Numerical Buckling Analysis of Cylindrical Helical Coil Springs in a Dynamic Manner

Abstract

The free vibration equations of cylindrical isotropic helical springs loaded axially, developed by the author are solved numerically based on the transfer matrix method to perform buckling analysis in a dynamic manner. The axial and shear deformation effects together with the rotatory inertia effects are all considered based on the first order shear deformation theory. For the determination of the vertical tip deflection of helical springs with large pitch angles, closed-form equation obtained by the author based on Castigliano’s first theorem is used to take into account for the whole effect of the stress resultants such as axial and shearing forces, bending and torsional moments on the tip deflection. A good agreement is observed with related benchmark studies

Keywords

• Linear analysis, helical spring, numeric, transfer matrix, buckling

References

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