Francis C. Moon
Other affiliations: Glenn Research Center, University of Delaware, Princeton University ...read more
Bio: Francis C. Moon is an academic researcher from Cornell University. The author has contributed to research in topics: Nonlinear system & Attractor. The author has an hindex of 47, co-authored 205 publications receiving 8705 citations. Previous affiliations of Francis C. Moon include Glenn Research Center & University of Delaware.
Papers published on a yearly basis
TL;DR: These modal equations indicate that distributed piezoelectric sensors/actuators can be adopted to measure/excite specific modes of one-dimensional plates and beams and a way to create a special two-dimensional modal sensor is presented.
Abstract: A piezoelectric laminate theory that uses the piezoelectric phenomenon to effect distributed control and sensing of structural vibration of a flexible plate has been used to develop a class of distributed sensor/actuators, that of modal sensors/actuators. The one-dimensional modal sensors/actuator equations are first derived theoretically and then examined experimentally. These modal equations indicate that distributed piezoelectric sensors/actuators can be adopted to measure/excite specific modes of one-dimensional plates and beams. If constructed correctly, actuator/observer spillover will not be present in systems adopting these types of sensors/actuators. A mode 1 and a mode 2 sensor for a one-dimensional cantilever plate were constructed and tested to examine the applicability of the modal sensors/actuators. A modal coordinate analyzer which allows us to measure any specific modal coordinate on-line real-time is proposed. Finally, a way to create a special two-dimensional modal sensor is presented.
TL;DR: In this paper, the authors presented experimental evidence for chaotic type non-periodic motions of a deterministic magnetoelastic oscillator, analogous to solutions in non-linear dynamic systems possessing what have been called "strange attractors".
Abstract: Experimental evidence is presented for chaotic type non-periodic motions of a deterministic magnetoelastic oscillator. These motions are analogous to solutions in non-linear dynamic systems possessing what have been called “strange attractors”. In the experiments described below a ferromagnetic beam buckled between two magnets undergoes forced oscillations. Although the applied force is sinusoidal, nevertheless bounded, non-periodic, apparently chaotic motions result due to jumps between two or three stable equilibrium positions. A frequency analysis of the motion shows a broad spectrum of frequencies below the driving frequency. Also the distribution of zero crossing times shows a broad spectrum of times greater than the forcing period. The driving amplitude and frequency parameters required for these non-periodic motions are determined experimentally. A continuum model based on linear elastic and non-linear magnetic forces is developed and it is shown that this can be reduced to a single degree of freedom oscillator which exhibits chaotic solutions very similar to those observed experimentally. Thus, both experimental and theoretical evidence for the existence of a strange attractor in a deterministic dynamical system is presented.
01 Jan 1992
TL;DR: A fascinating and timely look at the applications of chaotic dynamics in science and technology can be found in this paper, which reflects the collected research of the world's foremost physicists, chemists, mathematicians, engineers, and computer scientists.
Abstract: A fascinating and timely look at the applications of chaotic dynamics in science and technology, this volume reflects the collected research of the world's foremost physicists, chemists, mathematicians, engineers, and computer scientists. An outgrowth of the EPRI-sponsored International Workshop on Applications of Chaos, this work reveals how the concepts and language of chaos link these disparate fields together . Subjects covered include the dynamics of electrocardiograph data, the instability of conveyor belts, time series modelling, the control of chaos, and more. 1992 (0471-54453-1)450 pp.
01 Jan 1987
TL;DR: A survey of systems with Chaotic Vibrations can be found in this paper, where the authors present a glossary of terms in Chaotic and nonlinear vibrational theory.
Abstract: 1. Introduction: A New Age of Dynamics. 1.1 What Is Chaotic Dynamics? 1.2 Classical Nonlinear Vibration Theory: A Brief Review. 1.3 Maps and Flows. 2. How to Identify Chaotic Vibrations. 3. A Survey of Systems with Chaotic Vibrations. 3.1 New Paradigms in Dynamics. 3.2 Mathematical Models of Chaotic Physical Systems. 3.3 Physical Experiments in Chaotic Systems. 4. Experimental Methods in Chaotic Vibrations. 4.1 Introduction: Experimental Goals. 4.2 Nonlinear Elements in Dynamical Systems. 4.3 Experimental Controls. 4.4 Phase Space Measurements. 4.5 Bifurcation Diagrams. 4.6 Experimental Poincare Maps. 4.7 Quantitative Measures of Chaotic Vibrations. 5. Criteria for Chaotic Vibrations. 5.1 Introduction. 5.2 Introduction Empirical Criteria for Chaos. 5.3 Theoretical Predictive Criteria. 5.4 Lyapunov Exponents. 6. Fractal Concepts in Nonlinear Dynamics. 6.1 Introduction. 6.2 Measures of Fractal Dimension. 6.3 Fractal Dimension of Strange Attractors. 6.4 Optical Measurement of Fractal Dimension. 6.5 Fractal Basin Boundaries. 6.6 complex Maps and the Mandelbrot Set. Appendix A. Glossary of Terms in Chaotic and Nonlinear Vibrations. Appendix B. Appendix C. Numerical Experiments in Chaos. Appendix C. Chaotic Toys. References. Author Index. Subject Index.
