ارتعاش ورقهای مدرج تحت جرم گسترده با استفاده از تئوری تغییرشکل برشی مرتبۀ سوم

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشگاه بوعلی سینا همدان

2 دانشگاه آزاد اسلامی واحد علوم و تحقیقات همدان

3 دانشگاه آزاد اسلامی واحد ساوه

چکیده

در این مقاله ارتعاش آزاد یک ورق مدرج مستطیلی تحت اثر جرم گستردۀ موضعی بررسی شده است. خواص ورق های مدرج مانند مدول یانگ و چگالی در راستای ضخامت ورق به‌صورت پیوسته متغیر است. ورق بهحالت مدرج توانی، سیگموید و یا نمایی تعریف می شود. تکیه گاه ورق ساده در نظر گرفته میشود و معادلات حرکت با استفاده از اصل همیلتون و براساس تئوری تغییرشکل برشی مرتبۀ سوم به‌دست می آیند. اثر پارامترهای مختلفی مانند ابعاد ورق و جرم گسترده و نسبت جرم روی فرکانس های طبیعی آن بررسی شده است. با مقایسۀ نتایج به‌دست آمده با نتایج ارائهشدۀ قبلی نشان داده شده است که نتایج حاضر از دقت خوبی برخوردار است.

کلیدواژه‌ها

عنوان مقاله [English]

Vibration of FGM Plates With Distributed Mass Using Third Order Shear Deformation Theory

نویسندگان [English]

  • alireza shooshtari 1
  • Reza Motahari 2
  • Mohamadreza Kari 3
1 Bu-Ali Sina university
2 Islamic Azad University, Hamedan
3 Islamic Azad university, Saaveh
چکیده [English]

In this paper, free vibration of rectangular functionally graded material (FGM) plates with distributed patch mass is analyzed. Properties of these plates like Young’s modulus and density vary continuously throughout the thickness direction. The plate is defined by power-law, sigmoid or exponential function. The boundary condition of the plate is assumed to be simply supported and the equation of motion is obtained by using of Hamilton principle and third order shear deformation theory. The effects of different parameters such as the plate and mass dimensions and mass ratio on the natural frequencies of the plate are analyzed. Compared to previous results, our results are very accurate in similar cases.

کلیدواژه‌ها [English]

  • Free Vibration
  • rectangular plate
  • Distributed Patch Mass
  • Third Order Shear Deformation Theory

مراجع

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