بررسی تحلیلی ارتعاشات آزاد ساختارهای مختلف نانو لوله های برن نیترید تحت تنش اولیه

نوع مقاله : گرایش دینامیک، ارتعاشات و کنترل

نویسندگان

صنعتی سیرجان

چکیده

در این مقاله اثرات مدول الاستیسیته ساختارهای مختلف (زیگزاگ، کایرال، آرمچیر) بر پاسخ ارتعاشی نانو لوله­ برن نیترید تحت تاثیر تنش اولیه به­صورت تحلیلی بررسی شده است. با استفاده از فرضیات تئوری­های تیر اویلر برنولی و تیر تیموشنکو و تئوری الاستیسیته غیرمحلی، معادلات حاکم بر حرکت و شرایط مرزی با استفاده از اصل همیلتون استخراج شده است. شرایط مرزی بررسی شده، دوسر مفصل، دوسر گیردار، یکسر مفصل– یکسر گیردار و یکسر گیردار- یکسر آزاد است. همچنین مدول الاستیسیته ساختارهای مختلف مورد مطالعه و تاثیر آنها بر روی مقادیر فرکانس طبیعی سامانه بررسی شده است. در نهایت، تاثیر پارامترهای مختلف از جمله قطر نانولوله، اثر تنش اولیه، پارامتر غیرمحلی و پارامتر­های هندسی نانو­لوله برن نیترید بر روی فرکانس طبیعی انواع ساختار­ها بررسی شده است. نتایج نشان می­دهد که افزایش پارامتر غیرمحلی و اثرات تنش اولیه منجر به کاهش فرکانس طبیعی می­شود. از سویی دیگر مشاهده شد که افزایش قطر نانو­لوله موجب افزایش فرکانس سامانه شده و با افزایش قطر بیشتر از 6/0 نانومتر، تغییری در نتایج مشاهده نمی­شود.

کلیدواژه‌ها

عنوان مقاله [English]

Analytical Analysis for Free Vibration of Different Arrangements of BNNTs under Initially Stress

نویسندگان [English]

  • mohammad hoseini
  • abbas zandi baghche maryam
sirjan
چکیده [English]

In this research, an analytical analysis is used to investigate the effects of elasticity modulus of different arrangements (zigzag, chiral, armchair) on the vibrations responses of boron nitride nanotubes (BNNTs) under initially stress. By using the Euler– Bernoulli and Timoshenko nonlocal elasticity theories, the governing equation of motion and boundary conditions are derived via Hamilton’s principle. The analysis considers beams with four different boundary conditions, namely pinned-pinned, fixed-fixed, pinned-fixed and fixed-free. The elasticity modulus of zigzag, armchair and chiral is studied and the effects of these arrangements on natural frequency are investigated. Finally, the effect of various parameters such as nanotube diameter, initial stress, nonlocal parameter and geometric parameters of BNNTs on the natural frequency of zigzag, armchair and chiral BNNTs has been studied. The results show that the natural frequency is decreased when nonlocal parameter and initial stress increase. Furthermore, we observe an increase in natural frequency as nanotube diameter is increased up to 0.6nm while afterwards there is no noticeable change in natural frequency.

کلیدواژه‌ها [English]

  • Natural Frequency
  • Boron Nitride Nanotubes
  • Elasticity Modulus
  • Different Arrangement of Nanotube
  • Initial Stress

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سابقه مقاله

  • تاریخ دریافت: 09 دی 1396
  • تاریخ پذیرش: 24 تیر 1397
  • تاریخ انتشار: 01 آذر 1398

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