Combination and principal parametric resonances of axially accelerating viscoelastic beams: Recognition of longitudinally varying tensions

• Published in: Journal of sound and vibration Vol. 330; no. 23; pp. 5598 - 5614
• Main Authors: Chen, Li-Qun, Tang, You-Qi
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 07.11.2011; Elsevier
• Subjects: Axial stress; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Mathematical analysis; Mathematical models; Method of multiple scales; Nonlinearity; Physics; Rigidity; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Vibration; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Viscoelasticity; Constitutive equation; Viscoelasticity; Parametric excitation; Mode coupling; Axial speed; Random excitation; Parametric resonance; Modeling; Steady state; Varying speed; Quadrature; Multiscale method; Hamiltonian mechanics; Frequency response; Non linear effect; Strip material; Differential method; Integrodifferential equation; Stretching; Random vibration; Bending vibration; Mechanical tension

Nonlinear parametric vibration is investigated for axially accelerating viscoelastic beams subject to parametric excitations resulting from longitudinally varying tensions and axial speed fluctuations. The effects of the longitudinally varying tension due to the axial acceleration are highlighted, w...