تحلیل کمانش پوسته ساندویچی مخروطی با هسته هدفمند متخلخل در شرایط حرارتی مختلف

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری، دانشکده مهندسی صنایع و مکانیک، دانشگاه آزاد اسلامی، واحد قزوین، قزوین، ایران

2 استادیار، دانشکده مهندسی صنایع و مکانیک، دانشگاه آزاد اسلامی، واحد قزوین، قزوین، ایران

3 استادیار، دانشکده مهندسی مکانیک، دانشگاه آزاد اسلامی، واحد تاکستان، تاکستان، ایران

چکیده

در این تحقیق، برای اولین بار، با در نظر گرفتن انعطاف‌پذیری هسته در تئوری مرتبه بالای پوسته‌های ساندویچی، رفتار کمانشی پوسته ساندویچی مخروطی ناقص که شامل هسته هدفمند متخلخل و رویه‌های همگن است، در توزیع دماهای مختلف بررسی می‌شود. از مواد با خواص وابسته به دما در هسته و رویه‌ها استفاده می‌گردد و برای مدل‌سازی تغییر تدریجی خواص مواد هدفمند از قانون توانی که با در نظر گرفتن دو مدل توزیع تخلخل اصلاح می‌شود، استفاده می‌شود. به کمک اصل مینیمم انرژی پتانسیل و با در نظر گرفتن تنش‌های درون صفحه‌ای هسته و رویه‌ها و کرنش غیرخطی ون کارمن هم برای تنش مکانیکی و هم تنش حرارتی، معادلات تعادل سازه در معرض بار فشاری درون صفحه‌ای محوری به دست می‌آیند. از روش گلرکین برای حل معادلات حاکم در شرایط تکیه‌گاهی ساده، دو سرگیردار و گیردار-آزاد بهره برده می‌شود. برای بررسی اثر تغییر دما بر روی سازه، توزیع دما به صورت یکنواخت، خطی و غیرخطی در نظر گرفته می‌شود. برای صحت‌سنجی روش، نتایج تحلیل کار حاضر در حالات خاص با مقالات دیگر و همچنین با نتایج بدست آمده از نرم‌افزار آباکوس مقایسه می‌شود. تغییرات بار بحرانی بی‌بعد نسبت به تغییرات هندسی سازه، تغییرات دما، خواص مواد و تخلخل بررسی خواهد شد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Buckling Analysis of Truncated Conical Sandwich Panel with Porous Functionally Graded Core in Different Thermal Conditions

نویسندگان [English]

  • Mohsen Rahmani 1
  • Younes Mohammadi 2
  • Farshad Kakavand 3
  • Hamed Raeisifard 2
1 Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University Qazvin, Iran
2 - Department of Mechanical Engineering, Islamic Azad University, Qazvin, Iran
3 Department of Mechanical Engineering, Takestan Branch, Islamic Azad University, Takestan, Iran
چکیده [English]

In this paper, for the first time, by considering the flexibility of the core in the high order theory of sandwich shells, the buckling behavior of the truncated conical sandwich shells which include a temperature-dependent porous functionally graded core and two temperature-dependent homogeneous face sheets are investigated in various thermal conditions. The power-law rule which modified by considering the two types of porosity volume fractions is applied to model the gradual variation of functionally graded materials. By applying the principle of minimum potential energy, considering the in-plane stresses in the core and faces, and nonlinear von-Karman strains for both mechanical and thermal stresses, the governing equations are obtained under the axial in-plane compressive loads. A Galerkin procedure is used to solve the equations in a simply supported, clamped and clamped-free boundary conditions. Uniform, linear and nonlinear temperature distributions are used to model the effect of the temperature changing in the sandwich shell. To verify the results of these work, they are compared with finite element method results obtained by ABAQUS software and for special cases with the results in literature. Critical load variations are surveyed versus the temperature changing, geometrical effects, porosities, and some others in the numerical examples.

کلیدواژه‌ها [English]

  • High order sandwich shell theory
  • Conical sandwich
  • Functionally graded core
  • Porosity
  • Temperature distribution

مراجع

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نشریه مهندسی مکانیک امیرکبیر
دوره 52، شماره 10
دی 1399
صفحه 2859-2878

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