رفتار ارتعاشاتی میکروتیر مدرج محوری ویسکوالاستیک چرخان با حرکت طولی تحت بار محوری در میدان مغناطیسی براساس تئوری تنش کوپل اصلاح شده

نوع مقاله : مقاله مستقل

نویسندگان

1 دانشجوی کارشناسی ارشد، مهندسی مکانیک، دانشگاه تربیت مدرس، تهران

2 دکتری تخصصی، دانشکده مهندسی برق، مکانیک و کامپیوتر، دانشگاه ایوان‌کی، ایوان‌کی، ایران

چکیده

رفتار ارتعاشاتی یک میکروتیر مدرج محوری با جفت حرکت‌های محوری و چرخشی تحت بارهای محوری در یک میدان مغناطیسی براساس تئوری تنش کوپل اصلاح شده بررسی شده است. یک مطالعه مفصل به‌منظور تحلیل اثر فاکتورهای مختلف مانند نرخ درجه‌بندی محوری مواد، نوع توزیع مواد، ضریب ویسکوزیته، شدت میدان مغناطیسی، پارامتر مقیاس طولی ماده، چرخش و حرکت عبوری کوپل بر مشخصات دینامیکی سیستم انجام‌شده است. فرض شده است مشخصات مادی سیستم در راستای طولی به‌صورت خطی یا نمایی تغییر می‌کنند. با استفاده از تکنیک گسسته سازی گالرکین و تحلیل مقدار ویژه، سرعت‌های محوری و چرخشی بحرانی سیستم به دست می‌آیند. یک روش تحلیلی نیز برای شناسایی آستانه‌های ناپایداری سیستم به‌کاربرده شده است. نقشه‌های پایداری سیستم آزموده شدند و نشان داده‌شده است که با افزایش شدت میدان مغناطیسی و پارامتر مقیاس طولی، پایداری سیستم بهبود می‌یابد. همچنین نتایج نشان داده‌اند که با تعیین هم‌زمان گرادیان چگالی و مدول الاستیک در راستای طولی می‌توان اثرات مخرب نیروی محوری فشاری را کاهش داد.

کلیدواژه‌ها


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