전산구조공학 (Computational Structural Engineering)

한국전산구조공학회 (Computational Structural Engineering Institute of Korea)
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동역학의 새로운 변분이론: 혼합합성이론

A New Variational Principle of Dynamics: Mixed Convolved Action

  • 김진규 (고려대학교 건축사회환경공학부)
  • 발행 : 2013.06.30
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초록

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참고문헌

  1. Hamilton, W.R., 1834. On a general method in dynamics. Philos. Trans. R. Soc. London 124, 247-308. https://doi.org/10.1098/rstl.1834.0017
  2. Hamilton, W.R., 1835. Second essay on a general method in dynamics. Philos. Trans. R. Soc. London 125, 95-144. https://doi.org/10.1098/rstl.1835.0009
  3. Dargush, G.F., Kim, J., 2012. Mixed convolved action. Phys. Rev. E. 85, 066606. https://doi.org/10.1103/PhysRevE.85.066606
  4. Rayleigh, J.W.S., 1877. The Theory of Sound. Dover, New York.
  5. Sivaselvan, M.V., Reinhorn, A.M., 2006. Lagrangian approach to structural collapse simulation. J. Eng. Mech. 132, 795-805. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:8(795)
  6. Apostolakis, G., Dargush, G.F., 2012. Mixed Lagrangian formulation for linear thermoelastic response of structures. J. Eng. Mech. 138, 508-518. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000346
  7. Apostolakis, G., Dargush, G.F., 2013. Mixed variational principles for dynamic response of thermoelastic and poroelastic continua. Int. J. Solids. Struct. 50, 642-650. https://doi.org/10.1016/j.ijsolstr.2012.10.021
  8. Lavan, O., Sivaselvan, M.V., Reinhorn, A.M., Dargush, G.F., 2009. Progressive collapse analysis through strength degradation and fracture in the mixed Lagrangian formulation. Earthquake Eng. Struct. Dyn. 38, 1483-1504. https://doi.org/10.1002/eqe.914
  9. Sivaselvan, M.V., Lavan, O., Dargush, G.F., Kurino, H., Hyodo, Y., Fukuda, R., Sato, K., Apostolakis, G., Reinhorn, A.M., 2009. Numerical collapse simulation of large-scale structural systems using an optimization-based algorithm. Earth Earthquake Eng. Struct. Dyn. 38, 655-677. https://doi.org/10.1002/eqe.895
  10. Gurtin, M.E., 1964a. Variational principles for linear elastodynamics. Arch. Ration. Mech. Anal. 16, 34-50.
  11. Gurtin, M.E., 1964b. Variational principles for linear initial-value problems. Q. Appl. Math. 22, 252-256.
  12. Tonti, E., 1973. On the variational formulation for linear initial value problems. Ann. Mat. Pur. Appl. 95, 331-359. https://doi.org/10.1007/BF02410725