پایان نامه تحلیل پایداری تیر نانو کامپوزیتی روی تکیه گاه الاستیک تحت نیروی محوری

فهرست:

چکیده ...................................................................................................................................................................1

فصل اول : کلیات تحقیق

1-1-مقدمه ...........................................................................................................................................................2

1-2- دسته بندی مواد زمینه .................................................................................................................................6

1-2-1-پلیمرها ....................................................................................................................................................7

1-2-2- سرامیک ها ............................................................................................................................................7

1-2-3- فلزات ....................................................................................................................................................7

1-3- دسته بندی تقویت کننده ها ........................................................................................................................8

1-3-1- الیاف ......................................................................................................................................................8

1-3-2- الیاف شیشه ............................................................................................................................................8

1-3-2-1- الیاف شیشه نوع A  ..........................................................................................................................8 

1-3-2-2- الیاف شیشه نوع E  ...........................................................................................................................8

1-3-2-3- الیاف شیشه نوع S .............................................................................................................................8

1-3-2-4- الیاف شیشه نوع D ............................................................................................................................9

1-3-3- الیاف کربن گرافیت ................................................................................................................................9

1-3-3-1- الیاف آلی ...........................................................................................................................................9

1-3-4- تقویت کننده های ذره ای ....................................................................................................................10

1-3-5- تقویت کننده های ویسکر ....................................................................................................................10

1-4- موارد کاربرد کامپوزیت ها .......................................................................................................................10

1-4-1- صنعت هوا فضا ...................................................................................................................................10

1-4-2- صنعت نفت و گاز ...............................................................................................................................10

1-4-3- صنایع دریایی ......................................................................................................................................11

1-4-4- صنعت ساختمان ..................................................................................................................................11

1-4-5- صنعت خودروسازی.............................................................................................................................11

1-4-6- لوازم ورزشی .......................................................................................................................................11

1-5- المان های ماتریس سختی و ماتریس تطبیقی ...........................................................................................11

1-5-1- ماده با خواص متعامد ..........................................................................................................................12

1-5-2- ماده با خواص ایزوتروپیک عرضی.......................................................................................................12

1-5-3- ماده با خواص ایزوتروپیک ............................................................................................................12

1-6-اهداف پروژه ...........................................................................................................................................13

فصل دوم : مروری بر کارهای انجام شده

2-1- مقدمه ......................................................................................................................................................15

2-2- تاریخچه وسیرتکامل نانو ........................................................................................................................15

2-3- تعریف فناوری نانو .................................................................................................................................16

2-4- نانو لوله های کربنی ................................................................................................................................16

2-4-1- ساختار نانو لوله های کربنی ...............................................................................................................16

2-4-2- کشف نانو لوله ...................................................................................................................................18

2-4-3- تاریخچه لوله ها ................................................................................................................................20

2-5- انواع نانو لوله های کربنی ......................................................................................................................23

2-5-1- نانو لوله کربنی تک جداره ................................................................................................................23

2-5-1-1- روابط تبدیل صفحه گرافیتی به نانو لوله ......................................................................................28

2-5-2- نانو لوله کربنی چند جداره ...............................................................................................................29

2-5-3- فولرایت ............................................................................................................................................29

2-5-4- متخلخل یا حلقه ای .........................................................................................................................29

2-6- خواص نانو لوله های کربنی ................................................................................................................30

2-6-1- واکنش پذیری شیمیایی ...................................................................................................................30

2-6-2- استحکام ومقاومت ..........................................................................................................................30

2-6-3- خواص حرکتی ...............................................................................................................................31

2-6-4- خواص الکتریکی ............................................................................................................................31

2-6-5- خواص حرارتی ..............................................................................................................................32

2-6-6- رفتار الاستیکی ................................................................................................................................32

فصل سوم : مواد وروش ها

3-1- مقدمه ...................................................................................................................................................35

3-2- معرفی تئوری های مختلف برای تحلیل تیر کامپوزیتی تقویت شده با نانو لوله های کربنی ................36

3-2-1- تئوری تیر اویلر برنولی ....................................................................................................................36

3-2-2- تئوری تیر تیمو شینکو .....................................................................................................................36

3-3- قانون اختلاط .......................................................................................................................................37

3-4- کرنش های نرمال وبرشی ....................................................................................................................39

3-5- معادلات تعادل تیر اویلر برنولی ........................................................................................................39

3-5-1- مقدمه .............................................................................................................................................39

3-6- معادلات تعادل تیر تیمو شینکو ............................................................................................................45

فصل چهارم : نتایج

4-1- مقدمه ................................................................................................................................................50

4-2- تعریف روش دیفرانسیل مربعی ........................................................................................................50

4-3- چند جمله ای تقریبی مرتبه بالاوبردارفضایی خطی ..........................................................................52

4-4- ضرایب وزنی از مشتق مرتبه اول .....................................................................................................52

4-5-  ضرایب وزنی از مشتق مرتبه دوم وبالاتر ........................................................................................57

4-6- حل معادلات پایداری به روش دیفرانسیل مربعی تعمیم یافته ..........................................................60

فصل پنجم :بحث و نتیجه گیری  

5-1- مقدمه ...............................................................................................................................................62

5-2- خواص ماده نانو کامپوزیتی ..............................................................................................................63

5-3- خواص مادی پلیمرهای زمینه ..........................................................................................................64

5-3-1- خواص مادی پلیمر PMMA ....................................................................................................64

5-4-1- خواص مادی PMPV ...............................................................................................................64

5-4- مقایسه نتایج با منابع دیگر ................................................................................................................65

5-5- بحث ونتیجه گیری ..........................................................................................................................78

5-6- ارائه پیشنهادات ................................................................................................................................78

 5-7-منابع و مأخذ 

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