اثر مقیاس کوچک بر ارتعاشات غیرخطی میکرو ورق دایره‌ای ویسکوالاستیک واقع بر بستر غیرخطی ویسکوالاستیک

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری، گروه مکانیک، دانشکده فنی، واحد تهران مرکزی، دانشگاه آزاد اسلامی، تهران، ایران

2 عضو هیأت علمی گروه مکانیک، دانشکده فنی، واحد تهران مرکزی، دانشگاه آزاد اسلامی، تهران، ایران

3 عضو هیأت علمی، گروه مکانیک، دانشکده فنی، واحد تهران مرکزی، دانشگاه آزاد اسلامی، تهران، ایران

چکیده

در این مقاله، ارتعاشات آزاد غیرخطی میکرو ورق دایره‌ای توپر و توخالی ویسکوالاستیک بررسی می‌شود. این میکرو ورق بر روی بستر متقارن و نامتقارن ویسکوالاستیک غیرخطی قرارگرفته است. اثر مقیاس کوچک با استفاده از تئوری تنش کوپل اصلاح‌شده لحاظ می‌شود. معادلات غیرخطی میکرو ورق با اصل همیلتون بر اساس نظریه تغییر شکل برشی مرتبه اول (FSDT) به‌دست‌آمده است. برای به دست آوردن فرکانس طبیعی غیرخطی از روش اجزای محدود (FEM) و الگوریتم تکرار نیوتن استفاده‌شده است. نتایج به‌دست‌آمده با نتایج محققان مقایسه شده است و تطابق خوبی بین آن‌ها مشاهده است. سپس اثرات پارامترهای مختلف مانند پارامتر مقیاس طول، نسبت شعاع بیرونی به ضخامت، حداکثر انحراف به ضخامت، بستر غیرخطی نرم و سخت شونده، بسترهای غیرخطی متقارن و نامتقارن، شرایط مرزی مختلف، میرایی سازه و بستر بررسی شد. نتایج نشان می‌دهد که شرایط مرزی آزاد و گیردار به ترتیب دارای بالاترین و کمترین فرکانس غیرخطی میکرو ورق دایره‌ای توپر و توخالی هستند. همچنین، بسترهای ویسکوالاستیک غیرخطی متقارن و نامتقارن بر فرکانس غیرخطی تأثیر معناداری دارند و فرکانس غیرخطی میکرو ورق دایره‌ای توخالی در حضور بستر نامتقارن سخت شونده به مقادیر بالاتر برای هر نسبت دامنه به ضخامت تغییر می‌کند.

کلیدواژه‌ها

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نشریه علمی پژوهشی مهندسی هوانوردی
دوره 24، شماره 2
مهر 1401
صفحه 152-166

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سابقه مقاله

  • تاریخ دریافت: 07 خرداد 1401
  • تاریخ بازنگری: 31 تیر 1401
  • تاریخ پذیرش: 03 مرداد 1401

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