Finite element method for the stress analysis of isotropic cylindrical helical spring

Dammak, Fakhreddine; Taktak, Mohamed; Abid, Souhir; Abderrazek, Dhieb; Haddar, Mohamed

doi:10.1016/j.euromechsol.2005.07.002

Cited by 34 publications

(25 citation statements)

References 28 publications

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“…The spring is clamped at one end and is loaded by axial force F=100 N at another end. Table 1 shows the convergence is achieved for four significant digits for less than K=12 and the result is in excellent agreement with that of Fakhreddine et al [6].…”

Section: Numerical Examples and Discussionsupporting

confidence: 89%

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The application of the pseudospectral method to the analysis of helical springs of arbitrary shape

Lee

2009

J Mech Sci Technol

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The pseudospectral method is applied to the static analysis of helical springs of arbitrary shape. The displacements and the rotations are approximated by series expansions of Chebyshev polynomials. The entire domain is considered as a single element and the governing equations are collocated to yield the system of algebraic equations. The boundary conditions are considered as the constraints, and the set of equations is condensed so that the number of degrees of freedom of the problem matches the total number of the expansion coefficients. Displacements and rotations are computed for noncylindrical helical springs as well as cylindrical helical springs, and parameters that affect the convergence of the solution are discussed.

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Section: Numerical Examples and Discussionsupporting

confidence: 89%

“…Choi and Lim formulated two-node and three-node general curved beam elements on the basis of assumed strain fields on Timoshenko's beam theory [4]. Taktak et al [5] and Fakhreddine et al [6] introduced two-node helical spring elements based on the mixed-hybrid formulations.…”

Section: Introductionmentioning

confidence: 99%

The application of the pseudospectral method to the analysis of helical springs of arbitrary shape

Lee

2009

J Mech Sci Technol

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“…The studies on the free vibration of cylindrical helical springs have been carried by many scholars [1][2][3][4]; however the shapes of wire cross sections in those researches are mostly circular. The Saint-Venant torsion problem of nonhomogeneous bars with solid and hollow cross sections was treated by Ecsedi [5].…”

Section: Introductionmentioning

confidence: 99%

Parametric Study on the Influence of Warping Deformation upon Natural Frequencies of Die Springs

Hao

Guan

2016

Shock and Vibration

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The free vibrational characteristics of die springs are examined by Riccati transfer matrix method in this study. The warping deformation of spring’s cross section, as a new design factor, is incorporated into the differential equation of motion. Numerical simulations show that the warping deformation is a significant role of the behavior of natural frequencies of die springs and should be considered carefully. Approximately 40% of the errors may occur if warping is neglected. The change laws of warping effect with the parameter variations of springs are also explored, including the height-to-width ratio of the cross section, the cylinder diameter, the helix pitch angle, and the number of coils. The warping effect exhibits the most remarkable changes with the variation in the height-to-width ratio of the cross section. However, this effect is not fairly sensitive to the changes in other parameters, and it is particularly significant when the cross section is relatively narrow regardless of the changes in other parameters. This study evidently answers the key scientific question: “under what working condition should the warping effect be considered or ignored?” The analysis results can be used to guide spring designers in engineering.

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“…[3,4] and literature cited therein. Yet the compound helical structure of the Loretto staircase and related helical coils appears to have escaped attention in publications so far.…”

Section: Elastic Behavior Of a Helical Coilmentioning

confidence: 99%

“…1(b). In the following we explore the elastic behavior of this structure using continuum elasticity theory in order to identify the reason for its rigidity [2][3][4] . Since continuum elasticity theory applies from nanometer-sized fullerenes and nanotubes [5][6][7] to the macro-scale, we expect our approach to be useful to explore the rigidity of helical structures on the microand nanometer scale.…”

Section: Introductionmentioning

confidence: 99%

Origin of Unusually High Rigidity in Selected Helical Coil Structures

Tománek¹,

Every

2017

Phys. Rev. Applied

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Using continuum elasticity theory, we describe the elastic behavior of helical coils with an asymmetric double-helix structure and identify conditions, under which they become very rigid. Theoretical insight gained for macro-structures including a stretched telephone cord and an unsupported helical staircase is universal and of interest for the elastic behavior of helical structures on the microand nanometer scale.PACS numbers: 62.20.de, 62.25.Jk

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Finite element method for the stress analysis of isotropic cylindrical helical spring

Cited by 34 publications

References 28 publications

The application of the pseudospectral method to the analysis of helical springs of arbitrary shape

The application of the pseudospectral method to the analysis of helical springs of arbitrary shape

Parametric Study on the Influence of Warping Deformation upon Natural Frequencies of Die Springs

Origin of Unusually High Rigidity in Selected Helical Coil Structures

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