A finite element for dynamic analysis of a cylindrical isotropic helical spring

Abstract

This paper presents a finite element for the dynamic analysis of the cylindrical isotropic helical spring. The hybrid-mixed formulation is used to compute the stiffness matrix. A simple approach is used to calculate the mass matrix. These matrices are used for solving the dynamic equation of the spring to calculate natural frequencies and the dynamic response of a simple or an assembled spring for different types of cross-section.