آنالیز پایداری دینامیکی ورق میندلین‌ مستطیلی در تماس با سیال تحت عبور جسم‌های صلب نوسان کننده

علوم کاربردی و محاسباتی در مکانیک

مقاله 5، دوره 34، شماره 4 - شماره پیاپی 30، دی 1401، صفحه 65-88   

نوع مقاله: مقاله پژوهشی

شناسه دیجیتال (DOI): 10.22067/jacsm.2022.71262.1037

نویسنده

مهران قمشی بزرگ^*

استادیار دانشکده مهندسی مکانیک، دانشگاه صنعتی جندی شاپور، دزفول، ایران.

چکیده

در این مقاله، پایداری دینامیکی یک ورق مستطیلی نسبتا ضخیم شناور بر روی یک سیال ساکن تحت حرکت متناوب جسم‌های صلب نوسان کننده‌ متحرک مطالعه شده است. هر دو انتهای جسم صلب از طریق یک سیستم تعلیق به یک چرخ متصل شده‌اند. اثر نیروی سیال بر روی ورق با استفاده از روش جرم افزوده مدل شده است. با استفاده از روش مودهای فرضی، مبتنی بر تئوری ورق میندلین معادلات حاکم استخراج شده‌اند. تئوری فلاکه به عنوان یک روش عددی برای تعیین نواحی پایدار و ناپایدار در صفحه پارامترها بکارگرفته می‌شود. با درنظرگرفتن مدل جسم نقطه‌ای متحرک، اثر مدل‌سازی جسم متحرک بر روی نتایج آنالیز پایداری نیز بررسی شده است. نتایج نشان می‌دهند که تماس ورق با سیال، شرایط مرزی ورق، ضخامت ورق، سختی و میرایی سیستم تعلیق، نسبت جرم چرخ به جرم کل جسم صلب، طول جسم صلب و روش مدل‌سازی بر روی نواحی پایدار و ناپایدار سیستم کاملا موثر هستند.

کلیدواژه‌ها

ورق میندلین؛ جسم صلب نوسان کننده‌؛ پایداری دینامیکی؛ تئوری فلاکه

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