Solitary wave in a nonlinear elastic structural element of large deflection |
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| Institution: | 1. School of Energy, Geoscience, Infrastructure and Society, Institute for Infrastructure & Environment, Heriot-Watt University, Edinburgh, United Kingdom;2. Department of Mechanical & Industrial Engineering, College of Engineering, Qatar University, Doha, Qatar;1. Department of Engineering Mechanics, School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;2. State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, China;3. Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan 430074, China;4. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;1. Department of Computer Engineering, Bartın University, Bartın 74100, Turkey;2. Department of Physics, Lanzhou University of Technology, Lanzhou, 730050, China;3. School of Science, Chongqing University of Posts and Telecommunications, Chongqing, 430065, China |
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| Abstract: | General form nonlinear governing equations for the wave traveling in a nonlinear elastic structural element of large deflection are derived in the present research. An asymptotic solution of solitary wave in the elastic element is derived and investigated by means of a modified complete approximate method. Numerical computations for the solution are carried out. Characteristics of the solitary wave are investigated with various system parameters and initial conditions. Shapes and the propagation of the nonlinear elastic wave are also illustrated with figures. Based on the theoretical and numerical analyses of the research, quantitative conclusions are obtained for the wave motion of the elastic structural element. |
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