Vibrations of non-uniform functionally graded MWCNTs-polystyrene nanocomposite beams under action of moving load |
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| Affiliation: | 1. Department of Mechanical Engineering, Razi University, Kermanshah, Iran;2. Department of Mechanical Engineering, Kermanshah University of Technology, Kermanshah, Iran;1. Department of Civil Engineering, University of Bechar, Bechar 08000, Algeria;2. Laboratory of Materials and Hydrology (LMH), University of Sidi Bel Abbes, Sidi Bel Abbes 2200, Algeria;3. Mechanics Laboratory of Lille, CNRS UMR 8107, University of Lille 1, 59655 Villeneuve d’Ascq, France;4. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;5. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt;1. Department of Mechanical Engineering Madan Mohan Malaviya University of Technology, Gorakhpur(U.P)-273010, India;2. Department of Mechanical Engineering, GLA University, Mathura (U.P)- 281406, India;1. Department of Mechanical Engineering, Iowa State University, Ames, IA 50011, USA;2. King AbdulAziz University, Department of Mechanical Engineering, Western Province, Jeddah 21511, Saudi Arabia;3. Department of Mechanical Engineering, St. Cloud State University, St. Cloud, MN, USA;4. Division of Production and Materials Engineering, Lund University, Lund 22363, Sweden;5. Department for Synthesis and Sintering of Superhard Materials, V.N. Bakul Institute for Superhard Materials, National Academy of Science of Ukraine, Kiev 04074, Ukraine;1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt;3. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt;4. Department of Mechanical Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia;5. Laboratory of Mechanics and Materials, Polytechnic School, Aristotle University of Thessaloniki, Thessaloniki GR-54124, Greece;6. Department of Mathematics, College of Science and Arts, University of Aljouf, El-Qurayat, Saudi Arabia;1. Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran;2. Institute of Nanoscience & Nanotechnology University of Kashan, Kashan, Iran;1. University of Bechar, LMS, Algeria;3. Ecole Normal Supérieure, LMT-cachan, France |
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| Abstract: | Free and forced vibrations of non-uniform functionally graded multi-walled carbon nanotubes (MWCNTs)-polystyrene nanocomposite beams are investigated via Timoshenko beam theory. Different MWCNTs distributions in the thickness direction are introduced to improve fundamental natural frequency and dynamic behavior of non-uniform polymer composite beam under action of moving load. So, linear distribution patterns of carbon nanotubes (CNTs) in the thickness direction which can readily be achieved in practice are studied. The effects of shear deformation, rotary inertia, non-uniformity of the cross-section are also considered in the formulation. The finite element method is employed to obtain a numerical approximation of the motion equation. The non-uniform beam is approximated by another beam consisting of n elements with piecewise constant thickness so that the volume remains constant for each element. The effects of non-uniformity parameters, material distributions, velocity of the moving load and boundary conditions on the dynamic behavior are investigated. It is found that the symmetrical linear distribution of MWCNTs results in an increase in the fundamental natural frequency of nanocomposite beams which are higher than those of beams with uniform and unsymmetrical MWCNTs distributions. |
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