"Three lumped parameter model representations of the one-dimensional uniform continuous system in a vibration state are examined. The exact (continuous) solutions were used as a reference to evaluate the accuracy of the results obtained via these discrete element models. The model comparisons, carried out for both the principal modes and the systems under forced excitations, are based on the maximum strain energy. The effect of varying the number of segments in the model representation showed improvement in approximating the exact strain energy solution as the number of segments was increased. In general, the results of the model comparisons based on maximum strain energy were consistent with previous comparisons made on the basis of frequency root errors"--Abstract, page ii.
Rocke, R. D. (Richard Dale), 1938-
Barker, Clark R.
Cunningham, Floyd M.
Mechanical and Aerospace Engineering
M.S. in Mechanical Engineering
National Science Foundation (U.S.)
University of Missouri--Rolla
x, 83 pages
© 1969 Suresh Kumar Tolani, All rights reserved.
Thesis - Open Access
Vibration -- Mathematical models
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Tolani, Suresh Kumar, "A comparison of lumped parameter models commonly used to describe one-dimensional vibration problems" (1969). Masters Theses. 5379.