References
- Papadrakakis, M., 1981, Post-buckling Analysis of Spatial Structures by Vector Interaction Methods, Computers and Structures, Vol. 14, No. 5-6, pp. 393-402. https://doi.org/10.1016/0045-7949(81)90059-6
- Coan, C. H. and Plaut, R. H., 1983, Dynamic Stability of a Lattice Dome, Earthquake Engineering and Structural Dynamics, Vol. 11, No. 2, pp. 269-274. https://doi.org/10.1002/eqe.4290110208
- Kassimali, A. and Bidhendi, E., 1988, Stability of Trusses under Dynamic Loads, Computers & Structures, Vol. 29, No. 3, pp. 381-392. https://doi.org/10.1016/0045-7949(88)90391-4
- Hill, C. D., Blandford, G. E. and Wang, S. T., 1989, Post-bucking Analysis of Steel Space Trusses, Journal of Structural Engineering, Vol. 115, No. 4, pp. 900-919. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:4(900)
- Kim, S. D., 1990, Dynamic Stability of Shallow Structures, PhD Dissertation, Tokyo University, Tokyo.
- Choong, K. K. and Hangai, Y., 1993, Review on Methods of Bifurcation Analysis for Geometrically Nonlinear Structures, Bulletin of the International Association for Shell and Spatial Structures, Vol. 34, No. 112, pp. 133-149.
- Kim, S. D., Kang, M. M., Kwun, T. J. and Hangai, Y., 1997, Dynamic Instability of Shell-like Shallow Trusses Considering Damping, Computers and Structures, Vol. 64, No. 1-4, pp. 481-489. https://doi.org/10.1016/S0045-7949(96)00141-1
- Tada, M. and Suito, A., 1998, Static and Dynamic Post-buckling Behavior of Truss Structures, Engineering Structures, Vol. 20, No. 4-6, pp. 384-389. https://doi.org/10.1016/S0141-0296(97)00018-7
- Jung, H. M., Kwon, Y. H. and Choi, Y. S., 1993, Study on Buckling-characteristics of Rigidly Jointed Single-layer Latticed Domes with Triangular Network, Journal of Architectural Institute of Korea, Vol. 9, No. 2, pp. 185-194.
- Kwon, T. J., Kim, S. D. and Kim, J. M., 1997, A Study on the Unstable Behavior of Pin-connected Single-layer Latticed Domes considering Geometric Nonlinearity, Conference of Computational Structural Engineering Institute of Korea, Vol. 10, No. 1, pp. 240-247.
- Kim, J. K. and Han, S. E., 1998, Linear Buckling Behaviors of Single Layer Latticed Domes by Model Analysis, Journal of Architectural Institute of Korea, Vol. 14, No. 4, pp. 317-325.
- Kim, S. D., 2002, Nonlinear Instability Analysis of Framed Space Structures with Semi-rigid Joint, Journal of Architectural Institute of Korea, Vol. 18, No. 3, pp. 55-62.
- Shon, S. D., Kim, S. D., Lee, S. J. and Kim, J. S., 2011, A Study on the Critical Point and Bifurcation According to Load Mode of Dome-typed Space Frame Structures, Journal of Korea Association for Spatial Structures, Vol. 11, No. 1, pp. 121-130. https://doi.org/10.9712/KASS.2011.11.1.121
- Kim, D. R., Kim, N. S. and Kim, S. D., 2009, Dynamic Snapping Behavor Analysis of Shallow Space Truss Structure Considering Geometric Nonlinearity, Conference of Architectural Institute of Korea, Vol.29, No. 1, pp. 153-156.
- Kim, S. D. and Yun, T. Y., 2003, Dynamic Buckling Characteristics of Arch Structures Considering Geometric Nonlinearity, Proceedings of the KSNVE Annual Spring Conference, pp. 492-497.
- Jang, A. B. and Lee, J. Y., 1997, Chaotic behavior of a Double Pendulum Subjected to Follower Force, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 7, No. 3, pp. 492-497.
- Sadighi, A., Ganji, D. D. and Ganjavi, B., 2007, Travelling Wave Solutions of the Sine-gordon and the Coupled Sine-gordon Equations Using the Homotopy Perturbation Method, Scientia Iranica Transaction B: Mechanical Engineering, Vol. 16, No. 2, pp. 189-195.
