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This book presents the proceedings of a conference on dynamical systems held in honor of Jürgen Scheurle in January 2012. Through both original research papers and survey articles leading experts in the field offer overviews of the current state of the theory and its applications to mechanics and physics. In particular, the following aspects of the theory of dynamical systems are covered: - Stability and bifurcation - Geometric mechanics and control theory - Invariant manifolds, attractors and chaos - Fluid mechanics and elasticity - Perturbations and multiscale problems - Hamiltonian dynamics and KAM theory Researchers and graduate students in dynamical systems and related fields, including engineering, will benefit from the articles presented in this volume. Contributors: Fred C. Adams Henk W. Broer Anthony M. Bloch Tomas Caraballo David R.J. Chillingworth Freddy Dumortier Messoud Efendiev Tor Flå Peter A. Giesl Christoph Glocker Alexandra Goeke John Guckenheimer Sigurdur Hafstein Heinz Hanßmann Darryl D. Holm Hany A. Hosham Eric W. Justh Peter E. Kloeden P. S. Krishnaprasad Martin Kružík Tassilo Küpper Alexander Mielke James Montaldi Philip J. Morrison Jonathan Munn Arne B. Nordmark Marius Paicu Tudor S. Ratiu Geneviève Raugel Sebastian Reich Michael Renardy Florian H.-H. Rupp Björn Sandstede Samuel N. Stechmann Tadashi Tokieda André Vanderbauwhede Sebastian Walcher Daniel Weiss Clemens Woywod Jiangong You Fumin Zhang Anna Zhigun Johannes Zimmer.
Dynamics -- Congresses. --- Mathematics. --- Structural dynamics -- Congresses. --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Control theory --- Dynamics --- Fluid mechanics --- Dynamics. --- Ergodic theory. --- Mathematical physics. --- Dynamical Systems and Ergodic Theory. --- Mathematical Physics. --- Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Physical mathematics --- Physics --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics
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Topics in Dynamics of Civil Structures, Volume 4: Proceedings of the 31st IMAC, A Conference and Exposition on Structural Dynamics, 2013, the fourth volume of seven from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Modal Parameter Identification for Civil Structures Vibration Control of Civil Structures Cable Dynamics Damage Detection Models for Civil Structures Data-Driven Health Monitoring of Structures & Infrastructure Experimental Techniques for Civil Structures Human-induced Vibrations of Civil Structures Structural Modeling for Civil Structures.
Civil engineering -- Congresses. --- Structural dynamics -- Congresses. --- Structural mechanics -- Congresses. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Structural dynamics --- Structural analysis (Engineering) --- Engineering. --- Structural mechanics. --- Engineering design. --- Civil engineering. --- Structural Mechanics. --- Civil Engineering. --- Engineering Design. --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Design, Engineering --- Engineering --- Industrial design --- Strains and stresses --- Public works --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Design
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Topics on the Dynamics of Civil Structures, Volume 1, Proceedings of the 30th IMAC, A Conference and Exposition on Structural Dynamics, 2012, the first volume of six from the Conference, brings together 45 contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Human Induced Vibrations Bridge Dynamics Operational Modal Analysis Experimental Techniques and Modeling for Civil Structures System Identification for Civil Structures Method and Technologies for Bridge Monitoring Damage Detection for Civil Structures Structural Modeling Vibration Control Method and Approaches for Civil Structures Modal Testing of Civil Structures.
Structural dynamics -- Congresses. --- Structural dynamics. --- Structural dynamics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Structural analysis (Engineering) --- Engineering. --- Structural mechanics. --- Engineering design. --- Civil engineering. --- Structural Mechanics. --- Civil Engineering. --- Engineering Design. --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Design, Engineering --- Engineering --- Industrial design --- Strains and stresses --- Public works --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Design --- Civil structures --- Modal analysis --- IMAC
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Nonlinear Dynamics, Volume 1. Proceedings of the 33rd IMAC, A Conference and Exposition on Balancing Simulation and Testing, 2015, the first volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Nonlinear Oscillations Nonlinear Simulation Using Harmonic Balance Nonlinear Modal Analysis Nonlinear System Identification Nonlinear Modeling & Simulation Nonlinearity in Practice Nonlinear Systems Round Robin on Nonlinear System Identification.
