Generalized mathematical formulation for active vibration control of rotating machines with voltage‐driven electrodynamic actuators between machine feet and steel frame foundation

Author:

Werner Ulrich1

Affiliation:

1. Nuremberg Tech Georg Simon Ohm University of Applied Sciences Nuremberg Nuremberg Germany

Abstract

AbstractIn the paper, a generalized mathematical formulation for active vibration control of rotating machines with voltage‐driven electrodynamic actuators between machine feet and steel frame foundation is derived. This generalized mathematical formulation is based on a state space description in the Laplace domain, where the state space vector is lead back, for considering the actuator forces. The aim of the paper is that this generalized mathematical formulation can be used now for arbitrarily models of rotating machines—1D‐, 2D‐, and 3D‐models—with voltage‐driven electrodynamic actuators between machine feet and steel frame foundation, and where the vertical vibration acceleration at each machine foot is lead back to a separate controller. Of course, this mathematical formulation can also be adopt easily to other boundary conditions. As an example, the generalized mathematical formulation is used here for a 1D‐model of a rotating machine, to calculate the poles and the frequency response functions.

Publisher

Wiley

Subject

Applied Mathematics,Computational Mechanics

Reference36 articles.

1. ISO 10816‐3 (International Organization of Standardization) Mechanical vibration ‐ Evaluation of machine vibration by measurements on non‐rotating parts ‐ Part 3: Industrial machines with nominal power above 15 kW and nominal speeds between 120 r/min and 15000 r/min when measured in situ. (2009)

2. Vibrations of Rotating Machinery

3. Dynamics of Rotating Machines

4. Dynamics of Rotating Systems

5. Machinery Vibration and Rotordynamics

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