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Characteristics of Numerical Simulations of Chaotic Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A generalized form of Duffing’s Equation is examined in order to gain insight into the characteristics and properties of chaotic motion. It is shown that variations in the forcing function ...
Chaotic Response of a Slider Crank Mechanism
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A physical and corresponding theoretical model of a slider-crank mechanism is presented that approximates the single mode response of a continuous beam under a time periodic excitation in which ...
Interpolated Cell Mapping of Dynamical Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A method is proposed to efficiently determine the basins of attraction of a nonlinear system’s different steady-state solutions. The phase space of the dynamical system is spacially discretized ...
Nonlinear Behavior of a Rotorcraft Model During Air Resonance
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The term “air resonance” refers to an instability associated with helicopters in hover. It is characterized by a coupling between motions of the fuselage and the blades and is of primary ...
On Localization in Coupled, Spinning, Circular Plates
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The vibrational response of multiple rotating circular plates, stacked together on a central spindle and coupled through stationary springs, is investigated. An analytical model is derived and a ...
Mode Localization in Coupled Circular Plates
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: When analyzing structures that are comprised of many similar pieces (periodic structures), it is common practice to assume perfect periodicity. Such an assumption will lead to the existence of ...
Interpolated Mapping System Identification for Free and Forced Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, we discuss a method of system identification based on Interpolated Mapping (IM). The method assumes the presence of sampled values of system states, based on which a map is ...
Active Control of a Circular Membrane to Reduce Transient Noise Transmission
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An active control approach that reduces transient noise transmission through a membrane in a circular duct is presented. Discrete sections of piezo-electrical film, PVDF, are used as actuators ...
Cell-to-Cell Mapping, A Method of Global Analysis for Nonlinear Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Component Mode Analysis of Nonlinear, Nonconservative Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper a method for attacking coupled linear-nonlinear problems is developed. This method allows one to express the equations of motion with a number of equations proportional to the ...