Error Quantification in Dynamic Applications of Weakly Nonlinear Transducers
Lautaro D. Cilenti, Akobuije Chijioke, Balakumar Balachandran
Characterization and quantification of dynamic measurements is an ongoing area of research in the metrological community as new calibration methods are being developed to address dynamic measurement applications. The development undertaken to date largely assumes that nominally linear transducers can be used with linear assumptions in deconvolution of the input from the response and in system identification. To quantify the errors that arise from these assumptions, in this article, the effects of weak nonlinearities in transducers that are assumed to behave linearly during dynamic excitations are studied. Specifically, a set of first-order and second-order systems, which can model many transducers with weak nonlinearities, are used to numerically quantify the systemic errors due to the linear assumptions underlying the deconvolution. We show through the presented results the evolution of different error metrics over a large parameter space of possible transducers. Additionally, an example of quantification of the errors due to linear assumptions in system identification is demonstrated using a time-series sparse regression system identification strategy. It is shown that the errors generated from linear identification of a nonlinear transducer can counteract the systemic errors that arise in the linear deconvolution process when the linear system identification was performed in similar loading conditions. In general, the methodology and results presented here can be useful for understanding the effect of nonlinearity in single degree of freedom transient dynamics deconvolution and specifically in specifying certain metrics of errors in transducers with known weak nonlinearity.
ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 2: 16th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC)
, Chijioke, A.
and Balachandran, B.
Error Quantification in Dynamic Applications of Weakly Nonlinear Transducers, ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 2: 16th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC), St Louis, MO, US, [online], https://doi.org/10.1115/DETC2020-22137, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=930085
(Accessed October 18, 2021)