Inerter-Based Configurations for Main-Landing-Gear Shimmy Suppression

Li, Yuan; Jiang, Jason Zheng; Neild, Simon A

doi:10.2514/1.c033964

Cited by 96 publications

(55 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…By substituting A 1 ,…, F 1 to , condition can then be obtained, respectively. Furthermore, according to the element values derived in [, Theorem 10], we obtain R 1 , R 2 , R 3 , L 1 and C 1 shown in . Sufficiency . Given a positive‐real bicubic impedance with A , B , C , D , E , F , G , H >0 satisfying the conditions and , we can calculate the values of R 1 , R 2 , R 3 , R 4 , C 1 , L 1 and L 2 , according to .…”

Section: Synthesis Of Essential‐regular Bicubic Functionsmentioning

confidence: 87%

Section: Synthesis Of Essential‐regular Bicubic Functionsmentioning

confidence: 87%

“…First, substituting , , into and equating with the inverse of , then expressing A 1 , B 1 ,…, F 1 with parameters A , B ,…, H , we can obtain

A_{1} = \frac{k E a_{4}}{A a_{1}}, B_{1} = \frac{k E a_{5}}{A a_{1}}, C_{1} = \frac{k D E}{A}, D_{1} = \frac{k E a_{1}}{A^{2}}, E_{1} = \frac{k E a_{2}}{A^{2}}, F_{1} = \frac{k E a_{3}}{A^{2}},

where k is a positive constant and a 1 ,…, a 5 can be found in . For Z 1 ( s ) to be realisable by the network of Figure ‐II(a) with L 1 , C 1 positive and finite, based on [, table I and Theorem 10], the parameters A 1 ,…, F 1 should be non‐negative and satisfy

\begin{matrix} right & left A_{1} F_{1} - C_{1} D_{1} ⩾ 0, & right \\ right & left λ_{1} = E_{1} (B_{1} F_{1} - C_{1} E_{1}) - F_{1} (A_{1} F_{1} - C_{1} D_{1}) ⩾ 0, \\ right & left K = (A_{1} F \end{matrix}

…”

Section: Synthesis Of Essential‐regular Bicubic Functionsmentioning

confidence: 99%

“…Under the force‐current analogy, spring, damper and inerter correspond to inductor, resistor and capacitor, respectively. Applications of mechanical systems that contain inerters have been demonstrated for vibration isolation and suppression of road vehicles , motorcycle steering systems , multi‐storey buildings , railway vehicles and landing gears . Compared with electrical realisations, mechanical network synthesis has its own weight and space constraints.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Synthesis of essential‐regular bicubic impedances

Zhang

Jiang

Wang

et al. 2017

Circuit Theory & Apps

Self Cite

View full text Add to dashboard Cite

Summary This paper provides a complete realisation of a special class of positive‐real bicubic impedances. The problem is motivated by the concept of the inerter, which is the mechanical dual of a capacitor. This device allows mechanical network synthesis, by completing the electrical mechanical analogy. With mechanical synthesis, the emphasis is to minimise the number of elements required to allow feasible implementation. The definitions of simple‐series‐parallel networks and essential‐regular positive‐real functions are introduced. The simple‐series‐parallel minimum‐reactive networks that can realise all essential‐regular bicubics are identified and grouped into six network quartets. One of the advantages of these networks is that they contain the minimal number of reactive elements. The necessary and sufficient realisability conditions for all these networks, as well as corresponding element values, are then derived. Finally, numerical examples are provided to illustrate the validity of the theoretical results. In the course of the argument, interesting conclusions regarding essential‐regular bilinear and biquadratic functions have also been presented. Copyright © 2017 John Wiley & Sons, Ltd.

show abstract

Section: Synthesis Of Essential‐regular Bicubic Functionsmentioning

confidence: 87%

Section: Synthesis Of Essential‐regular Bicubic Functionsmentioning

confidence: 87%

“…First, substituting , , into and equating with the inverse of , then expressing A 1 , B 1 ,…, F 1 with parameters A , B ,…, H , we can obtain

