With the increasing demand for improved machining accuracy in recent years, the problem of thermal deformation of machine tool structures is becoming more critical than ever. In spite of the effort for improving the thermal deformation characteristics of machine tools at the design stage, there are always some residual errors that have to be compensated for during machining. The design of a generic multi-axis control system requires the development of two models to estimate the transient thermal load and to estimate the thermal deformation of the structure in real-time. To satisfy the stringent accuracy and stability requirements of these two models, a new concept of “generalized modelling” is introduced. It combines mathematical modelling with empirical calibration, and is based on the existence of a mathematical similarity between the real process and a simplified model, referred to as the fundamental generalized problem FGP. To obtain an analytical description of the heat transfer and thermal deformation processes in machine tool structures, an analytical solution of the FGP, which consists of an infinite plate with a central ring heat source, is derived using Hankel transformation. Computer-simulated test cases are presented to demonstrate the use of generalized modelling for predicting the transient thermal response in a complex machine tool structure. It was also shown how the generalized model can accurately extrapolate limited measurement data to predict the entire temperature field. The results confirmed that the generalized model can reproduce the accuracy of the finite-element solution, but two orders of magnitude faster.
Skip Nav Destination
Article navigation
August 1998
Research Papers
Modelling, Identification and Control of Thermal Deformation of Machine Tool Structures, Part 1: Concept of Generalized Modelling
S. Fraser,
S. Fraser
Department of Mechanical Engineering, Concordia University, Montreal, Quebec, Canada
Search for other works by this author on:
M. H. Attia,
M. H. Attia
Department of Mechanical Engineering, Concordia University, Montreal, Quebec, Canada
Search for other works by this author on:
M. O. M. Osman
M. O. M. Osman
Department of Mechanical Engineering, Concordia University, Montreal, Quebec, Canada
Search for other works by this author on:
S. Fraser
Department of Mechanical Engineering, Concordia University, Montreal, Quebec, Canada
M. H. Attia
Department of Mechanical Engineering, Concordia University, Montreal, Quebec, Canada
M. O. M. Osman
Department of Mechanical Engineering, Concordia University, Montreal, Quebec, Canada
J. Manuf. Sci. Eng. Aug 1998, 120(3): 623-631 (9 pages)
Published Online: August 1, 1998
Article history
Received:
May 1, 1995
Revised:
June 1, 1997
Online:
January 17, 2008
Citation
Fraser, S., Attia, M. H., and Osman, M. O. M. (August 1, 1998). "Modelling, Identification and Control of Thermal Deformation of Machine Tool Structures, Part 1: Concept of Generalized Modelling." ASME. J. Manuf. Sci. Eng. August 1998; 120(3): 623–631. https://doi.org/10.1115/1.2830167
Download citation file:
Get Email Alerts
Related Articles
Modelling, Identification and Control of Thermal Deformation of Machine Tool Structures, Part 5: Experimental Verification
J. Manuf. Sci. Eng (August,1999)
Modelling, Identification and Control of Thermal Deformation of Machine Tool Structures, Part 2: Generalized Transfer Functions
J. Manuf. Sci. Eng (August,1998)
Control-Oriented Modeling of Thermal Deformation of Machine Tools Based on Inverse Solution of Time-Variant Thermal Loads with Delayed Response
J. Manuf. Sci. Eng (May,2004)
Dynamic Modeling for Machine Tool Thermal Error Compensation
J. Manuf. Sci. Eng (May,2003)
Related Proceedings Papers
Related Chapters
Applications for Operation
Pipeline System Automation and Control
Mechanical Measurements and Calibration
Metrology and Instrumentation: Practical Applications for Engineering and Manufacturing
Completing the Picture
Air Engines: The History, Science, and Reality of the Perfect Engine