Adaptive multimodal pushover analysis of bridges considering multidirectional earthquake excitations / Dominik Matthias Kämper, M.Sc. Wuppertal : Institut für Konstruktiven Ingenieurbau, 2025
Inhalt
- Acknowledgements
- Abstract
- List of Symbols and Abbreviations
- List of Figures
- List of Tables
- Introduction
- Motivation
- Seismic design concepts
- Response Spectrum Method (RSM)
- Nonlinear Time History Analysis (NLTHA)
- Nonlinear Static Methods: Performance-based approach
- Pushover method
- Multi-mode and adaptive pushover concepts – state of research
- Overview of widespread procedures
- Presentation of selected procedures
- Evaluation of existing calculation concepts
- Scope of the dissertation
- Modification and further development of the AMI
- Explanation of the individual optimizations and extensions
- Overview
- Revised determination of the incremental load vector
- Modal combination based on a partial correlation
- Approach of optimized adaption steps
- Process workflow of the modified AMI (mAMI)
- Interim theoretical conclusion
- Validation of the inelastic model
- Development of an automated adaptive pushover algorithm
- General concept and program flow
- Specific algorithmic aspects
- Identification of natural modes
- Ensuring constant directions of modal load patterns
- Determination of optimized spectral increments and reasonable numbers of pushover steps
- Identification of the performance state and alternative termination criteria
- Concluding remarks
- Application of the mAMI procedure in the context of monodirectional earthquake investigations
- Introduction
- Description of the investigated bridge structures
- Evaluation of the mAMI procedure in general and the correlation factors in particular
- Realization of the individual calculations
- Comparison of the lateral deck deflection lines
- Comparison of representative force quantities
- Interim conclusion
- Analysis of mode changes and the associated load patterns
- Comparison of constant and optimized spectral acceleration increments Sa,B(i)
- General performance assessment of the mAMI on different bridge structures
- Extended mAMI calculations of multidirectional earthquake excitations
- Introduction
- Current state of science concerning multidirectional pushover concepts
- Key issues concerning the bidirectional mAMI application
- Comparative multidirectional time history calculations
- Investigation on the applicability of the percentage rule for determining multidirectional mAMI load patterns
- Introductory remarks
- Preliminary study in time domain
- Investigation of model A
- Investigation of model B
- Conclusion on the opt study
- Elaboration of an alternative multidirectional concept
- Subsequent overlaying techniques – state of research
- Selection of a suitable subsequent superposition rule based on the available calculation results
- Comparison of multidirectional seismic calculation concepts
- Relevant background information
- Procedure comparison on the basis of pier base moments (orthogonal)
- Procedure comparison on the basis of normal stresses (collinear)
- Procedure comparison based on lateral deck displacements
- Conclusion
- Final validation of the multidirectional mAMI concept based on the application to more complex bridge structures
- Summary and outlook
- Bibliography
- Derivation of spatial load distribution based on Equation 3.8
- Derivation of effective yield points in the mAMI
- Further background information about the post-experimental study of the ELSA PSD tests
- operator splitting scheme pegon2000
- Applied material parameters according to pinto2002
- Arrangement of the longitudinal reinforcement
- Derivation of the two scaling factors SFm for the membrane and SFpb for the plate bending effect
- Arrangement of potential plastic or fiber hinges
- Further calculation results
- Examplary MATLAB script for the CAAP application
- Further information on the monodirectional earthquake investigations
- Further information on the multidirectional earthquake investigations