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مطالعه پارامتریک ارتعاشات وابسته به‌اندازه تیرهای مدرج محوری رایلی تحت یک بار متحرک بر روی بستر پاسترناک | ||
| نشریه مهندسی مکانیک امیرکبیر | ||
| مقاله 8، دوره 53، شماره 4، تیر 1400، صفحه 2171-2192 اصل مقاله (3.69 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/mej.2020.17371.6584 | ||
| نویسندگان | ||
| علی فروغی1؛ مهران صفرپور1؛ اکبر علی بیگلو* 2 | ||
| 1مهندسی مکانیک، دانشکده مهندسی مکانیک، دانشگاه تربیت مدرس، تهران | ||
| 2تربیت مدرساستاد، دانشکده مکانیک، دانشگاه تربیت مدرس، تهران، ایران | ||
| چکیده | ||
| ارتعاشات میکروتیرهای مدرج تابعی محوری رایلی و اویلر برنولی تحت یک بار متحرک بر روی بستر پاسترناک به صورت عددی و تحلیلی مطالعه شده است. همچنین، برای اولین بار، یک مدل‌سازی دقیق ریاضی برای تحلیل اثر پارامترهای مختلف مانند گرادیان طولی مواد، فاکتور اینرسی دورانی، سختی بستر پاسترناک و پارامتر گرادیان کرنش بر سرعت بحرانی، ضریب دینامیکی و مکانیزم های لغو و ماکسیمم دامنه ارتعاشات سیستم به دست آمده است. فرکانس‌های طبیعی تیر مدرج تابعی محوری رایلی به دست آمده و با نتایج موجود در ادبیات فنی مقایسه می‌شوند. عبارت‌های ریاضی فرم بسته ساده برای ضریب بزرگنمایی دینامیکی، لغو و بیشینه دامنه ارتعاشات آزاد سیستم استخراج شدند. نشان داده می‌شود که به ازای مقادیر کمتر و بیشتر از پارامتر گرادیان بحرانی، تغییرات مشخصات مادی سیستم اثرات معکوس بر دامنه ارتعاش اجباری و آزاد سیستم دارند. علاوه بر این، نتیجه‌گیری می‌شود که در مقایسه با تیرهای اویلر- برنولی همگن، در میکروتیرهای مدرج محوری رایلی محاط شده در بستر برشی پاسترناک، با انتخاب مقادیر مناسبی از پارامتر گرادیان، ضریب اینرسی دورانی، سختی بستر و پارامتر گرادیان کرنش، می‌توان پدیده‌های لغو و بیشینه ارتعاشات آزاد سیستم را به‌خوبی کنترل کرد. همچنین نتایج پژوهش حاضر می‌تواند به‌عنوان معیاری برای طراحی بهینه سازه‌های ناهمگن تحت تحریک بارهای متحرک به‌کاربرده شوند. | ||
| کلیدواژه‌ها | ||
| بار متحرک؛ مواد مدرج محوری؛ پدیده لغو؛ بیشینه دامنه ارتعاشات؛ سرعت بحرانی بار | ||
| عنوان مقاله [English] | ||
| Parametric investigation of the size-dependent axially graded Rayleigh beams subjected to a moving load on Pasternak substrate | ||
| نویسندگان [English] | ||
| ali forooghi1؛ mehran safarpour1؛ akbar ali beigloo2 | ||
| 1Department of Mechanical Engineering, Faculty of Engineering, Tarbiat Modares University, Tehran, Iran | ||
| 2Department of mechanical engineering, Tarbiat modares university | ||
| چکیده [English] | ||
| The vibration of axially graded Rayleigh and Euler-Bernoulli micro-beams under a moving load on Pasternak foundation is studied numerically and analytically. Accurate mathematical modeling is acquired to analyze the effect of various parameters such as longitudinal gradient parameter of material, whirling inertia factor, the stiffness of Pasternak foundation, and strain gradient parameter on the critical velocity, and cancellation mechanism and the maximum amplitude of vibrations. Natural frequencies are obtained and compared with available results in the technical literature. Closed-form expressions are extracted for dynamic magnification coefficient and maximum amplitude of free vibration. The changes in material characteristics of the system have inverse influences on the amplitude of free and forced vibrations for lower and higher values of the critical gradient parameters. It is concluded that in comparison with homogenous Euler-Bernoulli beams, in the axially graded Rayleigh micro-beams surrounded by shear Pasternak foundation. It can be controlled the cancellation and maximum free vibration phenomenon, by choosing the accurate values of gradient parameter, whirling inertia coefficient, the stiffness of foundation, and strain gradient parameter. Also, the results of the present study can be used as a criterion for the optimal design of heterogeneous structures under the moving loads. | ||
| کلیدواژه‌ها [English] | ||
| Moving load, Axially graded material, Cancellation phenomenon, Maximum amplitude of vibrations, Critical velocity of loading | ||
| مراجع | ||
