Modified couple stress flexural-flexural quasi-static pull-in analysis of large deformable cantilever-based micro-gyroscopes

DOI10.1016/j.cnsns.2022.106933zbMath1506.74168OpenAlexW4306173849MaRDI QIDQ2108688

Amir R. Askari, Jan Awrejcewicz

Publication date: 20 December 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106933

zbMATH Keywords

Ritz methodlinear mode shapemodified couple stress theoryGreen-Lagrange strain tensornon-planar quasi-static motion

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Motion of the gyroscope (70E05)

Cites Work

• The oscillatory behavior, static and dynamic analyses of a micro/nano gyroscope considering geometric nonlinearities and intermolecular forces
• A nonlinear Timoshenko beam formulation based on the modified couple stress theory
• Size-dependent performance of microgyroscopes
• A size-dependent model for coupled 3D deformations of nonlinear microbridges
• Couple stress based strain gradient theory for elasticity
• Stability analysis of electrostatically actuated nano/micro-beams under the effect of van der Waals force, a semi-analytical approach
• A frequency criterion for doubly clamped beam-type N/MEMS subjected to the van der Waals attraction
• Size-dependent dynamic pull-in analysis of beam-type MEMS under mechanical shock based on the modified couple stress theory
• Reduced-order models for MEMS applications
• OSCILLATORY BEHAVIOR OF AN ELECTROSTATICALLY ACTUATED MICROCANTILEVER GYROSCOPE
• Elasticity with MATHEMATICA^®
• Novel Superfluids

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