میرایی متغیر در تحلیل ناخطی هندسی صفحه‌های خمشی به‌روش رهایی پویا

علوم کاربردی و محاسباتی در مکانیک

مقاله 6، دوره 28، شماره 2 - شماره پیاپی 16، شهریور 1396، صفحه 115-142   

نوع مقاله: مقاله پژوهشی

شناسه دیجیتال (DOI): 10.22067/fum-mech.v28i2.49314

نویسندگان

محمد رضایی پژند^{* 1}؛ حسین استیری²

¹دانشگاه فردوسی مشهد

²گروه عمران، دانشکده مهندسی، دانشگاه فردوسی مشهد

چکیده

هدف اصلی این مقاله، تحلیل ناخطی صفحه‌های خمشی با فن تفاوت محدود است. راهکار رهایی پویا بر پایۀ میرایی متغیر رابطه‌سازی خواهد شد. برای رسیدن به همگرایی مناسب، از سه معیار سرعت، کارمایۀ جنبشی و نسبت جا‌به‌جایی دو گام پیاپی بهره‌جویی می‌شود. برای مسئله‌های گوناگون صفحۀ خمشی، مقایسۀ پاسخ‌های حل با میرایی متغیر و ثابت انجام می‌پذیرد. تجربه‌های عددی نشان می‌دهند که میرایی متغیر، شایسته‌تر از گونۀ ثابت است. با وجود این، روش پیشنهادی نویسندگان سبب کاهش شمار تکرارها و زمان تحلیل خواهد شد. آشکار می‌شود که با وجود توانایی‌های تفاوت محدود، این روش به انتخاب پاره‌ای از عامل‌ها بسیار حساس می‌باشد؛ به گونه‌ای که تغییر اندک در مقدار این عامل‌ها، سبب افزایش شمار تکرارها و زمان تحلیل و گاه واگرایی پاسخ خواهد شد. دیگر هدف این مقاله، مرور کوتاهی بر پژوهش‌های راه حل رهایی پویای صفحه‌های خمشی می‌باشد.

کلیدواژه‌ها

رهایی پویا؛ تفاوت‌های محدود؛ میرایی؛ معیار همگرایی؛ صفحۀ خمشی؛ تغییرشکل‌های بزرگ

سایر فایل های مرتبط با مقاله

EA-8 Pajand- nahayi.pdf

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