Seon Han

Bio: Seon Han is an academic researcher from Rutgers University. The author has contributed to research in topics: Vibration & Equations of motion. The author has an hindex of 8, co-authored 11 publications receiving 1046 citations.

Mechanical vibration : analysis, uncertainties, and control

Abstract: Introduction and Background Basic Concepts of Systems and Structures Basic Concepts of Vibration Basic Concepts of Random Vibration Types of System Models Basic Dynamics Units Concluding Summary Single Degree-of-Freedom Vibration: Discrete Models Motivating Examples Mathematical Modeling: Deterministic Undamped Free Vibration Harmonic Forcing with no Damping Concepts Summary Single Degree-of-Freedom Vibration: Discrete Models with Damping Damping Free Vibration with Viscous Damping Free Response with Coulomb Damping Forced Vibration with Viscous Damping Forced Harmonic Vibration Periodic but Not Harmonic Excitation Concepts Summary Single Degree-of-Freedom Vibration: General Loading and Advanced Topics Arbitrary Loading: Laplace Transform Step Loading Impulsive Excitation Arbitrary Loading Introduction to Lagrange.s Equation Notions of Randomness Notions of Control The Inverse Problem A Self-Excited System and its Stability Solution Analysis and Design Techniques A Model of a Bouncing Ball Concepts Summary Single Degree-of-Freedom Vibration: Probabilistic Forces Introduction Example Problems and Motivation Random Variables Mathematical Expectation Useful Probability Densities Two Random Variables Random Processes Random Vibration Concepts Summary Vibration Control Motivation Approaches to Controlling Vibration Feedback Control Performance of Feedback Control Systems Control of Response Sensitivity to Parameter Variations State Variable Models Concepts Summary Variational Principles and Analytical Dynamics Introduction Virtual Work Lagrange.s Equation of Motion Hamilton's Principle Lagrange's Equation with Damping Concepts Summary Multi Degree-of-Freedom Vibration: Introductory Topics Example Problems and Motivation The Concepts of Stiness and Flexibility Derivation of Equations of Motion Undamped Vibration Direct Method: Free Vibration with Damping Modal Analysis Real and Complex Modes Concepts Summary Multi Degree-of-Freedom Vibration: Advanced Topics Overview Unrestrained Systems The Geometry of the Eigenvalue Problem Periodic Structures Inverse Vibration Sloshing of Fluids in Containers Stability of Motion Multivariable Control MDOF Stochastic Response Stochastic Control Rayleigh.s Quotient Monte Carlo Simulation Concepts Summary Continuous Models for Vibration Continuous Limit of a Discrete Formulation Vibration of String Longitudinal (Axial) Vibration of Beams Torsional Vibration of Shafts 10.5 Transverse Vibration of Beams 10.6 Beam Vibration: Special Problems Concepts Summary Continuous Models for Vibration: Advanced Models Vibration of Membranes Vibration of Plates Random Vibration of Continuous Structures Approximate Methods Variables That Do Not Separate Concepts Summary Nonlinear Vibration Examples of Nonlinear Vibration The Phase Plane Perturbation Methods The Mathieu Equation The van der Pol Equation Motion in the Large Nonlinear Control Advanced Topics Concluding Summary Appendices A Mathematical Concepts for Vibration Complex Numbers Matrices Taylor Series and Linearization Ordinary Dierential Equations Laplace Transforms Fourier Series and Transforms Partial Dierential Equations Index

