RESEARCH PAPERS: System Response

Dynamic Analysis and Optimal Selection of Parameters of a Finite Element Modeled Lathe Spindle Under Random Cutting Forces

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

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

J. Vib., Acoust., Stress, and Reliab 105(4), 467-475 (Oct 01, 1983) (9 pages) doi:10.1115/1.3269130 History: Received January 17, 1983; Online November 23, 2009


The dynamic analysis of an elastically supported lathe spindle-workpiece system subjected to random cutting forces is presented. The stochastic partial differential equation characterizing the behavior of the system was formulated from the Euler-Bernouli equation. Based on free vibration analysis and experimental verification of the natural frequencies, the hinged boundary condition was considered for the running center. A finite element technique in conjunction with the modal analysis method were used to calculate the mean square displacement of the workpiece. The experimentally calculated power spectral density of the cutting forces was used as the input excitation to the mathematical model. The effect of bearing stiffness and damping, and bearing spacing on the mean square displacement were studied. A direct search optimization technique was carried out to select optimal bearing stiffness and the bearing spacing. Results are presented in the form of plots and tables.

Copyright © 1983 by ASME
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