Non-resonant non-planar free motions of inextensional non-compact beams
Résumé
Non-linear coupling phenomena of non-compact beams with comparable frequencies are studied in the absence of flexural internal resonance. Use is made of approximate, though consistent, partial differential equations which contain the terms of elastic interaction responsible for the stronger non-linear effects involving the torsional component. Upon assuming a one-mode approximation for each spatial variable and applying the Galerkin procedure, three ordinary equations are deduced, and an approximate solution in the absence of all resonances is accomplished via a perturbation technique. An extended investigation of the non-linear coupling is made for beams of open cross-sections with various boundary conditions, by varying some meaningful ratios of the natural frequencies of the beam.
Domaines
Génie civil
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Non-resonant_non-planar_free_motions_of_inextensional_non-compact_beams.pdf (918.75 Ko)
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