### WYD method for an eigen solution of coupled problems

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K. Paul Dilip - “*Efficient dynamic solutions for single and coupled multiple field problems*”, Thesis, University College of Swansea, 1982.

V. Lofti - “*Application of pseudo-symmetric technique in dynamic analysis of concrete gravity dams*”, Advances in Fluid Mechanics, Vol. 36, pp. 207-216, 2003.

V. Lofti - “*Seismic analysis of concrete gravity dams by decoupled modal approach in time domain*”, Electronic Journal of Structural Engineering, Vol. 3, 2003.

F.D. Pin, S. Idelsohn, E. Oñate, R. Aubry - “*The ALE/Lagrangian Particle Finite Element Method: A new approach to computation of free-surface flows and fluid-object interactions* ”, Computers and Fluids 36 (1), pp. 27-38, 2007.

E. Ortega, E. Oñate, S. Idelsohn - “*An improved finite point method for tridimensional potential flows*”, Computational Mechanics 40 (6), pp. 949-963, 2007.

CrossRef

M. Akkose, A. Bayraktar, A.A. Dumanoglu - “*Reservoir water level effects on nonlinear dynamic response of arch dams*”, Journal of Fluids and Structures 24 (3), pp. 418-435, 2008.

CrossRef

S. Küçükarslan, S.B. Coşkun, B. Taşkin - “*Transient analysis of dam-reservoir interaction including the reservoir bottom effects*”, Journal of Fluids and Structures 20 (8), pp. 1073-1084, 2005.

CrossRef

F. H. Hamdan - “*Near-field fluid-structure interaction using Lagrangian fluid finite elements*” Computers and Structures 71, 123-141, 1999.

R.D. Cook, D.S. Malkus and M.E. Plesha, “*Concepts and Applications of Finite Element Analysis*”, 3rd Edn. Wiley, New York, 1989.

M. Sekulović; R. Mrdak; R. Pejović; O. Mijuşković: “*Analysis of seismic response of high arch dam on basis of energy balance*”, 13th World Conference on Earthquake Engineering, Canada, Vancouver, 2004.

A. Mihanović i M. Schönauer - “*Modified WYD method in large dynamics eigen problems*”, proc. 19. simp. of Yugoslav society of mechanics, Bled, 1989. (on croatian)

M. Yuan, P. Chen, S. Xiong, Y. Li and E.L. Wilson - “*The WYD method in large eigenvalue problems*”, Eng. Comp., Vol. 6, pp. 49-57, 1989.

E.L. Wilson, M. Yuan, J.M. Dickens - “*Dynamic analysis by direct superposition of Ritz vectors*”, Earthquake Eng. & Struc. Dyn., Vol. 10, pp. 813-832, 1982.

CrossRef

A.F. Bertolini and Y.C. Lam, “*Accelerated subspace iteration using adaptive multiple inverse iteration*”, Computers & Strucrures, Vol. 66. No. I, pp. 45-57, 1998.

K.-J. Bathe and E. L. Wilson - “*Large eigenvalue problems in dynamic analysis*”, Journal of Engineering Mechanics Division, Proceedings of the ASCE, 98, 1471-1485, 1972.

X. Jiaxian - “*An improved method for partial eigensolution of large structures*” Computers & Strucrures, 32(5), 1055-1060, 1989.

V. I. Weingarten, R. K. Ramanathan and C. Chen - “*N. Lanczos eigenvalue algorithm for large structures on a minicomputer*” Computers & Structures, 16(1-4), 253-257, 1983.

CrossRef

E. L. Wilson and T. Itoh - “*An eigensolution strategy for large systems*” Computers & Structures, 16, 259-265, 1983.

CrossRef

R. Pejović, R. Mrdak, R. Živaljević, O. Mijušković - “*An analysis of seismic resistance of the Granćarevo concrete dam*”, Gradevinar, Vol. 58, pp. 447-453, 2006. (on croatian)

V. Bičkovski i M. Bojadžiev - “*Studies of static and seismic analysis of Grančarevo dam*”, The Institute of Earthquake Engineering and Engineering Seismology University “Ss. Cyril and Methodius” (IZIIS) Skopje, Macedonia, Report IZIIS 88-30, 1988. (on serbian)

“*Esperienze Statiche su Modello Della Diga di Grancarevo*”, I.S.M.E.S. Instituto Sperimentale Modelli e Strutture, Bergamo, Settembre 1960., pratica no. 271 (on italian)

“*Sulla Stabilita*' *Della Roccia di Fondazione Della Diga di Grancarevo Verificata Anche a Mezzo Modello Geomeccanico*”, I.S.M.E.S. Instituto Sperimentale Modelli e Strutture, Bergamo, Settembre 1963. (on italian)

DOI: http://dx.doi.org/10.1260/175095409788837801

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