General equations of a helical spring with a cup damper and static verification

Ming Hsun Wu, Jing Yuan Ho, Wen-Syang Hsu

Research output: Contribution to journalArticle

2 Scopus citations


In this study, we derive the general equations of motion for the helical spring with a cup damper by considering the damper’s dilation and varying pitch angle of the helical spring. These dynamic equations are simplified to correlate with previous models. The static force-displacement relation is also derived. The extra stiffness due to the damper’s dilation considered in the force-displacement relation is the first such modeling in this area. In addition, a method is presented to predict the compressing spring’s coil close length and is then verified by experimental data. Moreover, the simulation results of the static force-displacement relation are found to correspond to the experimental data. The maximum error is around 0.6 percent.

Original languageEnglish
Pages (from-to)319-326
Number of pages8
JournalJournal of Mechanical Design, Transactions of the ASME
Issue number2
StatePublished - 1 Jan 1997

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