BIFURCATIONS AT COMBINATION RESONANCE AND QUASIPERIODIC VIBRATIONS OF FLEXIBLE BEAMS

K V Avramov

doi:10.1023/a:1027472917775

Abstract

The nonlinear dynamic behavior of flexible beams is described by nonlinear partial differential equations. The beam model accounts for the tension of the neutral axis under vibrations. The Bubnov–Galerkin method is used to derive a system of ordinary differential equations. The system is solved by the multiple-scale method. A system of modulation equations is analyzed

Highlights

Konstantin AvramovHAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not
Nonlinear dynamics of continuum systems is still one of the most complicated divisions of mechanics [2, 4, 5, 7, 11, 12]
The nonlinear dynamic behavior of flexible beams is described by nonlinear partial differential equations

Summary

Konstantin Avramov

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. BIFURCATIONS AT COMBINATION RESONANCE AND QUASIPERIODIC VIBRATIONS OF FLEXIBLE BEAMS. The nonlinear dynamic behavior of flexible beams is described by nonlinear partial differential equations. The beam model accounts for the tension of the neutral axis under vibrations. The Bubnov–Galerkin method is used to derive a system of ordinary differential equations.

Introduction

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