An Analytical Solution on Size Dependent Longitudinal Dynamic Response of SWCNT Under Axial Moving Harmonic Load

Journal of Solid Mechanics

مقاله 7، دوره 12، شماره 3، آذر 2020، صفحه 586-599   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2019.1875642.1476

نویسندگان

F Khosravi¹؛ M Simyari²؛ S. A Hosseini^{* 3}؛ M Ghadiri⁴

¹Department of Aerospace Engineering, K.N. Toosi University of Technology, Tehran, Iran

²Department of Mechanical Engineering, University of Tehran, Tehran, Iran

³Department of Industrial, Mechanical and Aerospace Engineering, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran

⁴Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran

چکیده

The main purposes of the present work are devoted to the investigation of the free axial vibration, as well as the time-dependent and forced axial vibration of a SWCNT subjected to a moving load. The governing equation is derived through using Hamilton's principle. Eringen’s nonlocal elasticity theory has been utilized to analyze the nonlocal behaviors of SWCNT. A Galerkin method based on a closed-form solution is applied to solve the governing equation. The boundary conditions are considered as clamped-clamped (C-C) and clamped-free (C-F). Firstly, the nondimensional natural frequencies are calculated, as well as the influence of the nonlocal parameter on them are explained. The results of both boundary conditions are compared together, and both of them are compared to the results of another study to verify the accuracy and efficiency of the present results. The novelty of this work is related to the study of the dynamic forced axial vibration due to the axial moving harmonic force in the time domain. The previously forced vibration studies were devoted to the transverse vibrations. The effect of the geometrical parameters, velocity of the moving load, excitation frequency, as well as the small-scale effect, are explained and discussed in this context. According to the lack of accomplished studies in this field, the present work has the potential to be used as a benchmark for future works.                     

کلیدواژه‌ها

Moving load؛ Size dependent؛ Axial vibration؛ Free vibration؛ Forced vibration؛ Galerkin method؛ Harmonic load

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