Modeling a helical fluid inerter system with time‐invariant mem‐models

Abstract

Summary In this paper, experimental data from tests of a helical fluid inerter are used to model the observed hysteretic behavior. The novel idea is to test the feasibility of employing mem‐models, which are time‐invariant herein, to capture the observed phenomena by using physically meaningful state variables. First, we use a Masing model concept, identified with a multilayer feedforward neural network to capture the physical characteristics of the hysteresis functions. Following this, a more refined problem formulation based on the concept of a multi‐element model including a mem‐inerter is developed. This is compared with previous definitions in the literature and shown to be a more general model. Throughout this paper, numerical simulations are used to demonstrate the type of dynamic responses anticipated using the proposed time‐invariant mem‐models. Corresponding experimental measurements are processed to demonstrate and justify the new mem‐modeling concepts. Focusing on identifying the unknown function forms in the proposed problem formulations, the results show that it is possible to formulate a unified model constructed using both the damper and inerter from the mem‐model family. This model captures many of the more subtle features of the underlying physics, not captured by other forms of existing model.

A data‐driven hysteresis model

“…To this end, I first generate numerically a hysteresis loop that presents asymmetry and multiple loops, being my source of inspiration the loops observed in Wagg and Pei. 17 , Figures 5 and 6. This is done by choosing arbitrarily the points marked with a triangle pointing upward in Figure 3 to be the loading curve and the points marked with a triangle pointing downward to be the unloading curve.…”

“…However, the range of hysteresis loops observed in materials is much more diverse than the one provided by the Bouc-Wen model, since this range includes asymmetry of the loop, 13 pinching, 14,15 degrading, 16 or multiple loops. 17 This is why various authors proposed modifications of the Bouc-Wen model by incorporating more terms and parameters into the differential equation; see the survey paper. 18 There are numerous studies of these extended Bouc-Wen models by means of numerical simulations and/or comparison with experimental observations; see, for example, Tamuly et al 19 and references therein.…”

“…However, the range of hysteresis loops observed in materials is much more diverse than the one provided by the Bouc–Wen model, since this range includes asymmetry of the loop, 13 pinching, 14,15 degrading, 16 or multiple loops 17 . This is why various authors proposed modifications of the Bouc–Wen model by incorporating more terms and parameters into the differential equation; see the survey paper 18 …”

Performance analysis of the fractional-order vehicle mechatronic ISD suspension with parameter perturbation

“…The inerter can be implemented in many ways, such as a rack-and-pinion inerter (Papageorgiou and Smith, 2005; Karthik and James, 2018; Wang et al, 2014), ball-screw inerter (Papageorgiou et al, 2009;Siami and Karimi, 2020;He et al, 2017), hydraulic-based inerter Shen et al, 2019;Liu et al, 2019) and fluid-based inerter (Swift et al, 2013;Wagg and Pei, 2020;Liu et al, 2018). On this basis, a mechatronic inerter is obtained by coupling a mechanical-based inerter device with a rotating motor , which can effectively solve the high complexity of the mechanical network by using the function of electrical components to simulate the impedance of the corresponding mechanical components.…”

Variable friction‐tuned viscous mass damper and power‐flow‐based control

“…Vibration control issue in engineering has attracted an increasing amount of attention of researchers, 1–7 of which the inerter‐based vibration reduction approaches are effective and popular in recent years 8–12 . The mentioned inerter basically refers to an inertial element with two independent terminals 13 .…”