基于分段解析法的智能弹簧隔振系统基础激励响应分析  

Response analysis of smart spring vibration isolation system under harmonic base excitation using piecewise analytic method

作　　者：倪德[1] 朱如鹏[1] 鲍和云[1] 胡正根[1] 

机构地区：[1]南京航空航天大学江苏省精密与微细制造技术重点实验室,南京210016

出　　处：《振动与冲击》2013年第15期161-167,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51105194);高等学校博士学科点专项科研基金资助课题(20113218110017);中央高校基本科研业务费专项资金资助;江苏省普通高校研究生科研创新计划资助项目(CXZZ11_0199);江苏省高校优势学科建设工程资助;南京航空航天大学基本科研业务费专项科研项目资助(NP2011014)

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。The model of negative vibration isolation system based on the smart spring was established. The non-smooth system caused by dry friction was proposed to be piecewise linear, so that the analytical solution of system response could be solved by using connected-seam method. The possible response pattern of the system was studied. By numeric simulation, the motion characteristics varying with the operating frequency, near the slip-starting frequency, for a set of structural parameters, were analyzed. The following conclusions are drawn from the analysis result. A rather great distorsion happens on the response curve of the vibration isolation system in the slip region, and is of rich motion features, including the arising of single- period response, multi-period sub-harmonic response, super-harmonic response, qusi-periodic and chaotic response in the system. The system tends to maintain sticking motion outside the slipping region, as a result, the primary spring and the active spring can be looked as rigidly coupling to a single degree of freedom system. So there are two kinds of motion status in the system, the multi-period and the aperiodic response. The vibration isolation system based on the smart spring mechanism (SSM) can be used to suppress the vibration transmission in an adaptive manner by controlling the piezoelectric actuator voltage in order to vary both the stiffness and damping of the system.

关 键 词：智能弹簧 隔振 压电陶瓷 非光滑系统 干摩擦 

分 类 号：TH113.2[机械工程—机械设计及理论] TH113.1