Ebook: Computational Methods in Stochastic Dynamics

At the dawn of the 21st century, computational stochastic dynamics is an emerging research frontier. This book focuses on advanced computational methods and software tools which can highly assist in tackling complex problems in stochastic dynamic/seismic analysis and design of structures. The book is primarily intended for researchers and post-graduate students in the fields of computational mechanics and stochastic structural dynamics. Nevertheless, practice engineers as well could benefit from it as most code provisions tend to incorporate probabilistic concepts in the analysis and design of structures. The book addresses mathematical and numerical issues in stochastic structural dynamics and connects them to real-world applications. It consists of 16 chapters dealing with recent advances in a wide range of related topics (dynamic response variability and reliability of stochastic systems, risk assessment, stochastic simulation of earthquake ground motions, efficient solvers for the analysis of stochastic systems, dynamic stability, stochastic modelling of heterogeneous materials). Numerical examples demonstrating the significance of the proposed methods are presented in each chapter.

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At the dawn of the 21st century, computational stochastic dynamics is an emerging research frontier. This book focuses on advanced computational methods and software tools which can highly assist in tackling complex problems in stochastic dynamic/seismic analysis and design of structures. The book is primarily intended for researchers and post-graduate students in the fields of computational mechanics and stochastic structural dynamics. Nevertheless, practice engineers as well could benefit from it as most code provisions tend to incorporate probabilistic concepts in the analysis and design of structures. The book addresses mathematical and numerical issues in stochastic structural dynamics and connects them to real-world applications. It consists of 16 chapters dealing with recent advances in a wide range of related topics (dynamic response variability and reliability of stochastic systems, risk assessment, stochastic simulation of earthquake ground motions, efficient solvers for the analysis of stochastic systems, dynamic stability, stochastic modelling of heterogeneous materials). Numerical examples demonstrating the significance of the proposed methods are presented in each chapter.

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At the dawn of the 21st century, computational stochastic dynamics is an emerging research frontier. This book focuses on advanced computational methods and software tools which can highly assist in tackling complex problems in stochastic dynamic/seismic analysis and design of structures. The book is primarily intended for researchers and post-graduate students in the fields of computational mechanics and stochastic structural dynamics. Nevertheless, practice engineers as well could benefit from it as most code provisions tend to incorporate probabilistic concepts in the analysis and design of structures. The book addresses mathematical and numerical issues in stochastic structural dynamics and connects them to real-world applications. It consists of 16 chapters dealing with recent advances in a wide range of related topics (dynamic response variability and reliability of stochastic systems, risk assessment, stochastic simulation of earthquake ground motions, efficient solvers for the analysis of stochastic systems, dynamic stability, stochastic modelling of heterogeneous materials). Numerical examples demonstrating the significance of the proposed methods are presented in each chapter.
Content:
Front Matter....Pages i-xii
Model Reduction and Uncertainties in Structural Dynamics....Pages 1-24
Resonant Damping of Flexible Structures Under Random Excitation....Pages 25-46
Importance Sampling of Nonlinear Structures Using Adapted Process....Pages 47-65
Use of Time-Variant Spectral Characteristics of Nonstationary Random Processes in the First-Passage Problem for Earthquake Engineering Applications....Pages 67-88
Stochastic Seismic Analysis of Large Linear Structural Systems Under Fully Non-stationary Spectrum Compatible Ground Motion....Pages 89-109
Soil Spatial Variability and Structural Reliability of Buried Networks Subjected to Earthquakes....Pages 111-127
An Efficient First-Order Scheme for Reliability Based Optimization of Stochastic Systems....Pages 129-153
Application of a Mode-based Meta-Model for the Reliability Assessment of Structures Subjected to Stochastic Ground Acceleration....Pages 155-170
Nonlinear Dynamic Response Variability and Reliability of Frames with Stochastic Non-Gaussian Parameters....Pages 171-185
The Role of Uncertainties in Aeolian Risk Assessment....Pages 187-208
The Method of Separation: A Novel Approach for Accurate Estimation of Evolutionary Power Spectra....Pages 209-228
A Seismologically Consistent Husid Envelope Function for the Stochastic Simulation of Earthquake Ground-Motions....Pages 229-246
Sparse Representations in Stochastic Mechanics....Pages 247-265
Auto-parametric Stability Loss and Post-critical Behaviour of a Three Degrees of Freedom System....Pages 267-289
Probability Based Size Effect Representation for Failure in Civil Engineering Structures Built of Heterogeneous Materials....Pages 291-313
The Scatter of Eigenfrequencies in Beams Made of Metal Foam....Pages 315-339
Back Matter....Pages 341-342

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At the dawn of the 21st century, computational stochastic dynamics is an emerging research frontier. This book focuses on advanced computational methods and software tools which can highly assist in tackling complex problems in stochastic dynamic/seismic analysis and design of structures. The book is primarily intended for researchers and post-graduate students in the fields of computational mechanics and stochastic structural dynamics. Nevertheless, practice engineers as well could benefit from it as most code provisions tend to incorporate probabilistic concepts in the analysis and design of structures. The book addresses mathematical and numerical issues in stochastic structural dynamics and connects them to real-world applications. It consists of 16 chapters dealing with recent advances in a wide range of related topics (dynamic response variability and reliability of stochastic systems, risk assessment, stochastic simulation of earthquake ground motions, efficient solvers for the analysis of stochastic systems, dynamic stability, stochastic modelling of heterogeneous materials). Numerical examples demonstrating the significance of the proposed methods are presented in each chapter.
Content:
Front Matter....Pages i-xii
Model Reduction and Uncertainties in Structural Dynamics....Pages 1-24
Resonant Damping of Flexible Structures Under Random Excitation....Pages 25-46
Importance Sampling of Nonlinear Structures Using Adapted Process....Pages 47-65
Use of Time-Variant Spectral Characteristics of Nonstationary Random Processes in the First-Passage Problem for Earthquake Engineering Applications....Pages 67-88
Stochastic Seismic Analysis of Large Linear Structural Systems Under Fully Non-stationary Spectrum Compatible Ground Motion....Pages 89-109
Soil Spatial Variability and Structural Reliability of Buried Networks Subjected to Earthquakes....Pages 111-127
An Efficient First-Order Scheme for Reliability Based Optimization of Stochastic Systems....Pages 129-153
Application of a Mode-based Meta-Model for the Reliability Assessment of Structures Subjected to Stochastic Ground Acceleration....Pages 155-170
Nonlinear Dynamic Response Variability and Reliability of Frames with Stochastic Non-Gaussian Parameters....Pages 171-185
The Role of Uncertainties in Aeolian Risk Assessment....Pages 187-208
The Method of Separation: A Novel Approach for Accurate Estimation of Evolutionary Power Spectra....Pages 209-228
A Seismologically Consistent Husid Envelope Function for the Stochastic Simulation of Earthquake Ground-Motions....Pages 229-246
Sparse Representations in Stochastic Mechanics....Pages 247-265
Auto-parametric Stability Loss and Post-critical Behaviour of a Three Degrees of Freedom System....Pages 267-289
Probability Based Size Effect Representation for Failure in Civil Engineering Structures Built of Heterogeneous Materials....Pages 291-313
The Scatter of Eigenfrequencies in Beams Made of Metal Foam....Pages 315-339
Back Matter....Pages 341-342
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