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RISBifurcation Analysis in Dynamical Systems Through Integration of Machine Learning and Dynamical Systems Theory
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Characterizing the nonlinear behavior of dynamical systems near the stability boundary is a critical step toward understanding, designing, and controlling systems prone to stability concerns. Traditional methods for ...
An Alternative Form of the Equation of Motion for Constrained Structural and Mechanical Systems With Singular Mass Matrices
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper develops an alternative description of the general equation of motion for constrained mechanical systems with singular mass matrices. The formulation gives a new explicit equation of motion for such systems and ...
An Alternative Form of the Equation of Motion for Constrained Structural and Mechanical Systems With Singular Mass Matrices
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper develops an alternative description of the general equation of motion for constrained mechanical systems with singular mass matrices. The formulation gives a new explicit equation of motion for such systems and ...
The Use of Zero-Mass Particles in Analytical and Multi-Body Dynamics: Sphere Rolling on An Arbitrary Surface
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Zero-mass particles are, as a rule, never used in analytical dynamics, because they lead to singular mass matrices. However, recent advances in the development of the explicit equations of motion of constrained mechanical ...