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Stochastic Structural Dynamics

Stochastic Structural Dynamics. Instructor: Prof. C. S. Manohar, Department of Civil Engineering, IISc Bangalore. 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)

Lecture 02 - Scalar Random Variables

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Introduction to Probability and Random Variables

Lecture 01 - Definition of Probability Measure and Conditional Probability

Lecture 02 - Scalar Random Variables

Lecture 03 - Scalar Random Variables (cont.)

Lecture 04 - Multi-dimensional Random Variables

Lecture 05 - Multi-dimensional Random Variables (cont.)

Introduction to Random Processes

Lecture 06 - Random Processes 1

Lecture 07 - Random Processes 2

Lecture 08 - Random Processes 3

Lecture 09 - Random Processes (cont.), Random Variables of SDOF Systems

Random Variables of SDOF Systems

Lecture 10 - Random Variables of SDOF Systems 2

Lecture 11 - Random Variables of SDOF Systems 3

Lecture 12 - Random Variables of SDOF Systems 4

Random Variables of MDOF Systems

Lecture 13 - Random Variables of MDOF Systems 1

Lecture 14 - Random Variables of MDOF Systems 2

Lecture 15 - Random Variables of MDOF Systems 3

Lecture 16 - Random Variables of MDOF Systems 4

Failure of Randomly Vibrating Systems

Lecture 17 - Failure of Randomly Vibrating Systems 1

Lecture 18 - Failure of Randomly Vibrating Systems 2

Lecture 19 - Failure of Randomly Vibrating Systems 3

Lecture 20 - Failure of Randomly Vibrating Systems 4

Markov Vector Approach

Lecture 21 - Markov Vector Approach 1

Lecture 22 - Markov Vector Approach 2

Lecture 23 - Markov Vector Approach 3

Lecture 24 - Markov Vector Approach 4

Lecture 25 - Markov Vector Approach (cont.), Monte Carlo Simulation Approach

Monte Carlo Simulation Approach

Lecture 26 - Monte Carlo Simulation Approach 2

Lecture 27 - Monte Carlo Simulation Approach 3

Lecture 28 - Monte Carlo Simulation Approach 4

Lecture 29 - Monte Carlo Simulation Approach 5

Lecture 30 - Monte Carlo Simulation Approach 6

Lecture 31 - Monte Carlo Simulation Approach 7

Probabilistic Methods in Earthquake Engineering

Lecture 32 - Probabilistic Methods in Earthquake Engineering 1

Lecture 33 - Probabilistic Methods in Earthquake Engineering 2

Lecture 34 - Probabilistic Methods in Earthquake Engineering 3

Lecture 35 - Probabilistic Methods in Earthquake Engineering 4

Fatigue Failure and Vibration Energy Flow Methods

Lecture 36 - Fatigue Failure and Vibration Energy Flow Methods

Problem Solving Sessions

Lecture 37 - Problem Solving Sessions 1

Lecture 38 - Problem Solving Sessions 2

Lecture 39 - Problem Solving Sessions 3

Lecture 40 - Problem Solving Sessions 4