1. Timoshenko, S. and Woinowsky-Krieger, S., "Theory of plates and shells", McGraw-hill, New York, (1959).
2. Szilard, R., "Theories and applications of plate analysis: classical numerical and engineering methods", John Wiley & Sons, New Jersey, USA, (2004).
3. Levy, S., "Bending of rectangular plates with large deflections", NACA Technical Note 846, pp.
1-46, (1942).
4. Mindlin, R.D., "Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates", Journal of Applied Mechanics, Vol. 18, pp. 31-38, (1951).
5. Reissner, E., "The effect of transverse shear deformation on the bending of elastic plates", Journal of Applied Mechanics, Vol. 12, pp. A69-A77, (1954).
6. Bergan, P.G. and Clough, R.W., "Large deflection analysis of plates and shallow shells using the finite element method", International Journal for Numerical Methods in Engineering, Vol. 5 (4), pp. 543-556, (1973).
7. Yang, R. and Bhatti, M., "Nonlinear static and dynamic analysis of plates", Journal of Engineering Mechanics, Vol. 111 (2), pp. 175-187, (1985).
8. Dawe, D.J., Lam, S.S.E. and Azizian, Z.G., "Non-linear finite strip analysis of rectangular laminates under end shortening, using classical plate theory", International Journal for Numerical Methods in Engineering, Vol. 35 (5), pp. 1087-1110, (1992).
9. Otter, J.R.H. and Day, A.S., "Tidal computations", The Engineer, Vol. 289, pp. 177-182, (1960).
10. Otter, J.R.H., "Computations for pre-stressed concrete reactor pressure vessels using dynamic relaxation", Nuclear Structural Engineering, Vol. 1 (1), pp. 61-75, (1965).
11. Day, A.S., "An introduction to dynamic relaxation", The Engineer, Vol. 219, pp. 218-221, (1965).
12. Frankel, S.P., "Convergence rates of iterative treatments of partial differential equations", Math. Tables and Other Aids to Computation, Vol. 4 (30), pp. 65–75, (1950).
13. Rushton, K.R., "Large deflection of variable-thickness plates", International Journal of Mechanical Sciences, Vol. 10 (9), pp. 723-735, (1968).
14. Rushton, K.R., "Post-buckling of tapered plates", International Journal of Mechanical Sciences, Vol. 11 (5), pp. 461-480, (1969).
15. Basu, A. and Dawson, J., "Orthotropic sandwich plates", Proc. Inst Civil Engineers Proc, London, UK, pp. 87-115, (1970).
16. Rushton, K.R., "Buckling of laterally loaded plates having initial curvature", International Journal of Mechanical Sciences, Vol. 14 (10), pp. 667-680, (1972).
17. Turvey, G. and Wittrick, W., "The large deflection and post-buckling behavior of some laminated plates", Aeronautical Quarterly, Vol. 24, pp. 77-86, (1973).
18. Alwar, R.S. and Rao, N.R., "Nonlinear analysis of orthotropic skew plates", AIAA Journal, Vol. 11 (4), pp. 495-498, (1973).
19. Alwar, R.S. and Rao, N.R., "Large elastic deformations of clamped skewed plates by dynamic relaxation", Computers & Structures, Vol. 4 (2), pp. 381-398, (1974).
20. Rushton, K.R. and Hook, P.M., "Large deflection of plates and beams obeying non-linear stress-strain laws", The Journal of Strain Analysis for Engineering Design, Vol. 9 (3), pp. 178-184, (1974).
21. Hook, P.M. and Rushton, K.R., "Buckling of beams and plates onto an intermediate support studied by the dynamic relaxation method", The Journal of Strain Analysis for Engineering Design, Vol. 10 (3), pp. 153-158, (1975).
22. Frieze, P.A., Hobbs, R.E. and Dowling, P.J., "Application of dynamic relaxation to the large deflection elasto-plastic analysis of plates", Computers & Structures, Vol. 8 (2), pp. 301-310, (1978).
23. Turvey, G.J., "Large deflection of tapered annular plates by dynamic relaxation", Journal of the Engineering Mechanics Division, Vol. 104 (2), pp. 351-366, (1978).
