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On a theory concerning the dynamical behavior of structures carrying moving masses

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Summary

Two new methods are presented in order to determine the behavior of a structure carrying moving masses. The first method is analytic in nature and represents a modified asymptotic method in the theory of nonlinear phenomena. The second method is an exact numerical technique general enough to be used for solving exactly a set of differential equations with singular coefficients.

The results show that the analytical method is in excellent agreement with the exact one obtained by means of a numerical technique. Furthermore, it is shown that the effect of the response of the structure to the moving mass has to be properly considered.

Übersicht

Es werden zwei neue Methoden zum Bestimmen des Verhaltens von Strukturen mit bewegten Massen behandelt. Die erste Methode trägt analytischen Charakter und kann als eine Modifikation der asymptotischen Methode der Theorie nichtlinearer Schwingungen betrachtet werden. Die zweite Methode basiert auf einer exakten numerischen Integration. Sie ist allgemein genug, um das beschreibende System gewöhnlicher Differentialgleichungen exakt zu lösen. Ein Vergleich der Ergebnisse zeigt, daß ausgezeichnete Übereinstimmung erreicht wird. Die Auswertungen zeigen, daß die Einwirkung des Struktur-Verhaltens auf die bewegte Massc berücksichtigt werden muß.

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Authors and Affiliations

  1. School of Aeronautics and Astronautics, Pardue University, 47907, West Lafayette, Indiana, USA

    M. M. Stanišić

  2. Applied Advance Technology, Inc., 47906, West Lafayette, Indiana, USA

    J. A. Euler (Senior Scientist) & S. T. Montgomery Graduate Student

Authors
  1. M. M. Stanišić
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  2. J. A. Euler
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  3. S. T. Montgomery Graduate Student
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Stanišić, M.M., Euler, J.A. & Montgomery, S.T. On a theory concerning the dynamical behavior of structures carrying moving masses. Ing. arch 43, 295–305 (1974). https://doi.org/10.1007/BF00537218

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  • DOI: https://doi.org/10.1007/BF00537218

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