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پاسخ غیرخطی و پایداری نانولوله‌های فلکسوالکتریک حامل سیال تحت میدان دمایی با استفاده از تئوری گرادیان کرنش غیرموضعی | ||
| مکانیک هوافضا | ||
| مقاله 2، دوره 18، شماره 1 - شماره پیاپی 67، خرداد 1401، صفحه 21-39 اصل مقاله (2.54 M) | ||
| نوع مقاله: گرایش دینامیک، ارتعاشات و کنترل | ||
| نویسندگان | ||
| ابراهیم محمودپور* 1؛ علی پارسا2؛ محمد پارسا2 | ||
| 1نویسنده مسئول: استادیار، گروه مکانیک، دانشکده فنی مهندسی، واحد بروجرد، دانشگاه آزاد اسلامی، بروجرد، ایران | ||
| 2کارشناسی ارشد، باشگاه پژوهشگران جوان و نخبگان، واحد خرم‌آباد، دانشگاه آزاد اسلامی، خرم‌آباد، ایران | ||
| تاریخ دریافت: 02 خرداد 1399، تاریخ بازنگری: 20 اسفند 1399، تاریخ پذیرش: 28 مهر 1400 | ||
| چکیده | ||
| در این مقاله روش مقیاس های چندگانه برای حل معادلات ارتعاشات آزاد و اجباری غیرخطی نانولوله‌های فلکسوالکتریک حامل سیال لزج، تحت میدان دمایی واقع بر روی فونداسیون الاستیک غیرخطی با استفاده از تئوری گرادیان کرنش غیرموضعی ارائه شده است. با فرض تئوری تیر اولر- برنولی با تکیه‌گاه ساده و هندسه غیرخطی ون‌کارمن، معادله دیفرانسیل حاکم بر ارتعاشات غیرخطی استخراج شده است. یک ولتاژ الکتریکی به سطح بالای نانولوله اعمال می‌شود که شرایط میدان الکتریکی مدار بسته را ایجاد می‌کند. در پایان، اثر پارامترهای مختلف مانند تغییرات دما، ولتاژ الکتریکی و ... بر روی قسمت‌های حقیقی و موهومی فرکانس‌های طبیعی بررسی شده است. همچنین، اثر ضریب فلکسوالکتریک بر رزنانس اولیه، زیرهارمونیک و فوق هارمونیک بررسی شده است. نتایج نشان می دهد که ضریب فلکسوالکتریک باعث می شود که در رزنانس اولیه و فوق هارمونیک، در ابتدا سیستم رفتار سخت شونده از خود نشان می دهد و پدیده پرش کاملا مشخص است. اما با افزایش آن، سیستم رفتار نرم شونده از خود نشان می دهد. | ||
| کلیدواژه‌ها | ||
| ارتعاشات آزاد و اجباری غیرخطی؛ نانولوله فلکسوالکتریک حامل سیال؛ میدان دمایی | ||
| عنوان مقاله [English] | ||
| Nonlinear Response and Stability of Flexoelectric Nanotube Conveying Fluid under Temperature Field using Nonlocal Strain Gradient Theory | ||
| نویسندگان [English] | ||
| Ebrahim Mahmoudpour1؛ Ali Parsa2؛ Mohammad Parsa2 | ||
| 1Corresponding author: Assistant Professor, Department of Mechanics, Faculty of Technical Engineering, Borujard Branch, Islamic Azad University, Borujard, Iran | ||
| 2MSc,, Young and Elite Researchers Club, Khorramabad Branch, Islamic Azad University, Khorramabad, Iran | ||
| چکیده [English] | ||
| In this article, the method of multiple scales is presented for solving nonlinear free and forced vibration equations of flexoelectric nanotube conveying viscous fluid under a temperature field located on a nonlinear elastic foundation using nonlocal strain gradient theory. By assuming simple Euler-Bernoulli beam theory and the nonlinear geometry of Van Carmen, the differential equation governing nonlinear vibrations was derived. An electrical voltage was applied to the upper surface of the nanotube, which created the electric field conditions of the closed circuit. Finally, the effect of different parameters such as temperature changes, electrical voltage, etc. on the real and imaginary parts of natural frequencies was investigated. Also, the effect of flexoelectric coefficient on primary, subharmonic and super harmonic resonance was investigated. The results show that the flexoelectric coefficient at the primary and super harmonic resonance initially causes the hardening behavior in the system and the jump phenomenon is quite clear; But as it increases, the system shows softening behavior. | ||
| کلیدواژه‌ها [English] | ||
| Nonlinear free and forced vibrations, Flexoelectric nanotube carrying fluid, Temperature field | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 167 تعداد دریافت فایل اصل مقاله: 218 |
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