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Investigation of Stability and Electromechanical Properties of a Nano Capacitor Made of Two Graphene Sheets

Borhanpanah Mooshaki, Mohammad Reza | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 44876 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Dehghani Firouz-Abadi, Rouhollah
  7. Abstract:
  8. Investigation of electrostatic properties of a nano capacitor made of graphene sheets, is the aim of current research. This nano capacitor is made of two adjacent parallel gr¬aphene sheets. Applying a voltage make an electric field between the sheets, which attracts the sheets together. This change in geometry, affects the electric field between sheets, therefore, the sheet's deformation and the electric field between them are coupled to each other. For modeling the deformation of the sheets, molecular dynamics analysis is employed. The electrostatic equations are used for modeling the electric field. The electric field is assumed to be static in this research, which means that the electrical frequencies are much more than the structural ones. First, natural frequencies and mode shapes of graphene are extracted using molecular dynamic analysis. Then the governing equation of coupled electromechanical system is driven and natural frequencies and mode shapes of the coupled system are obtained using Eigen value analysis. Finally the time response of the electromechanical system is obtained using Ritz's method
  9. Keywords:
  10. Molecular Dynamics ; Electromechanical Properties ; Nanocapacitor ; Graphene Sheet ; Free Vibration

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  • 1 مقدمه
    • 1.1 معرفي گرافن
    • 1.2 مروري بر روشهاي تحليل در ابعاد نانو
    • 1.3 تاريخچه
  • 2 تعريف مسئله
    • 2.1 هدف از پژوهش حاضر
  • 3 شبيهسازي ارتعاشات گرافن
    • 3.1 استخراج شکل مودها و فرکانسها
    • 3.2 مدل‌سازي ديناميک مولکولي
    • 3.3 نتايج
  • 4 معادلات حاکم بر ميدان الکترواستاتيک
    • 4.1 پتانسيل الکتريکي
    • 4.2 ميدان الکتريکي
    • 4.3 ظرفيت الکتريکي خازن
    • 4.4 گسسته سازي
      • 4.4.1 فرم ماتريسي
    • 4.5 نتايج
  • 5 معادلات همگير الکترومکانيکي حاکم بر سيستم ترکيبي
    • 5.1 محاسبه‌ي کار تعميم‌يافته
      • 5.1.1 تغييرات چگالي سطحي بار
        • 5.1.1.1 جمع‌بندي
      • 5.1.2 تغييرات ميدان الکتريکي
        • 5.1.2.1 جمع‌بندي
      • 5.1.3 کار تعميم‌يافته
        • 5.1.3.1 جمع‌بندي
    • 5.2 دستگاه معادلات حاکم
    • 5.3 پاسخ زماني
    • 5.4 پياده‌سازي
      • 5.4.1 اعمال شکل مود به دست آمده روي شبکهي محاسباتي
  • 6 نتايج
    • 6.1 اثر اختلاف پتانسيل الکتريکي بر فرکانس‌‌هاي سيستم ترکيبي
    • 6.2 پاسخ زماني
  • 7 جمع بندي
    • 7.1 نتيجه‌‌گيري
    • 7.2 پيشنهاد‌ها
  • 8 پيوست
    • 8.1.1 محاسبه‌ي انتگرال به روش عددي گاوس
  • 9 منابع و مراجع
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