Nonlinear vibration of an elastic soft string: large amplitude and large curvature

DOI10.1155/2018/7909876zbMath1427.74062OpenAlexW2883972935MaRDI QIDQ1721441

Jian-Lin Liu, De-Min Zhao, Shan-Peng Li, Yun Zhang

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/7909876

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05)

Cites Work

• Unnamed Item
• Unnamed Item
• On the large amplitude free vibrations of tapered beams: an analytical approach
• Analytical approximate solutions to large amplitude vibration of a spring-hinged beam
• Nonlinear dynamics of an elastic cable under planar excitation
• A finite strain beam formulation. The three-dimensional dynamic problem. I
• Large-amplitude vibrations of nanowires with dissipative surface stress effects
• Variational approach for nonlinear oscillators
• A new method for the modeling of geometric nonlinearities in structures
• The Non-linear Equations of Motion of Pipes Conveying Fluid
• The Method of Normal Forms
• COMPLEX NORMAL FORM FOR STRONGLY NON-LINEAR VIBRATION SYSTEMS EXEMPLIFIED BY DUFFING–VAN DER POL EQUATION

This page was built for publication: Nonlinear vibration of an elastic soft string: large amplitude and large curvature