بررسی ارتعاشات غیرخطی میکرو لوله حامل سیّال تحت تحریک پارامتریک مغناطیسی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشگاه آزاد اسلامی واحد سلماس

2 دانشگاه تبریز

چکیده

در این پژوهش، اثر پارامترهای مختلف سیستم روی پاسخ غیرخطی نوسانات جانبی میکرولوله تیرمانند حاوی سیّال با شرایط مرزی دو سر ساده نامتحرک تحت شرایط تشدید پارامتریک مغناطیسی محوری بررسی می­شود. از تئوری تغییر شکل‌های برشی مرتبۀ اوّل ردی و تئوری الاستیسیته غیرمحلی ارینگن برای استخراج معادلات غیرخطی حاکم بر حرکات جانبی میکرولوله با لحاظ کردن جملات غیرخطی هندسی ون‑کارمن استفاده می­شود. در سرعت‌های جریان بالاتر از سرعت بحرانی آستانه فلاتر (متناظر با کوپلینگ مو‌دهای اوّل و دوم)، رفتار سیستم غیرخطی دو درجۀ آزادی تحت شرایط تشدید پارامتریک مغناطیسی تحلیل می­شود. با استخراج منحنی‌های پاسخ غیرخطی، اثرات پارامتر‌های دامنۀ تحریک مغناطیسی، پارامتر فرکانس تحریک و پارامتر غیرمحلی تنش روی دامنۀ تشدید سیستم بررسی و مورد بحث قرار می­گیرد.

کلیدواژه‌ها


عنوان مقاله [English]

Nonlinear Vibration Analysis of Fluid Conveying Microtube under Parametric Magnetic Excitation

نویسندگان [English]

  • Akbar Allahverdizadeh 2
  • Behnam Dadashzadeh 2
  • Hamid Azimzadeh 1
2 University of Tabriz
چکیده [English]

In this research, effects of various system parameters on nonlinear response of transverse vibrations of beam-like fluid conveying microtube with fixed simply supported boundary conditions under axial magnetic parametric resonance condition is investigated. Reddy’s first order shear deformation theory and Eringen nonlocal elasticity theory are used to derive microtube nonlinear equations of transverse motion considering nonlinear geometric terms of von-Karman. For fluid flow velocities more than flutter critical velocity, behavior of 2 DoF nonlinear system is studied under parametric magnetic resonance condition. By deriving nonlinear response curves, effects of various parameters including magnetic excitation amplitude, parameter of excitation frequency and nonlocal stress parameter on resonance amplitude is investigated and discussed.

کلیدواژه‌ها [English]

  • Nonlinear vibrations
  • Fluid Conveying Microtube
  • Parametric Magnetic Resonance
  • Nonlocal Elastisity Theory
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