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[1] A.E. Mamaghani, S. Khadem, S. Bab, Vibration control of a pipe conveying fluid under external periodic excitation using a nonlinear energy sink, Nonlinear Dynamics, 86(3) (2016) 1761-1795. [2] R. Hosseini, M. Hamedi, A. Ebrahimi Mamaghani, H.C. Kim, J. Kim, J. Dayou, Parameter identification of partially covered piezoelectric cantilever power scavenger based on the coupled distributed parameter solution, International Journal of Smart and Nano Materials, 8(2-3) (2017) 110-124. [3] H. Sarparast, A. Ebrahimi-Mamaghani, Vibrations of laminated deep curved beams under moving loads, Composite Structures, (2019) 111262. [4] S. Esfahani, S.E. Khadem, A.E. Mamaghani, Nonlinear vibration analysis of an electrostatic functionally graded nano-resonator with surface effects based on nonlocal strain gradient theory, International Journal of Mechanical Sciences, 151 (2019) 508-522. [5] L. You, K. Yan, T. Shi, J. Man, N. Liu, Analytical solution for the effect of anisotropic layers/interlayers on an elastic multi-layered medium subjected to moving load, International Journal of Solids and Structures, 172 (2019) 10-20. [6] T.N.T. Cao, V.H. Luong, H.N. Vo, X.V. Nguyen, V.N. Bui, M.T. Tran, K.K. Ang, A moving element method for the dynamic analysis of composite plate resting on a Pasternak foundation subjected to a moving load, International Journal of Computational Methods, 16(08) (2019) 1850124. [7] Z.Y. Ai, C.J. Xu, G.P. Ren, Vibration of a pre-stressed plate on a transversely isotropic multilayered half-plane due to a moving load, Applied Mathematical Modelling, 59 (2018) 728-738. [8] Y. Chen, N.D. Beskou, J. Qian, Dynamic response of an elastic plate on a cross-anisotropic poroelastic half-plane to a load moving on its surface, Soil Dynamics and Earthquake Engineering, 107 (2018) 292-302. [9] A.E. Mamaghani, S.E. Khadem, S. Bab, S.M. Pourkiaee, Irreversible passive energy transfer of an immersed beam subjected to a sinusoidal flow via local nonlinear attachment, International Journal of Mechanical Sciences, 138 (2018) 427-447. [10] S. Esfahani, S. Esmaeilzade Khadem, A. Ebrahimi Mamaghani, Size-dependent nonlinear vibration of an electrostatic nanobeam actuator considering surface effects and inter-molecular interactions, International Journal of Mechanics and Materials in Design, 15(3) (2019) 489-505. [11] A. Ebrahimi-Mamaghani, R. Sotudeh-Gharebagh, R. Zarghami, N. Mostoufi, Dynamics of two-phase flow in vertical pipes, Journal of Fluids and Structures, 87 (2019) 150-173. [12] A. Ebrahimi Mamaghani, S. Esameilzadeh Khadem, Vibration analysis of a beam under external periodic excitation using a nonlinear energy sink, Modares Mechanical Engineering, 16(9) (2016) 186-194, (In Persian). [13] A.E. Mamaghani, H. Zohoor, K. Firoozbakhsh, R. Hosseini, Dynamics of a Running Below-Knee Prosthesis Compared to Those of a Normal Subject, Journal of Solid Mechanics Vol, 5(2) (2013) 152-160. [14] A. Ebrahimi-Mamaghani, S.H. Mirtalebi, M.-T. Ahmadian, Magneto-mechanical stability of axially functionally graded supported nanotubes, Materials Research Express, 6(12) (2020) 1250c1255. [15] S.H. Mirtalebi, M.T. Ahmadian, A. Ebrahimi-Mamaghani, On the dynamics of micro-tubes conveying fluid on various foundations, SN Applied Sciences, 1(6) (2019) 547. [16] S.H. Mirtalebi, A. Ebrahimi-Mamaghani, M.T. Ahmadian, Vibration Control and Manufacturing of Intelligibly Designed Axially Functionally Graded Cantilevered Macro/Micro-tubes, IFAC-PapersOnLine, 52(10) (2019) 382-387. [17] A. Ebrahimi-Mamaghani, R. Sotudeh-Gharebagh, R. Zarghami, N. Mostoufi, Thermo-mechanical stability of axially graded Rayleigh pipes, Mechanics Based Design of Structures and Machines, (2020) 1-30, doi:10.1080/15397734.2020.1717967. [18] H. Sarparast, S. Esmaeilzade Khadem, Vibration analysis of a laminated deep curved beams subjected to a moving load by considering the rotary inertia and shear force, Modares Mechanical Engineering, 17(7) (2017) 141-151 (In Persian). [19] H. Sarparast, S. Esmaeilzade Khadem, A. Ebrahimi Mamaghani, Investigation of the cancellation, resonance and maximum amplitude of free vibration phenomena in laminated curved Timoshenko beams under moving loads, Modares Mechanical Engineering, 18(9) (2019) 69-80, (In Persian). [20] A. Ebrahimi Mamaghani, H. Sarparast, Lateral vibration control of a beam subjected to the harmonic external load using a nonlinear energy sink, Journal of Modeling in Engineering, 16(55) (2018) 375-390, (In Persian). [21] A. Ebrahimi