참고문헌
- Hoff, N. J., & Bruce, V. G., "Dynamic Analysis of the Buckling of Laterally Loaded Flat Arches", Journal of Mathematics and Physics, Vol.32, No.1-4, pp.276-288, 1954
- Humphreys, J. S., "On Dynamic Snap Buckling of Shallow Arches", AIAA Journal, Vol.4, No.5, pp.878-886, 1966 https://doi.org/10.2514/3.3561
- Hsu, C. S., "Equilibrium configurations of a shallow arch of arbitrary shape and their dynamic stability character", International Journal of Non-Linear Mechanics, Vol.3, No.2, pp.113-136, 1968 https://doi.org/10.1016/0020-7462(68)90011-5
- Donaldson, M. T., & Plaut, R. H., "Dynamic stability boundaries for a sinusoidal shallow arch under pulse loads", AIAA Journal, Vol.21, No.3, pp.469-471, 1983 https://doi.org/10.2514/3.8097
- Blair, K. B., Krousgrill, C. M., & Farris, T. N., "Non-linear dynamic response of shallow arches to harmonic forcing", Journal of Sound and Vibration, Vol.194, No.3, pp.353-367, 1996 https://doi.org/10.1006/jsvi.1996.0363
- Levitas, J., Singer, J., & Weller, T., "Global dynamic stability of a shallow arch by poincare-like simple cell mapping", International Journal of Non-Linear Mechanics, Vol.32, No.2, pp.411-424, 1997 https://doi.org/10.1016/S0020-7462(96)00046-7
- Bi, Q., & Dai, H. H., "Analysis of non-linear dynamics and bifurcations of a shallow arch subjected to periodic excitation with internal resonance", Journal of Sound and Vibration, Vol.233, No.4, pp.553-567, 2000 https://doi.org/10.1006/jsvi.1999.2813
- Chen, J. S., & Lin, J. S., "Stability of a shallow arch with one end moving at constant speed", International Journal of Non-Linear Mechanics, Vol.41, No.5, pp.706-715, 2006 https://doi.org/10.1016/j.ijnonlinmec.2006.04.004
- Ha, J. H., Gutman, S., Shon, S. D., & Lee, S. J., "Stability of shallow arches under constant load", International Journal of Non-Linear Mechanics, Vol.58, pp.120-127, 2014 https://doi.org/10.1016/j.ijnonlinmec.2013.08.004
- Virgin, L. N., Wiebe, R., Spottswood, S. M., & Eason, T. G., "Sensitivity in the structural behavior of shallow arches", International Journal of Non-Linear Mechanics, Vol.58, pp.212-221, 2014 https://doi.org/10.1016/j.ijnonlinmec.2013.10.003
- Lin, J. S., & Chen, J. S., "Dynamic snap-through of a laterally loaded arch under prescribed end motion", International Journal of Solids and Structures, Vol.40, No.18, pp.4769-4787, 2003 https://doi.org/10.1016/S0020-7683(03)00181-1
- Budiansky, B., & Roth, R. S., "Axisymmetric dynamic buckling of clamped shallow spherical shells", NASA TN D-1510, pp.597-606, 1962
- Belytschko, T., "A survey of numerical methods and computer programs for dynamic structural analysis", Nuclear Engineering and Design, Vol.37, No.1, pp.23-34, 1976 https://doi.org/10.1016/0029-5493(76)90050-9
- Barrio, R., Blesa, F., & Lara, M., "VSVO Formulation of the taylor method for the numerical solution of ODEs", Computers & Mathematics with Applications, Vol.50, No.1-2, pp.93-111, 2005 https://doi.org/10.1016/j.camwa.2005.02.010
- Dogonchi, A. S., Hatami, M., & Domairry, G., "Motion analysis of a spherical solid particle in plane Couette Newtonian fluid flow", Powder Technology, Vol.274, pp.186-192, 2015 https://doi.org/10.1016/j.powtec.2015.01.018
- Adomian, G., & Rach, R., "Modified Adomian Polynomials", Mathematical and Computer Modeling, Vol.24, No.11, pp.39-46, 1996
- He, J. H., "Homotopy perturbation method: a new nonlinear analytical technique", Applied Mathematics and Computation, Vol.135, No.1, pp.73-79, 2003 https://doi.org/10.1016/S0096-3003(01)00312-5
- Chowdhury, M. S. H., Hashim, I., & Momani, S., "The multistage homotopyperturbation method: A powerful scheme for handling the Lorenz system", Chaos, Solitons & Fractals, Vol.40, No.4, pp.1929-1937, 2009 https://doi.org/10.1016/j.chaos.2007.09.073
- Shon, S. D., Ha, J. H., Lee, S. J., & Kim, J. J., "Application of multistage homotopy perturbation method to the nonlinear space truss model", International Journal of Steel Structures, Vol.15, No.2, pp.335-346, 2015 https://doi.org/10.1007/s13296-015-6006-5
- Dogonchi, A. S., Alizadeh, M., & Ganji, D. D., "Investigation of MHD Go-water nanofluid flow and heat transfer in a porous channel in the presence of thermal radiation effect", Advanced Powder Technology, Vol.28, No.7, pp.1815-1825, 2017 https://doi.org/10.1016/j.apt.2017.04.022
- Barrio, R., Rodriguez, M., Abad, A., & Blesa, F., "Breaking the limits: The Taylor series method", Applied Mathematics and Computation, Vol.217, No.20, pp.7940-7954, 2011 https://doi.org/10.1016/j.amc.2011.02.080
- Shon, S. D., Lee, S. J., Ha, J. H., & Cho, C. G., "Semi-Analytic Solution and Stability of a Space Truss Using a High-Order Taylor Series Method", Materials, Vol.8, No.5, pp.2400-2414, 2015 https://doi.org/10.3390/ma8052400