LQR-Based Least-Squares Output Feedback Control of Rotor Vibrations Using the Complex Mode and Balanced Realization Methods

Complex Modal Analysis of a Flat Belt Pulley System With Belt Damping and Coulomb-Damped Tensioner

Abstract: The effects of damping on rotational vibratory solutions of a multiple pulley-flat viscoelastomeric belt system with rotary arm tensioner is developed. A complex model procedure is developed to solve both underdamped and overdamped cases. This complex modal procedure allows for future extension to include nonsymmetric rotational models, such as transverse belt vibration coupling. The modal solution enables rapid analysis over a spectrum of frequencies. Seven pulley system experimental results reported in the literature support the analytical development. Belt damping has significant vibration and belt tension amplitude effects. Tensioner spring rate and coulomb damping has minor effects.

Model Reduction Methods for Rotor Dynamic Analysis: A Survey and Review

Abstract: The focus of this literature survey and review is model reduction methods and their application to rotor dynamic systems. Rotor dynamic systems require careful consideration in their dynamic models as they include unsymmetric stiffness, localized nonproportional damping, and frequency-dependent gyroscopic effects. The literature reviewed originates from both controls and mechanical systems analysis and has been previously applied to rotor systems. This survey discusses the previous literature reviews on model reduction, reduction methods applied to rotor systems, the current state of these reduction methods in rotor dynamics, and the ability of the literature to reduce the complexities of large order rotor dynamic systems but allow accurate solutions.

Controller Design for High-Performance Thrbomachines:

Abstract: This paper describes the development of an optimal control law design for the lateral vibration sup pression and stabilization of a rotor system with anisotropic fluid-film bearings and fluid leakage. Evaluation of the degree of controllability and observability and synthesis of the optimal control law using linear quadratic regulator theory accompanied by an asymptotic state observer are performed. Time responses, steady-state behavior, and singular value analysis are used to evaluate the performance and robustness of the feedback control system. Good closed-loop characteristics are obtained.

Complex Modal Analysis of a Flat Belt Pulley System With Belt Damping and Coulomb Damped Tensioner

Abstract: The effects of damping on rotational vibratory solutions of a multiple pulley-flat viscoelastomeric belt system with rotary arm tensioner is developed. A complex model procedure is developed to solve both underdamped and overdamped cases. This complex modal procedure allows for future extension to include nonsymmetric rotational models, such as transverse belt vibration coupling. The modal solution enables rapid analysis over a spectrum of frequencies. Seven pulley system experimental results reported in the literature support the analytical development. Belt damping has significant vibration and belt tension amplitude effects. Tensioner spring rate and coulomb damping has minor effects.