بررسی تأثیر خواص مکانیکی مواد در حل مسئله معکوس شناسایی به‌وسیله الگوریتم‌های بهینه‌سازی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار، گروه مهندسی مکانیک، دانشگاه فنی و حرفه‌ای، تهران، ایران

2 دانشیار، گروه مهندسی مکانیک، دانشگاه اردکان، اردکان، ایران

چکیده

تعیین ساختار داخلی اجسام مانند شناسایی ناخالصی‌ها، تعیین خواص مکانیکی و شناسایی مرزهای داخلی و حفره‌ها، یکی از موضوعات مهم در صنایع می‌باشد. در این مقاله، تأثیر خواص مکانیکی مواد و تأثیر محل مرز مشترک آن‌ها در حل مسئله معکوس شناسایی مرزهای داخلی یک جسم ناهمگن، متشکل از دو جسم همگن به همراه تخمین هم‌زمان مدول الاستیسیته و ضریب پواسون مواد تشکیل‌دهنده آن، مورد بررسی قرار گرفته است. حل مسئله معکوس شناسایی با استفاده از ترکیب روش عددی المان‌های مرزی به همراه روش بهینه‌سازی الگوریتم رقابت استعماری به‌عنوان روش بهینه‌سازی همگانی و روش سیمپلکس به‌عنوان روش بهینه‌سازی محلی انجام شده ‌است. از نتایج به دست آمده می‌توان به کارایی روش بهینه‌سازی رقابت استعماری و روش سیمپلکس در تخمین خواص مکانیکی دو ماده به همراه شناسایی مرز بین آن‌ها پی برد. همچنین از نتایج به دست آمده مشاهده می‌شود که با نزدیک شدن مرز به قسمت پایینی ماده و نزدیک شدن خواص مکانیکی مواد تشکیل دهندۀ جسم، میزان خطای تخمین مرز برای مثال‌های حل شده تا 65/8% افرایش می‌یابد که باز نشان‌دهنده توانایی این روش برای تخمین مرز می‌باشد. همچنین در بررسی اثر خطاهای غیرقابل‌اجتناب در اندازه‌گیری جابجایی‌ها، با افزایش درصد خطا، همگرایی به مرز واقعی کمتر شده به‌طوری‌که برای خطای 5% به بالا هندسه مرزهای داخلی به مرزهای غیرواقعی همگرا شده و دیگر اعتباری به محاسبات نیست.

کلیدواژه‌ها

عنوان مقاله [English]

Investigation the effect of mechanical properties of materials in solving the inverse identification problem by means of optimization algorithms

نویسندگان [English]

  • Mohammad Hossein Mozaffari 1
  • Mehdi Zare Mehrjardi 2
1 Department of Mechanical Engineering, Technical and Vocational University (TVU), Tehran, Iran
2 Department of Mechanical Engineering, Ardakan University, Ardakan, Iran
چکیده [English]

Determining the internal structure of objects such as identification of impurities, estimation of mechanical properties and identification of internal boundaries and cavities is one of the important issues in industries. Objective of the present article is to investigate the effect of the mechanical properties and the effect of the location of the interfacial boundary in solving the inverse problem of identifying the internal boundaries of a Non- homogeneous body, consisting of two homogeneous bodies, along with the estimation of the modulus of elasticity and Poisson's ratio of its components. The solution has been done using the combination of the numerical method of boundary elements method along with the optimization method of the Imperialist Competitive Algorithm (ICA) and the simplex method. The obtained results, show the effectiveness of the ICA optimization and the simplex method in estimating the mechanical properties and identifying the interfacial boundary configurations. But, as the boundary approaches the lower part of the material and the mechanical properties approach, the boundary estimation error increases to 8.65% for the solved examples, which again indicate the strength of this method to estimate the boundary. Also, in the investigation of the effect of unavoidable errors in the measurement of displacements, with the increase in the error percentage, the convergence to the real boundary is reduced, so that for error greater than 5%, the geometry of the internal boundaries converges to unrealistic boundaries and the calculations are no longer valid.

کلیدواژه‌ها [English]

  • Imperialist Competitive Algorithm (ICA)
  • Non-homogeneous Body
  • Boundary Elements Method (BEM)
  • Simplex Optimization Method
  • Identification of Boundaries

مراجع

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