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RISAn Unsymmetrical Motion in a Horizontal Impact Oscillator
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Stability and bifurcation for the unsymmetrical, periodic motion of a horizontal impact oscillator under a periodic excitation are investigated through four mappings based on two switch-planes ...
Grazing and Chaos in a Periodically Forced, Piecewise Linear System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The criteria for the grazing bifurcation of a periodically forced, piecewise linear system are developed and the initial grazing manifolds are obtained. The initial grazing manifold is invariant. ...
Chaos and Quasi-Periodic Motions on the Homoclinic Surface of Nonlinear Hamiltonian Systems With Two Degrees of Freedom
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: 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. ...
On the Differential Geometry of Flows in Nonlinear Dynamical Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In order to investigate the geometrical relation between two flows in two dynamical systems, a flow for an investigated dynamical system is called the compared flow and a flow for a given ...
On Global Transversality and Chaos in Two-Dimensional Nonlinear Dynamical Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, the global transversality and tangency in two-dimensional nonlinear dynamical systems are discussed, and the exact energy increment function (L-function) for such nonlinear dynamical ...
A Novel Mathematical Formulation for Density-Based Topology Optimization Method Considering Multi-Axis Machining Constraint
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper proposes a novel density-based method for structural design considering restrictions of multi-axis machining processes. A new mathematical formulation based on Heaviside function is presented to transform the ...
Period-1 to Period-8 Motions in a Nonlinear Jeffcott Rotor System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, a bifurcation tree of period-1 to period-8 motions in a nonlinear Jeffcott rotor system is obtained through the discrete mapping method. The bifurcations and stability of periodic motions on the bifurcation ...
Computer-Aided Design-Based Topology Optimization System With Dynamic Feature Shape and Modeling History Evolution
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Conventional topology optimization presentations generally highlight the numerical and optimization details established on the specially customized discrete geometric modeling system, which is incompatible with the existing ...
A Parametric Level Set Method for Topology Optimization Based on Deep Neural Network
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper proposes a new parametric level set method for topology optimization based on deep neural network (DNN). In this method, the fully connected DNN is incorporated into the conventional level set methods to construct ...
Period-1 Motions to Twin Spiral Homoclinic Orbits in the Rössler System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, period-1 motions to twin spiral homoclinic orbits in the Rössler system are presented. The period-1 motions varying with a system parameter are predicted semi-analytically through an implicit mapping method, ...