شناسایی آسیب و به روزرسانی مدل با استفاده ازروش نیروی باقی مانده مودال والگوریتم های بهینه یابی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 گروه مهندسی عمران، واحد ارومیه، دانشگاه آزاد اسلامی، ارومیه، ایران.

2 گروه مهندسی عمران، دانشگاه شهید مدنی آذربایجان، تبریز، ایران.

10.22091/cer.2025.11502.1584

چکیده

در حال حاضر، تشخیص خرابی‌های سازه‌ها به‌عنوان روشی بسیار حیاتی و ضروری در تمامی رشته‌های مهندسی به‌شمار می‌رود. این روش با فراهم کردن شرایط لازم برای افزایش عمر مفید سازه‌ها و جلوگیری از گسترش آسیب، به بهبود کیفیت زندگی و ایمنی افراد کمک می‌کند. یکی از روش‌های کارآمد و پرکاربرد برای تشخیص خرابی‌ها، استفاده از اثرات آن‌ها بر پاسخ‌های دینامیکی یا استاتیکی سازه‌ها می‌باشد. این روش می‌تواند به‌عنوان یک شاخص کلیدی برای تشخیص و تحلیل خرابی‌ها و نقاط آسیب‌پذیر در سازه‌ها مورد استفاده قرار گیرد. در این مقاله، از یک روش به‌روزرسانی مدل برای تشخیص و تعیین مکان‌های ممکن آسیب‌دیده در سازه‌ها استفاده‌ شده است. همچنین، برای ارزیابی میزان آسیب، یک تابع هدف جدید با عملکرد مطلوب براساس ترکیب نیروی باقی‌مانده مودال و فرکانس‌های طبیعی ارائه ‌شده است. این تابع هدف با استفاده از الگوریتم‌های تعادلی، تکاملی تفاضلی، دسته‌بندی پروانه‌ها و بهینه‌سازی شیر مورچه، مکان و شدت آسیب‌های موجود را تعیین می‌کند. برای ارزیابی دقت و صحت تئوری ارائه‌شده، دو مثال عددی انجام ‌شده است که شامل دو خرپای سه‌بعدی با 25 و 72 المان است. این مثال‌ها شامل دو سناریوی آسیب دوگانه و چهارگانه در المان‌ها بوده و نتایج نشان داده است که این تئوری قادر است با دقت بسیار بالا مکان و شدت آسیب‌ها را در حضور اطلاعات نویزدار تشخیص دهد و به‌طور مؤثر در تصحیح و بهبود کیفیت و ایمنی سازه‌ها عمل کند.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Identification of Damage and Model Updating Using Residual Force Modal Analysis and Optimization Algorithms

نویسندگان [English]

  • Reza Aghajani 1
  • Omid Azizpour Miandoab 1
  • Seyed Sina Kourehli 2
  • Ashkan Khodabandehlou 1
1 Department of Civil Engineering, Urmia Branch, Islamic Azad University, Urmia, Iran.
2 Department of Civil Engineering, Azarbaijan Shahid Madani University, Tabriz, Iran.
چکیده [English]

Currently, detecting structural failures is considered a highly vital and essential method in all branches of engineering. This method assists in improving the quality of life and safety by providing the necessary conditions to increase the useful life of structures and prevent the spread of damage. One of the efficient and widely used methods for detecting failures is to utilize their effects on the dynamic or static responses of structures. This method can serve as a key indicator for detecting and analyzing failures and vulnerable points in structures. In this article, a model updating approach has been employed to detect and determine possible damaged locations in structures. Additionally, a new objective function has been proposed to evaluate the extent of damage based on the combination of residual modal forces and natural frequencies. This objective function, using equilibrium algorithms, differential evolution, cluster analysis, and ant colony optimization, determines the location and severity of existing damages. To assess the accuracy and validity of the presented theory, two numerical examples have been conducted, involving two three-dimensional footings with 25 and 72 elements. These examples cover dual and quadruple damage scenarios in the elements, demonstrating that this theory is capable of accurately detecting the locations and severity of damages in the presence of noisy data and effectively contributing to the correction and improvement of the quality and safety of structures.

کلیدواژه‌ها [English]

  • Model Updating
  • Damage Detection
  • Modal Analysis
  • Residual Force Modal
  • Optimization Algorithms

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