Effect of the system imperfections on the dynamic response of a high-static-low-dynamic stiffness vibration isolator

Huang, Xiuchang; Liu, Xingtian; Jin, Sun; Zhang, Zhiyi; Hu, Hua

doi:10.1007/s11071-013-1199-7

Cited by 76 publications

(20 citation statements)

References 23 publications

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“…Secondly, it naturally leads to consideration of the effect of errors in the static load on the isolation performance of the mount; HSLDS mounts depend on operating about a specified static equilibrium point, and it is shown that they are therefore highly sensitive to errors in the static load. Effects similar to those found in [17,18,19] are found, and studied in detail, and are shown to cause a limitation on the amount by which the dynamic stiffness may be reduced. The form of error considered is that of an additional constant acceleration term expressed as an apparent change in gravity, as may be experienced in an aircraft during a banked turn.…”

Section: Overview Of the Current Worksupporting

confidence: 53%

“…It shows that imperfections in the load can change the nature of the low amplitude response of the mass-spring system from a hardening system to a softening system. Huang et al extend the theoretical conclusions of this work in [18,19], showing that having a very low minimum mount stiffness is not necessarily conducive to the best isolation in the presence of stiffness or loading errors.…”

Section: Prior Work On Hslds Isolation Mountssupporting

confidence: 52%

“…(18) shows that the systems of concern in this work frequently encounter steady-state responses with significant components that are time-constant (in addition to the termẐ c calculated already), and also at double the excitation frequency. These steady state solutions are found analytically with a Normal Forms (NF) method for second order differential equations [22,23,24,25].…”

Section: Overview Of Methodsmentioning

confidence: 87%

See 2 more Smart Citations

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: Overview Of the Current Worksupporting

confidence: 53%

Section: Prior Work On Hslds Isolation Mountssupporting

confidence: 52%

Section: Overview Of Methodsmentioning

confidence: 87%

See 1 more Smart Citation

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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“…In the paper given by Platus [8], the stiffness of a beam subjected to an axial load showed negative characteristic. Similarly, the studies in [9,10] showed that the negative stiffness mechanism can be designed by using compressed Euler bulked beams. An impressive method to realize negative stiffness using cam-roller-spring mechanism can be found in [11,12].…”

Section: Introductionmentioning

confidence: 93%

A New Approach to Achieve Variable Negative Stiffness by Using an Electromagnetic Asymmetric Tooth Structure

Han

Liu

et al. 2018

Shock and Vibration

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Traditional passive nonlinear isolators have been paid much attention in recent literatures due to their excellent performance compared to linear vibration isolators. However, they are incapable of dealing with varying conditions such as changing excitation frequency due to the nonadjustable negative stiffness. To solve this drawback, a new approach to achieve variable negative stiffness is proposed in this paper. The negative stiffness is realized by an electromagnetic asymmetric magnetic tooth structure and can be changed by adjusting the magnitude of the input direct current. Analytical model of the electromagnetic force is built and simulations of magnetic field are conducted to validate the negative stiffness. Then the EATS is applied to vibration isolation and an electromagnetic vibration isolator is designed. Finally, a series of tests are conducted to measure the negative stiffness experimentally and confirm the effect of the EATS in vibration isolation.

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“…This isolator possesses high-static-low-dynamic stiffness so that it can maintain the load-bearing capacity with a small static displacement and achieve a lower natural frequency to enlarge frequency ranges of vibration isolation. But, it should be noted that isolators with QZS are very sensitive facilities and if something occurs to cause deviation of its characteristic parameters (e.g., mismatch of the load and negative stiffness parameters) and/or change in the non-linearity properties of its forces (e.g., destruction of the symmetry), then the isolation performance will change dramatically [19][20][21][22]. This situation is particularly true when the amplitude of excitation is not relatively small, and the isolator is exposed to a sustained excitation.…”

Section: Introductionmentioning

confidence: 99%

Non-Linear Vibration Isolators with Unknown Excitation and Unmodelled Dynamics: Sliding Mode Active Control

Zhang¹,

Hu²,

Liu³

et al. 2019

Applied Sciences

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For a class of single-degree-of-freedom non-linear passive vibration isolators with unknown excitation and unmodelled dynamics, two sliding mode control methods-a conventional one and the other using a super-twisting algorithm-were proposed to complement and improve the performances and the robustness of the passive isolators. The proposed control methods only require the estimation of the loading and measured velocities of the isolators. Numerical simulations for a non-linear isolator with quasi-zero stiffness demonstrated that both methods were effective and easy to implement, and the one using a super-twisting algorithm was more promising from the perspective of practical application.

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Effect of the system imperfections on the dynamic response of a high-static-low-dynamic stiffness vibration isolator

Cited by 76 publications

References 23 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

A New Approach to Achieve Variable Negative Stiffness by Using an Electromagnetic Asymmetric Tooth Structure

Non-Linear Vibration Isolators with Unknown Excitation and Unmodelled Dynamics: Sliding Mode Active Control

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