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.

Issue Section:
Research Papers
Topics:
Dampers, Springs, Displacement, Equations of motion, Errors, Modeling, Simulation results, Stiffness
1.
Berry, W. R., 1961, Spring Design, The William Morris press Ltd, Great Britain.
2.
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, and
Freudenstein
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,
1986
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The Development of a Predictive Model for the Optimization of High-Speed Cam-Follower Systems with Coulomb Damping Internal Friction and Elastic and Fluid Elements
,”
ASME JOURNAL OF MECHANICAL DESIGN
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108
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506
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3.
Jingyuan Ho and Wensyang Hsu, 1994, “Dynamic Equations for the Helical Spring with a Cap Damper and Static Experimental Verifications,” NCTU, R.O.C.
4.
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5.
Lin., Y., and Pisano, A. P., 1990, “Three-Dimensional Dynamic Simulation of Helical Compression Springs,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 112.
6.
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7.
Pisano
A. P.
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F.
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An Experimental and Analytical Investigation of the Dynamic Response of a High-Speed Cam Follower System: Part 2
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ASME JOURNAL OF MECHANISMS, TRANSMISSIONS, AND AUTOMATION IN DESIGN
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4
, December
1983
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8.
Paranjpe, R. S., 1990, “Dynamic Analysis of a Valve Spring with a Coulomb-Friction Damper,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 112.
9.
Rooney
G. T.
, and
Deravi
P.
,
1982
, “
Coulomb Friction in Mechanism Sliding Joints
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10.
Sefler
J. F.
, and
Pisano
A. P.
,
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The Design, Experimentation, and Simulation of a Novel Coulomb Friction Device for Automotive Valve Spring Damping
,”
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11.
Wahl, A. M., 1963, Mechanical Springs, Penton Publishing Co., Cleveland, Ohio.
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