Wave propagation analysis of a size-dependent magneto-electro-elastic heterogeneous nanoplate
作者： Farzad Ebrahimi , Ali Dabbagh , Mohammad Reza Barati
DOI: 10.1140/EPJP/I2016-16433-7
关键词: Wave propagation 、 Plate theory 、 Material properties 、 Physics 、 Classical mechanics 、 Magnetic potential 、 Magneto 、 Dispersion (water waves) 、 Wavenumber 、 Phase (waves) 、 Mechanics
摘要: The analysis of the wave propagation behavior a magneto-electro-elastic functionally graded (MEE-FG) nanoplate is carried out in framework refined higher-order plate theory. In order to take into account small-scale influence, nonlocal elasticity theory Eringen employed. Furthermore, material properties are considered be variable through thickness based on power-law form. Nonlocal governing equations MEE-FG have been derived using Hamilton's principle. results present study validated by comparing them with previous researches. An analytical solution performed obtain frequencies, phase velocities and escape frequencies. effect different parameters, such as number, parameter, gradient index, magnetic potential electric voltage dispersion characteristics nanoscale plates studied detail.
springer.com
harvard.edu
epj.org
sci-hub.se 参考文章(58)
S.C. Kattimani, M.C. Ray, Control of geometrically nonlinear vibrations of functionally graded magneto-electro-elastic plates International Journal of Mechanical Sciences. ,vol. 99, pp. 154- 167 ,(2015) , 10.1016/J.IJMECSCI.2015.05.012
Alireza Daneshmehr, Amir Rajabpoor, Amin Hadi, Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories International Journal of Engineering Science. ,vol. 95, pp. 23- 35 ,(2015) , 10.1016/J.IJENGSCI.2015.05.011
R. Ansari, M. Faghih Shojaei, A. Shahabodini, M. Bazdid-Vahdati, Three-dimensional bending and vibration analysis of functionally graded nanoplates by a novel differential quadrature-based approach Composite Structures. ,vol. 131, pp. 753- 764 ,(2015) , 10.1016/J.COMPSTRUCT.2015.06.027
Li Li, Yujin Hu, Ling Ling, Flexural wave propagation in small-scaled functionally graded beams via a nonlocal strain gradient theory Composite Structures. ,vol. 133, pp. 1079- 1092 ,(2015) , 10.1016/J.COMPSTRUCT.2015.08.014
Belaїd Mechab, Ismail Mechab, Samir Benaissa, Mohammed Ameri, Boualem Serier, None, Probabilistic analysis of effect of the porosities in functionally graded material nanoplate resting on Winkler–Pasternak elastic foundations Applied Mathematical Modelling. ,vol. 40, pp. 738- 749 ,(2016) , 10.1016/J.APM.2015.09.093
Sihame Ait Yahia, Hassen Ait Atmane, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, None, Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories Structural Engineering and Mechanics. ,vol. 53, pp. 1143- 1165 ,(2015) , 10.12989/SEM.2015.53.6.1143
Farzad Ebrahimi, Majid Ghadiri, Erfan Salari, Seied Amir Hosein Hoseini, Gholam Reza Shaghaghi, Application of the differential transformation method for nonlocal vibration analysis of functionally graded nanobeams Journal of Mechanical Science and Technology. ,vol. 29, pp. 1207- 1215 ,(2015) , 10.1007/S12206-015-0234-7
A. Cemal Eringen, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves Journal of Applied Physics. ,vol. 54, pp. 4703- 4710 ,(1983) , 10.1063/1.332803
J.L. Mantari, E.M. Bonilla, C. Guedes Soares, A new tangential-exponential higher order shear deformation theory for advanced composite plates Composites Part B-engineering. ,vol. 60, pp. 319- 328 ,(2014) , 10.1016/J.COMPOSITESB.2013.12.001
Yi-Ze Wang, Feng-Ming Li, Kikuo Kishimoto, Scale effects on the longitudinal wave propagation in nanoplates Physica E: Low-dimensional Systems and Nanostructures. ,vol. 42, pp. 1356- 1360 ,(2010) , 10.1016/J.PHYSE.2009.11.036