Structural Engineering and Mechanics

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Dynamic response of elasto-plastic planar arches

  • Lee, S.L. (Department of Civil Engineering, National University of Singapore) ;
  • Swaddiwudhipong, S. (Department of Civil Engineering, National University of Singapore) ;
  • Alwis, W.A.M. (Department of Civil Engineering, National University of Singapore)
  • Published : 1996.01.25
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Abstract

The behaviour of elasto-plastic planar arches subjected to dynamic loads in presented. The governing equations are formulated through the dynamic equations and compatibility conditions. The latter is established by applying the generalized conjugate segment analogy. Bending moments at the nodes and axial forces in the members are considered as primary variables in the elastic regime. They are supplemented by the rotations at the nodes and dislocations in the elements when plastic hinges occur. Newmark-${\beta}$ method is adopted in the time marching process. The interaction diagram of each element is treated as the yield surface for the element and the associated flow rule is enforced as plastic flow occurs. The method provides good prediction of dynamic response of elasto-plastic arches while requiring small core storage and short computer time.

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References

  1. ASCE Committee on Dynamics Effects of the Structural Division (1985), "Design of structures to resist nuclear weapons effects". ASCE Manual and Reports on Engineering Practive 42.
  2. Berg, G.V. and DeDeppo, D.A. (1960), "Dynamic analysis of elasto-plastic structures", J. Eng. Mech., ASCE, 86, 35-58.
  3. Bleich, H.H. and Salavadori, M.G. (1955), "Impulsive motion of elasto-plastic beam", Transaction ASCE, 120, 499.
  4. Heidebrecht, A.C., Fleming, J.F. and Lee, S.L. (1963), "Dynamic analysis of elastic multi-degree systems, J. Eng. Mech., ASCE, 89, 190-215.
  5. Hjelmstad, K.D. (1986), "Conjugate structure method", J. Struct. Eng., ASCE, 112, 1413-1428. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:6(1413)
  6. Lee, S.L. (1958), "The conjugate frame method and its application in the elastic and plastic theories of structures", J. Franklin Inst., 266, 207-222. https://doi.org/10.1016/0016-0032(58)90266-7
  7. Lee, S.L., Alwis, W.A.M., Swaddiwudhipong, S. and Mairantz, B. (1988a), "Elastoplastic dynamic analysis of plane frames and deep arches", Int. J. Comp. Mech., 3, 39-48. https://doi.org/10.1007/BF00280750
  8. Lee, S.L., Alwis, W.A.M., Swaddiwudhipong, S. and Mairantz, B. (1988b), "Computational aspect of dynamic analysis of elastoplastic arches", Int. Series of Num. Math., 86, 285-294. https://doi.org/10.1007/978-3-0348-6303-2_23
  9. Newmark, N.M. (1959), "A method of computation for structural dynamics", J. Eng., Mech. ASCE, 85, 67-94.
  10. Sheinman, I. (1979), "Forced vibration of a curved beam with viscous damping", Comp & Struct., 10, 499-503. https://doi.org/10.1016/0045-7949(79)90025-7
  11. Tene, Y., Epstein, M. and Sheinman, I. (1975), "Dynamics of curved beams involving shear deformation", Int. J. Solids Struct, 19, 827-840.