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Non-planar, non-linear oscillations of a beam—I. Forced motions

✍ Scribed by C.-H. Ho; R.A. Scott; J.G. Eisley


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
959 KB
Volume
10
Category
Article
ISSN
0020-7462

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In this paper we present a mixed ''multiple time scale -harmonic balance'' (MHB) method for a quite general non-linear oscillations problem subject to a periodic force. The MHB differs from the more traditional multiple time scale (MS) method in that it uses two separate procedures for the solutions

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Non-linear oscillations of a beam subjected to a periodic force at a combination resonance are considered. Using the Galerkin method, a partial differential equation of oscillations is reduced to a system of ordinary differential equations with a small parameter. A system of three autonomous differe