کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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291315 | 509758 | 2006 | 21 صفحه PDF | دانلود رایگان |
The two-mode nonlinear response of a suspended cable subjected to the primary resonance is investigated, and the three-to-one internal resonance is analyzed. Because the treatment of Galerkin discrete models of spatially continuous systems with initial curvature may lead to erroneous quantitative or even qualitative results, the method of multiple scales is applied to directly attack the nonlinear partial differential equation and the boundary conditions, which leads to the modulation equations for the primary resonance of either the first or third symmetric mode. The Newton–Raphson method and the pseudo-arclength scheme are used to obtain the frequency-response curves and force-response curves, and the dynamic solutions of the modulation equations are also investigated.
Journal: Journal of Sound and Vibration - Volume 294, Issues 4–5, July 2006, Pages 1073–1093