بررسی پاسخ غیرخطی گذرا صفحات فلزکامپوزیت تحت بارگذاری فشار یکنواخت وابسته به زمان

نوع مقاله : گرایش دینامیک، ارتعاشات و کنترل

نویسندگان

1 دانشجوی دکتری، دانشکده فنی و مهندسی، دانشگاه جامع امام حسین(ع)، تهران، ایران

2 نویسنده مسئول: استادیار، دانشکده فنی و مهندسی، دانشگاه جامع امام حسین(ع)، تهران، ایران

3 استاد، دانشکده فنی و مهندسی، دانشگاه جامع امام حسین(ع)، تهران، ایران

چکیده

چندلایه‌های فلز کامپوزیتی در بسیاری از کاربردها از هواپیماها، زیردریایی‌ها و کشتی‌ها گرفته تا مخازن تحت‌فشار و قطعات خودرو مورداستفاده قرار می‌گیرند. در این مطالعه به بررسی تحلیل تئوری و عددی چندلایه‌های فلز-کامپوزیت تحت بارگذاری‌ فشار یکنواخت وابسته به زمان پرداخته‌شده است. بدین منظور، چندلایه فلز کامپوزیت بر اساس نظریه تغییر شکل برشی مرتبه بالای ردی مدل شده و اثرات غیرخطی هندسی وون کارمن در استخراج معادلات حرکت گنجانده‌شده است. فرض شده است که چندلایه فلز کامپوزیتی بر بستر پاسترناک قرار دارد و شرایط مرزی در تمامی لبه‌های ورق به‌صورت تکیه‌گاه ساده در نظر گرفته‌شده است. سپس معادلات مشتقات جزئی غیرخطی حرکت، با استفاده از روش گالرکین جداسازی شده و نهایتاً با استفاده از روش رانگ کوتا حل‌شده‌اند. نتایج تحلیل تئوری انجام‌شده با نتایج ارائه‌شده در مطالعات پیشین مقایسه گردیده و تطابق خوبی مشاهده‌شده است. همچنین به‌منظور بررسی پارامترهای اثرگذار، اثر نسبت ابعادی، بستر پاسترناک، زمان بارگذاری و نوع پالس‌های فشاری بر روی پاسخ دینامیکی ورق موردبررسی قرارگرفته است. مطابق با نتایج به‌دست‌آمده، با کاهش زمان فاز مثبت بارگذاری و افزایش پارامتر شکل موج، اثر فاز منفی بارگذاری تقویت‌شده و منجر به افزایش جابجایی بی‌بعد در مرکز ورق می‌گردد. علاوه بر این، مشخص گردید که پارامتر سختی خطی، در مقایسه با پارامتر لایه برشی اثر کمتری بر پاسخ زمانی دارد.

کلیدواژه‌ها


عنوان مقاله [English]

Investigation of Transient Nonlinear Response of Fiber Metal Laminates (FML’s) under Uniform Time-dependent Pressure Loading

نویسندگان [English]

  • Ali Kiani 1
  • Rouhollah Hosseini 2
  • Hossein Khodarahmi 3
1 Ph.D. Student, Faculty of Engineering, Imam Hossein Comprehensive University, Tehran, Iran
2 Corresponding author: Assistant Professor, Faculty of Engineering, Imam Hossein Comprehensive University, Tehran, Iran
3 Professor, Faculty of Engineering, Imam Hossein Comprehensive University, Tehran, Iran
چکیده [English]

Fiber Metal Laminates (FML’s) are being used in many applications ranging from aircraft, submarines and ships to pressure vessels and automotive parts. In this study, the theoretical and numerical analysis of fiber metal laminates (FML’s) subjected to time-dependent uniform pressure load have been investigated. For this purpose, the plate is modeled based on the Reddy’s higher order shear deformation plate theory and the effects of the von Kármán geometric nonlinearity are included in the derivation of the motion equations. The FML is assumed to rest on the Pasternak foundation and simply supported boundary conditions are considered for all edges of the plate. Then, Nonlinear Partial differential Equations (PDEs) of motion are separated by using of the Galerkin method and finally solved using the Runge Kutta method. The results of conducted theoretical analyses compared with the presented results in the literature and good agreement is found. Also, in order to investigate the effective parameters, the effect of aspect ratio, Pasternak foundation and type of pressure pulses on the dynamic response of the plate have been examined. According to the obtained results, by reducing the positive phase time of loading and increasing the waveform parameter, the effect of the negative phase of loading is amplified and leads to an increase in dimensionless displacement in the center of the plate. Also, it was realized that the linear stiffness parameter in comparison with the shear layer parameter has less effect on the dynamic response.

کلیدواژه‌ها [English]

  • Nonlinear response
  • Laminated composite
  • Time-dependent uniform pressure load
  • Galerkin method
  • Runge Kutta method

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دوره 18، شماره 3 - شماره پیاپی 69
شماره پیاپی 69، فصلنامه پاییز
مهر 1401
صفحه 109-125
  • تاریخ دریافت: 10 آبان 1400
  • تاریخ بازنگری: 18 دی 1400
  • تاریخ پذیرش: 25 دی 1400
  • تاریخ انتشار: 01 مهر 1401