DYNAMICS OF AUTOPARAMETRIC VIBRATION ABSORBERS USING MULTIPLE PENDULUMS

✍ Scribed by A. VYAS; A.K. BAJAJ

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 375 KB
• Volume: 246
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2001.3616

✦ Synopsis

This paper analyzes the dynamics of a resonantly excited single-degree-of-freedom linear system coupled to an array of non-linear autoparametric vibration absorbers (pendulums). The case of a 1:1: 2 : 2 internal resonance between pendulums and the primary oscillator is studied. The method of averaging is used to obtain "rst order approximations to the non-linear response of the system. The stability and bifurcations of equilibria of the averaged equations are computed. It is shown that the frequency interval of the unstable single-mode response, or the absorber bandwidth, can be enlarged substantially compared to that of a single pendulum absorber by adjusting individually the internal mistunings of the pendulums. Use of multiple pendulums is also shown to engender degenerate bifurcations as the double-mode response &&switches'' from one pendulum to the other with changing external excitation frequency. The e!ect of various parameters on the performance is discussed and a strategy is developed to "nd the most e!ective parameters for maximum bandwidth of operation. This results in a signi"cant enhancement of the performance of autoparametric vibration absorbers.

2001 Academic Press