Theoretical design parameters for a quasi-zero stiffness magnetic spring for vibration isolation

Robertson, William S. P.; Kidner, M.; Cazzolato, B.; Zander, Anthony C.

doi:10.1016/j.jsv.2009.04.015

Cited by 217 publications

(99 citation statements)

References 19 publications

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“…Zhou and Liu has proposed an HSLDS using an electromagnetic negative spring element, that allows system parameters to be tuned [12]. Robertson et al [13] present theoretical analysis for a fully magnetic HSLDS device, where magnetism also supports the payload mass. Many HSLDS devices are included in a review of passive vibration isolation methods by Ibrahim [14].…”

Section: Prior Work On Hslds Isolation Mountsmentioning

confidence: 99%

Relieving the effect of static load errors in nonlinear vibration isolation mounts through stiffness asymmetries

Shaw

Neild²,

Friswell

2015

Journal of Sound and Vibration

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High Static Low Dynamic Stiffness (HSLDS) mounts consist of nonlinear springs that support a high static load with low static displacement, whilst maintaining locally low stiffness near equilibrium, to give a low natural frequency and consequently good isolation properties. Recent analysis has investigated such devices when the force-displacement relationship is an odd function about the equilibrium position, and analysed the consequences of different shapes of these functions. However many devices that have the HSLDS characteristic do not meet the assumptions of this analysis, in that the force-displacement relationship is generally asymmetric about equilibrium. Furthermore, even devices that do meet this assumption may be subject to significant adjustment error, particularly in the context of air vehicles where manoeuvres such as banked turns can cause an apparent variation in gravitational acceleration, and a consequent variation in the weight of the payload. This change in static load moves the payload away from its intended region of low stiffness. The current paper provides analysis of these situations, and shows that the performance of a mount with a symmetric stiffness-displacement relationship is highly sensitive to errors in the static loading. It is then shown that a mount with an asymmetric stiffnessdisplacement function can offer significant performance advantages when there are adjustment errors in the loading of the mount.

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Section: Prior Work On Hslds Isolation Mountsmentioning

confidence: 99%

Relieving the effect of static load errors in nonlinear vibration isolation mounts through stiffness asymmetries

Shaw

Neild²,

Friswell

2015

Journal of Sound and Vibration

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“…The analytical surface charge model is an elegant way to evaluate electromechanical properties of magnet structures [2,3,[5][6][7][8].…”

Section: Abstraction Of the Analytical Modelmentioning

confidence: 99%

“…As opposed from the more established technologies such as hydraulic, mechanical or pneumatic systems, fully electromagnetic gravity compensators represent a relatively new technology in vibration isolation. Despite their reduced force density, technological immaturity and design complexity they offer the advantages of a low stiffness, a high isolation bandwidth and low static energy consumption [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

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Study of Magnetic Gravity Compensator Topologies Using an Abstraction in the Analytical Interaction Equations

Janssen¹,

Paulides²,

Lomonova³

2012

PIER

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Abstract-This paper identifies an abstraction that is found in the equations that describe the 3D interaction between cuboidal permanent magnets and applies this to the magnetic design of a gravity compensator. It shows how the force between magnets and its position-sensitivity, important design parameters for magnetically levitated 6-DoF gravity compensators, may be translated into the magnetic domain and verifies this with 3D analytical models. With this information, a number of basic gravity compensator topologies is derived. These topologies are subsequently investigated in more detail, with specific focus on combining a high force with low position sensitivity.

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“…However, the system structure will be very complex if air bearings are used in some measuring or machining equipment requiring a high vacuum condition [3], such as extreme ultraviolet lithography. In contrast, owing to the advantages of no mechanical contact, vacuum compatibility (no need of liquid or gas auxiliary equipment) and low natural frequency, passive magnetic levitation vibration isolators have drew increased interest in recent years [4][5][6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Research on typical topologies of a tubular horizontal-gap passive magnetic levitation vibration isolator

et al. 2017

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Abstract. Magnetic levitation vibration isolators have attracted more and more attention in the field of high-precision measuring and machining equipment. In this paper, we describe a tubular horizontal-gap passive magnetic levitation vibration isolator. Four typical topologies of the tubular horizontal-gap passive magnetic levitation vibration isolator are proposed. The analytical expression of magnetic force is derived. The relationship between levitation force, force density, force ripple and major structural parameters are analysed by finite element method, which is conductive to the design and optimization of the tubular horizontal-gap passive magnetic levitation vibration isolator. The force characteristics of different topologies of the tubular horizontal-gap passive magnetic levitation vibration isolator are compared and evaluated from the aspect of force density, force ripple and manufacturability. In comparison with conventional passive magnetic levitation vibration isolators, the proposed tubular horizontal-gap passive magnetic levitation vibration isolator shows advantage in higher force density.

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Theoretical design parameters for a quasi-zero stiffness magnetic spring for vibration isolation

Cited by 217 publications

References 19 publications

Relieving the effect of static load errors in nonlinear vibration isolation mounts through stiffness asymmetries

Relieving the effect of static load errors in nonlinear vibration isolation mounts through stiffness asymmetries

Study of Magnetic Gravity Compensator Topologies Using an Abstraction in the Analytical Interaction Equations

Research on typical topologies of a tubular horizontal-gap passive magnetic levitation vibration isolator

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