The missing mem-inerter and extended mem-dashpot found

Biolková

et al. 2022

Sensors

State-dependent resistors, capacitors, and inductors are a common part of many smart engineering solutions, e.g., in MEMS (Micro-Electro-Mechanical Systems) sensors and actuators, Micro/NanoMachines, or biomimetic systems. These memory elements are today modeled as generic and extended memristors (MR), memcapacitors (MC), and meminductors (ML), which are more general versions of classical MR, MC, and ML from the infinite set of the fundamental elements of electrical engineering, known as Higher-Order Elements (HOEs). It turns out that models of many complex phenomena in MEMS cannot be constructed only from classical and state-dependent elements such as R, L, and C, but that other HOEs with generalized behavior should also be used. Thus, in this paper, generic and extended versions of HOEs are introduced, overcoming the existing limitation to MR, MC, and ML elements. The relevant circuit theorems are formulated, which generalize the well-known theorems of classical memory elements, and their application to model complex processes of various physical natures in MEMS is shown.

“…A fluidic version of the inerter is proposed in [ 26 ]. This device has been modified into a position-dependent inerter or meminerter in [ 27 ]. Its arrangement is presented in Figure 2 .…”

Section: Illustrative Example—fluid Meminertermentioning

confidence: 99%

Extended and Generic Higher-Order Elements for MEMS Modeling

Biolková

et al. 2022

Sensors

“…Combined with the hydraulic inerter structure studied [17], the inertance properties of hydro-pneumatic ISD suspension can be expressed by the fluid pressure difference at both ends of the helical channel.…”

Section: Inertance Propertiesmentioning

confidence: 99%

“…Some previous researches on these suspensions highlighted that inerter can add fixed virtual mass to the sprung mass to reduce sprung mass natural frequency and improve ride comfort of vehicles [10][11][12][13][14]. e inerter-spring-damper (ISD) suspension proposed by Smith is a breakthrough in further improving the performance of the spring-damper suspension, which is based on the classical vibration isolation theory [4,[15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Simulation Analysis and Experiment Research on Hydro‐Pneumatic ISD Suspension

Zhang

Liu

Nie

et al. 2021

Shock and Vibration

Self Cite

To address the problems of mechanical two-stage inerter-spring-damper (ISD) suspension such as excessive suspension elements, complex structure, and problematic engineering implementation, a hydro-pneumatic two-stage ISD suspension, which integrates hydro-pneumatic spring and inerter, is proposed. The full vehicle model of hydro-pneumatic ISD suspension is established based on the AMESim. Simulation analysis is performed to demonstrate the effectiveness and performances of the proposed suspension. The hydro-pneumatic ISD suspension prototype is developed and tested on four-poster tire-coupled road simulator. The results suggest that, compared with single-chamber hydro-pneumatic suspension, the hydro-pneumatic ISD one can significantly reduce the vibrations of the vehicle body and wheels, but at the expense of an excessive increase of suspension working space (SWS). In contrast, although proposed suspension is also a type of dual-chamber hydro-pneumatic one, it can not only reduce these vibrations but also downsize the SWS, which means it is the best choice for a more comfortable and safer ride.

“…Adopting the Firestone (mobility) analogy 7 for which voltage is considered analogous to velocity and current is analogous to force, suggests that the voltage-controlled memcapacitor (2) can be considered as the electrical analogue of a recently proposed and experimentally realized mechanical displacement-dependent mem-inerter. 17,18 Such system exhibits a displacement-dependent inertance (mechanical 'capacitance') of the form…”

Section: Mechanical Analogue: the Mem-inertermentioning

confidence: 99%

Memcapacitors and Meminductors are Overunity Systems!

Jeltsema,

van der Schaft

2020

Preprint

It is rigorously proved that ideal memcapacitors and meminductors are not passive or lossless devices, nor are they satisfying the weaker notion of cyclo-passivity, which arises when dropping the requirement of non-negativity of the storage function. Equivalently, this implies that there exist excitation profiles that allow to extract more energy from the device than it is supplied with; so that their energy conversion efficiency exceeds 100%. This means that ideal memcapacitors and meminductors constitute so-called overunity systems. An illustrative mechanical analogue is provided that explicitly confirms this property. Hence, the question arises if ideal memcapacitors and meminductors will just remain some mathematical toys or artefacts.