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GEOMETRICAL NON-LINEAR, STEADY STATE, FORCED, PERIODIC VIBRATION OF PLATES, PART II: STABILITY STUDY AND ANALYSIS OF MULTI-MODAL RESPONSE

✍ Scribed by P RIBEIRO; M PETYT

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 554 KB
Volume: 226
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1999.2336

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✦ Synopsis

The steady state, geometrically non-linear, periodic vibration of rectangular thin plates under harmonic external excitations, is analyzed using the hierarchical "nite element and the harmonic balance methods. Modal coupling due to internal resonance is detected and the consequent multi-modal and multi-frequency response is demonstrated. The stability of the obtained solutions is investigated by studying the evolution of perturbations to the solutions and using Floquet's theory.

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