Response and analysis of multi-degree-of-freedom cylindrical roll grinding system

Abstract

The dynamic response of a roll grinding system with non-constant delay is investigated on the basis of a non-linear multidegree-of-freedom (MDOF) model. A delay effect originates from shape error regeneration on the surface of the roll, and the delay varies with the rotational speed of the roll. A five-degree-of-freedom (5DOF) system is considered. Two equations describe the vibration response of the roll in rotating coordinates, and the other three express the rotational rigid-body vibration system of the roll, the grindstone and its motor. Rotational speed controllers of drives are introduced. In order to obtain the non-constant time delay and the delayed total penetration of the grindstone, a two-step cubic interpolation method is applied. Numerical results are presented, discussed and compared with different cases. Time domain responses are used to illustrate the stability of the system with grinding parameters.

Keywords

cylindrical grinding rotor dynamics non-constant time delay speed controller

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