تحلیل ارتعاشات غیرخطی پوسته استوانه‌ای مرکب با فشار داخلی در برابر ضربه با سرعت پایین با استفاده از روش‌های تحلیلی و اجزای محدود

نوع مقاله : گرایش دینامیک، ارتعاشات و کنترل

نویسندگان

1 دانشیار، گروه مهندسی مکانیک، واحدپرند، دانشگاه آزاد اسلامی، پرند، ایران

2 کارشناس ارشد، گروه مهندسی مکانیک، واحدپرند، دانشگاه آزاد اسلامی، پرند، ایران

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.

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