استفاده از روش حل اساسی و تبدیل موجک گسسته به‌منظور کاهش هزینه ی محاسبات در تحلیل مخازن آب مستطیلی تحت اثر بارگذاری زلزله

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری سازه، دانشکده مهندسی عمران و حمل و نقل، دانشگاه اصفهان، اصفهان، ایران

2 استادیار، دانشکدهی مهندسی عمران و حمل و نقل، دانشگاه اصفهان، اصفهان، ایران

3 دانشیار، دانشکدهی مهندسی عمران و حمل و نقل، دانشگاه اصفهان، اصفهان، ایران

چکیده

مخازن آب به‌عنوان سازه‌‌های حیاتی نقش مهمی در تأمین آب آشامیدنی و ایمنی پس از زلزله دارند. لذا بررسی و درک رفتار این سازه‌‌ها در برابر بار زلزله به‌منظور طراحی دقیق این سازه‌‌ها در نزد مهندسین پر اهمیت است. استفاده از مدل‌‌سازی‌‌های عددی برای حل این‌گونه مسائل کاربرد فراوان دارد. علیرغم دقت بالای روش‌‌هایی نظیر روش اجزای محدود، این روش‌ها هزینه‌‌ی محاسباتی بالایی را به کاربران تحمیل می‌‌کنند. در واقع یکی از چالش‌‌های اساسی در حل مسائل مربوط به رفتار ارتعاشی مخازن در برابر زلزله، هزینه‌‌ی بالای محاسبات آن است. در این مقاله از روشی تحت عنوان روش حل اساسی با فرمول‌‌بندی فشار برای تحلیل این دسته از مسائل استفاده شده است. روش استفاده شده در این مقاله به‌مراتب هزینه‌‌ی محاسباتی کمتری از روش اجزای محدود دارد. از دیگر خصوصیات این روش، امکان بزرگ کردن گام زمانی حل آن در محاسبات است. بدین‌منظور از تبدیل موجک گسسته که در سال‌‌های اخیر به‌عنوان روشی مناسب برای کاهش نمونه‌‌برداری امواج گسسته پیشنهاد شده، استفاده می‌‌شود. این بدان‌معناست که در این روش می‌‌توان در مخازنی با ابعاد واقعی بعضاً گام زمانی حل را با دقتی قابل قبول تا 0/16 ثانیه نیز در نظر گرفت. بدین‌منظور ابتدا روش ارائه شده برای نتایج آزمایشگاهی صحت‌‌سنجی می‌‌شود و سپس سازه‌‌ی یک مخزن با ابعاد واقعی تحت بار 10 رکورد زلزله تحلیل می‌‌گردد. نتایج ارائه شده در این مقاله نشان می‌‌دهد که استفاده از این روش می‌‌تواند هزینه‌‌ی محاسبات را با دقت مناسب در بعضی از رکوردهای زلزله‌‌ تا بیش از 90 درصد کاهش دهد.

کلیدواژه‌ها

موضوعات

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  • تاریخ دریافت: 25 اسفند 1400
  • تاریخ بازنگری: 06 شهریور 1401
  • تاریخ پذیرش: 10 مهر 1401

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