# Earthquake Load Specification - Stochastic Structural Dynamics - Lecture Slides

Main points of this lecture are: Earthquake Load Specification, Probabilistic Methods, Earthquake Engineering, Modal Combination Rules, Eigenfunction Expansion, Response Spectrum Based Analysis, Ground Acceleration, White Noise Excitation

# Level Crossing Problem - Stochastic Structural Dynamics - Lecture Slides

Main points of this lecture are: Level Crossing Problem, Failure of Randomly Vibrating Systems, Complete Description, Spectral Moments, Poisson Model, Poisson Random Variable, Narrow Band Processes, Broad Band Processes, Gaussian White Noise

# Earthquake Engineering - Stochastic Structural Dynamics - Lecture Slides

Main points of this lecture are: Earthquake Engineering, Probabilistic Methods, Earthquake Support Motions, Vibratory Response, Seismic Risk Analysis, Modal Combination Rules, Earthquake Load Specification, Response Spectra, Relative Displacement

# Ergodicty of Random Process - Stochastic Structural Dynamics - Lecture Slides

Main points of this lecture are: Ergodicty of Random Process, Temporal and Ensemble Average, Basic Notion, Stationary Random Process, Ergodicity in Mean, Ergodicity in First Order, Ergodicity in Autocorrelation, Notion of Ergodicity, Functions of...

# Earthquake Load Specification - Stochastic Structural Dynamics - Lecture Slides

Main points of this lecture are: Earthquake Load Specification, Probabilistic Methods, Earthquake Engineering, Modal Combination Rules, Eigenfunction Expansion, Response Spectrum Based Analysis, Ground Acceleration, White Noise Excitation

# Level Crossing Problem - Stochastic Structural Dynamics - Lecture Slides

Main points of this lecture are: Level Crossing Problem, Failure of Randomly Vibrating Systems, Complete Description, Spectral Moments, Poisson Model, Poisson Random Variable, Narrow Band Processes, Broad Band Processes, Gaussian White Noise

# Earthquake Engineering - Stochastic Structural Dynamics - Lecture Slides

Main points of this lecture are: Earthquake Engineering, Probabilistic Methods, Earthquake Support Motions, Vibratory Response, Seismic Risk Analysis, Modal Combination Rules, Earthquake Load Specification, Response Spectra, Relative Displacement

# Ensemble of Outputs - Stochastic Structural Dynamics - Lecture Slides

Main points of this lecture are: Ensemble of Outputs, Monte Carlo Simulation Approach, Probabilistic Model, Estimation of Paramters, Method of Moments, Method of Maximum Likelihood, Estimation of Mean, Sampling Distribution, Gaussian Random Variables

# Bernoulli Trials - Stochastic Structural Dynamics - Lecture Slides

Main points of this lecture are: Bernoulli Trials, Binomial Distribution, Find Probability, Poisson Random Variable, Characteristic Function, Normal Random Variable, Rayleigh Random Variable, Mean and Variance, Cauchy Random Variable

# Definition of Probability Measure - Stochastic Structural Dynamics - Lecture Slides

Main points of this lecture are: Definition of Probability Measure, Conditional Probability, Theory of Probability, Loads on Engineering Structures, Guideway Unevenness, Random Vibration Analysis, Models for Uncertainty, Random Processes

# Deterministic Excitations - Stochastic Structural Dynamics - Lecture Slides

Main points of this lecture are: Deterministic Excitations, Random Vibration, Equations of Motion, Input-Output Relations, Frequency Domain, Modal Expansion, Forced Vibration Analysis, Static Coupling, Inertial Coupling, Coordinate System

# Differential Support Motions - Stochastic Structural Dynamics - Lecture Slides

Main points of this lecture are: Differential Support Motions, Random Vibration Analysis, Differential Support Motions, Pseudo-Dynamic Response, Stationary Random Process, Dynamic Responses, Auto-Covariance Matrix, Vehicle Structure Interaction

# Digital Simulation - Stochastic Structural Dynamics - Lecture Slides

Main points of this lecture are: Digital Simulation, Monte Carlo Simulation Approach, Samples of Random Variables, Pseudorandom Number Generators, Linear Congruential Generators, Combinations of Generators, Choice of Seed, Number Theory