بررسی ناپایداری نانوانبرک ساخته‌شده از نانوسیم در میدان مغناطیسی

نوع مقاله : مقاله پژوهشی

نویسندگان

گروه مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه تربت حیدریه، تربت حیدریه، ایران

چکیده

 کاربرد گسترده نانوانبرک‌ها در صنایع پیشرفته و اهداف پزشکی منجر به شرایط کاری جدیدی برای این‌گونه ابزارها از جمله قرارگرفتن در میدان مغناطیسی خارجی شده است. در این مقاله، رفتار ناپایداری الکترومغناطیسی انبرک‌های ساخته‌شده با نانوسیم که تحت‌تأثیر یک میدان مغناطیسی طولی قرار گرفته‌اند، شبیه‌سازی شده است. باتوجه‌به اهمیت وابستگی به اندازه در ابعاد بسیار کوچک، معادلۀ ساختاری سیستم برپایۀ تئوری تنش‌کوپل سازگار استخراج شده است. علاوه بر این، تأثیر نیروهای واندروالس و نیروی کازیمیر در مدل ارائه‌شده در نظر گرفته شده‌ است. برای حل معادلات غیرخطی حاکم بر رفتار سیستم، پاسخی نیمه‌تحلیلی مبتنی بر روش اغتشاشات  هموتوپی ارائه شده است. تأثیر پدیده‌های مختلف از قبیل وابستگی به اندازه، نیروی کازیمیر، نیروی واندروالس و میدان مغناطیسی بر ولتاژ ناپایداری و دامنۀ عملکرد انبرک‌های ساخته‌شده با نانوسیم بررسی شده است. نتایج بیانگر تأثیر چشمگیر وجود میدان مغناطیسی بر ناپایداری کششی و دامنۀ عملکرد نانوانبرک‌هاست.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Stability Analysis of Nano-wire Made Tweezers in Magnetic Flux

نویسندگان [English]

  • Ali Koochi
  • Mohammad Reza Gharib
  • Masoud Goharimanesh
Department of Mechanical Engineering, University of Torbat Heydarieh, Torbat Heydarieh, Iran
چکیده [English]

The enormous application of nano-tweezes in modern technologies and biological purposes leads to new operation situations for these devices, such as an external magnetic field. In this paper, the pull-in behavior of nano-wire-made tweezers immersed in a longitudinal magnetic field is simulated. As the scale dependency can be dominant in ultra-small structures, the constitutive equation is developed based on the consistent couple stress theory. In addition, the influence of van der Waals force and Casimir force are considered in the developed model. A semi-analytical model based on the Homotopy perturbation method is presented to solve the nonlinear governing equation. The influence of different phenomena including size dependency, Casimir force, van der Waals force, and the magnetic field on the pull-in voltage and tweezering range of nano-wire manufactured tweezers is investigated. The obtained results demonstrated that the magnetic field has a considerable effect on the pull-in instability and operating range of nano-tweezers.

کلیدواژه‌ها [English]

  • Electromagnetic instability
  • Homotopy perturbation
  • Nano-tweezers
  • Consistent couple stress theory
  • van der Waals
  • Casimir

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