Structural Dynamics

This book covers some important aspects of modern developments in the area of structural dynamics. In context with the need of a realistic analysis it emphasizes the consideration of statistical uncertainties inherent in load as well as material properties. The volume concentrates on areas such as load modeling, structural response analysis and computational reliabilty procedures. A number of practical examples, such as the dynamic analysis of liquid storage tanks, tall industrial chimneys, containment structures, etc. show how the theoretical and compuational procedures are easily applied.

1 Introduction.- 2 Load Models.- 2.1 Test of Stationarity and the Estimation of Modulating Functions.- 2.1.1 Introduction.- 2.1.2 Test of Stationarity.- 2.1.3 Estimation of the Modulation Function.- 2.1.4 References.- 2.2 Earthquake Loading.- 2.2.1 Introduction.- 2.2.2 Earthquake Models Based on Simulation.- 2.2.3 Estimation of the Evolutionary Process from Strongly Nonstationary Earthquake Records.- 2.2.4 Artificial Acceleration Time Histories Based on a Nonstationary Stochastic Source-Model.- 2.2.5 References.- 2.3 Seismic Waves in Layered Soil: The Generalized Ray Theory.- 2.3.1 Introduction.- 2.3.2.1 Horizontal Layers.- 2.3.2.2 Dipping Layer.- 2.3.3.1 Reinforced Soil.- 2.3.3.2 Viscoelastic Soil.- 2.3.4 Random Seismic Sources.- 2.3.5 Conclusions.- 2.3.6 References.- 2.4 Wind Loads.- 2.4.1 Structures of Wind Turbulence.- 2.4.2 Aerodynamic Admittance.- 2.4.3 References.- 3 Structural Response Analysis.- 3.1 Non Gaussian Response of Linear Systems.- 3.1.1 Introduction.- 3.1.2 Mathematical Description of Non-Normal Random Variables.- 3.1.3 Statistical Description of Non-Gaussian Processes.- 3.1.4 Response of Linear Systems.- 3.1.5 Concluding Remarks.- 3.1.6 References.- 3.1.I Appendix.- 3.2 Systems with Parametric Excitation ― Bridge Structures.- 3.2.1 Introduction.- 3.2.2 Equations of Motion.- 3.2.3 Stability Analysis.- 3.2.4 Numerical Examples.- 3.2.5 Concluding Remarks.- 3.2.6 References.- 3.3 Nonlinear Systems.- 3.3.1 Analytical Solutions.- 3.3.2 The Method of Statistical Equivalent Linearization.- 3.3.3 References.- 3.3.I Appendix.- 3.3.II Appendix.- 3.4 Dynamics of Plate Structures.- 3.4.1 Introduction.- 3.4.2 BEM with Influence Functions of Rectangular Plates.- 3.4.3 Special Topics: Moderately Thick and Laminated Plates Nonlinear Geometrical Effects.- 3.4.4 Numerical Results.- 3.4.5 Conclusions.- 3.4.6 References.- 3.5 Material Science- and Numerical Aspects in the Dynamics of Damaging Structures.- 3.5.1 Introduction.- 3.5.2 Thermodynamic Formulation.- 3.5.3 Evolution Equations for Internal Variables.- 3.5.4 Distributed Distorsions in Finite Continua.- 3.5.5 Modal Expansion of Dynamic Solutions.- 3.5.6 Formulation of the Discretized Problem.- 3.5.7 Computational Aspects.- 3.5.8 Example.- 3.5.9 Conclusions.- 3.5.10 References.- 3.6 Sure and Random Nonlinear Analysis in the Frequency Domain: Numerical and Experimental Investigations.- 3.6.1 Introduction.- 3.6.2 Experimental Investigation of Earthquake Excited Elasto-Plastic Multistorey Frames.- 3.6.3 Sure Vibrations of Elasto-Plastic Structures Considering Structural Drift and Modal Projection.- 3.6.4 Random Vibrations of Elasto-Plastic Structures due to Earthquake Excitation.- 3.6.5 Concluding Remarks.- 3.6.6 References.- 4 Computational Reliability Procedures.- 4.1 Exceedance Rate Including System Uncertainties.- 4.1.1 Introduction.- 4.1.2 Exceedance Rate ― Approximation.- 4.1.3 Uncertainties of the Soil Parameters.- 4.1.4 Uncertainties of the System Parameters.- 4.1.5 Numerical Examples.- 4.1.6 References.- 4.1.I Appendix.- 4.2 Computational Stochastic Structural Analysis (COSSAN).- 4.2.1 Software Requirements.- 4.2.2 Theoretical Concept.- 4.2.3 Applications.- 4.2.4 Concluding Remarks.- 4.2.5 References.- 4.2.I Appendix.- 5 Practical Applications.- 5.1 Earthquake Resistant Design of Anchored and Unanchored Liquid Storage Tanks Under Three-Dimensional Earthquake Excitation.- 5.1.1 Introduction.- 5.1.2 Anchored Tanks.- 5.1.3 Unanchored Tanks.- 5.1.4 Dynamic Instabilités of Earthquake Excited Liquid Storage Tanks.- 5.1.5 A Proposal for the Earthquake Resistant Design of Anchored and Unanchored Liquid Storage Tanks.- 5.1.6 Conluding Remarks.- 5.1.7 References.- 5.2 Earthquake Resistance of Deep-Pile Foundations for Liquid Storage Tanks.- 5.2.1 Introduction.- 5.2.2 Seismic SH-Waves in the Free-Field.- 5.2.3 Reinforced Layered Soil ― Timoshenko Beam.- 5.2.4 The Tank Model.- 5.2.5 Results and Conclusions.- 5.2.6 References.- 5.3 Dynamic Analysis of Blast Procedure in Tunneling.- 5.3.1 Introduction.- 5.3.2 Numerical Modelling.- 5.3.3 Blasting.- 5.3.4 References.- 5.4 Design of Industrial R/C Chimneys.- 5.4.1 Gust Response.- 5.4.2 Ultimate Load Failure.- 5.4.3 Fatigue Failure.- 5.4.4 References.- 5.4.I Appendix.- 5.4.II Appendix.- 5.4.III Appendix.- 5.5 Analysis of Containment Structures of NPP’s.- 5.5.1 Introduction.- 5.5.2 Structural Model and Stochastic Earthquake Loading.- 5.5.3 Stochastic Response.- 5.5.4 Evaluation of die Exceedance Probability.- 5.5.5 Consideration of Uncertainties in Structural and Material Parameters.- 5.5.6 Practical Application.- 5.5.7 References.