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Stochastic Structural Dynamics. Instructor: Prof. C. S. Manohar, Department of Civil Engineering, IISc Bangalore.
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Description
The objective of this course is to develop methods for analysis of structures subjected to dynamic loads which are random in nature. Structures under the action of wind or earthquake loads are typical of such problems. The course introduces the application of probability, random variables and random processes to model uncertainties in dynamic loads. The response analysis considers the question of propagation of uncertainties in the inputs to the response variables of interest and also considers questions on reliability of vibrating systems under dynamic loads. The course mainly deals with linear time invariant systems. A brief introduction to random vibration analysis of nonlinear systems is also provided. Solution strategies include analytical techniques and Monte Carlo simulation procedures. (from nptel.ac.in)
Course content
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- Lecture 01 – Definition of Probability Measure and Conditional Probability Unlimited
- Lecture 02 – Scalar Random Variables Unlimited
- Lecture 03 – Scalar Random Variables (cont.) Unlimited
- Lecture 04 – Multi-dimensional Random Variables Unlimited
- Lecture 05 – Multi-dimensional Random Variables (cont.) Unlimited
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- Lecture 06 – Random Processes 1 Unlimited
- Lecture 07 – Random Processes 2 Unlimited
- Lecture 08 – Random Processes 3 Unlimited
- Lecture 09 – Random Processes (cont.), Random Variables of SDOF Systems Unlimited
- Lecture 10 – Random Variables of SDOF Systems 2 Unlimited
- Lecture 11 – Random Variables of SDOF Systems 3 Unlimited
- Lecture 12 – Random Variables of SDOF Systems 4 Unlimited
- Lecture 17 – Failure of Randomly Vibrating Systems 1 Unlimited
- Lecture 18 – Failure of Randomly Vibrating Systems 2 Unlimited
- Lecture 19 – Failure of Randomly Vibrating Systems 3 Unlimited
- Lecture 20 – Failure of Randomly Vibrating Systems 4 Unlimited
- Lecture 26 – Monte Carlo Simulation Approach 2 Unlimited
- Lecture 27 – Monte Carlo Simulation Approach 3 Unlimited
- Lecture 28 – Monte Carlo Simulation Approach 4 Unlimited
- Lecture 29 – Monte Carlo Simulation Approach 5 Unlimited
- Lecture 30 – Monte Carlo Simulation Approach 6 Unlimited
- Lecture 31 – Monte Carlo Simulation Approach 7 Unlimited
- Lecture 36 – Fatigue Failure and Vibration Energy Flow Methods Unlimited
Instructor
