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مطالعه تأثیر گرادیان طولی مواد بر ارتعاشات سیستمهای متحرک محوری | ||
| نشریه مهندسی مکانیک امیرکبیر | ||
| مقاله 10، دوره 53، شماره 2 (Special Issue)، اردیبهشت 1400، صفحه 1197-1210 اصل مقاله (2.52 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/mej.2020.17295.6567 | ||
| نویسندگان | ||
| علی فروغی؛ مهران صفرپور؛ اکبر علی بیگلو* | ||
| مهندسی مکانیک، دانشکده مهندسی مکانیک، دانشگاه تربیت مدرس، تهران | ||
| چکیده | ||
| برای اولین بار، ارتعاشات و پایداری تیرهای رایلی متحرک مدرج محوری با هدف بهبود کارایی سیستمهای متحرک عبوری مطالعه شده است. همچنین، یک مطالعه مقایسهای مفصل برای روشنکردن اثر پارامترهای مختلف مانند درجهبندی محوری مواد و اینرسی دورانی بر مرزهای پایداری تیرهای رایلی و اویلر- برنولی انجام شده است. فرض شده است که مشخصات مادی سیستم بهطور پیوسته در راستای طولی بهصورت خطی یا نمایی تغییر میکنند. روش گسستهسازی گالرکین و همچنین مسئله مقدار ویژه بهکاربرده شدهاند تا فرکانسهای طبیعی، پیکربندی دینامیکی، آستانههای ناپایداری فلاتر و دایورژانس سیستم محاسبه شوند. همچنین روابط تحلیلی برای سرعت بحرانی سیستم بهدستآمدهاند. نقشههای پایداری و کانتورهای سرعت بحرانی برحسب توزیعهای مختلف مورد آزمون قرارگفتهاند. ضمنا نشان داده شد که در حالت چگالی و مدول الاستیک متغیر، به ترتیب تغییرات نمایی و خطی منجر به سیستم پایدارتر میشوند. همچنین نتایج نشان دادند که کاهش پارامتر گرادیان چگالی و یا افزایش پارامتر گرادیان مدول الاستیک، فرکانس طبیعی سیستم را افزایش میدهد و محدودههای پایداری را گسترش میدهد، بنابراین تغییرات پارامترهای گرادیان چگالی و مدول الاستیک، نقشهای متضاد در رفتار دینامیکی سیستم دارند. نتایج پژوهش حاضر برای طراحی و بهینهسازی سازههای متحرک محوری غیرهمگن سرعت بالا میتواند مفید باشد. | ||
| کلیدواژهها | ||
| مواد مدرج محوری؛ پارامتر گرادیان؛ تیر متحرک؛ سرعت بحرانی؛ ناپایداری | ||
| عنوان مقاله [English] | ||
| Investigation of the effect of longitudinal grading of material on vibrations of axially moving systems | ||
| نویسندگان [English] | ||
| ali forooghi؛ mehran safarpour؛ akbar ali beigloo | ||
| Department of Mechanical Engineering, Faculty of Engineering, Tarbiat Modares University, Tehran, Iran | ||
| چکیده [English] | ||
| For the first time, vibrations of the axially graded Rayleigh moving beams are studied. It is supposed that the material characteristics of the system change linearly or exponentially in a longitudinal direction continuously. By using the Galerkin method and eigenvalue problem, the natural frequencies and divergence of the system are computed numerically. Also, the analytical relations are extracted for the critical velocity of the system. Essential contours of velocity and stability maps are investigated for different distributions of material. As indicated, exponential and linear changes lead to more stable operation in the variable state of density and elastic modulus, respectively. Also, the results showed that increasing the elastic modulus gradient parameter or decreasing the density gradient parameter results in an increase in the natural frequency of the system and a development in stability. Hence, alteration in the density and elastic modulus gradient parameters has a different role in the dynamic behavior of the system. The results of this study can be useful for designing and optimizing high-speed non-homogeneous axial movable structures. | ||
| کلیدواژهها [English] | ||
| Axial graded materials, Gradient parameter, Moving beam, Critical velocity, Instability | ||
| مراجع | ||
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[1] J. Wickert, Non-linear vibration of a traveling tensioned beam, International Journal of Non-Linear Mechanics, 27(3) (1992) 503-517. [2] M.H. Ghayesh, M. Amabili, Post-buckling bifurcations and stability of high-speed axially moving beams, International Journal of Mechanical Sciences, 68 (2013) 76-91. [3] L.-Q. Chen, X.-D. Yang, Vibration and stability of an axially moving viscoelastic beam with hybrid supports, European Journal of Mechanics-A/Solids, 25(6) (2006) 996-1008. [4] H. Öz, M. Pakdemirli, Vibrations of an axially moving beam with time-dependent velocity, Journal of Sound and Vibration, 227(2) (1999) 239-257. [5] L.-Q. Chen, X.-D. Yang, C.