The dynamic properties of machine tools are frequently calculated by means of finite-element (FE) models. Usually, in a first step, the structural components, such as machine bed, slides, columns, spindle housing, spindle, and work piece, are meshed. In a second step, these components are positioned relatively to each other and are connected by joints. Usually, the joints comprise a three-dimensional spring–damper element (SDE) and constraints that connect the SDE to adjacent structural components. Commercial FE programs do rarely offer insight into the underlying constraint equations. Rather, the constraints are realized by selecting the faces or nodes to connect and the type of constraint over a graphical user interface. Moreover, when insight into the underlying equations is offered, it is normally difficult to implement user-defined constraint equations. So far, literature lacks a coherent and in-depth description of constraints that are used for assembly of machine tool FE components. This drawback is addressed here. Different common constraints are revisited while particular focus is put on simulating moving machine axes. Common multipoint constraints (MPC) are supplemented by a shape function based node weighting. Thus, two new MPC are introduced, which improve model quality for ball screw joints (named node-to-beam (NB)-constraint) and linear guides (named RBE4-constraint). A three-axis milling machine serves as an application example for the different constraints. Simulation results are compared to experimentally derived results. Both, frequency response functions (FRF) and time-domain forced responses are considered. Showing reasonable correlation, the comparison of simulation and experiment indicates the validity of the constraints that have been introduced.
Skip Nav Destination
Article navigation
Research-Article
Multipoint Constraints for Modeling of Machine Tool Dynamics
Christian Brecher,
Christian Brecher
Laboratory for Machine Tools and
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
Search for other works by this author on:
Marcel Fey,
Marcel Fey
Laboratory for Machine Tools and
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
Search for other works by this author on:
Christian Tenbrock,
Christian Tenbrock
Laboratory for Machine Tools and
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
Search for other works by this author on:
Matthias Daniels
Matthias Daniels
Laboratory for Machine Tools and
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
e-mail: m.daniels@wzl.rwth-aachen.de
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
e-mail: m.daniels@wzl.rwth-aachen.de
Search for other works by this author on:
Christian Brecher
Laboratory for Machine Tools and
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
Marcel Fey
Laboratory for Machine Tools and
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
Christian Tenbrock
Laboratory for Machine Tools and
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
Matthias Daniels
Laboratory for Machine Tools and
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
e-mail: m.daniels@wzl.rwth-aachen.de
Production Engineering,
RWTH Aachen University,
Aachen 52074, Germany
e-mail: m.daniels@wzl.rwth-aachen.de
1Corresponding author.
Contributed by the Manufacturing Engineering Division of ASME for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received June 15, 2015; final manuscript received September 23, 2015; published online November 18, 2015. Assoc. Editor: Tony Schmitz.
J. Manuf. Sci. Eng. May 2016, 138(5): 051006 (8 pages)
Published Online: November 18, 2015
Article history
Received:
June 15, 2015
Revised:
September 23, 2015
Citation
Brecher, C., Fey, M., Tenbrock, C., and Daniels, M. (November 18, 2015). "Multipoint Constraints for Modeling of Machine Tool Dynamics." ASME. J. Manuf. Sci. Eng. May 2016; 138(5): 051006. https://doi.org/10.1115/1.4031771
Download citation file:
Get Email Alerts
Related Articles
Position-Dependent Multibody Dynamic Modeling of Machine Tools Based on Improved Reduced Order Models
J. Manuf. Sci. Eng (April,2013)
JCISE Editorial – August 2022
J. Comput. Inf. Sci. Eng (August,2022)
A Computer-Aided Design Module to Analyze Manufacturing Configurations of Bent and Hydroformed Tubes
J. Manuf. Sci. Eng (October,2007)
Dynamic Analysis of a Mesoscale Machine Tool
J. Manuf. Sci. Eng (February,2006)
Related Proceedings Papers
Related Chapters
Accuracy of an Axis
Mechanics of Accuracy in Engineering Design of Machines and Robots Volume I: Nominal Functioning and Geometric Accuracy
Introduction and Definitions
Handbook on Stiffness & Damping in Mechanical Design
Computer Aided Machine Design
Computer Aided Design and Manufacturing