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在限定的重力静变形约束下给出了多个小中间质量隔振装置的最优设计并探讨了其隔振性能。这种装置将经典的双层隔振(the Two-Stage Vibration Isolation i.e.TSVI)所采用的大中间质量用多个分散小质量块代替,因此它具有安装方便和可靠性高等优点。更重要的是,仿真显示,多个小中间质量隔振装置可以削平TSVI的第二个共振峰而且其高频性能几乎与TSVI相同。为简化研究,采用了等质量,等刚度比和固有频率等间距分布假设,另外,无穷维动力系统去近似有限维系统的思想在这里再次显示了其简洁高效的优点,借助于该思想,得到了小中间质量隔振策略最优设计的解析式。最后仿真显示了小中间质量隔振的优越性并揭示了其隔振机理。
The optimal design of multiple small intermediate mass vibration isolation devices is given and the vibration isolation performance is discussed. This device replaces the large middle mass used by the classic Two-Stage Vibration Isolation (TSVI) with a number of discrete small masses so it offers the advantages of ease of installation and high reliability. More importantly, the simulations show that multiple small mid-range isolators can flatten the second formant of the TSVI and have almost the same high-frequency performance as the TSVI. In order to simplify the research, the assumption of equal mass, equal stiffness ratio and natural frequency equidistance distribution is adopted. In addition, the idea of infinite dimensional dynamical system to approximate finite dimensional system again shows its simplicity and high efficiency. With the help of this idea, Analytical formula of optimal design of vibration isolation strategy of small middle quality. The final simulation shows the superiority of small intermediate vibration isolation and reveals its vibration isolation mechanism.