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Nonlinear Vibrations of Coupled Current Carrying Beams Immersed in Fluid and Magnetic Field
Hosseinian, Alireza | 2022
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- Type of Document: Ph.D. Dissertation
- Language: Farsi
- Document No: 57141 (45)
- University: Sharif University of Technology
- Department: Aerospace Engineering
- Advisor(s): Dehghani Firouzabadi, Rohullah
- Abstract:
- In this project, the forced vibrations of a pair of strips carrying electric current inside the fluid have been analyzed. Euler-Bernoulli theory is used to model the structure and von-Karman strain is included in the structural equations. In terms of the degrees of freedom of the structure, the bending motion along with the twisting is defined for the current-carrying strips. In this way, the system has 4 degrees of freedom, whose equations are coupled to each other due to the mentioned assumptions. In order to model hydrodynamics and the forces corresponding to it, with the help of numerical simulation of the movement of the strip section inside the fluid (CFD analysis), the corresponding forces were extracted and the parameters corresponding to the inertia and damping of the fluid were obtained by drawing the hysteresis diagram. Finally, the obtained equations are analyzed for certain numerical values and the results are presented and discussed. The obtained results show that the electromagnetic interactions of the strips with each other in certain conditions will lead to static instability (buckling of the structure) and also the effects of the distance of the strips are very effective in the damping corresponding to the ambient fluid
- Keywords:
- Nonlinear Vibration ; Hydroelasticity ; Fluid Viscometer ; Magnetoelasticity ; Computational Fluid Dynamics (CFD) ; Nonlinear Forced Vibrations ; Von Karman Theory ; Euler-Bernoulli Theory
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محتواي کتاب
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- فصل 1 : مقدمه و تاریخچه
- 1. 1 مقدمه
- 1. 2 تاریخچه
- 1. 3 تعریف مساله
- فصل 2 : مروری بر نیروهای الکترومغناطیس و ایرودینامیک وارد بر تیر مرتعش در داخل سیال
- 2. 1 مقدمه
- 2. 2 نیروهای الکترومغناطیس تعاملی در جفت نوار حامل جریان
- 2. 3 نیروهای هیدروالاستیسیته وارد بر نوار مرتعش در سیال
- فصل 3 : معادلات حاکم
- 3. 1 مقدمه
- 3. 2 معادلات غیر خطی سازه
- 3. 3 معادلات خطی حاکم بر مساله برهمکنشی سازه و مغناطیس
- 3. 4 معادلات خطی حاکم بر مساله برهمکنشی سازه و سیال
- 3. 5 معادلات غیر خطی حاکم بر مساله برهمکنشی سازه، مغناطیس و سیال
- فصل 4 : تحلیل معادلات و بررسی نتایج
- 4. 1 مقدمه
- 4. 2 تحلیل پایداری مگنتوالاستیسیته – ترموالاستیسیته
- 4. 3 تحلیل دینامیکی تیر در داخل سیال تحت اثر میدان نوسانی خارجی
- 4. 4 تحلیل غیر خطی سیستم با تحریک نوسانی خارجی
- 4. 5 جمع بندی
- فصل 5 : نتیجه گیری و پیشنهادات
- 5. 1 نتیجه گیری
- 5. 2 پیشنهادات