Analytical modeling and experimental verification for vibration of piezoelectric U-shaped AFM incorporating thermal loading and surface effect

DOI10.1080/17455030.2018.1504178OpenAlexW2885110571WikidataQ129408900 ScholiaQ129408900MaRDI QIDQ5104303

Ehsan Rezaei, Mohsen Namvar, Majid Ghadiri

Publication date: 9 September 2022

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2018.1504178

zbMATH Keywords

experimental validationmodified couple stress theorysurface elasticitysurface piezoelectricityatomic force microscopy probe

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Experimental work for problems pertaining to mechanics of deformable solids (74-05) Thermal effects in solid mechanics (74F05) Electromagnetic effects in solid mechanics (74F15)

Cites Work

• A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
• A continuum theory of elastic material surfaces
• Addenda to our paper: A continuum theory of elastic material surfaces
• Small-scale Timoshenko beam element
• Couple stress based strain gradient theory for elasticity
• An exact solution for vibrations of postbuckled microscale beams based on the modified couple stress theory
• A non-classical Timoshenko beam element for the postbuckling analysis of microbeams based on Mindlin's strain gradient theory