Course10510720960 lectures
Finite Element Method and Computational Structural Dynamics
Prof. Manish Shrikhande · IIT Roorkee
About
Easy availability of computing power has made the computer aided engineering accessible to a wider section of the engineering workforce. To harness the potential of available computational resources, one needs to harmonize the twin aspects of theory and practice. While most of the graduate courses teach finite element method, its application to a range of problems using software tools is generally left out. The objective of this course is to approach the finite element theory from a perspective of effective computer implementation with an extensive set of tutorial problems based on public domain software tools.
Intended audience: Post graduate students in Civil / Structural / Geotechnical / Mechanical/Aerospace Engineering and Mathematics
Prerequisites: Basic course in Calculus
Lectures
Week 1
- Introduction to Scientific Computations I
- Introduction to Scientific Computations II
- Basic Concepts of Linear Algebra
- Polynomial Interpolation and Numerical Quadrature I
- Polynomial Interpolation and Numerical Quadrature II
Week 2
- Polynomial Interpolation and Numerical Quadrature-III
- Polynomial Interpolation and Numerical Quadrature-IV
- Mathematical Modelling and Approximate Solutions-I
- Mathematical Modelling and Approximate Solutions-II
- Mathematical Modelling and Approximate Solutions-III
Week 3
- Approximation via Variational Principles
- Introduction to the Finite Element Concept
- Finite Elements of C^0 Continuity in 1-D-I
- Finite Elements of C^0 Continuity in 1-D-II
- Finite Elements of C^0 Continuity in 1-D-III
Week 4
- Finite Elements of C^0 Continuity in 1-D-IV
- Finite Elements of C^1 Continuity in 1-D-I
- Finite Elements of C^1 Continuity in 1-D-II
- Finite Elements of C^0 Continuity in 2-D & 3-D-I
- Finite Elements of C^0 Continuity in 2-D & 3-D-II
Week 5
- Finite Elements of C^0 Continuity in 2-D & 3-D-III
- Finite Elements of C^0 Continuity in 2-D & 3-D-IV
- Finite Elements of C^0 Continuity in 2-D & 3-D-V
- Finite Elements of C^0 Continuity in 2-D & 3-D-VI
- Finite Elements of C^0 Continuity in 2-D & 3-D-VII
Week 6
- Finite Elements of C^0 Continuity in 2-D & 3-D-VIII
- Finite Elements of C^0 Continuity in 2-D & 3-D-IX
- Finite Elements of C^0 Continuity in 2-D & 3-D-X
- Finite Elements of C^0 Continuity in 2-D & 3-D-XI
- Finite Elements of C^0 Continuity in 2-D & 3-D-XII
Week 7
- Mapped Elements – I
- Mapped Elements – II
- Mapped Elements – III
- Mapped Elements – IV
- Mapped Elements – V
Week 8
- Variational Crimes
- The Patch Test
- Finite Elements for Plates and Shells – I
- Finite Elements for Plates and Shells – II
- Finite Elements for Plates and Shells – III
Week 9
- The Time Dimension and Dynamic Effects – I
- The Time Dimension and Dynamic Effects – II
- Solution of Linear Simultaneous Equations -I
- Solution of Linear Simultaneous Equations -II
- Solution of Linear Simultaneous Equations -III
Week 10
- Solution of Linear Simultaneous Equations -IV
- The Algebraic Eigenvalue Problem -I
- The Algebraic Eigenvalue Problem -II
- The Algebraic Eigenvalue Problem -III
- The Algebraic Eigenvalue Problem -IV
Week 11
- Time Marching -I
- Time Marching -II
- Time Marching -III
- Discrete Fourier Transform -I
- Discrete Fourier Transform -II
Week 12
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Roorkee
- Department
- Civil Engineering
- Teacher
- Prof. Manish Shrikhande
- Level
- Graduate
- Language
- English
- Subjects
- Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Teens profiles and older, judged from what the source says about it. How courses are placed
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