اثر فشار هیدرو استاتیک بر روی ارتعاشات آزاد پوسته استوانه‌ای هیبریدی

نوع مقاله : مکانیک جامدات

نویسندگان

1 دانشجوی کارشناسی ارشد، دانشکده تحصیلات تکمیلی، دانشگاه علوم و فنون هوایی شهید ستاری، تهران، ایران

2 نویسنده مسئول: استادیار، دانشکده تحصیلات تکمیلی، دانشگاه علوم و فنون هوایی شهید ستاری، تهران، ایران

3 دانشیار، دانشکده تحصیلات تکمیلی، دانشگاه علوم و فنون هوایی شهید ستاری، تهران، ایران

چکیده

با توجه به استفاده روزافزون از پوسته‌های استوانه‌ای هیبریدی در صنایع مختلف تحلیل ارتعاشات آزاد این نوع سازه‌ها دارای اهمیت زیادی می‌باشد. در این پژوهش، ارتعاشات آزاد پوسته استوانه‌ای هیبریدی (کامپوزیت-فلز) تحت تأثیر فشار هیدرو استاتیکی مورد تحلیل و بررسی قرارگرفته است. بررسی فشار هیدرو استاتیکی در پوسته‌های هیبریدی به‌عنوان یکی از موارد مهم و موردنیاز برای طراحی بهینه سازه، بررسی عملکرد سازه در شرایط مختلف محیطی، تحمل و مقاومت در برابر فشار و ... هست. هدف این تحقیق، بررسی تغییرشکل و رفتار سازه تحت‌فشار هیدرو استاتیکی مختلف است. شرایط مرزی را برای پوسته استوانه‌ای به‌صورت گیردار، آزاد و ساده در نظر گرفته‌شده است، معادلات حاکم بر ساختار پوسته استوانه‌ای هیبریدی بر اساس میدان جابجایی و روابط تنش و کرنش به‌صورت ماتریسی با استفاده از تئوری تغییرشکل برشی مرتبه اول پوسته‌ها و اصل همیلتون به‌دست‌آمده و با استفاده از روش عددی مربعات دیفرانسیلی تعمیم‌یافته، معادلات حاکم برسازه حل گردیده و تأثیر زاویه الیاف، مواد کامپوزیتی، فشار هیدرو استاتیکی، نسبت کامپوزیت به فلز، طول به شعاع و ضخامت به شعاع استوانه بر روی فرکانس طبیعی پوسته بررسی و تحلیل‌شده است. نتایج عددی با نتایج تحقیقات انجام‌شده مورد مقایسه و صحت سنجی قرارگرفته شده است. نتایج نشان می‌دهند که پوسته هیبریدی با توزیع مواد مرکب و در نسبت حجمی خاص، رفتار بهتری در برابر فشار هیدرو استاتیکی مختلف نشان می‌دهد.

تازه های تحقیق

  • افزایش فشار هیدرو استاتیک فرکانس طبیعی را کاهش می‌دهد.
  • تأثیر ماده کامپوزیتی در فرکانس طبیعی پوسته استوانه‌ای هیبریدی
  • روش دیفرانسیلی مربعات تعمیم‌یافته

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Effect of Hydrostatic Pressure on the Free Vibrations of Hybrid Cylindrical Shell

نویسندگان [English]

  • rashid mohammadi 1
  • mohammad meskini 2
  • heshmatollah mohammadkhanlo 3
1 M.Sc Student, Faculty of Graduate Studies, Shahid Sattari Aeronautical University of Science and Technology, Tehran, Iran
2 Corresponding author: Assistant Professor, Faculty of Graduate Studies, Shahid Sattari Aeronautical University of Science and Technology, Tehran, Iran
3 Associate Professor, Faculty of Graduate Studies, Shahid Sattari Aeronautical University of Science and Technology, Tehran, Iran
چکیده [English]

Considering the increasing use of hybrid cylindrical shells in various industries, the free vibration analysis of these types of structures is very important. In this research, the free vibrations of the hybrid cylindrical shell under the influence of hydrostatic pressure have been analyzed and investigated. Investigating the hydrostatic pressure in hybrid shells is one of the important and required things for the optimal design of the structure, investigating the performance of the structure in different environmental conditions, bearing and resistance to pressure, etc. The boundary conditions for the cylindrical shell have been considered as fixed, free and simple, the equations governing the structure of the hybrid cylindrical shell are based on the displacement field and the stress and strain relations in matrix form using the first-order shear deformation theory of the shell and Hamilton's principle obtained and using generalized differential quadratic numerical method, the governing equations of the structure were solved and the effect of fiber angle, composite materials, hydrostatic pressure, composite to metal ratio, length to radius and thickness to radius of the cylinder on the natural frequency of the shell was investigated  and analyzed. Numerical results have been compared and validated with the results of the research. The results show that the hybrid shell with the distribution of composite materials and in a specific volume ratio shows better behavior against different hydrostatic pressure.

کلیدواژه‌ها [English]

  • Hydrostatic pressure
  • Free vibrations
  • First order shear deformation theory
  • Hybrid
  • Cylindrical shells

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مکانیک هوافضا
دوره 20، شماره 2 - شماره پیاپی 76
شماره پیاپی 76، فصلنامه تابستان
تیر 1403
صفحه 87-103

فایل ها

سابقه مقاله

  • تاریخ دریافت: 10 اسفند 1402
  • تاریخ بازنگری: 27 اسفند 1403
  • تاریخ پذیرش: 22 اردیبهشت 1403
  • تاریخ انتشار: 01 تیر 1403

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