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Finite Element Method for Structural Dynamic and Stability Analyses. Instructor: Prof. C. S. Manohar, Department of Civil Engineering, IISc Bangalore.
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Description
This course will discuss Finite Element Method (FEM) in the context of structural mechanics problems. What are the issues to be dealt with, when the FEM, as developed for analysis of static problems, is extended to deal with problems of structural dynamic and elastic stability analyses. This is not a first course in FEM, Structural Dynamics and Structural Stability Analyses. Prerequisites are: matrix methods of static structural analysis, a first course in theory of vibrations, elements of static stability analysis, matrix algebra and ODEs. (from nptel.ac.in)
Course content
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- Lecture 01 – Equations of Motion using Hamilton’s Principle Unlimited
- Lecture 02 – Equations of Motion for Continuous Systems and Rayleigh’s Quotient Unlimited
- Lecture 03 – Rayleigh Ritz Method and Method of Weighted Residuals Unlimited
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- Lecture 04 – FEM: Motivations, Analysis of Axially Vibrating Rods and Euler-Bernoulli Beams Unlimited
- Lecture 05 – Beam Elements, Reference System, Assembly of Matrices, Imposition of BCS Unlimited
- Lecture 06 – FE Modeling of Planar Structures Unlimited
- Lecture 07 – FE Modeling of Planar Structures (cont.) Unlimited
- Lecture 08 – Frequency Response Functions and Damping of Models Unlimited
- Lecture 09 – FRFs and Damping of Models (cont.) Unlimited
- Lecture 10 – Material Damping Models, Dynamic Stiffness and Transfer Matrices Unlimited
- Lecture 13 – Mathematical Preliminaries and Terminologies; Euler’s Forward and … Unlimited
- Lecture 14 – Forward and Backward Euler Method, Central Difference Method Unlimited
- Lecture 15 – Second Order Implicit Methods Unlimited
- Lecture 16 – Energy Conservation, Nonlinear Systems Unlimited
- Lecture 19 – Plane Stress Models Unlimited
- Lecture 20 – Plane Stress Models (cont.) Unlimited
- Lecture 21 – 3D Solid Element Unlimited
- Lecture 22 – Axisymmetric Models, Plate Bending Elements Unlimited
- Lecture 23 – Plate Bending Elements (cont.) Unlimited
- Lecture 24 – Plate Bending Elements (cont.) Unlimited
- Lecture 25 – Plate Bending Elements (cont.) Unlimited
- Lecture 35 – Inverse Response Sensitivity Analysis Unlimited
- Lecture 36 – Inverse Response Sensitivity Analysis (cont.) Unlimited
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