Browsing Journal of Computational and Nonlinear Dynamics by Issue Date
Now showing items 1-20 of 1667
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On the Periodicity of the Rational Dynamical System Corresponding to the Vannimenus–Ising Model
(The American Society of Mechanical Engineers (ASME), 11/17/2022)The universal behaviors of a rational dynamical system associated with the Vannimenus–Ising model having two coupling constants on a Cayley tree of order three are studied. Cobweb diagrams and related map iterates for some ... -
Constrained Large-Displacement Thermal Analysis
(The American Society of Mechanical Engineers (ASME), 12/12/2022)Two different cases are encountered in the thermal analysis of solids. In the first case, continua are not subject to boundary and motion constraints and all material points experience same displacement-gradient changes ... -
Atangana–Baleanu Semilinear Fractional Differential Inclusions With Infinite Delay: Existence and Approximate Controllability
(The American Society of Mechanical Engineers (ASME), 12/20/2022)The main focus of this paper is centered around approximate controllability results of Atangana–Baleanu fractional differential systems with infinite delay. Using principles and ideas from the theory of multivalued maps, ... -
A Twenty-First Century Guidebook for Applied Dynamical Systems
(The American Society of Mechanical Engineers (ASME), 2006)This paper represents the author’s view on the impact of the book Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields by John Guckenheimer and Philip Holmes, first published ... -
The Influence of G&H on Nonlinear Dynamics
(The American Society of Mechanical Engineers (ASME), 2006)This paper describes the place of the book by and (Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer-Verlag, Berlin, 1983) in the research and literature on ... -
New Periodic Orbits for the n-Body Problem
(The American Society of Mechanical Engineers (ASME), 2006)Since the discovery of the figure-eight orbit for the three-body problem [, 1993, Phys. Rev. Lett., 70, pp. 3675–3679] a large number of periodic orbits of the n-body problem with equal masses ... -
Call for The D'Alembert Award for Multibody System Dynamics and The Lyapunov Award for Nonlinear Dynamics
(The American Society of Mechanical Engineers (ASME), 2006)The Technical Committee on Multibody Systems and Nonlinear Dynamics (MSND-TC) of the ASME Design Engineering Division solicits nominations for the D'Alembert Award and the Lyapunov Award. These ... -
Co-dimension-Two Grazing Bifurcations in Single-Degree-of-Freedom Impact Oscillators
(The American Society of Mechanical Engineers (ASME), 2006)Grazing bifurcations in impact oscillators characterize the transition in asymptotic dynamics between impacting and nonimpacting motions. Several different grazing bifurcation scenarios under variations ... -
Tautochronic Vibration Absorbers for Rotating Systems
(The American Society of Mechanical Engineers (ASME), 2006)This paper describes an analytical and experimental investigation of the dynamic response and performance of a special type of centrifugal pendulum vibration absorber used for reducing torsional ... -
A Reflection on Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields by J. Guckenheimer and P. J. Holmes
(The American Society of Mechanical Engineers (ASME), 2006)In the autumn of 1983, I was just embarking on a Ph.D. in structural dynamics at the University College London (UCL) under the guidance of Professor Michael Thompson, FRS. I had spent the ... -
Dynamic Modeling and Experimental Testing of a Piano Action Mechanism
(The American Society of Mechanical Engineers (ASME), 2006)A model for a grand piano action is proposed in this paper. The multibody dynamic model treats each of the five main action components (key, whippen, jack, repetition lever, and hammer) as ... -
Development of Elastic Forces for a Large Deformation Plate Element Based on the Absolute Nodal Coordinate Formulation
(The American Society of Mechanical Engineers (ASME), 2006)Dynamic analysis of large rotation and deformation can be carried out using the absolute nodal coordinate formulation. This formulation, which utilizes global displacements and slope coordinates ... -
Viscous Shocks in the Destabilized Kuramoto-Sivashinsky Equation
(The American Society of Mechanical Engineers (ASME), 2006)We study stationary periodic solutions of the Kuramoto-Sivashinsky (KS) model for complex spatio-temporal dynamics in the presence of an additional linear destabilizing term. In particular, we ... -
Analysis of the Chatter Instability in a Nonlinear Model for Drilling
(The American Society of Mechanical Engineers (ASME), 2006)In this paper we present stability analysis of a non-linear model for chatter vibration in a drilling operation. The results build our previous work [, and , 2002, “Nonlinear Models of Chatter ... -
A Computational Approach to Conley’s Decomposition Theorem
(The American Society of Mechanical Engineers (ASME), 2006)Background. The discrete dynamics generated by a continuous map can be represented combinatorially by an appropriate multivalued map on a discretization of the phase space such as a cubical ... -
Hopf-Hopf Interactions of Surge and Rotating Stall
(The American Society of Mechanical Engineers (ASME), 2006)In this paper, we examine the interaction of two instabilities that occur in axial compressors using the Hopf-Hopf normal form. As a result, we illuminate some gaps in understanding the dynamics ... -
Chaos and Quasi-Periodic Motions on the Homoclinic Surface of Nonlinear Hamiltonian Systems With Two Degrees of Freedom
(The American Society of Mechanical Engineers (ASME), 2006)The numerical prediction of chaos and quasi-periodic motion on the homoclinic surface of a two-degree-of-freedom (2-DOF) nonlinear Hamiltonian system is presented through the energy spectrum method. ... -
Computational Dynamics of Multibody Systems: History, Formalisms, and Applications
(The American Society of Mechanical Engineers (ASME), 2006)Multibody dynamics is based on analytical mechanics and is applied to engineering systems such as a wide variety of machines and all kind of vehicles. Multibody dynamics depends on computational ... -
Dynamics and Stability of a Two Degree of Freedom Oscillator With an Elastic Stop
(The American Society of Mechanical Engineers (ASME), 2006)A two degree of freedom oscillator with a colliding component is considered. The aim of the study is to investigate the dynamic behavior of the system when the stiffness obstacle changes to ... -
The Dynamic Response of Tuned Impact Absorbers for Rotating Flexible Structures
(The American Society of Mechanical Engineers (ASME), 2006)This paper describes an analytical investigation of the dynamic response and performance of impact vibration absorbers fitted to flexible structures that are attached to a rotating hub. This ...