Research Papers

Position-Dependent Multibody Dynamic Modeling of Machine Tools Based on Improved Reduced Order Models

[+] Author and Article Information
Mohit Law

Ph.D. Candidate

A. Srikantha Phani

Assistant Professor

Yusuf Altintas

Fellow ASME
e-mail: altintas@mech.ubc.ca
Department of Mechanical Engineering,
The University of British Columbia,
2054-6250 Applied Science Lane,
Vancouver, BC, V6T 1Z4, Canada

Contributed by the Manufacturing Engineering Division of ASME for publication in the Journal of Manufacturing Science and Engineering. Manuscript received January 31, 2012; final manuscript received October 19, 2012; published online March 22, 2013. Assoc. Editor: Tony Schmitz.

J. Manuf. Sci. Eng 135(2), 021008 (Mar 22, 2013) (11 pages) Paper No: MANU-12-1033; doi: 10.1115/1.4023453 History: Received January 31, 2012; Revised October 19, 2012

Dynamic response of a machine tool structure varies along the tool path depending on the changes in its structural configurations. The productivity of the machine tool varies as a function of its frequency response function (FRF) which determines its chatter stability and productivity. This paper presents a computationally efficient reduced order model to obtain the FRF at the tool center point of a machine tool at any desired position within its work volume. The machine tool is represented by its position invariant substructures. These substructures are assembled at the contacting interfaces by using novel adaptations of constraint formulations. As the tool moves to a new position, these constraint equations are updated to predict the FRFs efficiently without having to use computationally costly full order finite element or modal models. To facilitate dynamic substructuring, an improved variant of standard component mode synthesis method is developed which automates reduced order determination by retaining only the important modes of the subsystems. Position-dependent dynamic behavior and chatter stability charts are successfully simulated for a virtual three axis milling machine, using the substructurally synthesized reduced order model. Stability lobes obtained using the reduced order model agree well with the corresponding full-order system.

Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Fig. 1

Overview of the proposed modeling scheme

Grahic Jump Location
Fig. 2

Substructural assembly by enforcing continuity constraints, (a) compatible substructures, (b) incompatible substructures

Grahic Jump Location
Fig. 3

Flow chart for determining mode cut-off number

Grahic Jump Location
Fig. 4

NRFD and MAC comparison for standard component mode synthesis scheme (left) and iterated improved component mode synthesis scheme (right)

Grahic Jump Location
Fig. 5

Substructural assembly of the spindle-spindle housing substructure with the column substructure through constraint formulations

Grahic Jump Location
Fig. 6

Comparison of TCP FRFs for solution: with different constraint formulations (top), and with different numerical methods (bottom)

Grahic Jump Location
Fig. 7

Comparison of full order model and reduced order model TCP FRFs at three different positions: top position (top), mid position (middle), and bottom position (bottom)

Grahic Jump Location
Fig. 8

Stability boundaries at two distinct positions (left) and the corresponding chatter frequencies (right) for machining AISI 1045 common steel

Grahic Jump Location
Fig. 9

Stability boundaries at two distinct positions (left) and the corresponding chatter frequencies (right) for machining Al 7075-T6




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In