Dynamic Acceptance Test for Machine Tools Based on a Nonlinear Stochastic Model

[+] Author and Article Information
M. Samaha, T. S. Sankar

Department of Mechanical Engineering, Concordia University, Montreal, Quebec, Canada

J. Mech. Des 102(1), 58-63 (Jan 01, 1980) (6 pages) doi:10.1115/1.3254722 History: Received May 29, 1979; Online November 17, 2009


A nonlinear two-degree-of-freedom mathematical model of a general machine tool is considered for describing the responses in translational and rotational modes under the action of the actual randomly fluctuating metal cutting forces in a Gaussian, wide band form. The response process is determined by the Fokker-Planck technique for the simplified case and also by the statistical linearization method for the general case to establish accuracy of the results obtained. Based on the variances of the response derived and the system constants, a dynamic stiffness coefficient Kd is proposed for defining the degree of acceptance of a given machine tool under actual cutting conditions. Numerical results for specific examples are provided for purpose of illustration.

Copyright © 1980 by ASME
Your Session has timed out. Please sign back in to continue.





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