Abstract
For multispan beams of periodic structure with constant characteristics between supports we obtain closed-form expressions for the monodromy matrix and the characteristic equations for its eigenvalues. In the low-frequency approximation we establish bounds on the first zone of instability of parametric vibrations of a homogeneous multispan beam. Bibliography: 4 titles.
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Literature Cited
V. V. Bolotin,Dynamic Stability of Elastic Systems [in Russian], Moscow (1956).
V. A. Kisilev,Mechanical Engineering: A Special Course. Dynamics and Stability of Equipment [in Russian], Moscow (1980).
A. D. Myshkis,Mathematics for Higher Technical Institutes. Special Courses [in Russian], Moscow (1971).
I. M. Babakov,Theory of Vibrations [in Russian], Moscow (1965).
Additional information
Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 27, 1997, pp. 145–148.
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Shul’ga, O.M. Low-frequency vibrations of multispan beams of regular structure. J Math Sci 90, 1896–1898 (1998). https://doi.org/10.1007/BF02432835
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DOI: https://doi.org/10.1007/BF02432835