Probability Models in Engineering and Science

Abstract: INTRODUCTION Applications Units Organization of the Text Problems EVENTS AND PROBABILITY Sets Probability Concluding Summary Problems RANDOM VARIABLE MODELS Probability Distribution Function Probability Density Function Mathematical Expectation Variance USEFUL PROBABILITY DENSITIES Two Random Variables Concluding Summary Problems FUNCTIONS OF RANDOM VARIABLES Exact Functions of One Variable Functions of Two or More RVs General Case Approximate Analysis Monte Carlo Method Concluding Summary Problems The Standard Normal Table RANDOM PROCESSES Basic Random Process Descriptors Ensemble Averaging Stationarity Derivatives of Stationary Processes Fourier Series and Fourier Transforms Harmonic Processes Power Spectra Fourier Representation of a Random Process Borgman's Method of Frequency Discretization Concluding Summary Problems SINGLE DEGREE OF FREEDOM DYNAMICS Motivating Examples Deterministic SDoF Vibration SDoF: The Response to Random Loads Response to Two Random Loads Concluding Summary Problems MULTI DEGREE OF FREEDOM VIBRATION Deterministic Vibration Response to Random Loads Periodic Structures Inverse Vibration Random Eigenvalues Concluding Summary Problems CONTINUOUS SYSTEM VIBRATION Deterministic Continuous Systems Sturm-Liouville Eigenvalue Problem Deterministic Vibration Random Vibration of Continuous System Beams with Complex Loading Concluding Summary Problems RELIABILITY Introduction First Excursion Failure Fatigue Life Prediction Concluding Summary Problems NONLINEAR DYNAMIC MODELS Examples of Nonlinear Vibration Fundamental Nonlinear Equations Statistical Equivalent Linearization Perturbation Methods The van der Pol Equation Markov Process Based Models Concluding Summary Problems NONSTATIONARY MODELS Some Applications Envelope Function Model Nonstationary Generalizations Priestley's Model SDoF Oscillator Response Multi DoF Oscillator Response Nonstationary and Nonlinear Oscillator Concluding Summary Problems THE MONTE CARLO METHOD Introduction Random Number Generation Joint Random Numbers Error Estimates Applications Concluding Summary Problems FLUID INDUCED VIBRATION Ocean Currents and Waves Fluid Forces - In General Examples Available Numerical Codes Index

Dynamics of rotating machines

Abstract: This book equips the reader to understand every important aspect of the dynamics of rotating machines. Will the vibration be large? What influences machine stability? How can the vibration be reduced? Which sorts of rotor vibration are the worst? The book develops this understanding initially using extremely simple models for each phenomenon, in which (at most) four equations capture the behavior. More detailed models are then developed based on finite element analysis, to enable the accurate simulation of the relevant phenomena for real machines. Analysis software (in MATLAB) is associated with this book, and novices to rotordynamics can expect to make good predictions of critical speeds and rotating mode shapes within days. The book is structured more as a learning guide than as a reference tome and provides readers with more than 100 worked examples and more than 100 problems and solutions.

Microcantilevers: Sensing Chemical Interactions via Mechanical Motion

Abstract: 2.4. Temperature Effects 527 2.4.1. Effect on Material Properties 528 2.4.2. Effect on Geometry 528 3. Detection Schemes 528 3.1. Optical Lever 528 3.2. Interferometer 529 3.3. Piezoresistive 529 3.4. Capacitive 529 4. Design, Materials, and Fabrication 529 4.1. Design Considerations 530 4.2. Fabrication of Silicon-based Cantilevers 530 4.2.1. Film Deposition 530 4.2.2. Photolithography 530 4.2.3. Etching 530 4.2.4. Doping 530 4.3. Fabrication of Polymeric Cantilevers 531 5. Chemical Selectivity 531 6. Chemical Applications 533 6.1. Volatile Organics 533 6.2. Chemical Warfare Agents 534 6.3. Explosives 534 6.4. Toxic Metal Ions 534 7. Biological Applications 534 7.1. Cells 534 7.2. Viruses 534 7.3. Antigen−Antibody Interactions 535 7.4. DNA Hybridization 536 7.5. Enzymes 537 8. Recommendations for Future Work 538 8.1. Guidelines for Reporting Sensor Performance 538 8.2. Experimental Design Considerations 538 8.3. Fruitful Areas for Further Research 539 8.3.1. More Selective Coatings 539 8.3.2. Increased Sensitivity and Faster Response 539