DOI QR코드

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Evaluation of torsional natural frequencies for non-tubular bonded joints

  • Pugno, Nicola (Department of Structural and Geotechnical Engineering, Politecnico di Torino) ;
  • Ruotolo, Romualdo (Department of Aeronautical and Space Engineering, Politecnico di Torino)
  • 발행 : 2002.01.25

초록

During the last several years, research activity on non-tubular bonded joints has concentrated on the effects of normal stress, bending moments and shear. Nevertheless, in certain situations, the structure may be subjected to twisting moments, so that the evaluation of its dynamic behaviour to torsional vibrations becomes of great importance even though evaluations of such loading conditions is entirely lacking in the literature. The aim of this article is to show that torsional natural frequencies of the non-tubular joint can be evaluated by determining the roots of a determinantal equation, derived by taking advantage of some analytical results obtained in a previous paper dealing with the analysis of the state of stress in the adhesive. Numerical results related to clamped-free and clamped-clamped joints complete the article.

키워드

참고문헌

  1. Adams, R.D., and Peppiatt, N.A. (1977), "Stress analysis of adhesive bonded tubular lap joints", J. Adhesion, 9, 1-18. https://doi.org/10.1080/00218467708075095
  2. Alwar, R.S., and Nagaraja, Y.R. (1976), "Viscoelastic analysis of an adhesive tubular joint", J. Adhesion, 8, 79-92. https://doi.org/10.1080/00218467608075072
  3. Carpinteri, A. (1997), Structural Mechanics-A Unified Approach, E & FN Spon.
  4. Chen, D., and Cheng, S. (1992a), "Torsional stresses in tubular lap joints with tapered adherends", J. Eng. Mech., ASCE, 118, 1962-1973. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:9(1962)
  5. Chen, D., and Cheng, S. (1992b), "Torsional stress in tubular lap joints", Int. J. Solids and Structures, 29, 845-853. https://doi.org/10.1016/0020-7683(92)90020-T
  6. Choi, J.H., and Lee, D.G. (1944), "The torque transmission capabilities of the adhesively-bonded tubular single lap joint and the double lap joint", J. Adhesion, 44, 197-212. https://doi.org/10.1080/00218469408027077
  7. Chon, C.T. (1982), "Analysis of tubular lap joint in torsion", J. Composite Materials, 16, 268-284. https://doi.org/10.1177/002199838201600402
  8. Gent, A.N., and Yeoh, O.H. (1982), "Failure loads for model adhesive joints subjected to tension, compression or torsion", J. Materials Science, 17, 1713-1722. https://doi.org/10.1007/BF00540799
  9. Goland, M., and Reissner, E. (1944), "The stresses in cemented joints", J. Applied Mech., 11, 17-27.
  10. Graves, S.R., and Adams, D.F. (1981), "Analysis of a bonded joint in a composite tube subjected to torsion", J. Composite Materials, 15, 211-224. https://doi.org/10.1177/002199838101500302
  11. Hipol, P.J. (1984), "Analysis and optimization of a tubular lap joint subjected to torsion", J. Composite Materials, 18, 298-311. https://doi.org/10.1177/002199838401800401
  12. Kim, K.S., Kim, W.T., Lee, D.G., and Jun, E.J. (1992), "Optimal tubular adhesive-bonded lap joint of the carbon-fiber epoxy composite shaft", Composite Structures, 21, 163-176. https://doi.org/10.1016/0263-8223(92)90016-6
  13. Ko, T.C., Lin, C.C., and Chu, R.C. (1995), "Vibration of bonded laminated lap-joint plates using adhesive interface elements", J. Sound and Vibration, 4, 567-583.
  14. Lee, S.J., and Lee, D.G. (1992), "Development of a failure model for the adhesively bonded tubular single lap joint", J. Adhesion, 40, 1-14. https://doi.org/10.1080/00218469208030467
  15. Lee, S.J., and Lee, D.G. (1995), "An iterative solution for the torque transmission capability of adhesivelybonded tubular single lap joints with nonlinear shear properties", J. Adhesion, 53, 217-227. https://doi.org/10.1080/00218469508009940
  16. Lubkin, J.L., and Reissner, E. (1956), "Stress distribution and design data for adhesive lap joints between circular tubes", Trans. ASME, 78, 1213-1221.
  17. Medri, G. (1977), "Il calcolo delle tensioni nell'adesivo in giunti tra tubi sollecitati da momento torcente", Ingegneria Meccanica, 7/8, 247-251.
  18. Medri, G. (1988), "Viscoelastic analysis of adhesive bonded lap joints between tubes under torsion", J. of Vibration Acoustics Stress and Reliability in Design-Transactions of the ASME, 110, 384-388. https://doi.org/10.1115/1.3269530
  19. Nayebhashemi, H., Rossettos, J.N., and Melo, A.P. (1997), "Multiaxial fatigue life evaluation of tubular adhesively bonded joints", Int. J. Adhesion and Adhesives, 17, 55-63. https://doi.org/10.1016/S0143-7496(96)00023-1
  20. Pugno, N. (1998), "Non-tubular bonded joint under torsion", Ph.D. Thesis, Dept. of Structural Engineering, Politecnico di Torino, Torino, Italy.
  21. Pugno, N. (1999), "Optimizing a non-tubular adhesive bonded joint for uniform torsional strength", Int. J. Materials & Product Technology, 14, 476-487. https://doi.org/10.1504/IJMPT.1999.036285
  22. Pugno, N., and Surace G. (2000a), "Tubular bonded joint under torsion: analysis and optimization for uniform torsional strength", J. Strain Analysis for Engineering Design, 35(6).
  23. Pugno, N., and Surace, G. (2000b), "Non tubular bonded joint under torsion: Theory and numerical validation", Structural Engineering and Mechanics, 10(2), 125-138. https://doi.org/10.12989/sem.2000.10.2.125
  24. Pugno N., and Carpinteri A. (2001), "Strength, stability and size effects in the brittle behaviour of bonded joints under torsion: theory and experimental assessment", To be published on Fatigue & Fracture of Engineering Materials and Structures.
  25. Rao, M.D., and Zhou, H. (1994), "Vibration and damping of a bonded tubular lap joint", J. Sound and Vibration, 178, 577-590. https://doi.org/10.1006/jsvi.1994.1506
  26. Reedy, E.D., and Guess, T.R. (1993), "Composite-to-metal tubular lap joints strength and fatigue resistance", Int. J. Fracture, 63, 351-367. https://doi.org/10.1007/BF00013043
  27. Treloar, L.R.G. (1975), The Physics of Rubber Elasticity, Clarendon Press Oxford, 3rd Edition.
  28. Zhou, H.M., and Rao, M.D. (1993), "Viscoelastic analysis of bonded tubular joints under torsion", Int. J. Solids and Structures, 30, 2199-2211. https://doi.org/10.1016/0020-7683(93)90083-J

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