Modeling and Dynamics of a MDOF Isolation System

Song, Youshuo; Sun, Xiuting

doi:10.3390/app7040393

Cited by 8 publications

(4 citation statements)

References 32 publications

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“…In this study, transmissibility (T) is evaluated in terms of displacements. The displacement transmissibility, expressed in dB, is defined as the ratio between the amplitude of the response and the excitation in the respective direction [58]. It is evaluated using the given formula:…”

Section: Dynamic Properties Of the Structurementioning

confidence: 99%

Numerical Analysis of Dynamic Properties of an Auxetic Structure with Rotating Squares with Holes

Mrozek

Stręk

2022

Materials

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In this paper, a novel auxetic structure with rotating squares with holes is investigated. The unit cell of the structure consists of four units in the shape of a square with cut corners and holes. Finally, the structure represents a kind of modified auxetic structure made of rotating squares with holes or sheets of material with regularly arranged diamond and square cuts. Effective and dynamic properties of these structures depend on geometrical properties of the structure. The structures are characterized by an effective Poisson’s ratio from negative to positive values (from about minus one to about plus one). Numerical analysis is made for different geometrical features of the unit cells. The simulations enabled the determination of the dynamic characteristic of the analyzed structures using vibration transmission loss, transmissibility, and mechanical impedance. Numerical calculations were conducted using the finite element method. In the analyzed cases of cellular auxetic structures, a linear elasticity model of the material is assumed. The dynamic characteristic of modified rotating square structures is strongly dependent not only on frequency. The dynamic behavior could also be enhanced by adjusting the geometric parameter of the structure. Auxetic and non-auxetic structures show different static and dynamic properties. The dynamic properties of the analyzed structures were examined in order to determine the frequency ranges of dynamic loads for which the values of mechanical impedance and transmissibility are appropriate.

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Section: Dynamic Properties Of the Structurementioning

confidence: 99%

Numerical Analysis of Dynamic Properties of an Auxetic Structure with Rotating Squares with Holes

Mrozek

Stręk

2022

Materials

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“…In addition, a PVI with −40 dB/dec roll-off in the isolation (or rejected) band needs a low damping ratio, which may introduce significant unwanted amplification around its resonant frequency. Nonlinear techniques have been applied to reduce the natural frequency of the isolator system, thereby improving its performance [7][8][9][10][11][12][13][14]. The problem of having less than −40 dB/dec roll-off for high frequencies when the damping ratio is reduced can be alleviated by using a spring in parallel with a Maxwell element, i.e., damper and spring in series [15].…”

Section: Introductionmentioning

confidence: 99%

Vibration Isolation and Alignment of Multiple Platforms on a Non-Rigid Supporting Structure

et al. 2020

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In many applications comprised of multiple platforms with stringent vibration isolation requirements, several vibration isolators are employed to work in tandem. They usually must accomplish two objectives: (i) reduce the vibration level of each platform; and (ii) maintain the required alignment with respect to each other or with a fixed reference. If the isolators are located on a rigid supporting structure, the problem can be approached as a classical vibration isolation (VI) problem, in which an increase in damping implies a reduction of vibration level experienced by the platforms. However, there are an increasing number of scenarios in which the dynamic interaction between the isolator and the base structure has the potential to alter the system response and consequently degrade VI performance. In this work, a generalized method to analyze the combined VI and alignment problem, for multiple isolators located on a flexible supporting structure, is proposed. The dynamic interaction between the platforms and the isolators is considered in the control design, and it is proved employing two different functional values that the maximum damping solution is not always the best approach when the dynamics of the supporting structure are considered. Numerical simulations are presented to validate the theory developed and robustness of the proposed control approach is demonstrated.

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“…For example, Yang et al 10 presented an activepassive vibration isolation approach by establishing a mathematical model of the floating raft system, and the H ' controller was designed so as to suppress the vibration and noise. Song and Sun 11 analyzed the dynamic characteristics of a multiple-degree-of-freedom (MDOF) isolation system and achieved significant isolation effects. Li et al 12 investigated the dynamic characteristics and periodic vibration of the floating raft vibration isolation system by adopting the average approach.…”

Section: Introductionmentioning

confidence: 99%

Analysis and design of the power law damping based on the nonlinear vessel isolation system

Wang

Zhu

Zheng

et al. 2018

Advances in Mechanical Engineering

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In this study, the applications of the cubic power law damping in vessel isolation systems are investigated. The isolation performance is assessed using the force transmissibility of the vessel isolation system, which is simplified as a multipledegree-of-freedom system with two parallel freedoms. The force transmissibilities of different working conditions faced in practice are discussed by applying the cubic power law damping on different positions of the vessel isolation system. Numerical results indicate that by adding the cubic power law damping to an appropriate position, the isolation system can not only suppress the force transmissibility over the resonant frequency region but also keep the force transmissibility unaffected at the nonresonant frequency region. Moreover, the design of the nonlinear vessel isolation system is discussed by finding the optimal nonlinear damping of the isolation system.

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Modeling and Dynamics of a MDOF Isolation System

Cited by 8 publications

References 32 publications

Numerical Analysis of Dynamic Properties of an Auxetic Structure with Rotating Squares with Holes

Numerical Analysis of Dynamic Properties of an Auxetic Structure with Rotating Squares with Holes

Vibration Isolation and Alignment of Multiple Platforms on a Non-Rigid Supporting Structure

Analysis and design of the power law damping based on the nonlinear vessel isolation system

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