journal of Hunan University(Natural Sciences),2014,41(8):17-22.
[7]徐道临,赵智,周加喜.气动可调式准零刚度隔振器设计及特性分析[J].湖南大学学报(自然科学版),2013,40(6):47-52.XU D L,ZHAO Z,ZHOU J X.Design and Analysis of an Adjustable Pneumatic Vibration Isolator with Quasi Zerostiffness Characteristic[J].Journal of Hunan University(Natural Sciences),2013,40(6):47-52.
[8]王修彦.工程热力学[M].北京:机械工业出版社,2008.