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مدلسازی رفتار نوسانی نانو پیازهای کربنی داخل نانولولههای کربنی تکجداره بر اساس روش تقریب پیوسته | ||
| مکانیک هوافضا | ||
| مقاله 10، دوره 19، شماره 4 - شماره پیاپی 74، دی 1402، صفحه 135-148 اصل مقاله (1.56 M) | ||
| نوع مقاله: گرایش دینامیک، ارتعاشات و کنترل | ||
| نویسنده | ||
| فاطمه صادقی* | ||
| استادیار، گروه علوم مهندسی، دانشکده فناوریهای نوین، دانشگاه محقق اردبیلی، نمین، ایران | ||
| تاریخ دریافت: 08 مرداد 1402، تاریخ بازنگری: 28 مرداد 1402، تاریخ پذیرش: 28 شهریور 1402 | ||
| چکیده | ||
| در این مقاله، رفتار نوسانی نانو پیازهای کربنی داخل نانولولههای کربنی تک جداره موردمطالعه قرارگرفته است. بدین منظور، با استفاده از تئوری تقریب پیوسته و تابع پتانسیل لنارد- جونز، روابطی تحلیلی برای محاسبه نیروی بینمولکولی واندروالسی و انرژی پتانسیل سیستم ارائهشده است. با استفاده از قانون دوم نیوتن و با صرفنظر از اثرات اصطکاک، معادله حرکت بهصورت عددی حلشده و پاسخهای زمانی مکان و سرعت نوسانگر محاسبهشده است. همچنین، بهمنظور محاسبه فرکانس نوسانات سیستم، یک رابطه نیمهتحلیلی بر اساس اصل پایستاری انرژی مکانیکی بهدستآمده است. رابطه ارائهشده برای فرکانس هم به پارامترهای هندسی و هم به شرایط اولیه حرکت وابسته میباشد. با استفاده از این رابطه، مطالعه جامعی بر روی رفتار نوسانی نانو پیازهای کربنی داخل نانولولههای کربنی تکجداره با تغییر پارامترهای سیستم انجامگرفته است. نتایج عددی نشان میدهد که فرکانس تولیدشده توسط این نوع از نانو نوسانگرها در مقیاس گیگاهرتز است. همچنین، مشاهدهشده است که سرعت فرار و فرکانس ماکزیمم نوسانگر با افزایش تعداد لایههای نانو پیاز کربنی کاهش مییابند. | ||
تازه های تحقیق | ||
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| کلیدواژهها | ||
| نانو نوسانگرها؛ نانو پیاز کربنی؛ نانو لوله کربنی تک جداره؛ روش تقریب پیوسته؛ فرکانس | ||
| عنوان مقاله [English] | ||
| Modeling the Oscillatory Behavior of Carbon Nano-onions Inside Single-walled Carbon Nanotubes Based on the Continuum Approximation Method | ||
| نویسندگان [English] | ||
| Fatemeh Sadeghi | ||
| Assistant Professor, Department of Engineering Sciences, Faculty of Advanced Technologies, University of Mohaghegh Ardabili, Namin, Iran | ||
| چکیده [English] | ||
| In this paper, oscillatory behavior of carbon nano-onions inside single-walled carbon nanotubes is investigated. To this end, using the continuum approximation along with the Lennard-Jones potential function, analytical expressions are derived for the evaluation of van der Waals interaction force and potential energy of system. Based on the Newton’s second law and ignoring the frictional forces, the motion equation is solved numerically and the time histories of displacement and velocity of oscillator are obtained. Moreover, in order to determine the oscillation frequencies of system, a semi-analytical expression is derived based on the conservation of mechanical energy principle. The proposed expression of frequency is dependent on both geometrical parameters and initial conditions. Using this expression, a comprehensive study is performed on the oscillatory behavior of carbon nano-onions inside single-walled carbon nanotubes by varying system parameters. Numerical results indicate that the generated frequency of this type of nano-oscillators is in the gigahertz range. It is further observed that the escape velocity as well as the maximum oscillation frequency decrease as the number of layers of carbon nano-onion increases. | ||
| کلیدواژهها [English] | ||
| Nano-oscillators, Carbon nano-onions, Single-walled carbon nanotubes, Continuum approximation method, Frequency | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 67 تعداد دریافت فایل اصل مقاله: 145 |
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