Stochastic structural dynamics in earthquake engineering / G.D. Manolis and P.K. Koliopoulos.

Format:

• Book

Author/Creator:

• Manolis, G. D. (George D.)

Contributor:

• Koliopoulos, P. K. (Panyiotis K.)
• Rosengarten Family Fund.

Series:

• Advances in earthquake engineering ; v. 8.
• Advances in earthquake engineering ; v. 8

Language:

English

Subjects (All):

• Earthquake engineering.
• Structural dynamics.
• Stochastic processes.

Physical Description:

271 pages : illustrations ; 24 cm + 1 computer disk (3 1/2 in.)

Place of Publication:

Southampton ; Boston : WITPress, [2001]

Summary:

• Earthquake engineering is a vast subject encompassing seismology, geology, geotechnical engineering, structural mechanics, dynamics, and the design and construction of civil engineering works, as well as issues of earthquake preparedness, post-seismic recovery and reconstruction.
• Tailored specifically to the needs of the earthquake practitioner, this book applies stochastic structural dynamics to typical problems in earthquake engineering. Material on random vibrations and stochastic mechanics is retained or adapted where relevant to the needs of civil engineers practicing aseismic design of structures. Also accessible to graduate students and researchers working in this field, the text contains many examples and exercises with solutions.

Contents:

• 1 Stochasticity in Engineering Systems
• 1.1 Basic Principles of Stochastic Structural Dynamics 1
• 1.2 Classification of Problems 6
• 2 Random Variables and Stochastic Processes
• 2.2 The Concept of Probability 10
• 2.3 Random Variables 10
• 2.4 Transformations of Random Variables 20
• 2.5 Some Useful Probability Distributions 21
• 2.6 Stochastic Processes 26
• 2.7 Non-stationary, Stationary and Ergodic Stochastic Processes 27
• 2.8 Statistical Descriptors of Stationary-Ergodic Stochastic Processes 30
• 2.9 Linear Transformations of Stationary-Ergodic Stochastic Processes 36
• 2.10 Normal-Gaussian Stochastic Processes 38
• 2.11 Envelopes and Extremes of Narrow Band Stochastic Processes 39
• 2.12 Non-stationary Stochastic Processes 42
• 2.13 Problem Classification 43
• 3 Single Dof System Response to Random Input
• 3.2 Description of the Problem 50
• 3.3 The Single Degree-of-Freedom Oscillator 50
• 3.4 Random Response of the Sdof System 55
• 3.5 Solution in the Frequency Domain 60
• 3.6 Design Aspects for Simple Frame Structures Under Random Loads 65
• 3.7 Extreme Values of Random Dynamic Response 69
• 4 Multiple Dof System Response to Random Input
• 4.2 Principles of Stochastic Dynamic Analysis for Mdof Systems 77
• 4.3 Two-dof Linear Oscillator Subjected to White-noise Excitation 85
• 4.4 The Role of Cross-correlation of Load Components 90
• 4.5 Principles of Stochastic Analysis of Continuous Dynamic Systems 95
• 5 Nonlinear Oscillators Under Stochastic Excitation
• 5.1 Introductory Remarks 99
• 5.2 Sources of Nonlinearity and Problem Classification 99
• 5.3 Linear Oscillators Subjected to Non-normal Stationary Loading 101
• 5.4 Nonlinear Oscillators Subjected to Normal Stationary Loading 112
• 6 Response of Continuous Systems to Random Input
• 6.2 Continuous Systems in Structural Dynamics 126
• 6.3 Propagation of Seismically Induced Waves 126
• 6.4 Perturbation Method for Random Continuous Media 129
• 6.5 Numerical Simulation of Random Fields in Continuous Media 133
• 6.6 Numerical Examples 134
• 7 Random Field Simulations
• 7.2 Monte-Carlo Simulations 143
• 7.3 Numerical Realizations of Random Fields 146
• 7.4 The Kanai-Tajimi and High-Pass Filters 148
• 7.5 Response Spectra 152
• 8 Numerical Methods in Stochastic Dynamics
• 8.2 Classification of Numerical Methods 160
• 8.3 Perturbation Method 160
• 8.4 Stochastic Boundary Element Method 166
• 8.5 Stochastic Finite Element Method 170
• 8.6 Applications to Earthquake Engineering 173
• 8.7 Numerical Examples 181
• 9 Risk Analysis of Structures
• 9.2 Some Basic Concepts in Reliability 191
• 9.3 Risk Analysis 192
• 9.4 Development of the Methodology 193
• 9.5 Fragility Curves 197
• Appendix A Basic Concepts in Structural Dynamics
• A.2 The Single Degree-of-Freedom Oscillator 209
• A.3 Multiple Degree-of-Freedom Systems 223
• A.4 Continuous Dynamic Systems 234
• A.5 Response Spectra 238.

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Rosengarten Family Fund.

ISBN:

1853128511

OCLC:

48064699

Online:

The Rosengarten Family Fund Home Page