2D optimum distribution of carbon nanotubes to maximize fundamental natural frequency of polymer composite micro-beams |
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| Authors: | Hossein Rokni Abbas S. Milani Rudolf J. Seethaler |
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| Affiliation: | 1. School of Astronautics & Aeronautics, University of Electronic Science and Technology of China, Chengdu 610054, China;2. State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China;1. IDIT-Departamento de Estructuras, Universidad Nacional de Córdoba and CONICET, Av. Velez Sarsfield 1611, 5016 Córdoba, Argentina;2. CIMNE International Center for Numerical Method Engineering, Spain;3. UPC, Technical University of Catalonia (Barcelona Tech), Edif. C1, Campus Nord, Jordi Girona 1–3, 08034 Barcelona, Spain;4. Facultad de Ingeniería, INIQUI (CONICET), Universidad Nacional de Salta, Av. Bolivia 5150, 4400 Salta, Argentina;1. Asst Professor, Hindustan University,, OMR, Padur, Chennai,India-603103;2. Professor, Hindustan University, OMR, Padur, Chennai, India-603103;1. Departments of Astronomy, Harvard University, 20 Oxford St., Cambridge 02138, MA, USA;2. Earth and Planetary Sciences, Harvard University, 20 Oxford St., Cambridge 02138, MA, USA;3. Harvard-Smithsonian Center for Astrophysics, 60 Garden St., Cambridge 02138, MA, USA;4. Sandia National Laboratories, P.O. Box 5800, Albuquerque 87185-1185, NM, USA |
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| Abstract: | A new two-dimensional (2D) optimum distribution of carbon nanotubes (CNTs) in the longitudinal and thickness directions of a polymer composite micro-beam is obtained to achieve its highest fundamental natural frequency given a weight percent (wt.%) of CNTs. To this end, optimum distribution patterns are first studied individually in the longitudinal and the thickness directions by dividing the micro-beam into multiple segments and multiple layers, respectively. It is assumed that each segment/layer is made of low-viscosity, thermosetting polyester epoxy/amine resin LY-5052 and reinforced by multi-walled carbon nanotubes. A user-defined code, written in the Python language, is compiled with ABAQUS to generate a three-dimensional finite element model of the micro-beam and subsequently to evaluate the optimum CNT distributions under various boundary conditions. It is found that fundamental frequencies of the clamped–free, clamped–guided and clamped–clamped micro-beams can be enhanced up to 19.5%, 16.8% and 14.8%, respectively, by choosing the 2D optimum CNT distribution profile along the longitudinal and the thickness directions of the micro-beam. The results also reveal that the 1D through-axis and 2D optimal CNT distribution patterns depend on the type of boundary condition applied. However, the optimum through-thickness distribution pattern is found to be independent of the type of boundary condition, which can be of high value for practical applications. |
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