Stability and Bifurcation in Discrete Mechanical Systems: An Experimental and Analytical Study

DOI10.1142/S0218127420300244zbMath1471.74032OpenAlexW3048058580MaRDI QIDQ5120519

Yue Guan, Lawrence N. Virgin

Publication date: 15 September 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420300244

zbMATH Keywords

multiple equilibriaparametric excitationindex-1 saddleiso-potentialsnap-through tube

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Vibrations in dynamical problems in solid mechanics (74H45) Experimental work for problems pertaining to mechanics of deformable solids (74-05) Stability of dynamical problems in solid mechanics (74H55) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (2)

A pyramidal lattice frame: pathways to inversion ⋮ A Practice-Oriented Bifurcation Analysis for Pulse Energy Converters. Part 5: A View Towards the Future

Cites Work

• Unnamed Item
• Unnamed Item
• Frequency-domain and time-domain methods for feedback nonlinear systems and applications to chaos control
• Nonlinear dynamics of a three-beam structure with attached mass and three-mode interactions
• The nonlinear response of a slender beam carrying a lumped mass to a principal parametric excitation: Theory and experiment
• Three-mode interaction in harmonically excited system with cubic nonlinearities.
• Response statistics of three-degree-of-freedom nonlinear system to narrow-band random excitation
• Analytical and experimental investigations of a space antenna system of four DOFs with internal resonances
• Qualitative analysis of the Rössler equations: bifurcations of limit cycles and chaotic attractors
• Studies on bifurcation and chaos of a string-beam coupled system with two degrees-of-freedom
• Multi-pulse chaotic dynamics of six-dimensional non-autonomous nonlinear system for a composite laminated piezoelectric rectangular plate
• Nonlinear forced vibrations of thin structures with tuned eigenfrequencies: the cases of 1:2:4 and 1:2:2 internal resonances
• Equilibrium configurations of a shallow arch of arbitrary shape and their dynamic stability character
• A magnetoelastic strange attractor
• PERIODIC AND CHAOTIC OSCILLATIONS OF A COMPOSITE LAMINATED PLATE USING THE THIRD-ORDER SHEAR DEFORMATION PLATE THEORY
• NINETY PLUS THIRTY YEARS OF NONLINEAR DYNAMICS: LESS IS MORE AND MORE IS DIFFERENT
• Multipulse Chaotic Dynamics of Six-Dimensional Nonautonomous Nonlinear System for a Honeycomb Sandwich Plate

This page was built for publication: Stability and Bifurcation in Discrete Mechanical Systems: An Experimental and Analytical Study