[1] Chalah-Rezgui, L., Chalah, F., Falek, K., Bali, A. & Nechnech, A., Transverse vibration analysis of uniform beams under various ends restraints. APCBEE procedia, 9, 2014, 328–333.
[2] Heng, P., Simplified mechanical models for the Nonlinear Dynamic Analysis of Elasto-plastic steel structures impacted by a rigid body. Ph. D. Thesis, KTH Royal Institute of Technology, Stockholm, SE, 2017.
[3] Chopra, A.K., Dynamics of structures: theory and applications to earthquake engineering. Prentice Hall, New Jersey, 1997.
[4] Whitman, V.R., & Richart Jr., F.E., Design procedures for dynamically loaded foundations. Journal of the Soil Mechanics and Foundations Division 93(6), 1967, 169–193.
[5] Gutierrez, J.A. & Chopra, A.K., A substructure method for earthquake analysis of structures including structure-soil interaction. John Wiley & Sons, New York, 1978.
[6] Bielak, J. & Christiano, P., On the effective seismic input for non-linear soil-structure interaction systems. John Wiley & Sons, New York, 1984.
[7] