참고문헌
- Alamatian, J. (2012), "A new formulation for fictitious mass of the dynamic relaxation method with kinetic damping", Comput. Struct., 90-91, 42-54. https://doi.org/10.1016/j.compstruc.2011.10.010
- Al-Shawi, F.A.N. and Mardirosian, A.H. (1987), "An improved dynamic relaxation method for the analysis of plate bending problems", Comput. Struct., 27(2), 237-240. https://doi.org/10.1016/0045-7949(87)90091-5
- Barnes, M.R. (1988), "Form-finding and analysis of prestressed nets and membranes", Comput. Struct., 30(3), 685-695. https://doi.org/10.1016/0045-7949(88)90304-5
- Brew, J.S. and Brotton, D.M. (1971), "Non-linear structural analysis by dynamic relaxation", Int. J. Numer. Methods Eng., 3(4), 463-483. https://doi.org/10.1002/nme.1620030403
- Bunce, J.W. (1972), "A note on the estimation of critical damping in dynamic relaxation", Int. J. Numer. Methods Eng., 4(2), 301-303. https://doi.org/10.1002/nme.1620040214
- Cassell, A.C. and Hobbs, R.E. (1976), "Numerical stability of dynamic relaxation analysis of non-linear structures", Int. J. Numer. Methods Eng., 10(6), 1407-1410. https://doi.org/10.1002/nme.1620100620
- Cundall, P.A. (1976), "Explicit finite-difference method in geomechanics", Proceedings of the International Conference on Numerical Methods in Geomechanics, Blacksburg, 132-150.
- Frankel, S.P. (1950), "Convergence rates of iterative treatments of partial differential equations", Math. Tables Aids Comput., 4(30), 65-75. https://doi.org/10.2307/2002770
- Frieze, P.A., Hobbs, R.E. and Dowling, P.J. (1978), "Application of dynamic relaxation to the large deflection elasto-plastic analysis of plates", Comput. Struct., 8(2), 301-310. https://doi.org/10.1016/0045-7949(78)90037-8
- Kadkhodayan, M., Alamatian, J. and Turvey, G.J. (2008), "A new fictitious time for the dynamic relaxation (DXDR) method", Int. J. Numer. Methods Eng., 74(6), 996-1018. https://doi.org/10.1002/nme.2201
- Levy, R. and Spillers, W.R. (2003), Analysis of Geometrically Nonlinear Structures, 2nd edition. ed. Springer, Dordrecht, New York.
- Lewis, W.J. (2003), Tension Structures: Form and Behaviour, Thomas Telford.
- Munjiza, A., Owen, D.R.J. and Crook, A.J.L. (1998), "An M(M-1K)m proportional damping in explicit integration of dynamic structural systems", Int. J. Numer. Methods Eng., 41(7), 1277-1296. https://doi.org/10.1002/(SICI)1097-0207(19980415)41:7<1277::AID-NME335>3.0.CO;2-9
- Nabaei, S.S., Baverel, O. and Weinand, Y. (2013), "Mechanical form-finding of the timber fabric structures with dynamic relaxation method", Int. J. Space Struct., 28(3-4), 197-214. https://doi.org/10.1260/0266-3511.28.3-4.197
- Otter, J.R.H. (1966), "Dynamic relaxation compared with other iterative finite difference methods", Nucl. Eng. Des., 3(1), 183-185. https://doi.org/10.1016/0029-5493(66)90157-9
- Papadrakakis, M. (1981), "A method for the automatic evaluation of the dynamic relaxation parameters", Comput. Methods Appl. Mech. Eng., 25(1), 35-48. https://doi.org/10.1016/0045-7825(81)90066-9
- Qiang, S. (1988), "An adaptive dynamic relaxation method for nonlinear problems", Comput. Struct., Special Issue: Comput. Eng. Mech., 30(4), 855-859.
- Rezaiee-Pajand, M. and Alamatian, J. (2010), "The dynamic relaxation method using new formulation for fictitious mass and damping", Struct. Eng. Mech., 34(1), 109-133. https://doi.org/10.12989/sem.2010.34.1.109
- Rezaiee-Pajand, M. and Alamatian, J. (2005), "Best time step for geometric nonlinear analysis using dynamic relaxation", Modares J. Civ. Eng., 19.
- Rezaiee-Pajand, M. and Taghavian-Hakkak, M. (2006), "Nonlinear analysis of truss structures using dynamic relaxation (research note)", Int. J. Eng.-Trans. B Appl., 19(1), 11-12.
- Rezaiee-pajand, M., Kadkhodayan, M., Alamatian, J. and Zhang, L.C. (2011), "A new method of fictitious viscous damping determination for the dynamic relaxation method", Comput. Struct., 89(9-10), 783-794. https://doi.org/10.1016/j.compstruc.2011.02.002
- Rezaiee-Pajand, M. and Rezaee, H. (2014), "Fictitious time step for the kinetic dynamic relaxation method", Mech. Adv. Mater. Struct., 21(8), 631-644. https://doi.org/10.1080/15376494.2012.699603
- Rezaiee-Pajand, M. and Sarafrazi, S.R. (2011), "Nonlinear dynamic structural analysis using dynamic relaxation with zero damping", Comput. Struct., 89(13-14), 1274-1285. https://doi.org/10.1016/j.compstruc.2011.04.005
- Rezaiee-Pajand, M. and Sarafrazi, S.R. (2010), "Nonlinear structural analysis using dynamic relaxation method with improved convergence rate", Int. J. Comput. Method., 7(4), 627-654. https://doi.org/10.1142/S0219876210002386
- Rezaiee-Pajand, M., Sarafrazi, S.R. and Rezaiee, H. (2012), "Efficiency of dynamic relaxation methods in nonlinear analysis of truss and frame structures", Comput. Struct., 112-113, 295-310. https://doi.org/10.1016/j.compstruc.2012.08.007
- Rushton, K.R. (1969), "Dynamic-relaxation solution for the large deflection of plates with specified boundary stresses", J. Strain Anal. Eng. Des., 4(2), 75-80. https://doi.org/10.1243/03093247V042075
- Spillers, W.R., Schlogel, M. and Pilla, D. (1992), "A simple membrane finite element", Comput. Struct., 45(1), 181-183. https://doi.org/10.1016/0045-7949(92)90355-4
- Topping, B.H.V. and Ivanyi, P. (2008), Computer aided design of cable membrane structures, Saxe-Coburg Publications, Kippen, Stirlingshire, Scotland.
- Veenendaal, D. and Block, P. (2012), "An overview and comparison of structural form finding methods for general networks", Int. J. Solid. Struct., 49(26), 3741-3753. https://doi.org/10.1016/j.ijsolstr.2012.08.008
- Wood, R.D. (2002), "A simple technique for controlling element distortion in dynamic relaxation formfinding of tension membranes", Comput. Struct., 80(27-30), 2115-2120. https://doi.org/10.1016/S0045-7949(02)00274-2
- Wood, W.L. (1971), "Note on dynamic relaxation", Int. J. Numer. Methods Eng., 3(1), 145-147. https://doi.org/10.1002/nme.1620030115
- Xu, R., Li, D.X., Liu, W., Jiang, J.P., Liao, Y.H. and Wang, J. (2015), "Modified nonlinear force density method for form-finding of membrane SAR atenna", Struct. Eng. Mech., 54(6), 1045-1059. https://doi.org/10.12989/sem.2015.54.6.1045
- Zhang, L.G. and Yu, T.X. (1989), "Modified adaptive dynamic relaxation method and its application to elastic-plastic bending and wrinkling of circular plates", Comput. Struct., 33(2), 609-614. https://doi.org/10.1016/0045-7949(89)90035-7
피인용 문헌
- Finding buckling points for nonlinear structures by dynamic relaxation scheme vol.14, pp.1, 2017, https://doi.org/10.1007/s11709-019-0549-z
- Fluid-structure interaction of a tensile fabric structure subjected to different wind speeds vol.31, pp.6, 2017, https://doi.org/10.12989/was.2020.31.6.533
- Response of a Double Hypar Fabric Structure Under Varying Wind Speed Using Fluid-Structure Interaction vol.18, pp.4, 2021, https://doi.org/10.1590/1679-78256367