Analysis on nonlinear stiffness and vibration isolation performance of scissor-like structure with full types

Zhang, Wei; Zhao, Jiangbo

doi:10.1007/s11071-016-2869-z

Cited by 42 publications

(16 citation statements)

References 27 publications

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“…Due to their good characteristics such as simple structure, high loading capacity and excellent equilibrium stability [1], deployable structures comprised of SLEs are widely used in many fields, such as architecture [2], antivibration [3] and astronautics [4]. So a great many literatures about configuration design [5,6], kinematic analysis [7][8][9] and static analysis [10] of deployable structures with SLEs are published in recent years.…”

Section: Introductionmentioning

confidence: 99%

A New Flexible Multibody Dynamics Analysis Methodology of Deployable Structures with Scissor-Like Elements

Qian

Wang

Zhi

et al. 2019

Chin. J. Mech. Eng.

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There are vast constraint equations in conventional dynamics analysis of deployable structures, which lead to differential-algebraic equations (DAEs) solved hard. To reduce the difficulty of solving and the amount of equations, a new flexible multibody dynamics analysis methodology of deployable structures with scissor-like elements (SLEs) is presented. Firstly, a precise model of a flexible bar of SLE is established by the higher order shear deformable beam element based on the absolute nodal coordinate formulation (ANCF), and the master/slave freedom method is used to obtain the dynamics equations of SLEs without constraint equations. Secondly, according to features of deployable structures, the specification matrix method (SMM) is proposed to eliminate the constraint equations among SLEs in the frame of ANCF. With this method, the inner and the boundary nodal coordinates of element characteristic matrices can be separated simply and efficiently, especially on condition that there are vast nodal coordinates. So the element characteristic matrices can be added end to end circularly. Thus, the dynamic model of deployable structure reduces dimension and can be assembled without any constraint equation. Next, a new iteration procedure for the generalized-α algorithm is presented to solve the ordinary differential equations (ODEs) of deployable structure. Finally, the proposed methodology is used to analyze the flexible multi-body dynamics of a planar linear array deployable structure based on three scissor-like elements. The simulation results show that flexibility has a significant influence on the deployment motion of the deployable structure. The proposed methodology indeed reduce the difficulty of solving and the amount of equations by eliminating redundant degrees of freedom and the constraint equations in scissor-like elements and among scissor-like elements.

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Section: Introductionmentioning

confidence: 99%

A New Flexible Multibody Dynamics Analysis Methodology of Deployable Structures with Scissor-Like Elements

Qian

Wang

Zhi

et al. 2019

Chin. J. Mech. Eng.

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“…Nonlinear approaches have been proposed as an alternative route for traditional linear isolation systems. Stiffness nonlinearities (Dong et al, 2017; Li et al, 2013; Shi and Zhu, 2015; Sun and Jing, 2016; Xu et al, 2013; Zhang and Zhao, 2016) and damping nonlinearities (Lang et al, 2009; Mofidian and Bardaweel, 2017; Tehrani and Elliott, 2014) have been explored as techniques to improve isolation characteristics of vibration isolation systems. For instance, Bian and Jing (2018) proposed a passive bioinspired, limb-like nonlinear vibration damper.…”

Section: Introductionmentioning

confidence: 99%

Theoretical study and experimental identification of elastic-magnetic vibration isolation system

Mofidian

Bardaweel

2018

Journal of Intelligent Material Systems and Structures

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A vibration isolation system featuring a combination of elastic and magnetic springs and viscous and magnetic damping is presented. A mechanical flat spring houses a permanent magnet that is levitated between two stationary magnets. A prototype of the isolator is manufactured. COMSOL models are developed for the mechanical and magnetic springs. Measured data and model simulations show that the magnets arrangement results in nonlinear magnetic spring with negative linear stiffness. The mechanical spring exhibits linear behavior with positive stiffness. Experiments are performed and a nonlinear dynamic model is developed. The fabricated isolator is characterized at low and high acceleration levels. Results from model show good agreement with measured data at lower acceleration levels. Slight mismatch between model and experiment is evident at higher accelerations. This mismatch is due to the existence of lateral vibrations that are not accounted for in the unidirectional model. Results show that the combination of mechanical flat spring and magnetic spring reduces the resonant frequency of the isolator. In addition, results confirm the ability of the isolator to attenuate vibrations higher than 11.91 Hz when excited at 2.4525 [m s−2].

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“…16 Nonlinear systems are reported to be beneficial for vibration isolation over wider frequency range and could perform very well at low frequency. [17][18][19][20][21] Generally, most of the exiting quasi-zero-stiffness (QZS) isolators were designed for attenuating the transmission of vertical translational excitations. In recent years, several types of 6-DOF nonlinear isolators have been proposed and demonstrated to have very good vibration isolation performance.…”

Section: Introductionmentioning

confidence: 99%

A six degree of freedom passive vibration isolator with quasi-zero-stiffness-based supporting

Tuo

Deng

et al. 2018

Journal of Low Frequency Noise, Vibration and Active Control

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A six degree of freedom nonlinear passive vibration isolator is proposed based on Stewart platform configuration with the quasi-zero-stiffness structure as its legs. Due to the high static stiffness and low dynamic stiffness of each leg, the proposed six degree of freedom system can realize very good vibration isolation performance in all six directions while keeping high static load-bearing capacity in a pure passive manner. The mechanic model of the proposed six degree of freedom isolator and the dynamic equation of the isolator are established successively. Theoretical analysis on cross coupling stiffness reveals that the system can demonstrate quasi-zero-stiffness property in all six degree of freedom. Moreover, an analysis on stability shows that the condition of structural parameters for the isolator to realize quasizero-stiffness is also the stability boundary of the system. A series of numerical simulations on displacement transmissibilities in coupled degree of freedoms, the coupling effects of transmissibility, and a dynamic response in random excitation are carried out to show the effectiveness of the proposed six degree of freedom isolator, as well as the influence of structural parameters on vibration attenuation performance. Considering its high performance in a simple passive manner, it can be foreseen that the proposed six degree of freedom isolator will be applied in various engineering practices with multi-degree of freedom vibration isolation.

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Analysis on nonlinear stiffness and vibration isolation performance of scissor-like structure with full types

Cited by 42 publications

References 27 publications

A New Flexible Multibody Dynamics Analysis Methodology of Deployable Structures with Scissor-Like Elements

A New Flexible Multibody Dynamics Analysis Methodology of Deployable Structures with Scissor-Like Elements

Theoretical study and experimental identification of elastic-magnetic vibration isolation system

A six degree of freedom passive vibration isolator with quasi-zero-stiffness-based supporting

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