Stability of the unison response for a rotating system with multiple tautochronic pendulum vibration absorbers

Paul C.-P. Chao, S. W. Shaw, Cheng Tang Lee

研究成果: Article同行評審

52 引文 斯高帕斯(Scopus)

摘要

Due to spatial and balancing considerations, the implementation of centrifugal pendulum absorbers (CPVA’s) invariably requires that the total absorber inertia be divided into several absorber masses and stationed about the center of rotation. To achieve the designed-for performance, the CPVA's are expected to move in exact unison, since the selection of the total absorber mass is made by assuming an equivalent single absorber mass. In this paper, we determine the conditions under which the unison motion of a system of several identical CPVA’s is dynamically stable. This is done for the special case of tautochronic absorbers subjected to a purely harmonic torque. The stability criterion is obtained by an asymptotic method that exploits certain symmetries in the equations of motion and is based on the assumption that total moment of inertia of the absorbers is much smaller than that of the entire rotating system-an assumption that is almost always satisfied in practice. It is expressed in terms of a critical torque level that is proportional to the square root of the equivalent viscous damping of the individual absorbers. The result is verified by numerical simulations of the system near the critical parameter conditions. A future paper will consider the post-critical response of the system.

原文English
頁(從 - 到)149-156
頁數8
期刊Journal of Applied Mechanics, Transactions ASME
64
發行號1
DOIs
出版狀態Published - 1 一月 1997

指紋

深入研究「Stability of the unison response for a rotating system with multiple tautochronic pendulum vibration absorbers」主題。共同形成了獨特的指紋。

引用此