تخمین هم‌زمان مکان و شدت منبع حرارتی در ورق مدرج تابعی به‌وسیلۀ حل معکوس

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشگاه خلیج فارس بوشهر

2 خلیج فارس بوشهر

چکیده

در این مقاله پارامترهای مکانی و شدت منبع حرارتی نقطه‌ای و گستردۀ متغیر با زمان برای یک ورق مستطیلی مدرج تابعی به‌وسیلۀ الگوریتم معکوس برمبنای روش گرادیان مزدوج تخمین زده خواهد شد. این کار به‌وسیلۀ اندازه‌گیری دما روی مرزهای ورق انجام می‌گیرد. فرض بر این است که هیچ اطلاع اولیه‌ای از مکان منبع و تابع شدت منبع حرارتی در دسترس نیست، بنابراین روند تخمین با یک حدس اولیۀ دلخواه آغاز می‌گردد. برای گسسته‌سازی معادلات حاکم از روش اجزامحدود برای مشتقات مکانی و روش کرنک نیکلسون برای گسسته‌سازی مشتقات زمانی استفاده گردیده است. در این مقاله برای اولین‌‌بار به تخمین هم‌زمان مکان و شدت منبع حرارتی در ورق مدرج تابعی، پرداخته شده است. علاوه‌بر‌این در تخمین منبع حرارتی، هم منبع نقطه‌ای و هم منبع گسترده مورد بررسی قرار گرفته‌اند.

کلیدواژه‌ها


عنوان مقاله [English]

Simultaneous Estimation of Location and Strength of a Heat Source in a Functionally Graded Plate by Inverse Analysis

نویسندگان [English]

  • maryam shamsa 1
  • mohammadreza golbaharhaghighi 2
  • parviz malekzadeh 2
1 persian gulf
2 persian gulf
چکیده [English]

In this article, an inverse algorithm based on the conjugate gradient method is applied to estimate the unknown location and time-wise varying strength of the point and distributed heat source in functionally graded rectangular plate from the knowledge of temperature measurements taken from the boundaries of plate. It is assumed that no prior information is available on the functional form of time-wise variation of the heat source strength so estimation process starts with an arbitrary initial guess. The conjugate gradient method is employed for optimization process and the finite element method is applied to solve the governing differential equations. Results show that the estimation of location and strength of point heat source can be obtained with any arbitrary initial guesses..

کلیدواژه‌ها [English]

  • Functionally Graded Materials
  • Heat transfer
  • Conjugate Gradient Method
  • Inverse Problems
  • Heat Source
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