### THERMAL EFFECT ON FREE VIBRATION AND BUCKLING OF A DOUBLE-MICROBEAM SYSTEM

**DOI Number**

**First page**

**Last page**

#### Abstract

#### Keywords

#### Full Text:

PDF#### References

Lam, D. C. C., Yang, F., Chong, A. C. M., Wang, J., Tong, P., 2003, Experiments and theory in strain gradient elasticity, Journal of the Mechanics and Physics of Solids, 51(8), pp. 1477-1508.

Gallacher, B. J., Burdess, J. S., Harish, K. M., 2006, A control scheme for a MEMS electrostatic resonant gyroscope excited using combined parametric excitation and harmonic forcing, Journal of Micromechanics and Microengineering, 16(2), 320.

Kacem, N., Baguet, S., Hentz, S., Dufour, R., 2011, Computational and quasi-analytical models for non-linear vibrations of resonant MEMS and NEMS sensors, International Journal of Non-Linear Mechanics, 46(3), pp. 532-542.

Harish, K. M., Gallacher, B. J., Burdess, J. S., Neasham, J. A., 2009, Experimental investigation of parametric and externally forced motion in resonant MEMS sensors, Journal of Micromechanics and Microengineering, 19(1), 015021.

Magrab, E. B., 2012, Vibrations of Elastic Systems: With Applications to MEMS and NEMS, Vol. 184, Springer.

Ilic, B., Krylov, S., Bellan, L. M., Craighead, H. G., 2007, Dynamic characterization of nanoelectromechanical oscillators by atomic force microscopy, Journal of applied physics, 101(4), 044308.

Hasanyan, DJ., Batra RC., Harutyunyan S., 2008, Pull-in instabilities in functionally graded microthermoelectromechanical systems, J Thermal Stress, 31, pp1006–1021.

Rahaeifard, M., Kahrobaiyan, M. H., Ahmadian, M. T., 2009, Sensitivity analysis of atomic force microscope cantilever made of functionally graded materials, 3rd international conference on micro-and nanosystems (MNS3), San Diego (CA, USA), In: DETC 2009-86254.

Mindlin, R. D., Eshel, N. N., 1968, On first strain-gradient theories in linear elasticity, International Journal of Solids and Structures, 4(1), pp. 109-124.

Wang, B., Zhao, J., Zhou, S., 2010, A micro scale Timoshenko beam model based on strain gradient elasticity theory, European Journal of Mechanics-A/Solids, 29(4), pp. 591-599.

Lazopoulos, K. A., Lazopoulos, A. K., 2010, Bending and buckling of thin strain gradient elastic beams, European Journal of Mechanics-A/Solids, 29(5), pp. 837-843.

Peddieson, J., Buchanan, G. R., McNitt, R. P., 2003, Application of nonlocal continuum models to nanotechnology, International Journal of Engineering Science, 41(3), pp. 305-312.

Eringen, A. C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics, 54(9), pp. 4703-4710.

Reddy, J. N., 2007, Nonlocal theories for buckling bending and vibration of nanobeams, International Journal of Engineering Science, 45, pp. 288–307.

Reddy, J. N., 2002, Energy principles and variational methods in applied mechanics, 2nd ed. New York: John Wiley and Sons.

Reddy, J. N., 2008, An introduction to continuum mechanics with applications, New York, Cambridge University Press.

Reddy, J. N., 2011, Microstructure-dependent couple stress theories of functionally graded beams, Journal of the Mechanics and Physics of Solids, 59(11), pp. 2382-2399.

Park, S. K., Gao, X. L., 2006, Bernoulli–Euler beam model based on a modified couple stress theory, Journal of Micromechanics and Microengineering, 16(11), 2355.

Ma, H. M., Gao, X. L., Reddy, J. N., 2008, A microstructure-dependent Timoshenko beam model based on a modified couple stress theory, Journal of the Mechanics and Physics of Solids, 56(12), pp. 3379-3391.

Nateghi, A., Salamat-talab, M., Rezapour, J., Daneshian, B., 2012, Size dependent buckling analysis of functionally graded micro beams based on modified couple stress theory, Applied Mathematical Modelling, 36(10), pp. 4971-4987.

Bekir, A., Civalek, Ö., 2011, Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams, International Journal of Engineering Science, 49(11), pp. 1268-1280.

Şimşek, M., Reddy, J. N., 2013, A unified higher order beam theory for buckling of a functionally graded microbeam embedded in elastic medium using modified couple stress theory, Composite Structures, 101, pp. 47-58.

Hendou, R. H., Mohammadi, A.K., 2014, Transient analysis of nonlinear Euler–Bernoulli micro-beam with thermoelastic damping, via nonlinear normal modes, Journal of Sound and Vibration, 333(23), pp. 6224-6236.

Ke, L. L., Wang, Y. S., Wang, Z. D., 2011, Thermal effect on free vibration and buckling of size-dependent microbeams, Physica E: Low-dimensional Systems and Nanostructures, 43(7), pp. 1387-1393.

Dutta S. C., Roy R., 2002, A critical review on idealization and modeling for interaction among soil–foundation–structure system, Computers and Structures, 80(1), pp. 1579–159.

Mindlin, R. D., 1963, Influence of couple-stresses on stress concentrations. Experimental mechanics, 3(1), pp. 1-7.

Mindlin, R. D., Tiersten, H. F., 1962, Effects of couple-stresses in linear elasticity, Archive for Rational Mechanics and Analysis, 11(1), pp. 415-448.

Toupin, R. A., 1962, Elastic materials with couple-stresses, Archive for Rational Mechanics and Analysis, 11(1), pp. 385-414.

Koiter, W. T., 1964, Couple-stresses in the theory of elasticity: I and II, Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, B67, pp. 17–44.

Yang, F. A. C. M., Chong, A. C. M., Lam, D. C. C., Tong, P., 2002, Couple stress based strain gradient theory for elasticity. International Journal of Solids and Structures, 39(10), pp. 2731-2743.

Karličić, D., Kozić, P., Pavlović, R., 2014, Free transverse vibration of nonlocal viscoelastic orthotropic multi-nanoplate system (MNPS) embedded in a viscoelastic medium, Composite Structures, 115, pp. 89-99.

Karličić, D., Cajić, M., Kozić, P., Pavlović, I., 2015, Temperature effects on the vibration and stability behaviour of multi-layered graphene sheets embedded in an elastic medium, Composite Structures, 131, pp. 672-681.

Murmu, T., Adhikari, S., 2010, Nonlocal transverse vibration of double-nanobeam-systems, Journal of Applied Physics, 108(8), p. 083514.

Murmu, T., Adhikari, S., 2010, Nonlocal effects in the longitudinal vibration of double-nanorod systems, Physica E: Low-dimensional Systems and Nanostructures, 43(1), pp. 415-422.

Murmu, T., Adhikari, S., 2011, Axial instability of double-nanobeam-systems, Physics Letters A, 375(3), pp. 601-608.

DOI: http://dx.doi.org/10.22190/FUME161115007S

### Refbacks

- There are currently no refbacks.

ISSN: 0354-2025 (Print)

ISSN: 2335-0164 (Online)

COBISS.SR-ID 98732551

ZDB-ID: 2766459-4