-J. Cheng, Dynamic stability of an axially accelerating viscoelastic beam, European Journal of Mechanics-A/Solids, 23(4) (2004) 659-666. [6] K. Zhu, J. Chung, Vibration and stability analysis of a simply-supported Rayleigh beam with spinning and axial motions, Applied Mathematical Modelling, 66 (2019) 362-382. [7] A.M. Dehrouyeh-Semnani, M. Dehrouyeh, H. Zafari-Koloukhi, M. Ghamami, Size-dependent frequency and stability characteristics of axially moving microbeams based on modified couple stress theory, International Journal of Engineering Science, 97 (2015) 98-112. [8] T.-c. Li, Z.-c. Hou, J.-f. Li, Stabilization analysis of a generalized nonlinear axially moving string by boundary velocity feedback, Automatica, 44(2) (2008) 498-503. [9] Y.-W. Zhang, Z. Zhang, L.-Q. Chen, T.-Z. Yang, B. Fang, J. Zang, Impulse-induced vibration suppression of an axially moving beam with parallel nonlinear energy sinks, Nonlinear dynamics, 82(1-2) (2015) 61-71. [10] G. Udupa, S.S. Rao, K. Gangadharan, Functionally graded composite materials: an overview, Procedia Materials Science, 5 (2014) 1291-1299. [11] M.T. Piovan, R. Sampaio, Vibrations of axially moving flexible beams made of functionally graded materials, Thin-Walled Structures, 46(2) (2008) 112-121. [12] S. Sui, L. Chen, C. Li, X. Liu, Transverse vibration of axially moving functionally graded materials based on Timoshenko beam theory, Mathematical Problems in Engineering, 2015 (2015). [13] K. Kiani, Longitudinal and transverse instabilities of moving nanoscale beam-like structures made of functionally graded materials, Composite Structures, 107 (2014) 610-619. [14] T. Yan, T. Yang, L. Chen, Direct Multiscale Analysis of Stability of an Axially Moving Functionally Graded Beam with Time-Dependent Velocity, Acta Mechanica Solida Sinica, 1-14. [15] M. Rezaee, S. Lotfan, Non-linear nonlocal vibration and stability analysis of axially moving nanoscale beams with time-dependent velocity, International Journal of Mechanical Sciences, 96 (2015) 36-46. [16] 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). [17] A. Ebrahimi-Mamaghani, S.H. Mirtalebi, M.-T. Ahmadian, Magneto-mechanical stability of axially functionally graded supported nanotubes, Materials Research Express, (2019). [18] 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. [19] 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. [20] 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. [21] 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. [22] 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. [23] 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. [24] 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. [25] 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. [26] 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. [27] 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. [28] 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. [29] H. Sarparast, A. Ebrahimi-Mamaghani, Vibrations of laminated deep curved beams under moving loads, Composite Structures, (2019) 111262. [30] 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). [31] R. Hosseini, A. Ebrahimi mamaghani, M. Nouri, An Experimental Investigation into Width Reduction Effect on the Efficiency of Piezopolymer Vibration Energy Harvester, Journal of Solid and Fluid Mechanics, 7(3) (2017) 41-51 (In Persian). [32] 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). [33] 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). [34] R.H. A. Ebrahimi Mamaghani, Energy Harvesting from Nonlinear Vibrating System Using Two Impacting Cantilever Beam, Scientific Journal Management System, 15(1) (2019) 75-88 (In Persian). [35] H. mirtalebi, A. Ebrahimi Mamaghani, On the Dynamics of Micro-Tubes Conveying Fluid on Various Foundations, Amirkabir Journal of Mechanical Engineering, 52(1) (2018) 1-10 (In Persian). [36] 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). [37] 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). [38] R. Hosseini, M.M. EBRAHIMI, A. ASA, An Investigation Into the Effects of Friction and Anisotropy Coefficients and Work Hardening Exponent on Deep Drawing With FEM, (2012).
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