Dynamics of electrostatic microelectromechanical systems actuators

DOI10.1063/1.3684748zbMath1274.74050arXiv1201.5439OpenAlexW1977847933MaRDI QIDQ2861712

Yisong Yang, Le Zhao, Rui-feng Zhang

Publication date: 11 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5439

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Electromagnetic effects in solid mechanics (74F15) Micromechanical theories (74A60) Technical applications of optics and electromagnetic theory (78A55) Electro- and magnetostatics (78A30) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items

Critical pull-in curves of MEMS actuators in presence of Casimir force, Stationary solutions to a nonlocal fourth-order elliptic obstacle problem, Long-time dynamics for a nonlinear viscoelastic Kirchhoff plate equation, On the stability of periodic solutions with defined sign in MEMS via lower and upper solutions, Reinforced limit of a MEMS model with heterogeneous dielectric properties, On the semilinear elliptic equations of electrostatic NEMS devices

Cites Work

• On a general family of nonautonomous elliptic and parabolic equations
• Multiplicity of solutions for a fourth order equation with power-type nonlinearity
• On the critical dimension of a fourth order elliptic problem with negative exponent
• Dynamical Solutions of Singular Wave Equations Modeling Electrostatic MEMS
• On a Fourth Order Nonlinear Elliptic Equation with Negative Exponent
• Direct and inverse problems related to MEMS
• Nonlinear non-local elliptic equation modelling electrostatic actuation
• Unnamed Item