Stochastic Structural Dynamics in Earthquake Engineering

1 - Stochasticity in Engineering Systems Basic Principles of Stochastic Structural Dynamics; Classification of Problems; Concluding Remarks; Problems. 2 - Random Variable and Stochastic Processes Introductory Remarks; The Concept of Probability; Random Variables; Transformations of Random Variables; Some Useful Probability Distributions; Stochastic Processes; Non-stationary, Stationary and Ergodic Stochastic Processes; Statistical Descriptors of Stationary-Ergodic Stochastic Processes; Linear Transformations of Stationary-Ergodic Stochastic Processes; Normal-Gaussian Stochastic Processes; Envelopes and Extremes of Narrow Band Stochastic Processes; Non-stationary Stochastic Processes;Problem Classification; Concluding Remarks; Problems. 3 - Single DOF System Response to Random Input Introductory Remarks; Description of the Problem; The Single Degree-of-Freedom Oscillator; Random Response of the Sdof System; Solution in the Frequency Domain; Design Aspects for Simple Frame Structures Under Random Loads; Extreme Values of Random Dynamic Response; Concluding Remarks; Problems. 4 - Multiple DOF System Response to Random Input Introductory Remarks; Principles of Stochastic Dynamic Analysis for Mdof Systems; Two-dof Linear Oscillator Subjected to White-noise Excitation; The Role of Cross-correlation of Load Components; Principles of Stochastic Analysis of Continuous Dynamic Systems; Concluding Remarks; Problems. 5 - Nonlinear Oscillators under Stochastic Excitation Introductory Remarks; Sources of Nonlinearity and Problem Classification; Linear Oscillators Subjected to Non-normal Stationary Loading; Nonlinear Oscillators Subjected to Normal Stationary Loading;Concluding Remarks;Problems. 6 - Response of Continuous Systems to Random Input Introductory Remarks; Continuous Systems in Structural Dynamics; Propagation of Seismically Induced Waves; Perturbation Method for Random Continuous Media; Numerical Simulation of Random Fields in Continuous Media;Numerical Examples; Concluding Remarks; Problems. 7 - Random Field Simulations Introductory Remarks; Monte-Carlo Simulations; Numerical Realizations of Random Fields; The Kanai-Tajimi and High-Pass Filters; Response Spectra; Concluding Remarks; Problems. 8 - Numerical Methods in Stochastic Dynamics Introductory Remarks; Classification of Numerical Methods; Perturbation Method; Stochastic Boundary Element Method; Stochastic Finite Element Method; Applications to Earthquake Engineering; Numerical Examples; Problems. 9 - Risk Analysis of Structures Introductory Remarks; Some Basic Concepts in Reliability; Risk Analysis; Development of the Methodology; Fragility Curves; Concluding Remarks; Problems. Appendix A - Basic Concepts in Structural Dynamics Appendix B - Solutions to Problems