Werner, U. (2017) Influence of the Foundation on the Threshold of Stability for Rotating Machines with Roller Bearings—A Theoretical Analysis. JAMP Journal of Applied Mathematics and Physics, 5, 1380-1397.
https://doi.org/10.4236/jamp.2017.56114

has been cited by the following article:

• TITLE: Active Vibration Control of Rotating Machines with Active Machine Foot Mounts on Soft Foundations Based on a 3D-Model

  AUTHORS: Ulrich Werner

  KEYWORDS: Active Vibration Control, Rotating Machines, Actuators, Steel Frame Foundation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.1, January 18, 2021

  ABSTRACT: The paper presents a simplified 3D-model for active vibration control of rotating machines with active machine foot mounts on soft foundations, considering static and moment unbalance. After the model is mathematical described in the time domain, it is transferred into the Fourier domain, where the frequencies response functions regarding bearing housing vibrations, foundation vibrations and actuator forces are derived. Afterwards, the mathematical coherences are described in the Laplace domain and a worst case procedure is presented to analyze the vibration stability. For special controller structures in combination with certain feedback strategies, a calculation method is shown, where the controller parameters can be directly implemented into the stiffness matrix, damping matrix and mass matrix. Additionally a numerical example is presented, where the vibration stability and the frequency response functions are analyzed.