Nonlinear mechanics -- Congresses. --- Structural dynamics -- Congresses. --- Civil Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Nonlinear mechanics --- Structural dynamics --- Vibration. --- Mechanics. --- Mechanics, Applied. --- Vibration, Dynamical Systems, Control. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Cycles --- Mechanics --- Sound --- Dynamical systems. --- Dynamics. --- Statistical physics. --- Mathematical statistics --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics --- Statistical methods
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Topics in Experimental Dynamics Substructuring, Volume 2: Proceedings of the 31st IMAC, A Conference and Exposition on Structural Dynamics, 2013, the second volume of seven from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Nonlinear Substructures SEM Substructures Wind Turbine Testbed – Blade Modeling & Correlation Substructure Methods SEM Substructures Wind Turbine Testbed Frequency Based Substructures Fixed Base Substructure Methods Substructure Methods SEM Substructures Wind Turbine Testbed Frequency Based Substructures Fixed Base Substructure Methods.
Engineering. --- Mechanical engineering. --- Structural dynamics -- Congresses. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Structural dynamics --- Vibration. --- Renewable energy sources. --- Alternate energy sources --- Alternative energy sources --- Energy sources, Renewable --- Sustainable energy sources --- Engineering, Mechanical --- Construction --- Renewable energy resources. --- Structural mechanics. --- Dynamical systems. --- Dynamics. --- Alternate energy sources. --- Green energy industries. --- Structural Mechanics. --- Vibration, Dynamical Systems, Control. --- Renewable and Green Energy. --- Power resources --- Renewable natural resources --- Agriculture and energy --- Cycles --- Mechanics --- Sound --- Industrial arts --- Technology --- Engineering --- Machinery --- Steam engineering --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Applied mechanics --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics
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Topics in Model Validation and Uncertainty Quantification, Volume 4, Proceedings of the 30th IMAC, A Conference and Exposition on Structural Dynamics, 2012, the fourth volume of six from the Conference, brings together 19 contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Robustness to Lack of Knowledge in Design Bayesian and Markov Chain Monte Carlo Methods Uncertainty Quantification Model Calibration.
Structural dynamics -- Congresses. --- Structural dynamics -- Mathematical models -- Congresses. --- Uncertainty (Information theory) -- Congresses. --- Chemical & Materials Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Mechanical Engineering --- Materials Science --- Civil Engineering --- Industrial & Management Engineering --- Technology - General --- Structural dynamics --- Engineering. --- Structural mechanics. --- Aerospace engineering. --- Astronautics. --- Quality control. --- Reliability. --- Industrial safety. --- Quality Control, Reliability, Safety and Risk. --- Aerospace Technology and Astronautics. --- Structural Mechanics. --- System safety. --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Space sciences --- Aeronautics --- Astrodynamics --- Space flight --- Space vehicles --- Safety, System --- Safety of systems --- Systems safety --- Accidents --- Industrial safety --- Systems engineering --- Prevention --- Aeronautical engineering --- Astronautics --- Engineering --- Industrial accidents --- Industries --- Job safety --- Occupational hazards, Prevention of --- Occupational health and safety --- Occupational safety and health --- Prevention of industrial accidents --- Prevention of occupational hazards --- Safety, Industrial --- Safety engineering --- Safety measures --- Safety of workers --- System safety --- Dependability --- Trustworthiness --- Conduct of life --- Factory management --- Industrial engineering --- Reliability (Engineering) --- Sampling (Statistics) --- Standardization --- Quality assurance --- Quality of products
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The Symposium was aimed at the theoretical and numerical problems involved in modelling the dynamic response of structures which have uncertain properties due to variability in the manufacturing and assembly process, with automotive and aerospace structures forming prime examples. It is well known that the difficulty in predicting the response statistics of such structures is immense, due to the complexity of the structure, the large number of variables which might be uncertain, and the inevitable lack of data regarding the statistical distribution of these variables. The Symposium participants presented the latest thinking in this very active research area, and novel techniques were presented covering the full frequency spectrum of low, mid, and high frequency vibration problems. It was demonstrated that for high frequency vibrations the response statistics can saturate and become independent of the detailed distribution of the uncertain system parameters. A number of presentations exploited this physical behaviour by using and extending methods originally developed in both phenomenological thermodynamics and in the fields of quantum mechanics and random matrix theory. For low frequency vibrations a number of presentations focussed on parametric uncertainty modelling (for example, probabilistic models, interval analysis, and fuzzy descriptions) and on methods of propagating this uncertainty through a large dynamic model in an effi cient way. At mid frequencies the problem is mixed, and various hybrid schemes were proposed. It is clear that a comprehensive solution to the problem of predicting the vibration response of uncertain structures across the whole frequency range requires expertise across a wide range of areas (including probabilistic and non-probabilistic methods, interval and info-gap analysis, statistical energy analysis, statistical thermodynamics, random wave approaches, and large scale computations) and this IUTAM symposium presented a unique opportunity to bring together outstanding international experts in these fields.
