نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری، مهندسی مکانیک، دانشگاه آزاد اسلامی واحد علوم و تحقیقات، تهران.

2 استاد، مهندسی مکانیک، دانشگاه خواجه نصرالدین طوسی، تهرا ن.

3 استادیار، مهندسی مکانیک، دانشگاه آزاد اسلامی واحد علوم و تحقیقات، تهرا ن.

4 استادیار، مهندسی مکانیک، دانشگاه آزاد اسلامی واحد علوم و تحقیقات، تهران

10.22068/jstc.2021.531588.1731

چکیده

در این تحقیق، تأثیر فشار دینامیکی سیال بر روی ارتعاشات خطی قطاع دایروی توخالی از جنس مواد تابعی بررسی شده است. تجزیه و تحلیل ورق براساس نظریه تغییر شکل برشی مرتبه اول و با در نظر گرفتن اثرات اینرسی دورانی و نیروهای برشی انجام شده است. معادلات حاکم بر حرکت ورق با درنظر گرفتن انرژی‌های جنبشی و پتانسیل و استفاده از اصل همیلتون استخراج گردیده است. همچنین، فشار وارد شده از سیال به ورق با استفاده از حل تابع پتانسیل سرعت سیال و برابری سرعت در سطح تماس سیال و قطاع بر حسب جابه‌جایی عمودی قطاع تعیین شده است. شکل مدهای فرضی بر اساس ارضای شرایط مرزی ورق در نظر گرفته شده است. با جایگذاری مدهای فرضی، پاسخ هارمونیک و استفاده از روش گالرکین، معادله حاکم به معادله مشخصه تبدیل شده و فرکانس طبیعی ورق بدست آمده است. با استفاده از روش نیمه‌تحلیلی مورد استفاده در این پژوهش تمامی حالت‌های شرایط مرزی قابل بررسی می‌باشند. در ادامه، نتایج عددی برای یک ورق نمونه ارائه شده و تأثیر پارامترهایی مانند زاویه قطاع، شرایط مرزی، چگالی سیال و ارتفاع سیال بررسی شده است. در پایان نتایج به‌دست آمده بدون در نظر گرفتن سیال با پژوهش‌های پیشین، و درحالت تماس با سیال با نرم افزار المان محدود انسیس اعتبار سنجی شده‌ است.

کلیدواژه‌ها

عنوان مقاله [English]

The effect of fluid column pressure on the natural frequencies of an annular sector plate made of functionally graded material

نویسندگان [English]

  • Amir Hossein Nasrollah Barati 1
  • Ali Asghar Jafari 2
  • Shahram Etemadi Haghighi 3
  • Adel Maghsoudpour 4

1 Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran.

2 Department of Mechanical Engineering, K. N. Toosi University, Tehran, Iran.

3 Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran.

4 Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

چکیده [English]

In this study, the effect of fluid dynamic pressure on the linear vibrations of annular sector plate made of Functionally Graded Material (FGM) is investigated. Analysis of the plate is based on First-order Shear Deformation Plate Theory (FSDT) with consideration of rotational inertial effects and transverse shear stresses. The governing equations of motion of the plate are derived by considering the kinetic and potential energies and using the Hamilton’s principle. Also, the pressure applied from the fluid to the plate is determined by solving the velocity potential function of the fluid and the velocity equality at the contact surface of the fluid and the sector in terms of vertical displacement of the sector. The shape of the studied plate modes is based on satisfying the boundary conditions of the plate. By placing hypothetical modes, harmonic responses and using the Galerkin method, the governing equation have become the characteristic equation and by using the semi-analytical method that used for all boundary conditions, the natural frequencies are obtained. Furthermore, the numerical results are presented for a sample plate and the effect of different parameters such as sector angle, boundary conditions, fluid density, and fluid height is investigated. Finally, the obtained results are validated without considering the fluid with previous researches, and in case of contact with the fluid with finite element model (ANSYS software).

کلیدواژه‌ها [English]

  • Linear vibration
  • Annular sector plate
  • functionally graded material
  • fluid column pressure
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