Vibration Modes and Natural Frequency Veering in Three-Dimensional, Cyclically Symmetric Centrifugal Pendulum Vibration Absorber Systems

Author:

Shi Chengzhi1,Parker Robert G.2

Affiliation:

1. Graduate Student University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai 200240, China

2. L. S. Randolph Professor and Head Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA 24061 e-mail:

Abstract

This paper investigates the vibration mode structure of three-dimensional, cyclically symmetric centrifugal pendulum vibration absorber (CPVA) systems. The rotor in the system has two translational, one rotational, and two tilting degrees of freedom. The equations of motion for the three-dimensional model, including the rotor tilting, are derived to study the modes analytically and numerically. Only three mode types exist: rotational, translational-tilting, and absorber modes. The rotational and absorber modes have identical properties to those of in-plane models. Only the translational-tilting modes contain rotor tilting. The veering/crossing behavior between the eigenvalue loci is derived analytically.

Publisher

ASME International

Subject

General Engineering

Reference32 articles.

1. Carter, B. C., 1929, “Rotating Pendulum Absorbers With Partly Solid and Partly Liquid Inertia Members With Mechanical or Fluid Damping,” British Patent No. 337.

2. Tuned Pendulums as Torsional Vibration Eliminators,1938

3. The Non-Linear Dynamic Response of Paired Centrifugal Pendulum Vibration Absorbers;J. Sound Vib.,1997

4. Non-Unison Dynamics of Multiple Centrifugal Pendulum Vibration Absorbers;J. Sound Vib.,1997

5. A Subharmonic Vibration Absorber for Rotating Machinery;ASME J. Vibr. Acoust.,1997

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