24. Pica, A. and Hinton, E., "Transient and pseudo-transient analysis of Mindlin plates", International Journal for Numerical Methods in Engineering, Vol. 15 (2), pp. 189-208, (1980).
25. Turvey, G.J. and Der Avanessian, N.G.V., "DR analysis of beams using graded finite differences", Computers & Structures, Vol. 22 (5), pp. 737-742, (1986).
26. Al-Shawi, F.A.N. and Mardirosian, A.H., "An improved dynamic relaxation method for the analysis of plate bending problems", Computers & Structures, Vol. 27 (2), pp. 237-240, (1987).
27. Zhang, L.G. and Yu, T.X., "Modified adaptive dynamic relaxation method and its application to elastic-plastic bending and wrinkling of circular plates", Computers & Structures, Vol. 33 (2),
pp. 609-614, (1989).
28. Turvey, G.J. and Osman, M.Y., "Elastic large deflection analysis of isotropic rectangular Mindlin plates", International Journal of Mechanical Sciences, Vol. 32 (4), pp. 315-328, (1990).
29. Turvey, G.J. and Salehi, M., "DR large deflection analysis of sector plates", Computers & Structures, Vol. 34 (1), pp. 101-112, (1990).
30. Salehi, M. and Turvey, G.J., "Elastic large deflection response of annular sector plates—a comparison of dr finite-difference, finite element and other numerical solutions", Computers & Structures, Vol. 40 (5), pp. 1267-1278, (1991).
31. Kadkhodayan, M., Zhang, L.C. and Sowerby, R., "Analyses of wrinkling and buckling of elastic plates by DXDR method", Computers & Structures, Vol. 65 (4), pp. 561-574, (1997).
32. Turvey, G.J. and Salehi, M., "Annular sector plates: Comparison of full-section and layer yield predictions", Computers & Structures, Vol. 83 (28–30), pp. 2431-2441, (2005).
33. Cassell, A., Kinsey, P. and Sefton, D., "Cylindrical shell analysis by dynamic relaxation", Proc. ICE Proceedings, Vol. 39, pp. 75-84, (1968).
34. Otter, J., Pippard, A., Lane, R., Welch, A., King, I., Wood, W., Cubitt, N., Hayes, R., Hobbs, R. and Zienkiewicz, O., "Discussion: dynamic relaxation", Proc. ICE Proceedings, Vol. 37, pp. 723-750, (1967).
35. Wood, W.L., "Comparison of dynamic relaxation with three other iterative methods", Engineer, Vol. 224, pp. 683-687, (1967).
36. Wood, W.L., "Note on dynamic relaxation", International Journal for Numerical Methods in Engineering, Vol. 3 (1), pp. 145-147, (1971).
37. Brew, J.S. and Brotton, D.M., "Nonlinear structural analysis by dynamic relaxation", International Journal for Numerical Methods in Engineering, Vol. 3 (4), pp. 463-483, (1971).
38. Bunce, J.W., "A note on the estimation of critical damping in dynamic relaxation", International Journal for Numerical Methods in Engineering, Vol. 4 (2), pp. 301-303, (1972).
39. Cassell, A.C. and Hobbs, R.E., "Numerical stability of dynamic relaxation analysis of non-linear structures", International Journal for Numerical Methods in Engineering, Vol. 10 (6), pp.
1407-1410, (1976).
40. Papadrakakis, M., "A method for the automatic evaluation of the dynamic relaxation parameters", Computer Methods in Applied Mechanics and Engineering, Vol. 25 (1), pp. 35-48, (1981).
41. Felippa, C.A., "Dynamic relaxation under general increment control", Mathematical Programming, Vol. 24, pp. 103-133, (1982).
42. Underwood, P., "Dynamic relaxation (in structural transient analysis)", Computational methods for transient analysis (A 84-29160 12-64), Amsterdam, North-Holland, pp. 245-265, (1983).
43. Qiang, S., "An adaptive dynamic relaxation method for nonlinear problems", Computers & Structures, Vol. 30 (4), pp. 855-859, (1988).
