Dynamical systems often involve uncertainties either in their parameters or in their initial conditions. Therefore, in order to reliably compute the system response, it is important to understand and quantify the different sources of uncertainty. This necessitates carefully measuring the system parameters and propagating the associated uncertainty to the system response. In this paper we demonstrate an approach for propagating uncertainties from the system parameters to the output response using a benchtop pendulum system. Since the input parameters are treated as random variables, the output is also reported as a random quantity with appropriate error bounds.
Uncertainty Propagation of System Parameters to the Dynamic Response: An Application to a Benchtop Pendulum
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Petrushenko, D, & Khasawneh, FA. "Uncertainty Propagation of System Parameters to the Dynamic Response: An Application to a Benchtop Pendulum." Proceedings of the ASME 2017 International Mechanical Engineering Congress and Exposition. Volume 4B: Dynamics, Vibration, and Control. Tampa, Florida, USA. November 3–9, 2017. V04BT05A052. ASME. https://doi.org/10.1115/IMECE2017-71105
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