07 Nov 1996
TL;DR: One-dimensional maps, two-dimensional map, fractals, and chaotic attraction attractors have been studied in this article for state reconstruction from data, including the state of Washington.
Abstract: One-Dimensional Maps.- Two-Dimensional Maps.- Chaos.- Fractals.- Chaos in Two-Dimensional Maps.- Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limit Sets.- Chaos in Differential Equations.- Stable Manifolds and Crises.- Bifurcations.- Cascades.- State Reconstruction from Data.
TL;DR: Future directions such as the "print-it-all" paradigm, that have the potential to re-imagine current research and spawn completely new avenues for exploration are pointed out.
Abstract: Additive manufacturing (AM) is poised to bring about a revolution in the way products are designed, manufactured, and distributed to end users. This technology has gained significant academic as well as industry interest due to its ability to create complex geometries with customizable material properties. AM has also inspired the development of the maker movement by democratizing design and manufacturing. Due to the rapid proliferation of a wide variety of technologies associated with AM, there is a lack of a comprehensive set of design principles, manufacturing guidelines, and standardization of best practices. These challenges are compounded by the fact that advancements in multiple technologies (for example materials processing, topology optimization) generate a "positive feedback loop" effect in advancing AM. In order to advance research interest and investment in AM technologies, some fundamental questions and trends about the dependencies existing in these avenues need highlighting. The goal of our review paper is to organize this body of knowledge surrounding AM, and present current barriers, findings, and future trends significantly to the researchers. We also discuss fundamental attributes of AM processes, evolution of the AM industry, and the affordances enabled by the emergence of AM in a variety of areas such as geometry processing, material design, and education. We conclude our paper by pointing out future directions such as the "print-it-all" paradigm, that have the potential to re-imagine current research and spawn completely new avenues for exploration. The fundamental attributes and challenges/barriers of Additive Manufacturing (AM).The evolution of research on AM with a focus on engineering capabilities.The affordances enabled by AM such as geometry, material and tools design.The developments in industry, intellectual property, and education-related aspects.The important future trends of AM technologies.
TL;DR: A review of the major efforts and findings documented in the literature can be found in this article, where a common analytical framework for bistable electromechanical dynamics is presented, the principal results are provided, the wide variety of bistably energy harvesters are described, and some remaining challenges and proposed solutions are summarized.
Abstract: The investigation of the conversion of vibrational energy into electrical power has become a major field of research. In recent years, bistable energy harvesting devices have attracted significant attention due to some of their unique features. Through a snap-through action, bistable systems transition from one stable state to the other, which could cause large amplitude motion and dramatically increase power generation. Due to their nonlinear characteristics, such devices may be effective across a broad-frequency bandwidth. Consequently, a rapid engagement of research has been undertaken to understand bistable electromechanical dynamics and to utilize the insight for the development of improved designs. This paper reviews, consolidates, and reports on the major efforts and findings documented in the literature. A common analytical framework for bistable electromechanical dynamics is presented, the principal results are provided, the wide variety of bistable energy harvesters are described, and some remaining challenges and proposed solutions are summarized.
TL;DR: In this article, a review of low-velocity impact responses of composite materials is presented, where major impact-induced damage modes are described from onset of damage through to final failure and the effects of composite's constituents on impact properties are discussed and post-impact performance is assessed in terms of residual strength.
Abstract: This paper is a review of low-velocity impact responses of composite materials. First the term ‘low-velocity impact’ is defined and major impact-induced damage modes are described from onset of damage through to final failure. Then, the effects of the composite's constituents on impact properties are discussed and post-impact performance is assessed in terms of residual strength.
TL;DR: In this article, a review of the past and recent developments in system identification of nonlinear dynamical structures is presented, highlighting their assets and limitations and identifying future directions in this research area.
Abstract: This survey paper contains a review of the past and recent developments in system identification of nonlinear dynamical structures. The objective is to present some of the popular approaches that have been proposed in the technical literature, to illustrate them using numerical and experimental applications, to highlight their assets and limitations and to identify future directions in this research area. The fundamental differences between linear and nonlinear oscillations are also detailed in a tutorial.