بررسی کمانش ورق‌های کامپوزیت لایه‌ای ضخیم بر اساس تئوری زیگزاگ و تئوری برشی مرتبه سه به روش نوار محدود

نویسندگان

دانشکده مهندسی عمران و حمل و نقل، گروه مهندسی عمران، دانشگاه اصفهان

چکیده

در این مقاله به بررسی چگونگی استفاده از روش نوار محدود در تحلیل ورق‌های کامپوزیت لایه‌ای ضخیم پرداخته می‌شود. در این روش، از توابع مثلثاتی در جهت طولی نوارها برای شرایط مرزی مفصلی و از توابع هرمیتی و لاگرانژی در جهت عرضی استفاده شده است. تحلیل حاضر بر اساس تئوری تغییر شکل برشی مرتبه سوم ردی و تئوری زیگزاگ مرتبه‌ بالای چو انجام شده است. از مفهوم کار مجازی برای استخراج ماتریس‌های سختی و هندسی استفاده و به‌کمک روش نوار محدود این ماتریس‌ها گسسته‌سازی شده‌اند. در ادامه به بررسی نتایج حاصل از کمانش ورق‌های تک‌‌لایه و چندلایه برای انواع شرایط مرزی، نسبت ابعاد به ضخامت، نسبت مدول الاستیسیته و زاویه‌ الیاف مختلف پرداخته می‌شود.

کلیدواژه‌ها


عنوان مقاله [English]

Buckling of Thick Laminated Composite Plates Based on Zigzag and Third order Shear Deformation Theories using the Finite Strip Method

نویسندگان [English]

  • H. Tanzadeh
  • H. Amoushahi
چکیده [English]

A semi-analytical finite strip method was developed for the buckling analysis of laminated composite plates based on zigzag and third order shear deformation theories. The displacement functions of the plates were evaluated using a continuous harmonic function series in the longitudinal direction that satisfied the simply supported boundary conditions and a piecewise interpolation polynomial in the transverse direction. By considering the displacement-strain relations and strain-stress relations, the standard and geometric matrices were evaluated using the virtual work principle. The numerical results related to the buckling of single-layer and multi-layer plates were presented based on two different plate theories. The effects of different  boundary conditions, length to thickness ratio, fiber orientation and modulus of elasticity were also investigated through numerical examples.

کلیدواژه‌ها [English]

  • Buckling
  • Laminated Composite Plates
  • Zigzag Theory
  • Third order Shear Deformation Plate Theory
  • Finite Strip Method
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