INTERNAL RESONANCES AND BIFURCATIONS OF AN ARRAY BELOW THE FIRST PULL-IN INSTABILITY

DOI10.1142/S0218127410025910zbMath1193.74076MaRDI QIDQ3586799

Oded Gottlieb, Stefanie Gutschmidt

Publication date: 1 September 2010

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

zbMATH Keywords

chaotic dynamicsbifurcationinternal resonanceelectromechanical parametric actuationfirst pull-in instabilitymicrobeam array

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Micromechanics of solids (74M25) Bifurcation and buckling (74G60)

Related Items (5)

Nonlinear coupling of transverse modes of a fixed-fixed microbeam under direct and parametric excitation ⋮ Nonlinear damping in a micromechanical oscillator ⋮ Nonlinear dynamic behavior of a microbeam array subject to parametric actuation at low, medium and large DC-voltages ⋮ Chaotic vibrations of size-dependent flexible rectangular plates ⋮ NONAUTONOMOUS SADDLE-NODE BIFURCATION IN A CANONICAL ELECTROSTATIC MEMS

Cites Work

• Intrinsic localized modes in microresonator arrays and their relationship to nonlinear vibration modes
• BIFURCATION OF EQUILIBRIUM IN MICROMACHINED ELASTIC STRUCTURES WITH LIQUID INTERFACE
• Vibrations and Waves in Continuous Mechanical Systems
• Numerical Continuation of Bifurcations of Limit Cycles in MATLAB
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: INTERNAL RESONANCES AND BIFURCATIONS OF AN ARRAY BELOW THE FIRST PULL-IN INSTABILITY