- He, J. H., 1999, Homotopy Perturbation Technique, Computer Mwthods I Applied Mechanics and Engineering, Vol. 178, No. 3-4, pp. 257-262. https://doi.org/10.1016/S0045-7825(99)00018-3
- He, J. H., 2000, A Coupling Method of Homotopy Technique and Perturbation Technique for Nonlinear Problems, International Journal of Non-linear Mechanics, Vol. 35, No. 1, pp. 37-43. https://doi.org/10.1016/S0020-7462(98)00085-7
- He, J. H., 2005, Homotopy Perturbation Method for Bifurcation of Nonlinear Problems, International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 6, No. 2, pp. 207-208.
- He, J. H., 2006, Homotopy Perturbation Method for Solving Boundary Value Problems, Physics Letters A, Vol. 350, No. 1-2, pp. 87-88. https://doi.org/10.1016/j.physleta.2005.10.005
- He, J. H., 2003, A Simple Perturbation Approach to Blasius Equation, Applied Mathematics and Computation, Vol. 140, No. 1, pp. 217-222. https://doi.org/10.1016/S0096-3003(02)00189-3
- He, J. H., 2004, The Homotopy Perturbation Method for Nonlinear Oscillators with Discontinuities, Applied Mathematics and Computation, Vol. 151, No. 1, pp. 287-292. https://doi.org/10.1016/S0096-3003(03)00341-2
- He, J. H., 2005, Application of Homotopy Perturbation Method to Nonlinear Wave Equations, Chaos Solitons & Fractals, Vol. 26, No. 3, pp. 695-700. https://doi.org/10.1016/j.chaos.2005.03.006
- Ganji, D. D., 2006, The Application of He's Homotopy Perturbation Method to Nonlinear Equations Arising in Heat Transfer, Physics Letters A, Vol. 355, No. 4-5, pp. 337-341. https://doi.org/10.1016/j.physleta.2006.02.056
- Blendez, A. and Hernandez, T., 2007, Application of He's Homotopy Perturbation Method to the Doffing-harmonic Oscillator, International Journal of Nonlinear Science and Numerical Simulation, Vol. 8, No. 1, pp. 79-88.
- Chowdhury, M. S. H., Hashim, I. and Abdulaziz, O., 2007, Application of Homotopy Perturbation Method to Nonlinear Population Dynamics Models, Physics Letters A, Vol. 368, No. 3-4, pp. 251-258. https://doi.org/10.1016/j.physleta.2007.04.007
- Chowdhury, M. S. H. and Hashim, I., 2008, Analytical Solutions to Heat Transfer Equations by Homotopy Perturbation Method Revisited, Physics Letters A, Vol. 372, No. 8, pp. 1240-1243. https://doi.org/10.1016/j.physleta.2007.09.015
- Hashim, I. and Chowdhury, M. S. H., 2008, Adaptation of Homotopy Perturbation Method for Numeric-analytic Solution of System of ODEs, Physics Letters A, Vol. 372, No. 4, pp. 470-481. https://doi.org/10.1016/j.physleta.2007.07.067
- Hashim, I., Chowdhury, M. S. H. and Mawa, S., 2008, On Multistage Homotopy Perturbation Method Applied to Nonlinear Biochemical Reaction Model, Chaos Solutions & Fractal, Vol. 36, No. 4, pp. 823-827. https://doi.org/10.1016/j.chaos.2007.09.009
- Chowdhury, M. S. H., Hashim, I. and Momani, S., 2009, The Multistage Homotopy Perturbation Method: A Powerful Scheme for Handling the Lorenz System, Chaos Solutions & Fractal, Vol. 40, No. 4, pp. 1929-1937. https://doi.org/10.1016/j.chaos.2007.09.073
- Chowdhury, S. H., 2011, A Comparison between the Modified Homotopy Perturbation Method and Adomain Decomposition Method for Solving Nonlinear Heat Transfer Equations, Journal of Applied Sciences, Vol. 11, No. 8, pp. 1416-1420. https://doi.org/10.3923/jas.2011.1416.1420
- Lee, T. E., Lee, B. K., Lee, J. Y. and Yoon, H. M., 2008, In-plane Free Vibration Analysis of Parabolic Arches with Hollow Section, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 18, No. 2, pp. 215-223. https://doi.org/10.5050/KSNVN.2008.18.2.215
- Budiansky, B. and Roth, R. S., 1962, Axisymmetric Dynamic Buckling of Clamped Shallow Spherical Shells; Collected Papers on Instability of Shells Structures, NASA TN D-1510, Washington DC, pp. 597-606.