Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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A Study on the Large Deflection of Flat Spring Subjected to Follower Load by a Rotating Pin

회전 핀의 종동 하중에 따른 박판 스프링의 대변형에 대한 연구

  • 정일섭 (영남대학교 기계공학부)
  • Published : 2004.09.01
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Abstract

The mechanical spring is one of widely used machine elements. Among various kinds, flat-type spring loaded by a rotating pin was studied. A flat spring was simplified to a cantilever beam, and numerical analysis was attempted. Since the loading pin rotates about a separate axis from the fixed spring or vice versa, the location, direction, and magnitude of the contact force including normal contact and friction loads vary accordingly. Meanwhile, the spring is deformed substantially as the relative motion progresses. Therefore, this problem needs to be formulated taking the follower loading characteristics and geometrical non-linearity into account. Derived nonlinear differential equation was solved to yield the spring deflection, contact force and the torque to rotate the pin, and the result was compared with a finite element solution. Also, the influences of principal design parameters were studied. The proposed methodology is expected to be useful for the design of pin-loaded flat spring and the prevention of mechanical failures in the form of yielding or fatigue failure of spring or severe wear of the components.

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References

  1. Parker, S.P., 1993, McGraw-Hill Encyclopedia of Engineering, 2nd Ed., McGraw-Hill, Inc., New York, pp. 1124-1126
  2. Carlson, H., 1978, Spring Designer's Handbook, Marcel Dekker, Inc., New York, pp. 177-242
  3. Herrmann, G, 1967, 'Stability of Equilibrium of Elastic Systems Subjected to Non-conservative Forces, ' Applied Mechanics Review, Vol. 20, pp. 103-108
  4. Sundararajan, C, 1975, 'The Vibration and Stability of Elastic Systems Subjected to Follower Forces,' Shock and Vibration Digest, Vol. 7, pp. 89-105 https://doi.org/10.1177/058310247500700608
  5. Bolotin, V.V, 1999, 'Dynamic Instabilities in Mechanics of Structures,' Applied Mechanics Review, Vol. 52, pp. R1-R9 https://doi.org/10.1115/1.3098924
  6. Langthjem, M.A. and Sugiyama, Y, 2000, 'Dynamic Stability of Columns Subjected to Follower Loads: A Survey,' J. of Sound and Vibration, Vol. 238, pp. 809-851 https://doi.org/10.1006/jsvi.2000.3137
  7. Zuo, Q.H. and Hjelmstad, K.D., 1997, 'Conditions for Bifurcation of a Cantilever Beam Subjected to Generalized Follower Loads: Geometrically Exact Approach,' J. of Sound and Vibration, Vol. 203, pp. 899-902 https://doi.org/10.1006/jsvi.1996.0882
  8. Petrolito, J. and Legge, K.A., 1997, 'Benchmarks for Frames Subject to Follower Loads,' Computers & Structures, Vol. 63, pp. 379-384 https://doi.org/10.1016/S0045-7949(96)00374-4
  9. Ryu, B.J., Kwon, K.W. and Myung, T.S., 1994, 'Spring Position and Stiffness Effect on the Dynamic Stability of Elastically Restrained Cantilevered Beams under a Follower Force,' Transactions of the KSME, Vol. 18, No. 6 pp. 1496-1502
  10. Yoon, H.I., Lim, S.H. and Yu, J.S., 1997, 'Stability of Beck's Column with a Rotary Spring Restraining Its Free End,' Transactions of the KSME(A), Vol. 21, No. 9 pp. 1385-1391
  11. KS D 3701, 2002, 'Spring Steels,' Korean Industrial Standards