RESEARCH PAPERS: Design Automation Papers

Design of Machine-Tools: The Random Response Calculations of Machine Tools Subjected to Stochastic Excitations Using Dynamic Condensation Technique

[+] Author and Article Information
A. M. Sharan, V. R. Reddy

Memorial University of Newfoundland, St. John’s, Newfoundland, Canada A1B 3X5

J. Mech., Trans., and Automation 108(2), 145-151 (Jun 01, 1986) (7 pages) doi:10.1115/1.3260795 History: Received May 06, 1985; Online November 19, 2009


The response spectral density is an important parameter which should be examined by a machine-tool analyst. A new approach for the calculation of response spectral density for a linear stationary random multi-degree-of-freedom system is presented. This method is based on condensing the system matrices and introducing a set of auxiliary variables. The response spectral density matrix obtained by using this new approach contains the spectral densities and the cross-spectral densities of the master degrees-of-freedom chosen. The new method requires significantly less computation time, as compared to conventional methods, for calculating response spectral densities associated with the selected number of degrees of freedom. To compare the computation time, three numerical examples are presented.

Copyright © 1986 by ASME
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