Effects of Machine Tool Spindle Decay on the Stability Lobe Diagram: An Analytical-Experimental Study

An analytical-experimental investigation of machine tool spindle decay and its effects of the system’s stability lobe diagram (SLD) is presented. A dynamic stiffness matrix (DSM) model for the vibration analysis of the OKADA VM500 machine spindle is developed and is validated against Finite Element...

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Main Authors: Omar Gaber, Seyed M. Hashemi
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2016/4390185
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author Omar Gaber
Seyed M. Hashemi
author_facet Omar Gaber
Seyed M. Hashemi
author_sort Omar Gaber
collection DOAJ
description An analytical-experimental investigation of machine tool spindle decay and its effects of the system’s stability lobe diagram (SLD) is presented. A dynamic stiffness matrix (DSM) model for the vibration analysis of the OKADA VM500 machine spindle is developed and is validated against Finite Element Analysis (FEA). The model is then refined to incorporate flexibility of the system’s bearings, originally modeled as simply supported boundary conditions, where the bearings are modeled as linear spring elements. The system fundamental frequency obtained from the modal analysis carried on an experimental setup is then used to calibrate the DSM model by tuning the springs’ constants. The resulting natural frequency is also used to determine the 2D stability lobes diagram (SLD) for said spindle. Exploiting the presented approach and calibrated DSM model it is shown that a hypothetical 10% change in the natural frequency would result in a significant shift in the SLD of the spindle system, which should be taken into consideration to ensure chatter-free machining over the spindle’s life cycle.
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spelling doaj-art-e792dd4fbc0e4fb6ad799ad453ba08062025-02-03T05:46:34ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/43901854390185Effects of Machine Tool Spindle Decay on the Stability Lobe Diagram: An Analytical-Experimental StudyOmar Gaber0Seyed M. Hashemi1Department of Aerospace Engineering, Ryerson University, 350 Victoria Street, Toronto, ON, M5B 2K3, CanadaDepartment of Aerospace Engineering, Ryerson University, 350 Victoria Street, Toronto, ON, M5B 2K3, CanadaAn analytical-experimental investigation of machine tool spindle decay and its effects of the system’s stability lobe diagram (SLD) is presented. A dynamic stiffness matrix (DSM) model for the vibration analysis of the OKADA VM500 machine spindle is developed and is validated against Finite Element Analysis (FEA). The model is then refined to incorporate flexibility of the system’s bearings, originally modeled as simply supported boundary conditions, where the bearings are modeled as linear spring elements. The system fundamental frequency obtained from the modal analysis carried on an experimental setup is then used to calibrate the DSM model by tuning the springs’ constants. The resulting natural frequency is also used to determine the 2D stability lobes diagram (SLD) for said spindle. Exploiting the presented approach and calibrated DSM model it is shown that a hypothetical 10% change in the natural frequency would result in a significant shift in the SLD of the spindle system, which should be taken into consideration to ensure chatter-free machining over the spindle’s life cycle.http://dx.doi.org/10.1155/2016/4390185
spellingShingle Omar Gaber
Seyed M. Hashemi
Effects of Machine Tool Spindle Decay on the Stability Lobe Diagram: An Analytical-Experimental Study
Shock and Vibration
title Effects of Machine Tool Spindle Decay on the Stability Lobe Diagram: An Analytical-Experimental Study
title_full Effects of Machine Tool Spindle Decay on the Stability Lobe Diagram: An Analytical-Experimental Study
title_fullStr Effects of Machine Tool Spindle Decay on the Stability Lobe Diagram: An Analytical-Experimental Study
title_full_unstemmed Effects of Machine Tool Spindle Decay on the Stability Lobe Diagram: An Analytical-Experimental Study
title_short Effects of Machine Tool Spindle Decay on the Stability Lobe Diagram: An Analytical-Experimental Study
title_sort effects of machine tool spindle decay on the stability lobe diagram an analytical experimental study
url http://dx.doi.org/10.1155/2016/4390185
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AT seyedmhashemi effectsofmachinetoolspindledecayonthestabilitylobediagramananalyticalexperimentalstudy