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

علوم کاربردی و محاسباتی در مکانیک

مقاله 7، دوره 29، شماره 2 - شماره پیاپی 18، شهریور 1397، صفحه 71-88   

نوع مقاله: مقاله پژوهشی

شناسه دیجیتال (DOI): 10.22067/fum-mech.v29i2.61392

نویسندگان

مریم شمسا¹؛ محمدرضا گلبهار حقیقی^{* 2}؛ پرویز ملک زاده²

¹دانشگاه خلیج فارس بوشهر

²خلیج 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

مواد مدرج تابعی؛ انتقال حرارت؛ روش گرادیان مزدوج؛ مسائل معکوس؛ منبع حرارتی

سایر فایل های مرتبط با مقاله

EA-5-Golbahar.pdf

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