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تحلیل ارتعاشات غیرخطی پوسته استوانه‌ای مرکب با فشار داخلی در برابر ضربه با سرعت پایین با استفاده از روش‌های تحلیلی و اجزای محدود | ||
| مکانیک هوافضا | ||
| مقاله 5، دوره 16، شماره 3 - شماره پیاپی 61، آبان 1399، صفحه 59-73 اصل مقاله (645.16 K) | ||
| نوع مقاله: گرایش دینامیک، ارتعاشات و کنترل | ||
| نویسندگان | ||
| احمد مامندی* 1؛ محسن سلیم زاده2 | ||
| 1دانشیار، گروه مهندسی مکانیک، واحدپرند، دانشگاه آزاد اسلامی، پرند، ایران | ||
| 2کارشناس ارشد، گروه مهندسی مکانیک، واحدپرند، دانشگاه آزاد اسلامی، پرند، ایران | ||
| تاریخ دریافت: 12 مرداد 1398، تاریخ بازنگری: 09 اسفند 1398، تاریخ پذیرش: 04 شهریور 1399 | ||
| چکیده | ||
| در این مقاله، تحلیل ارتعاشات گذرای غیرخطی ضربه با سرعت پایین بر روی پوسته استوانه‌ای مرکب تحت فشار داخلی با استفاده از روش‌های تحلیلی و اجزای محدود مورد بررسی قرار گرفته‌است. معادلات دیفرانسیل با مشتقات جزیی حاکم بر حرکت پوسته با استفاده از نظریه غیرخطی پوسته دانل استخراج شده‌است. نیروی برخورد ناشی از ضربه‌زننده با قانون تماس اصلاح شده هرتز مدل شده‌است. برای مدل‌سازی ضربه با سرعت پایین در روش تحلیلی از مدل ارائه شده توسط شیواکمار بهره گرفته شده‌است. با استفاده از روش گالرکین معادلات دیفرانسیل غیرخطی حاکم بر ارتعاشات پوسته حل شده‌اند. سپس، پاسخ دینامیکی و تنشی پوسته تحت ضربه با سرعت پایین به کمک روش اجزای محدود با استفاده از نرم‌افزار ABAQUS و برنامه توسعه داه شده در محیط نرم‌افزار ریاضی Mathematica تحلیل شده‌است. سرانجام، اثر تغییر پارامترهای مختلف مانند تعداد لایه‌ها، چیدمان لایه‌ها، ضخامت و شعاع پوسته و مشخصات ضربه‌زننده بر پاسخ پوسته مورد بررسی قرار گرفته‌است. مشاهده گردید که زاویه الیاف لایه کامپوزیت اثر قابل توجهی بر پاسخ دینامیکی پوسته تحت ضربه داشته و با افزایش زاویه الیاف، دامنه پاسخ دینامیکی پوسته کاهش می‌یابد. همچنین، برای پوسته با شعاع کوچکتر فرکانس پاسخ بالاتر بوده و با افزایش شعاع پوسته اثر آن در تغییر فرکانس پاسخ کمتر می‌گردد. | ||
| کلیدواژه‌ها | ||
| پوسته استوانه‌ای؛ ماده مرکب؛ ارتعاشات غیرخطی؛ فرکانس طبیعی؛ ضربه با سرعت پایین؛ فشار داخلی | ||
| عنوان مقاله [English] | ||
| Nonlinear Vibration analysis of a composite cylindrical shell with internal pressure, subjected to a low velocity impact using analytical and FE methods | ||
| نویسندگان [English] | ||
| Ahmad Mamandi1؛ Mohsen Salimzadeh2 | ||
| 1Associate Professor, Department of Mechanical Engineering, Parand Branch, Islamic Azad University, Parand, Iran | ||
| 2M.Sc., Department of Mechanical Engineering, Parand Branch, Islamic Azad University, Parand, Iran | ||
| چکیده [English] | ||
| In this paper, nonlinear vibration analysis of a composite cylindrical shell with internal pressure, subjected to a low velocity impact is investigated using analytical and FE methods. The governing coupled partial differential equations of motion are derived using Donnel’s nonlinear shell theory. The impact force is modeled by employing the modified Hertzian contact theory. To model the low velocity impact, the model proposed by Shivakumar is exploited. The governing nonlinear coupled partial differential equations of motion for the shell are solved using the Galerkin method. Then, the dynamic response and generated stresses of the cylindrical shell subjected to a low velocity impact are analyzed using the ABAQUS FE software and a mathematical code developed in the environment of Mathematica software. Finally, the effect of some parameters on the impact response is studied. These parameters include the number of layers, ply orientation, shell thickness and shell radius and characteristics of the striker. It is seen that ply orientation of the composite layer has a significant effect on the dynamic response of the shell under impact and when the ply angle increases the amplitude of dynamic response of the shell decreases. Moreover, for a shell with smaller radius the response frequency is higher and when the radius of the shell increases, its effect on the frequency variation, decreases. | ||
| کلیدواژه‌ها [English] | ||
| Cylindrical shell, Composite material, Nonlinear vibrations, Natural frequency, Low velocity impact, Internal pressure | ||
| مراجع | ||
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