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    An Implicit Function Method for Computing the Stability Boundaries of Hill's Equation 

    Source: Journal of Computational and Nonlinear Dynamics:;2025:;volume( 020 ):;issue: 006:;page 61007-1
    Author(s): Chikmagalur, Karthik; Bamieh, Bassam
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Hill's equation is a common model of a time-periodic system that can undergo parametric resonance for certain choices of system parameters. For most kinds of parametric forcing, stable regions in its two-dimensional parameter ...
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    Optimal Periodic Control of an Ideal Stirling Engine Model 

    Source: Journal of Dynamic Systems, Measurement, and Control:;2015:;volume( 137 ):;issue: 007:;page 71002
    Author(s): Craun, Mitchel; Bamieh, Bassam
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We consider an optimal control problem for a model of a Stirling engine that is actively controlled through its displacer piston motion. The framework of optimal periodic control (OPC) is used as the setting for this active ...
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    Control-Oriented Modeling of the Dynamics of Stirling Engine Regenerators 

    Source: Journal of Dynamic Systems, Measurement, and Control:;2018:;volume( 140 ):;issue: 004:;page 41001
    Author(s): Craun, Mitchel; Bamieh, Bassam
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We develop a first-principles model of the regenerator component of a generic Stirling engine. The model is based on the Euler equations of one-dimensional gas dynamics coupled with its convective/conductive heat transfer ...
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    An Implicit Function Method for Computing the Stability Boundaries of Hill's Equation 

    Source: Journal of Computational and Nonlinear Dynamics:;2025:;volume( 020 ):;issue: 006:;page 61007-1
    Author(s): Chikmagalur, Karthik; Bamieh, Bassam
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Hill's equation is a common model of a time-periodic system that can undergo parametric resonance for certain choices of system parameters. For most kinds of parametric forcing, stable regions in its two-dimensional parameter ...
    Request PDF
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