تحلیل دینامیکی احتمال‌اندیشانه سازه‌های استوانه‌ای متخلخل اشباع چندلایه با بهره‌جویی از روش بدون شبکه پتروف-گلرکین محلی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشگاه فردوسی مشهد

2 عضو هیات علمی گروه مهندسی سازه دانشگاه فردوسی مشهد

3 دانشگاه صنعتی قوچان

چکیده

در این پژوهش از روش بدون‌شبکه پتروف-گلرکین محلی احتمال‌اندیشانه برای تحلیل دینامیکی سازه‌های استوانه‌ای چندلایه ساخته‌شده از مواد متخلخل کاملاً اشباع با درنظرگرفتن عدم‌قطعیت در خواص مکانیکی استفاده شده است. فرض شده است که سازه استوانه‌ای چندلایه متخلخل تحت بار ضربه‌ای باشد. برای تقریب تابع‌های میدان در روش بدون‌شبکه، از توابع پایه شعاعی استفاده شده است. از شبیه‌سازی مونت‌کارلو برای تحلیل احتمال‌اندیشانه با درنظرگرفتن عدم‌قطعیت در خواص مکانیکی استفاده شده است. متغیرهای تصادفی مختلف با تابع‌های چگالی احتمال نرمال، لگ‌نرمال و یکنواخت با ضرایب پراکندگی‌ مختلف، شبیه‌سازی می‌شوند. در نظر گرفتن اثر میرایی در مدل‌سازی تحلیل‌های دینامیکی امری اجتناب‌ناپذیر است. از این رو در ادامه پژوهش، تاثیر میرایی در مقدار تغییرمکان و تنش ایجادشده در سازه‌های متخلخل چندلایه مورد تحلیل و بررسی قرار گرفت. نتایج بدست‌آمده از تحلیل احتمالاتی با نتایج حاصل از تحلیل با درنظرگرفتن خصوصیات مکانیکی قطعی مقایسه شده است. نتایج نشان می‌دهد که عدم‌قطعیت در خصوصیات مکانیکی تأثیر مهمی بر پاسخ‌های سازه‌ای به‌ویژه برای مقادیر بزرگ ضریب پراکندگی دارد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Stochastic Dynamic Analysis of Multilayer Saturated Porous Cylindrical Structures Using the Meshless Local Petrov-Galerkin Method

نویسندگان [English]

  • Masoud Hamidifard 1
  • Farzad Shahabian 2
  • mohammad hosein Ghadiri Rad 3
1 Ferdowsi University of Mashhad
2 Ferdowsi University of Mashhad
3 Quchan University of Technology
چکیده [English]

The stochastic meshless local Petrov–Galerkin method is employed for dynamic analysis of multilayer cylinders made of fully saturated porous materials considering uncertainties in the constitutive mechanical properties. The multilayer porous cylinder is assumed to be under shock loading. To approximate the trial functions in the radial point interpolation method  (RPIM), the radial basis functions (RBFs) are utilized. The Monte Carlo simulation is used to generate the random fields for mechanical properties. The results are obtained for various random variables, which are simulated by uniform, normal and lognormal probability density functions with various coefficients of variation (COV), changing from 0 to 20%. The obtained results from the presented stochastic analysis are compared to those obtained from the analysis considering deterministic mechanical properties. The results show that the uncertainty in mechanical properties has a significant effect on the structural responses, especially for big values of COVs.

کلیدواژه‌ها [English]

  • Stochastic Dynamic Analysis
  • Multilayer Cylindrical Structures
  • Saturated Porous Materials
  • Meshless Local Petrov-Galerkin (MLPG) Method

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