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Original Articles

Determination of dynamic load distributions applied to Kirchhoff plates based on FEM and numerical Laplace transformation method

Pages 485-506 | Received 26 Mar 2004, Accepted 21 Jan 2005, Published online: 26 Jan 2007

  • Wilbeck, JS, and Rand, JL, 1981. The development of a substitute bird model, ASME Journal of Engineering Power 103 (1981), pp. 725–730.
  • Doyle, JF, 1987. Determining the contact force during the transverse impact of plates, Experimental Mechanics 27 (1) (1987), pp. 68–72.
  • Chang, C, and Sun, CT, 1989. Determining transverse impact force on a composite laminate by signal deconvolution, Experimental Mechanics 29 (4) (1989), pp. 414–419.
  • Inoue, H, Ishida, H, Kishimoto, K, and Shibuya, T, 1991. Measurement of impact load by using an inverse analysis technique, JSME International Journal of Series I 34 (4) (1991), pp. 453–458.
  • Arai, M, Nishida, T, and Adachi, T, 2000. "Identification of dynamic pressure distribution applied to the elastic thin plate". In: Inverse Problems in Engineering Mechanics II. Nagano, Japan. 2000. p. pp. 129–138, In: M. Tanaka and G.S. Dulikravich (Eds).
  • Krings, W, and Waller, H, 1979. Contribution of the numerical treatment of partial differential equations with the Laplace transformation (An application of the algorithm of the fast Fourier transformation), International Journal on Numerical Mechanical Engineering 14 (1979), pp. 1183–1196.
  • Inoue, H, Kishimoto, K, Shibuya, T, and Kozumi, T, 1992. Estimation of impact load by inverse analysis (Optimal transfer function for inverse analysis), JSME International Journal of Series I 35 (4) (1992), pp. 420–427.
  • Wu, E, Tsai, TD, and Yen, CS, 1995. Two methods for determining impact-force history on elastic plates, Exposition in Mechanics 35 (1) (1995), pp. 11–18.
  • Kirsch, A, 1996. An Introduction to the Mathematical Theory of Inverse Problems. New York. 1996.
  • Hansen, PC, and O'Leary, DP, 1993. The use of the L-curve in the regularization of discrete ill-posed problems, SIAM Journal of Scientific Computing 14 (1993), pp. 1487–1503.
  • Leissa, AW, 1969. Vibration of Plates (NASA SP-160). U.S.. 1969.
  • Leissa, AW, 1973. The free vibration of rectangular plates, Journal of Sound and Vibration 31 (1973), pp. 257–293.
  • Hu, HC, 1982. Variational Principles and its Applications in Elastic Mechanics. Beijing, China. 1982.
  • Inoue, H, Kamibayashi, M, Kishmoto, K, Shibuya, T, and Koizumi, T, 1992. Numerical Laplace transformation and inversion using fast Fourier transformation, JSME International Journal of Series I 35 (3) (1992), pp. 319–324.
  • Wilcox, DJ, 1978. Numerical Laplace transformation and inversion, International Journal of Electro Engineering Education 15 (1978), pp. 247–265.
  • Phillips, DL, 1962. A technique for the numerical solution of certain integral equations of the first kind, Journal of Association Computational Mechanics 9 (1962), pp. 84–97.
  • Tikhonov, AN, 1963. Solution of incorrectly formulated problems and the regularization method, Soviet Mathematics Doklady 4 (1963), pp. 1035–1038.
  • Varah, JM, 1979. A practical examination of some numerical methods for linear discrete ill-posed problems, SIAM Review 21 (1979), pp. 100–111.
  • Linz, P, 1994. A new numerical method for ill-posed problems, Inverse Problems 10 (1994), pp. L1–L6.
  • Hansen, PC, 1992. Analysis of discrete ill-posed problems by means of the L-curve, SIAM Review 34 (1992), pp. 561–580.
  • Hansen, PC, 1998. Rank-Deficient and Discrete Ill-posed Problems. Philadelphia. 1998.
  • Hansen, PC, 1994. Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems, Numerical Algorithms 6 (1994), pp. 1–35.
  • Kilmer, ME, and O'Leary, DP, 2001. Choosing regularization parameters in iterative methods for ill-posed problems, SIAM Journal of Matrix Analysis Applications 22 (4) (2001), pp. 1204–1221.
  • Hanke, M, and Hansen, PC, 1993. Regularization methods for large-scale problems, Surveys in Mathematics in Industry 3 (1993), pp. 253–315.

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