Structural control (Engineering) -- Congresses. --- Structural dynamics -- Congresses. --- Structural dynamics. --- Vibration -- Congresses. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Structural dynamics --- Structural analysis (Engineering) --- Engineering. --- Statistics. --- Applied mathematics. --- Engineering mathematics. --- Continuum mechanics. --- Structural mechanics. --- Vibration. --- Dynamical systems. --- Dynamics. --- Vibration, Dynamical Systems, Control. --- Structural Mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Statistical Theory and Methods. --- Appl.Mathematics/Computational Methods of Engineering. --- Mechanics. --- Mechanics, Applied. --- Mathematical statistics. --- Solid Mechanics. --- Mathematical and Computational Engineering. --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Cycles --- Mechanics --- Sound --- Statistical methods --- Statistics . --- Statistical analysis --- Statistical data --- Statistical science --- Econometrics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Statics
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There is currently ever pressing need to provide a critical assessment of the current knowledge and indicate new challenges which are brought by the present time in fighting the man-made and natural hazards in transient analysis of structures. The latter concerns both the permanently fixed structures, such as those built to protect the people and/or sensitive storage material (e. g. military installations) or the special structures found in transportation systems (e. g. bridges, tunnels), and the moving structures (such as trains, plains, ships or cars). The present threat of the terrorist attacks or accidental explosions, the climate change which brings strong stormy winds or yet the destructive earthquake motion that occurs in previously inactive regions or brings about tsunamis, are a few examples of the kind of applications we seek to address in this work. The common ground for all the problems of this kind from the viewpoint of structural integrity, which also justifies putting them on the same basis and addressing them within the same context, is their sudden appearance, their transient nature and the need to evaluate the consequence for a high level of uncertainty in quantifying the cause. The problems of such diversity cannot be placed within a single traditional scientific discipline, but they call for the expertise in probability theory for quantifying the cause, interaction problems for better understanding the physical nature of the problems, as well as modeling and computational techniques for improving the representation of inelastic behavior mechanisms and providing the optimal design.
Structural analysis (Engineering) --- Structural dynamics --- Hazard mitigation --- Natural disaster warning systems --- Constructions, Théorie des --- Constructions --- Congresses --- Congrès --- Dynamique --- Hazard mitigation -- Congresses. --- Natural disaster warning systems -- Congresses. --- Structural analysis (Engineering) -- Congresses. --- Structural dynamics -- Congresses. --- Physics - General --- Civil Engineering --- Physics --- Civil & Environmental Engineering --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Disaster warning systems, Natural --- Warning systems, Natural disaster --- Disaster mitigation --- Hazards mitigation --- Mitigation, Hazard --- Natural hazard mitigation --- Natural hazards mitigation --- Physics. --- Computer software --- Computer mathematics. --- Probabilities. --- Continuum physics. --- Vibration. --- Dynamical systems. --- Dynamics. --- Classical Continuum Physics. --- Computational Science and Engineering. --- Probability Theory and Stochastic Processes. --- Performance and Reliability. --- Vibration, Dynamical Systems, Control. --- Reusability. --- Emergency communication systems --- Emergency management --- Computer science. --- Distribution (Probability theory. --- Operating systems (Computers). --- Classical and Continuum Physics. --- Cycles --- Mechanics --- Sound --- Computer operating systems --- Computers --- Disk operating systems --- Systems software --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Informatics --- Science --- Operating systems --- Computer software—Reusability. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Computer mathematics --- Electronic data processing --- Classical field theory --- Continuum physics --- Continuum mechanics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Statics --- Disaster risk mitigation --- Disaster risk reduction --- Disasters --- Reduction of risks of disasters --- Risk mitigation, Disaster --- Risk reduction, Disaster --- Risk mitigation
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