TECHNICAL PAPERS
Oct 1, 1989

Economical Analysis of Combined Dynamical Systems

Publication: Journal of Engineering Mechanics
Volume 115, Issue 10

Abstract

Exact modal analysis of structural systems, each consisting of a beam and various spring/mass oscillators, is presented. The Nicholson and Bergman mathematical model for such systems is considered, but altered by use of the particular integral approach to solve the model in favor of using Green's function. This alteration leads to a computer implementation of the model that runs significantly faster than the Green's function implementation in cases where the number of oscillators is sufficienfly large, and it exhibits a reduced tendency to erroneously predict nonexistent closely packed frequencies.

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References

1.
Broome, T. H. (1977). “The VIBIC1 computer program,” paper presented at the 49th Annual Convention of the National Technical Association, Hampton, Va., Aug.
2.
Dokainish, A., and Kumar, R. (1972). “Transverse beam vibrations—Nonlinear constraint.” J. Engrg. Mech., 98(6), 138–139.
3.
Dowell, E. H. (1979). “On some general properties of combined dynamical systems.” J. Appl. Mech., 46, 206–209.
4.
Leach, R. (1985). “On Gelbaum's algorithm for computing the minimal polynomial of a matrix.” Am. Math. Mon., 92(3).
5.
Lee, W. F. Z., and Saibel, E. (1952). “Free vibrations of constrained beams.” J. Appl. Mech., 19, 471–477.
6.
Liverman, T. P. G. (1964). Generalized functions and direct operational methods: Vol. I. Prentice‐Hall, Englewood Cliffs, N.J., 90–141, 324.
7.
Nicholson, J. W., and Bergman, L. A. (1986a). “Free vibration of combined dynamical systems.” J. Engrg. Mech., 112(1), 1–13.
8.
Nicholson, J. W., and Bergman, L. A. (1986b). “Vibration of damped plate‐oscillator systems.” J. Engrg. Mech., 112(2), 14–30.
9.
Nour‐Omid, B., et al. (1983a). “Modal characterization of equipment continuous stracture systems.” J. Sound Vib., 88, 459–472.
10.
Rektorys, K., ed. (1969). Survey of applicable mathematics. The M.I.T. Press, Massachusetts Institute of Technology, Cambridge, Mass., 811–814.
11.
Strassen, V. (1969). “Gaussian elimination is not optimal.” Num. Math., 13, 354–356.
12.
Wittrick, W. H., and Williams, F. W. (1982). “On the free vibration analysis of spinning structures by using discrete or distributed mass models.” J. Sound Vib., 82(1), 1–15.
13.
Young, D. (1952). “Theory of dynamic vibration absorbers for beams.” Proc. First U.S. Nat. Congress on Applied Mechanics, 91–96.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 115Issue 10October 1989
Pages: 2122 - 2135

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Published online: Oct 1, 1989
Published in print: Oct 1989

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Taft H. Broome, Jr., Member, ASCE
Assoc. Prof. and Dir., Large Space Structures Inst., Howard Univ., Washington, D.C. 20059

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