Nonlinear Modeling and Applications, Volume 2 [electronic resource] : Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010 /
International Modal Analysis ConferenceCorporate Author
IMAC(28th :2010)
International Modal Analysis Conference
Proulx, Tom.editor.
This the second volume of five from the 28th IMAC on Structural Dynamics and Renewable Energy, 2010, bringing together 17 chapters on Applications of Non-Linear Dynamics. It presents early findings from experimental and computational investigations on Non-Linear Dynamics including studies on Dynamics of a System of Coupled Oscillators with Geometrically Nonlinear Damping, Assigning the Nonlinear Distortions of a Two-input Single-output System, A Multi-harmonic Approach to Updating Locally Nonlinear Structures, A Block Rocking on a Seesawing Foundation, and Enhanced Order Reduction of Forced Nonlinear Systems Using New Ritz Vectors.
Description based upon print version of record.
Nonlinear Modeling and Applications, Volume 2; Preface; Contents; Dynamics of a System of Coupled Oscillators with Geometrically Nonlinear Damping; ABSTRACT; 1 INTRODUCTION; 2 SYSTEM DEFINITION; 3 NONLINEAR NORMAL MODES AND FREQUENCY ENERGY PLOTS; 4 NUMERICAL WORK; 5 CONCLUDING REMARKS; 6 DISCLAIMER; REFERENCES; Assigning the Nonlinear Distortions of a Two-input Single-output System; Abstract; Nomenclature; 1 Introduction; 2 Theoretical Preliminaries; 2.1 Input signals; 2.2 Nonlinear system; 3 Methodology; 3.1 Method I: Three stage experiment; 3.2 Method II: Detection via unique combinations
4 Experimental Results4.1 Experimental results from Method I; 5 Conclusions; References; A multi-harmonic approach to updating locally nonlinear structures; 1 Introduction; 2 Mathematical formulation; 2.1 Equations of motion; 2.2 Multi-harmonic balance method; 2.3 Extended Constitutive Relation Error; 3 Illustrative academic example; 4 Conclusions; Acknowledgements; References; A Block Rocking on a Seesawing Foundation; Abstract; 1 INTRODUCTION; 2 THE NUMERICAL MODEL; 3 SOME SAMPLE NUMERICAL RESULTS; 4 THE EXPERIMENTAL SET-UP; 5 PRELIMINARY EXPERIMENTAL RESULTS; 6 CONCLUSIONS; REFERENCES
Enhanced Order Reduction of Forced Nonlinear Systems Using New Ritz VectorsABSTRACT; 1. Introduction; 2. Principal Orthogonal and Iterated LELSM modes; 2.1 Proper Orthogonal Decomposition; 2.2 Local Equivalent Linear Stiffness Method; 3. New Ritz Vectors for Order Reduction; 4. Modal-Based Order Reduction Methodologies; 5. Order Reduction of Forced, Damped and Nonlinear; 6. Conclusions; References; Reduction methods for MEMS nonlinear dynamic analysis; ABSTRACT; NOMENCLATURE; 1 INTRODUCTION; 2 MICRO-BEAM MODEL; 3 MODEL REDUCTION; 4 MODAL DERIVATIVES; 5 PROPER ORTHOGONAL DECOMPOSITION
REFERENCES7 CONCLUSIONS; APPENDIX: FINITE ELEMENT FORMULATION; On the Identification of Hysteretic Systems, Part I: an Extended Evolutionary Scheme; Abstract:; Keywords:; 1. Introduction; 2. The Bouc-Wen Hysteresis Model; 3. Hysteretic System Identification using Differential Evolution; 4. Hysteretic System Identification using SADE; 5. Conclusions; References; On the Identification of Hysteretic Systems, Part II: Bayesian Sensitivity Analysis; Abstract:; Keywords:; 1. Introduction; 2. Identification of the Bouc-Wen Hysteresis Model; 3. Bayesian Sensitivity Analysis
3.1. Gaussian Process Regression3.1. Inference for Sensitivity Analysis; 4. Results of Sensitivity Analysis for Identification of Bouc-Wen System; 5. Conclusions; Acknowledgements; References; Identifying and Quantifying Structural Nonlinearities from Measured Frequency Response Functions; Abstract; 1 Introduction; 2 Nonlinear identification and characterisation; 2.1 Nonlinear identification; 2.2 Nonlinear characterisation; 3 Numerical simulation; 4 Experimental data; 5 CONCLUSIONS AND FUTURE WORKS; ACKNOWLEDGMENT; References
Detection and Quantification of Nonlinear Dynamic Behaviors in Space Structures
Includes bibliographical references.
This the second volume of five from the 28th IMAC on Structural Dynamics and Renewable Energy, 2010, bringing together 17 chapters on Applications of Non-Linear Dynamics. It presents early findings from experimental and computational investigations on Non-Linear Dynamics including studies on Dynamics of a System of Coupled Oscillators with Geometrically Nonlinear Damping, Assigning the Nonlinear Distortions of a Two-input Single-output System, A Multi-harmonic Approach to Updating Locally Nonlinear Structures, A Block Rocking on a Seesawing Foundation, and Enhanced Order Reduction of Forced Nonlinear Systems Using New Ritz Vectors.
Mechanics.
Mechanics, Applied.
Statistical physics.
Mathematical models.
Theoretical and Applied Mechanics.
Applications of Nonlinear Dynamics and Chaos Theory.
Mathematical Modeling and Industrial Mathematics.

Conference Proceedings of the Society for Experimental Mechanics Series