以双层非线性隔振系统为对象,建立两自由度非线性隔振系统的动力学模型,研究在不同激励条件下的动力学特性和隔振效果。分析激励幅值一定的条件下系统响应随激励频率的全局分岔变化规律及其非线性动力学特征,采用优势频率处的能量衰减评估隔振系统对强线谱的隔离效果。计算结果表明,处于混沌状态时优势频率处的线谱强度降低了25.9 dB,验证混沌隔振方法能有效降低结构噪声中的线谱成分。
In this article, a dynamic model of two-degree-of-freedom nonlinear vibration isolation will be established. Bifurcation diagrams of this system with different excitation amplitude will be gained and the dynamic behaviors of bifurcation with different frequencies also will be obtained. On the other way, the reduction of the strong line spectrum will be evaluated by the energy attenuation in the characteristic frequencies. The research reveals that energy of the line spectrum will be reduced 25.9 dB in the characteristic frequencies. By the analysis of isolation effectiveness of the system, we can see that the application of chaos method in line spectrum reduction is perfectly validated.
2016,38(5): 64-68 收稿日期:2015-09-06
DOI:10.3404/j.issn.1672-7619.2016.05.014
分类号:O328
基金项目:国家自然科学基金资助项目(51179197)
作者简介:李爽(1992-),男,硕士研究生,研究方向为振动与噪声控制。
参考文献:
[1] 谢向荣,朱石坚.船舶动力机械双层混合隔振系统非线性动力学特性研究[J]. 振动与冲击, 2010, 29(3):174-177. XIE Xiang-rong, ZHU Shi-jian. Nonlinear dynamics of two-stages hybrid isolation system of power machinery on ships[J]. Journal of Vibration and Shock, 2010, 29(3):174-177.
[2] CREDE C E. Vibration and shock isolation[M]. New York:John Wiley & Sons, 1951.
[3] 朱石坚,楼京俊,何其伟,等.振动理论与隔振技术[M].北京:国防工业出版社, 2006. ZHU Shi-jian, LOU Jing-jun, HE Qi-wei, et al. Vibration theory and vibration isolation[M]. Beijing:National Defense Industry Press, 2006.
[4] 姜荣俊.控制混沌技术在隔振系统中的应用研究[D].武汉:海军工程大学, 2002. JIANG Rong-jun. Application of chaos control on vibration isolation system[D]. Wuhan:Naval University of Engineering, 2002.
[5] 刘树勇. 混沌振动的识别研究[D]. 武汉:海军工程大学, 2003. LIU Shu-yong. Research on chaos identification[D]. Wuhan:Naval University of Engineering, 2003.
[6] 姜荣俊,朱石坚,何琳.混沌振动在水声对抗中的应用前景[J].非线性动力学学报, 2001, 8(1):15-18. JIANG Rong-jun, ZHU Shi-jian, HE Lin. Prospect of application of chaotic vibration in the waterborne-noise confrontation[J]. Journal of Nonlinear Dynamics in Science and Technology, 2001, 8(1):15-18.
[7] 俞翔,刘树勇,朱石坚.非线性隔振系统混沌特性实验研究[J].噪声与振动控制, 2003, 23(4):9-11, 15. YU Xiang, LIU Shu-yong, ZHU Shi-jian. Experimental research on the chaotic characteristics of nonlinear vibration isolation system[J]. Noise and Vibration Control, 2003, 23(4):9-11, 15.
[8] LOU J J, ZHU S J, HE L, et al. Application of chaos method to line spectra reduction[J]. Journal of Sound and Vibration, 2005, 286(3):645-652.
[9] 欧阳清.混沌振动与振动控制研究[D].武汉:海军工程大学, 2001. OUYANG Qing. Study on chaos of vibration and vibration control[D]. Wuhan:Naval University of Engineering, 2001.