Mamaghani, R. Hosseini, M. Shahgholi, H. Sarparast, Free lateral vibration analysis of inhomogeneous beams under various boundary conditions, Journal of Solid and Fluid Mechanics, 8(3) (2018) 123-135, (In Persian). [22] A. Ebrahimi Mamaghani, R. Hosseini, Mathematical Modelling and Resonance Analysis in Impact Oscillators, Amirkabir Journal of Mechanical Engineering, 51(1) (2019) 157-168, (In Persian). [23] A. Ebrahimi Mamaghani, h. sarparast, Target energy transfer from a doubly clamped beam subjected to the harmonic external load using nonlinear energy sink, Journal of Solid and Fluid Mechanics, 8(4) (2018) 165-177, (In Persian). [24] R. Hosseini, M. Ebrahimi Mamaghani, A. Asa, An Investigation Into The Effects Of Friction And Anisotropy Coefficients And Work Hardening Exponent On Deep Drawing With FEM, Journal Of Advanced Materials And Processing, 1(2) (2012). [25] P. Malekzadeh, S. Monajjemzadeh, Nonlinear response of functionally graded plates under moving load, Thin-Walled Structures, 96 (2015) 120-129. [26] S. Khalili, A. Jafari, S. Eftekhari, A mixed Ritz-DQ method for forced vibration of functionally graded beams carrying moving loads, Composite Structures, 92(10) (2010) 2497-2511. [27] F. Ebrahimi, S.H.S. Hosseini, Resonance analysis on nonlinear vibration of piezoelectric/FG porous nanocomposite subjected to moving load, The European Physical Journal Plus, 135(2) (2020) 215. [28] M. Alimoradzadeh, M. Salehi, S.M. Esfarjani, Nonlinear Dynamic Response of an Axially Functionally Graded (AFG) Beam Resting on Nonlinear Elastic Foundation Subjected to Moving Load, Nonlinear Engineering, 8(1) (2019) 250-260. [29] Y. Wang, D. Wu, Thermal effect on the dynamic response of axially functionally graded beam subjected to a moving harmonic load, Acta Astronautica, 127 (2016) 171-181. [30] M. Şimşek, T. Kocatürk, Ş. Akbaş, Dynamic behavior of an axially functionally graded beam under action of a moving harmonic load, Composite Structures, 94(8) (2012) 2358-2364. [31] I. Esen, Dynamics of size-dependant Timoshenko micro beams subjected to moving loads, International Journal of Mechanical Sciences, 175 (2020) 105501. [32] M. Şimşek, Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory, International Journal of Engineering Science, 48(12) (2010) 1721-1732. [33] A.E. Abouelregal, A.M. Zenkour, Dynamic response of a nanobeam induced by ramp-type heating and subjected to a moving load, Microsystem Technologies, 23(12) (2017) 5911-5920. [34] M. Safarpour, A. Rahimi, A. Alibeigloo, H. Bisheh, A. Forooghi, Parametric study of three-dimensional bending and frequency of FG-GPLRC porous circular and annular plates on different boundary conditions, Mechanics Based Design of Structures and Machines, (2019) 1-31, doi:10.1080/15397734.15392019.11701491. [35] K. Jermsittiparsert, A. Ghabussi, A. Forooghi, A. Shavalipour, M. Habibi, D. won Jung, M. Safa, Critical voltage, thermal buckling and frequency characteristics of a thermally affected GPL reinforced composite microdisk covered with piezoelectric actuator, Mechanics Based Design of Structures and Machines, (2020) 1-23, doi:10.1080/15397734.15392020.11748052. [36] Z. Abdelmalek, M. Karbon, A. Eyvazian, A. Foroughi, H. Safarpour, I. Tlili, On the dynamics of a curved microtubule-associated proteins by considering viscoelastic properties of the living biological cells, Journal of Biomolecular Structure and Dynamics, (just-accepted) (2020) 1-26, doi:10.1080/07391102.2020.1747549. [37] X.-F. Li, Y.-A. Kang, J.-X. Wu, Exact frequency equations of free vibration of exponentially functionally graded beams, Applied Acoustics, 74(3) (2013) 413-420. [38] A.-Y. Tang, J.-X. Wu, X.-F. Li, K. Lee, Exact frequency equations of free vibration of exponentially non-uniform functionally graded Timoshenko beams, International Journal of Mechanical Sciences, 89 (2014) 1-11. [39] C.S. Kumar, C. Sujatha, K. Shankar, Vibration of simply supported beams under a single moving load: A detailed study of cancellation phenomenon, International Journal of Mechanical Sciences, 99 (2015) 40-47. [40] A. Pesterev, B. Yang, L. Bergman, C. Tan, Revisiting the moving force problem, Journal of sound and vibration, 261(1) (2003) 75-91.
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