Details

Title

Nonlinear Free Vibration Analysis of Micro-beams Resting on Viscoelastic Foundation Based on the Modified Couple Stress Theory

Journal title

Archive of Mechanical Engineering

Yearbook

2017

Numer

No 2

Publication authors

Divisions of PAS

Nauki Techniczne

Publisher

Polish Academy of Science, Committe of Machine Design

Date

2017

Identifier

ISSN 0004-0738, e-ISSN 2300-1895

References

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Park (2006), Bernoulli Euler beam model based on a modified couple stress theory http stacks iop org, Journal of Micromechanics and Microengineering, 19, 2355. ; Taati (2014), Size - dependent generalized thermoelasticity model for Timoshenko micro - beams based on strain gradient and non - Fourier heat conduction theories, Composite Structures, 13, 116, doi.org/10.1016/j.compstruct.2014.05.040 ; Zhang (2001), A study of the static characteristics of a torsional micromirror A :, Sensors and Actuators Physical, 2, 73, doi.org/10.1016/S0924-4247(01)00453-8 ; Ke (2012), Nonlinear free vibration of size - dependent functionally graded microbeams, International Journal of Engineering Science, 18, 256, doi.org/10.1016/j.ijengsci.2010.12.008 ; Toupin (1962), Elastic materials with couple - stresses for and, Archive Rational Mechanics Analysis, 9, 385, doi.org/10.1007/BF00253945 ; Reddy (2012), A nonlinear modified couple stress - based third - order theory of functionally graded plates, Composite Structures, 24, 1128, doi.org/10.1016/j.compstruct.2011.10.006 ; Yong (2013), Gang Wen Hui Nonlinear free vibration of a microscale beam based on modified couple stress theory : Low - dimensional Systems and Nanostructures, Physica E, 35, 80, doi.org/10.1016/j.physe.2012.10.020 ; Fleck (1994), Strain gradient plasticity : theory and experiment, Acta Metallurgica et Materialia, 5, 475, doi.org/10.1016/0956-7151(94)90502-9 ; Taati (2016), Analytical solutions for the size dependent buckling and postbuckling behavior of functionally graded micro - plates ijengsci, International Journal of Engineering Science, 27, 45. ; Ma (2008), A microstructure - dependent Timoshenko beam model based on a modified couple stress theory the and of, Journal of Mechanics Physics Solids, 22, 3379, doi.org/10.1016/j.jmps.2008.09.007 ; Yang (2002), Couple stress based strain gradient theory for elasticity and, International Journal of Solids Structures, 10, 2731, doi.org/10.1016/S0020-7683(02)00152-X ; Akgöz (2014), A new trigonometric beam model for buckling of strain gradient microbeams, International Journal of Mechanical Sciences, 32, 81, doi.org/10.1016/j.ijmecsci.2014.02.013 ; Tilmans (1994), Electrostatically driven vacuum - encapsulated polysilicon resonators : Part II Theory and performance A :, Sensors and Actuators Physical, 4, 67, doi.org/10.1016/0924-4247(94)00813-2 ; Zhao (2004), A reduced - order model for electrically actuated microplates, Journal of Micromechanics and Microengineering, 3, 900, doi.org/10.1088/0960-1317/14/7/009 ; Ansari (2014), Nonlinear vibration analysis of Timoshenko nanobeams based on surface stress elasticity theory of Mechanics A /, European Journal Solids, 34, 143, doi.org/10.1016/j.euromechsol.2013.11.002 ; Ke (2011), Size effect on dynamic stability of functionally graded microbeams based on a modified couple stress theory, Composite Structures, 17, 342, doi.org/10.1016/j.compstruct.2010.09.008 ; Molaei Najafabadi (2014), Tabrizi Optimization of functionally graded materials in the slab symmetrically surface heated using transient analytical solution, Journal of Thermal Stresses, 16, 137, doi.org/10.1080/01495739.2013.839617 ; Reddy (2007), Nonlocal theories for bending , buckling and vibration of beams, International Journal of Engineering Science, 12, 288, doi.org/10.1016/j.ijengsci.2007.04.004 ; Eringen (1972), Nonlocal polar elastic continua, International Journal of Engineering Science, 10, 1, doi.org/10.1016/0020-7225(72)90070-5 ; Asghari (2013), A size - dependent model for functionally graded micro - plates for mechanical analyses, Journal of Vibration and Control, 23, 1614, doi.org/10.1177/1077546312442563 ; Lam (2003), Experiments and theory in strain gradient elasticity the and of, Journal of Mechanics Physics Solids, 8, 1477, doi.org/10.1016/S0022-5096(03)00053-X ; Shafiei (2016), Nonlinear vibration of axially functionally graded tapered microbeams, International Journal of Engineering Science, 33, 12, doi.org/10.1016/j.ijengsci.2016.02.007

DOI

10.1515/meceng-2017-0015

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