Anomalous dynamics response of nonlinear elastic bar

DOI10.1007/BF02459310zbMath0999.74064OpenAlexW2057308759MaRDI QIDQ1841450

Bingye Xu, Qiang Han, Gui-Tong Yang, Nian-Mei Zhang

Publication date: 28 February 2001

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459310

zbMATH Keywords

chaosmaterial nonlinearityheteroclinic orbitMelnikov methoddynamic systemsubharmonic bifurcationanomalous dynamics responsecritical tension velocityperiodic tension velocitytension bar

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Dynamical systems in solid mechanics (37N15) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcations, catastrophes and chaos in a pre-buckled beam
• Unnamed Item

This page was built for publication: Anomalous dynamics response of nonlinear elastic bar