Computational Methods in Stochastic Dynamics

1. Front Matter

   Pages i-xii

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2. Model Reduction and Uncertainties in Structural Dynamics

   • Gerhart I. Schuëller

   Pages 1-24

3. Resonant Damping of Flexible Structures Under Random Excitation

   • Steen Krenk, Jan Høgsberg

   Pages 25-46

4. Importance Sampling of Nonlinear Structures Using Adapted Process

   • Siu-Kui Au

   Pages 47-65

5. Use of Time-Variant Spectral Characteristics of Nonstationary Random Processes in the First-Passage Problem for Earthquake Engineering Applications

   • Michele Barbato

   Pages 67-88

6. Stochastic Seismic Analysis of Large Linear Structural Systems Under Fully Non-stationary Spectrum Compatible Ground Motion

   • Pierfrancesco Cacciola, Giuseppe Muscolino

   Pages 89-109

7. Soil Spatial Variability and Structural Reliability of Buried Networks Subjected to Earthquakes

   • Sidi Mohammed Elachachi, Denis Breysse, Hichem Benzeguir

   Pages 111-127

8. An Efficient First-Order Scheme for Reliability Based Optimization of Stochastic Systems

   • Hector A. Jensen, Gerhart I. Schuëller, Marcos A. Valdebenito, Danilo S. Kusanovic

   Pages 129-153

9. Application of a Mode-based Meta-Model for the Reliability Assessment of Structures Subjected to Stochastic Ground Acceleration

   • Lukas Pichler, Helmut J. Pradlwarter, Gerhart I. Schuëller

   Pages 155-170

10. Nonlinear Dynamic Response Variability and Reliability of Frames with Stochastic Non-Gaussian Parameters

    • George Stefanou, Michalis Fragiadakis

    Pages 171-185

11. The Role of Uncertainties in Aeolian Risk Assessment

    • Francesco Petrini, Marcello Ciampoli, Giuliano Augusti

    Pages 187-208

12. The Method of Separation: A Novel Approach for Accurate Estimation of Evolutionary Power Spectra

    • Dominik Schillinger, Vissarion Papadopoulos

    Pages 209-228

13. A Seismologically Consistent Husid Envelope Function for the Stochastic Simulation of Earthquake Ground-Motions

    • Sara Sgobba, Peter J. Stafford, Giuseppe C. Marano

    Pages 229-246

14. Sparse Representations in Stochastic Mechanics

    • Hermann G. Matthies, Elmar Zander

    Pages 247-265

15. Auto-parametric Stability Loss and Post-critical Behaviour of a Three Degrees of Freedom System

    • Jiří Náprstek, Cyril Fischer

    Pages 267-289

16. Probability Based Size Effect Representation for Failure in Civil Engineering Structures Built of Heterogeneous Materials

    • Adnan Ibrahimbegovic, Jean-Baptiste Colliat, Martin Hautefeuille, Delphine Brancherie, Sergiy Melnyk

    Pages 291-313

17. The Scatter of Eigenfrequencies in Beams Made of Metal Foam

    • Daniel Schwarzer, Carsten Proppe

    Pages 315-339

18. 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.

• ECCOMAS
• computational mechanics
• computational methods
• dynamics
• seismic analysis
• stochastics

From the book reviews:

“The book is addressed to researchers, post-graduate level, and PhD students who are familar with the fundamentals of computational stochastic structural dynamics. The book does a good job of covering the topic of earthquake engineering application of the computational methods. … The book gives lot of useful theoretical, computational, and practical information, and—I think — because of the wide spectrum of the content of the book, everybody can find something according to their special interest.” (Béla Buna, International Journal of Acoustics and Vibration, Vol. 19 (3), 2014)

• Inst. Structural Analysis &, Seismic Research, National Technical Univ. Athen, Athens, Greece

  Manolis Papadrakakis

• , Intitute of Structural Analysis and Seis, National Technical University of Athens, Athens, Greece

  George Stefanou

• , Institute of Structural Analysis and Se, National Technical University of Athens, Athens, Greece

  Vissarion Papadopoulos

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