Topic
Describing function
About: Describing function is a research topic. Over the lifetime, 1742 publications have been published within this topic receiving 26702 citations.
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TL;DR: In this paper, the authors present theoretical and experimental results concerning a feedback control system employing a Terfenol-D-based smart actuator, which exhibits significant hysteresis and can generate self-sustained periodic oscillations in the control loop.
Abstract: This paper presents theoretical and experimental results concerning a feedback control system employing a Terfenol-D-based smart actuator. Such magnetostrictive devices exhibit significant hysteresis, which, under some conditions, can generate self-sustained periodic oscillations in the control loop. The paper proposes a general procedure to find these conditions and to compute this periodic solution by exploiting some classical results about describing function analysis and the well-known Preisach operator theory. The theoretical findings are supported by a rigorous mathematical analysis resorting to fixed-point theorems.
20 citations
Journal Article•
20 citations
TL;DR: In this paper, a procedure has been developed to identify the parameters of a nonlinear structural dynamic system with a single degree of freedom, where the input of the system is treated a s an unknown.
Abstract: A procedure has been developed t o identify the parameters of a nonlinear structural dynamic system with a single degree of freedom. A cubic nonlinearity has been assumed for purposes of illustration. In comparison t o the direct identification procedures, that depend on (a) either the availability of data on all four variables, namely, velocity, acceleration, displacement and the input t o the system or (b) the formulation of a numerical algorithm that can be used a t each iterative step, the developed procedure requires the data on only one of the field variables. The input t o the system is also treated a s an unknown. The results from the perturbation identification procedure have been compared with the results from two direct identification procedures.
20 citations
TL;DR: For nonlinear controlled optical storage drives, a frequency-domain measurement approach is shown to be effective in demonstrating both stability and performance and the motivation for applying such an approach is illuminated.
Abstract: For nonlinear controlled optical storage drives, a frequency-domain measurement approach is shown to be effective in demonstrating both stability and performance. In an experimental setting based on an industrial optical playback (CD drive) device, the motivation for applying such an approach is illuminated. It is shown that performance can efficiently be assessed using a describing function approach on a model level and using swept-sine measurements on an experimental level. The validity and effectiveness of the approach is extensively shown via closed-loop measurements.
20 citations
TL;DR: In this article, a technique for the explicit formulation of frequency response functions (FRFs) for nonlinear MDOF systems, yielding closed-form analytical expressions, is presented, which produces FRFs at selected coordinates only, regardless of the system's size or the type of nonlinearity.
20 citations