44. Zhang, L.C., Kadkhodayan, M. and Mai, Y.W., "Development of the maDR method", Computers & Structures, Vol. 52 (1), pp. 1-8, (1994).
45. Munjiza, A., "A Km proportional damping for dynamic relaxation", International Journal for Engineering Modelling, Vol. 9 (1-4), pp. 1-9, (1996).
46. Munjiza, A., Owen, D.R.J. and Crook, A.J.L., "An M(M−1K) m proportional damping in explicit integration of dynamic structural systems", International Journal for Numerical Methods in Engineering, Vol. 41 (7), pp. 1277-1296, (1998).
47. Rezaiee-Pajand, M. and Taghavian Hakkak, M., "Nonlinear analysis of truss structures using dynamic relaxation", International Journal of Engineering, Vol. 19 (1), pp. 11-22, (2006).
48. Kadkhodayan, M., Alamatian, J. and Turvey, G.J., "A new fictitious time for the dynamic relaxation (DXDR) method", International Journal for Numerical Methods in Engineering, Vol. 74 (6), pp. 996-1018, (2008).
49. Rezaiee-Pajand, M. and Alamatian, J., "Nonlinear dynamic analysis by dynamic relaxation method", Structural Engineering & Mechanics, Vol. 28 (5), pp. 549-570, (2008).
50. رضایی پژند، محمد و علامتیان، جواد "روش رهایی پویا برای پیمایش مسیر ایستایی سازههای خرپایی"، مجله مدلسازی در مهندسی، سال هفتم، شماره 17، صص 39-27، (1388).
51. سرافرازی، سید رضا، "تابع اولیه گیری عددی برای تحلیل پویای سازهها"، رسالۀ دکتری مهندسی عمران(سازه)، دانشکدۀ مهندسی، دانشگاه فردوسی مشهد، (1389).
52. Rezaiee-Pajand, M. and Sarafrazi, S.R., "Nonlinear structural analysis using dynamic relaxation method with improved convergence rate", International Journal of Computational Methods, Vol. 7 (4), pp. 627-654, (2010).
53. Rezaiee-Pajand, M. and Alamatian, J., "The dynamic relaxation method using new formulation for fictitious mass and damping", Structural Engineering and Mechanics, Vol. 34 (1), pp. 109-133, (2010).
54. Rezaiee-Pajand, M., Kadkhodayan, M., Alamatian, J. and Zhang, L.C., "A new method of fictitious viscous damping determination for the dynamic relaxation method", Computers & Structures, Vol. 89 (9–10), pp. 783-794, (2011).
55. Rezaiee-Pajand, M. and Alamatian, J., "Automatic DR structural analysis of snap-through and snap-back using optimized load increments", Journal of Structural Engineering, Vol. 137 (1), pp. 109-116, (2011).
56. Rezaiee-Pajand, M. and Sarafrazi, S.R., "Nonlinear dynamic structural analysis using dynamic relaxation with zero damping", Computers & Structures, Vol. 89 (13–14), pp. 1274-1285, (2011).
57. Rezaiee-Pajand, M., Kadkhodayan, M. and Alamatian, J., "Timestep selection for dynamic relaxation method", Mechanics Based Design of Structures and Machines, Vol. 40 (1), pp. 42-72, (2012).
58. Rezaiee-Pajand, M., Sarafrazi, S.R. and Rezaiee, H., "Efficiency of dynamic relaxation methods in nonlinear analysis of truss and frame structures", Computers & Structures, Vol. 112–113, pp.
295-310, (2012).
59. رضایی، حسینه، "تحلیل ناخطی سازهها با روش رهایی پویا"، پایان نامۀ کارشناسی ارشد مهندسی عمران (سازه)، دانشکدۀ مهندسی، دانشگاه فردوسی مشهد، (1390).
60. Topping, B.H.V. and Ivanyi, P., "Computer aided design of cable membrane structures", Saxe-Coburg Publications, Scotland, pp. 39-84, (2008).
61. Cundall, P., "Explicit finite-difference methods in geomechanics", Proc. Proceeding 2nd International Conference on Numerical Methods in Geomechanics, Vol. 1, Blacksburg, Virginia., pp. 132-150, (1976).
ارسال نظر در مورد این مقاله