A Study of Dynamic Instability of Plates by an Extended Incremental Harmonic Balance Method

DOI10.1115/1.3169123zbMath0568.73053OpenAlexW2071364387MaRDI QIDQ3685318

Christophe Pierre, Earl. H. Dowell

Publication date: 1985

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3169123

zbMATH Keywords

algorithmviscous dampingdirect time integrationdynamic instabilitymodal analysisEuclidean normnonlinear equations of motiongeometric nonlinearitiesincremental harmonic balance methodinstability regionshigh degree of accuracynonlinear Mathieu equationnonlinear differential equation with variable coefficientscharacterization of the parametric vibrationequation system obtained by the incremental methodone spatial modetemporal harmonicstotal amplitude

Mathematics Subject Classification ID

Plates (74K20) Stability of dynamical problems in solid mechanics (74H55) Fracture and damage (74R99) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Waves in solid mechanics (74J99)

Related Items (4)

Parametric resonance of shear deformable nanotubes: a novel higher-order model incorporating nonlinearity from both curvature and inertia ⋮ Primary resonance of multiple degree-of-freedom dynamic systems with strong non-linearity using the homotopy analysis method ⋮ Linearized Galerkin and artificial parameter techniques for the determination of periodic solutions of nonlinear oscillators ⋮ Chaos in mechanical systems -- a review

This page was built for publication: A Study of Dynamic Instability of Plates by an Extended Incremental Harmonic Balance Method