RT Journal Article T1 The general dispersion relation for the vibration modes of helical springs A1 Prieto Fernández, Leopoldo A1 Quesada González, Alejandro A1 Gómez Amador, Ana María A1 Díaz López, Vicente AB A system of mathematical equations was developed for the calculation of the natural frequencies of helical springs, its predictions being compared with finite element simulation with ANSYS®. Authors derive the general equations governing the helical spring vibration relative to the Frenet trihedral representing the normal, binormal and tangent unit vectors to the spring medium line. The dispersion relation ω = f (k) has been obtained to model a wave traveling along the axis of the wire. PB MDPI SN 2227-7390 YR 2022 FD 2022-08-01 LK https://hdl.handle.net/10016/36802 UL https://hdl.handle.net/10016/36802 LA eng NO This article belongs to the Special Issue Applied Mathematics to Mechanisms and Machines. DS e-Archivo RD 30 jun. 2024