Dynamic stability of electrostatically actuated initially curved shallow micro beams

DOI10.1007/s00161-010-0149-6zbMath1234.74025OpenAlexW2139777466MaRDI QIDQ407672

J. Herrera, H. S. Yoon

Publication date: 27 March 2012

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-010-0149-6

zbMATH Keywords

dynamic stabilityphase planeshallow archeselectrostatic forcesnap-throughbistablitydynamic pull-insaddle-to-node bifurcation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Electromagnetic effects in solid mechanics (74F15)

Related Items (12)

Latching in bistable electrostatically actuated curved micro beams ⋮ Applicability and efficacy of Galerkin-based approximation for solving the buckling and dynamics of nanobeams with higher-order boundary conditions ⋮ High-order theory for arched structures and its application for the study of the electrostatically actuated MEMS devices ⋮ Prediction of chaos in electrostatically actuated arch micro-nano resonators: analytical approach ⋮ Bouncing and dynamic trapping of a bistable curved micro beam actuated by a suddenly applied electrostatic force ⋮ Nonlinear dynamics and snap-through regimes of a bistable buckled beam excited by an electromagnetic Laplace force ⋮ Dynamic release condition in latched curved micro beams ⋮ Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems ⋮ Application of nonlocal continuum theory to the primary resonance analysis of an axially loaded nano beam under time delay control ⋮ Analysis of Nonlinear Vibration and Instability of Electrostatically Actuated Fluid-Conveying Micro Beams ⋮ Symmetry Breaking Criteria in Electrostatically Loaded Bistable Curved/Prebuckled Micro Beams ⋮ AN IMPERFECT MICROBEAM UNDER AN AXIAL LOAD AND ELECTRIC EXCITATION: NONLINEAR PHENOMENA AND DYNAMICAL INTEGRITY

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• Sequences of orbits and the boundaries of the basin of attraction for two double heteroclinic orbits
• Chaotic motion in a micro-electro-mechanical system with nonlinearity from capacitors
• Reduced-order models for MEMS applications
• Transition waves in bistable structures. I: Delocalization of damage
• Transition waves in bistable structures. II: Analytical solution: wave speed and energy dissipation
• The MATLAB ODE Suite
• Experiment and Analysis on the Free Dynamics of a Shallow Arch After an Impact Load at the End
• Buckling Experiments: Experimental Methods in Buckling of Thin‐Walled Structures

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