Instability threshold of rippled carbon nanotube nanotweezers in the low vacuum gas flow incorporating Dirichlet and Neumann modes of Casimir energy |
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| Institution: | 1. School of Materials Science and Engineering, Tsinghua University, Beijing 100084, PR China;2. Institute of Materials, China Academy of Engineering Physics, Mianyang 621907, PR China;3. School of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450000, PR China;4. State Key Laboratory of Organic-Inorganic Composites, College of Materials Science and Engineering, Beijing University of Chemical Technology, Beijing 100029, PR China;1. Department of Chemistry, Payame Noor University, Tehran, Iran;2. Pharmaceutical Sciences Research Center, Department of Medicinal Chemistry, Mazandaran University of Medical Sciences, Sari, Iran;3. Department of Engineering Science, College of Engineering, University of Tehran, P.O. Box 11365-4563, Tehran, Iran;1. Russian-Armenian University, 0051 Yerevan, Armenia;2. Yerevan State University, 0025 Yerevan, Armenia;3. Peter the Great Saint-Petersburg Polytechnic University, St. Petersburg 195251, Russia;4. Ioffe Institute, St Petersburg 194021, Russia;1. Mineral Resources Research Division, Korea Institute of Geoscience and Mineral Resources, Yuseong-gu, Daejeon 305–350, South Korea;2. Korea University of Science and Technology, Gajeong-ro, Yuseong-gu, Daejeon 305–350, South Korea;1. State Key Laboratory of Marine Resource Utilization in South China Sea, Hainan University, Haikou 570228, China;2. Key Laboratory of Advanced Materials of Tropical Island Resources, Ministry of Education, Hainan University, Haikou 570228, China |
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| Abstract: | The aim of this research work is to address the influences of dispersion forces and rippled configuration on the instability threshold of carbon nanotube (CNT) based nanotweezers. To this end, the Dirichlet and Neumann modes of Casimir force arisen from the electric and magnetic energies is developed for cylinder–cylinder geometry. Moreover, the CNTs rippling deformation which experimentally revealed is included in the Euler-Bernoulli beam model to modify the governing equations. The differential quadrature method (DQM) in conjunction with the 4th-order Runge-Kutta algorithm is employed to numerically simulate the non-linear partial differential equations. It is interestingly demonstrated that these phenomena remarkably affect the electromechanical behavior of nanotweezers fabricated from CNTs. By taking the rippling configuration and Casimir attraction between tubes into account, the pull-in voltage decreases. On the other hand, when the gas damping effect due to low vacuum environment is taken into consideration, the pull-in value increases. The accuracy of the present modeling is compared with those experimentally published in the literature, giving excellent results. |
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| Keywords: | Nanotweezer Carbon nanotube (CNT) Rippling deformation Low vacuum gas flow Casimir force Dirichlet mode approximation Neumann mode approximation |
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