A_{1} = \frac{k E a_{4}}{A a_{1}}, B_{1} = \frac{k E a_{5}}{A a_{1}}, C_{1} = \frac{k D E}{A}, D_{1} = \frac{k E a_{1}}{A^{2}}, E_{1} = \frac{k E a_{2}}{A^{2}}, F_{1} = \frac{k E a_{3}}{A^{2}},

\begin{matrix} right & left A_{1} F_{1} - C_{1} D_{1} ⩾ 0, & right \\ right & left λ_{1} = E_{1} (B_{1} F_{1} - C_{1} E_{1}) - F_{1} (A_{1} F_{1} - C_{1} D_{1}) ⩾ 0, \\ right & left K = (A_{1} F \end{matrix}

…”

Section: Synthesis Of Essential‐regular Bicubic Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Synthesis of essential‐regular bicubic impedances

Zhang

Jiang

Wang

et al. 2017

Circuit Theory & Apps

Self Cite

View full text Add to dashboard Cite

show abstract

“…Other configurations involving inerters, such as Ikago et al who introduced a tuned viscous mass damper for civil engineering applications, have been proposed in the literature and are discussed by Zhang et al In addition to the earlier studies demonstrating how TIDs can be designed to improve the behaviour of host structures, such as multistorey buildings or stay cables, TIDs have also been tested experimentally using dynamic substructuring emphasising their feasibility and applicability. Besides civil engineering design applications,() inerter‐based vibration absorbers have been considered in the context of a range of practical applications, such as vehicle suspensions,() train suspensions,() or aircraft landing gears . The majority of the studies on optimal control devices of the kind presented herein consider frequency or time‐domain analyses that involve the calculation of multiple structural system's response.…”

Section: Introductionmentioning

confidence: 99%

Performance‐based seismic design of tuned inerter dampers

Radu

Lazar

Neild

2019

Struct Control Health Monit

View full text Add to dashboard Cite

Summary This paper proposes a novel fully probabilistic framework for the performance‐based seismic design of structures and uses tuned inerter dampers (TID) installed in civil engineering structures subjected to seismic loads to illustrate its applicability. The framework proposed is based on stochastic reduced‐order models, which makes it computationally efficient and can be used for the design of TIDs installed in any complex nonlinear structures subjected to general nonstationary, non‐Gaussian stochastic processes. In this study, the TID is installed in a multi‐degree‐of‐freedom nonlinear structure that is subjected to synthetic seismic records. Numerical results show that the framework proposed is able to provide rigorous and robust values for the parameters of the TID. The design parameters obtained using the stochastic framework proposed are compared with benchmark deterministic approaches, tested also for a large data set of ground‐motion real records. It is shown that the stochastic approach provides insightful designs of the TID that are consistent with the site seismicity and the frequency content of the stochastic excitation.

show abstract

Optimal design of a pair of vibration suppression devices for a multi‐storey building

Zhang

Neild

Jiang

2019

Struct Control Health Monit

Self Cite

View full text Add to dashboard Cite

This paper investigates the use of two two-terminal vibration suppression devices in a building and assesses the performance benefits over those achieved using a single device. The inerter-combined configurations for a multi-storey building structure are considered. The inerter is a two-terminal device, with the property that the applied force is proportional to the relative acceleration across its terminals. In this paper, a five-storey building model with two absorbers of the same kind subjected to base excitation is studied, where one is located between ground and the first floor and the other is between the first and second floors of the building. Three passive suppression layouts, two dampers, two tuned inerter dampers, and two tuned viscous mass dampers are considered. The optimal configurations for minimising the maximum interstorey drifts of the building are obtained with respect to the inerter's size and the damping boundary. The corresponding parameter values are also presented. For the sake of comparison, the single device mounted between the ground and first floor is also considered.Finally, with specific inertance and damping values, the frequency response is provided to show the potential advantage of the proposed optimal configurations. It is demonstrated that the optimal configurations with a pair of devices are more effective than the optimal single device with equal total inertance and the same total damping boundary. The approach demonstrated in this paper is applicable to the investigation of using more than two devices for multistorey buildings. KEYWORDS a pair of absorbers, base excitation, Inerter, structural control, vibration suppression Struct Control Health Monit. 2020;27:e2498.wileyonlinelibrary.com/journal/stc

show abstract

Inerter-Based Configurations for Main-Landing-Gear Shimmy Suppression

Abstract: General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms

Cited by 96 publications

References 25 publications

Synthesis of essential‐regular bicubic impedances

Synthesis of essential‐regular bicubic impedances

Performance‐based seismic design of tuned inerter dampers

Optimal design of a pair of vibration suppression devices for a multi‐storey building

Contact Info

Product

Resources

About