ارائه روشی کارآمد برای اعمال بار گسترده بر سطوح دارای انحنا در تحلیل هم‌هندسی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 گروه مهندسی عمران، دانشگاه فردوسی مشهد

2 گروه مهندسی مکانیک، دانشگاه فردوسی مشهد

چکیده

روش تحلیل هم‌هندسی با هدف کاهش فاصله بین تحلیل و طراحی به کمک رایانه معرفی شده است. این روش دارای مزایایی همچون مدل‌سازی دقیق هندسه، روش‌های بهبودسازی مناسب، راحتی دستیابی به توابع مرتبه بالا و دقت بالاتر در محاسبات است. هدف این پژوهش، ارائه روشی کارآمد برای اعمال بارهای گسترده بر سطوح دارای انحنا در تحلیل هم‌هندسی است. یکی از چالش‌های اصلی در این روش، نحوه اعمال شرایط مرزی بر روی هندسه‌های پیچیده است. در مدل‌های دارای انحنا، برخی از نقاط کنترلی روی هندسه قرار نمی‌گیرند که موجب ابهام در توزیع بار روی این نقاط می‌شود. در این پژوهش، از توابع نربز که توابعی غیردرون‌یاب و استاندارد در سامانه‌های طراحی رایانه‌ای هستند، برای تقریب فضای حل و توصیف هندسه‌ استفاده شده است. همچنین، به منظور استفاده از قابلیت‌های ابزارهای طراحی به کمک رایانه، نحوه واردکردن هندسه‌های ایجاد شده در نرم‌افزار راینو به تحلیل هم‌هندسی با استفاده از فرآیند استخراج بزیه توضیح داده می‌شود. نتایج بدست آمده، صحت و کارآیی روش پیشنهادی را تأیید می‌کنند.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

An efficient method for applying distributed loads on curved surfaces in isogeometric analysis

نویسندگان [English]

  • Morteza Barati 1
  • Farzad Shahabian 1
  • Behrooz Hassani 2
1 Department of Civil Engineering, Ferdowsi Unsiversity of Mashhad
2 Department of Mechanical Engineering, Ferdowsi University of Mashhad
چکیده [English]

The isogeometric method was introduced to bridge the gap between computer-aided design (CAD) and analysis. This method offers advantages such as precise geometric modeling, suitable refinement methods, easy access to higher-order functions, and higher computational accuracy. The aim of this research is to provide an efficient method for applying the distributed loads on curved surfaces in isogeometric analysis. One of the main challenges in this method is how to apply boundary conditions on complex geometries. In curved models, some control points may not lie on the geometry, leading to ambiguity in the distribution of loads on these points. This study uses NURBS functions, which are standard non-interpolatory functions in CAD systems, to approximate the solution space and describe the geometry. Additionally, to leverage the capabilities of CAD tools, the process of importing geometries created in Rhino into isogeometric analysis using Bézier extraction is explained. The results confirm the accuracy and efficiency of the proposed method.

کلیدواژه‌ها [English]

  • Isogeometric Method
  • NURBS
  • Distributed Loads
  • Curved Surfaces
  • Bézier Extraction

مراجع

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