Large deflections of elastic composite circular springs under uniaxial tension

Tse, P.C.; Lai, T.C.; So, C.K.; Cheng, Chun

doi:10.1016/s0020-7462(99)00015-3

Cited by 15 publications

(14 citation statements)

References 16 publications

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“…However, the spring stiffnesses were more sensitive to the change in spring radius than the thickness. As an extension to the studies conducted previously by Tse et al [8,9], Wong et al [12] demonstrated that the reduction in spring stiffness at elevated temperatures could be prevented by the embedment of nickel-titanium alloy wire as a compound.…”

Section: Introductionmentioning

confidence: 71%

“…Tse and Lung [9] carried out finite element analysis and theoretical study on the large deflections of composite circular springs and validated their results by experiments under uniaxial tension. The authors found that the spring stiffness increased with deflection and hard spring behavior was showed throughout the whole range of applied loads.…”

Section: Introductionmentioning

confidence: 95%

“…The "U" shape of the ELS leaves possess the ability to act as spring and have been used in other vibration isolation devices. The behavior of "U" shaped leaves has been the subject of few studies [6][7][8][9][10][11]. Kishiki et al [6] conducted an experimental evaluation of cyclic deformation capacity of U-shaped steel dampers for baseisolated structures.…”

Section: Introductionmentioning

confidence: 99%

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Stiffness and energy dissipation of Oval Leaf Spring mounts under unidirectional line loading

Benyoucef

Leblouba

Zerzour

2017

Mechanics & Industry

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The Oval Leaf Springs (OLS), a class of passive isolation devices, have been successfully used as antishock and anti-vibration mounts to protect equipment and machinery. Available literature is insufficient to understand the behavior of OLS mounts. To estimate the spring stiffness, we conducted theoretical and finite element analyses (FEA) on a large number of springs having different geometrical and mechanical properties. Based on the principle of minimum potential energy, this paper presents theoretical expressions, which describe the linear static stiffness of OLS mounts subjected to line loading in the vertical (compression) and lateral (bending-shear) in-plane directions. Comparison studies showed a good agreement between numerical and analytical models. We observed a negligible effect of transverse shearing on the spring stiffness. In addition, it was demonstrated that the stiffness is more sensitive to the radius compared to the other geometric properties of the spring. Nonlinear FEA considering the hyper-viscoelastic behavior of the damping compound showed that the OLS mounts have higher energy dissipation capabilities in the lateral direction, which increase at low frequency and large amplitude loadings.

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Section: Introductionmentioning

confidence: 71%

Section: Introductionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

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Stiffness and energy dissipation of Oval Leaf Spring mounts under unidirectional line loading

Benyoucef

Leblouba

Zerzour

2017

Mechanics & Industry

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“…For composite circular spring, static characteristics under the uniaxial compression was studied by Tse [2] and a softening performance was found in its compression region, while it performed like a hardening spring under the uniaxial tension [3]. Furthermore, a pair of circular springs in the push-pull configuration was proposed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Identification of the Geometrically Nonlinear Isolator with Elastic Rings by Using Hilbert Transform

Wang

Zheng

2017

Nonlinear Dynamics, Volume 1

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The geometrically nonlinear isolator formed by a pair of elastic circular springs in the push-pull configuration has the symmetrical hardening stiffness under static compression and tension. Thus, it could be a potential solution to satisfy the dual isolation requirements of steady-state vibrations and transient shocks in the engineering application. The nonlinear transmissibility of this isolator under large-amplitude sinusoidal excitations has been investigated theoretically and experimentally in our previous research. In this paper, the Hilbert transform is applied to identify the geometrically nonlinear isolator with measured free vibration responses in the time domain. The measured responses are acquired by a laser vibrometer with large initial deformations. Since all the involved instantaneous modal parameters contain fast oscillations around their average values, the empirical mode decomposition is employed to smooth the identified results of the instantaneous frequency and damping coefficient. It is found that the backbone curve obtained experimentally conforms well to the previously measured frequency responses. The identified nonlinear stiffness and damping force characteristics of this geometrically nonlinear isolator have good agreements with the results from the theoretically calculation and the frequency-domain test in our previous research. Therefore, this research provides an efficient approach to analyze the dynamic characteristics of the geometrically nonlinear isolator with push-pull configuration rings and is also beneficial to design the parameters of this isolator.

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“…However he ignored the strain due to varied curvature. Tse [8] used elliptic integrals together with inextensional assumption to derive large deflection of orthotropic laminated circular springs. He [9] extended more in experimental studies of large deflections of circular composite spring with a flat contact surface.…”

Section: Introductionmentioning

confidence: 99%

Theory of Three dimensional Helical Curved Beams with Variable Curvatures

Lin¹,

Hung²

2011

JMMP

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The analytical solution are derived for a general 3-D helical curved beam. The equilibrium equations are listed as twelve ordinary differential equations. All force, moment, rotation and displacement components form a set of differential equations of the same pattern. Once the curvature and torsion are specified, the analytical solutions can be derived, if the pattern of differential equations can be solved. Helical curved is found to be solvable. The analytical solutions of 2-D curves of circular, elliptical, cycloid, cantenry, parabolic curves are demonstrated here. The analytical solution of 3-D helical curve with variable curvature is also demonstrated.

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Large deflections of elastic composite circular springs under uniaxial tension

Cited by 15 publications

References 16 publications

Stiffness and energy dissipation of Oval Leaf Spring mounts under unidirectional line loading

Stiffness and energy dissipation of Oval Leaf Spring mounts under unidirectional line loading

Free Vibration Identification of the Geometrically Nonlinear Isolator with Elastic Rings by Using Hilbert Transform

Theory of Three dimensional Helical Curved Beams with Variable Curvatures

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