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COURSE SYLLABUS
ENERGY AND VARIATIONAL METHODS IN MECHANICS
1 Course Title: ENERGY AND VARIATIONAL METHODS IN MECHANICS
2 Course Code: INS5218
3 Type of Course: Optional
4 Level of Course: Second Cycle
5 Year of Study: 1
6 Semester: 2
7 ECTS Credits Allocated: 7,5
8 Theoretical (hour/week): 3
9 Practice (hour/week) : 0
10 Laboratory (hour/week) : 0
11 Prerequisites:
12 Recommended optional programme components: None
13 Language: Turkish
14 Mode of Delivery: Face to face
15 Course Coordinator: Prof. Dr. M.ÖZGÜR YAYLI
16 Course Lecturers: Prof. Dr. Babür DELİKTAŞ
17 Contactinformation of the Course Coordinator: bdeliktas@uludag.edu.tr
224 2900744
Uludağ Univ. Müh.Mim Fak. İnşaat Müh. Böl. Görükle, Bursa
18 Website: http://insaat.uludag.edu.tr
19 Objective of the Course: • Ability to improve on the use of finite element method in solving multidimensional problems. • To gain the ability to interpret the results obtained by the finite element method with a multidisciplinary perspective.
20 Contribution of the Course to Professional Development • To be able to solve multidimensional engineering problems using finite element methods. • Understanding the interdisciplinary interaction that problems are related to • Solving problems encountered during time-dependent engineering analysis by using research methods • To be able to develop new approaches for solving unforeseen complex problems while solving problems.
21 Learning Outcomes:
1 • To be able to solve multidimensional engineering problems using finite element methods.;
2 • Understanding the interdisciplinary interaction that problems are related to;
3 • Solving problems encountered during time-dependent engineering analysis by using research methods;
4 • To be able to develop new approaches for solving unforeseen complex problems while solving problems.;
22 Course Content:
Week Theoretical Practical
1 Introduction, Element Formulation by Direct Method
2 Element Combining Methods
3 Boundary Conditions
4 Energy Methods in Element Formulation
5 Weighted Residuals Method and Programming of the Method
6 Weighted Residual Method in Elastostatics
7 Element Mass Matrices
8 Consistent External Load Vector
9 Eigenvalue Problems
10 Fundamentals of Time Integration
11 Time Integration in Parabolic and Hyperbolic Systems
12 Plate Type Elements
13 Introduction to Major Deformation Problems
14 Shear effects and Element Lockout
23 Textbooks, References and/or Other Materials: • J. N. Reddy, An Introduction to the Finite Element Method, McGraw-Hill, 2006
• T. J.R. Hughes, The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Dover, 2000
• O.C. Zienkiewicz, R. L. Taylor, J.Z. Zhu, The Finite Element Method: Its Basis and Fundamentals, Elsevier Butterworth-Heinemann, 6th Ed. , 2005
• S.S.Rao, The Finite Element Method in Engineering, Elsevier Butterworth-Heinemann, 5th Ed. , 2005
24 Assesment
TERM LEARNING ACTIVITIES NUMBER PERCENT
Midterm Exam 1 40
Quiz 0 0
Homeworks, Performances 0 0
Final Exam 1 60
Total 2 100
Contribution of Term (Year) Learning Activities to Success Grade 40
Contribution of Final Exam to Success Grade 60
Total 100
Measurement and Evaluation Techniques Used in the Course Understanding the principles of applied mathematics used in the course
Information
25 ECTS / WORK LOAD TABLE
Activites NUMBER TIME [Hour] Total WorkLoad [Hour]
Theoretical 14 3 42
Practicals/Labs 0 0 0
Self Study and Preparation 14 12 168
Homeworks, Performances 0 0 0
Projects 0 0 0
Field Studies 0 0 0
Midtermexams 1 12 12
Others 0 0 0
Final Exams 1 3 3
Total WorkLoad 225
Total workload/ 30 hr 7,5
ECTS Credit of the Course 7,5
26 CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12
LO1 5 3 3 0 0 0 0 0 0 0 0 0
LO2 5 5 3 0 5 5 0 0 0 0 0 0
LO3 0 0 0 0 0 0 0 0 0 0 0 0
LO4 0 0 0 0 0 0 0 0 0 0 0 0
LO: Learning Objectives PQ: Program Qualifications
Contribution Level: 1 Very Low 2 Low 3 Medium 4 High 5 Very High
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