حل تحلیلی کمانش ورق های ساندویچی هدفمند با لایه های پیزوالکتریک در دو حالت مدار باز و بسته

نوع مقاله : مقاله پژوهشی

نویسندگان

1 فردوسی مشهد

2 دانشگاه شهید باهنر کرمان

چکیده

در مقالۀ حاضر، بر پایۀ تئوری کلاسیک ورق، کمانش ورق های مستطیلی هدفمند کوپله شده با لایه های پیزوالکتریک تحلیل شده است. با فرض این‌که توزیع عرضی تابع پتانسیل الکتریکی ترکیبی از دو تابع خطی و درجه دوم باشد، معادلات تعادل برای تحلیل کمانش ورق با لایه‌های پیزوالکتریک حاصل شد. معادلۀ ماکسول و همۀ شرایط مرزی شامل شرایط روی سطوح بالا و پایین ورق برای مدار باز و بسته و شرایط مرزی لوی ارضا شدند. نتایج نشان داد که بار بحرانی کمانش در حالت مدار باز بیشتر از مدار بسته است. هم‌چنین بار بحرانی کمانش با افزایش ضخامت لایۀ پیزوالکتریک افزایش می‌یابد.

کلیدواژه‌ها


عنوان مقاله [English]

Analytical Solution for Buckling of FGM Plates with Integrated Piezoelectric Layers under Open and Closed Circuit Conditions

نویسندگان [English]

  • Ali Ghasemabadian 1
  • Ali Reza Saidi 2
1 Ferdowsi University of Mashhad
2 Bahonar Kerman
چکیده [English]

In the present paper, based on the classical plate theory, buckling analysis of piezoelectric coupled FGM rectangular plates is investigated. By assuming the transverse distribution of electric potential to be a combination of a parabolic and a linear function of thickness, the equiblirium equations for buckling analysis of plate with surface bonded piezoelectric layers are established. The Maxwell’s equation and all boundary conditions including the conditions on the top and bottom surfaces of the plate for closed and open circuited and Levy type of boundary conditions are satisfied. Numerical results show that, the critical buckling load for open circuit is more than that of closed circuit. Furthermore, the critical buckling loads increase by increasing the thickness of piezoelectric layers.

کلیدواژه‌ها [English]

  • Buckling, piezoelectric
  • rectangular plate
  • open circuit
  • closed circuit
  • functionally graded material
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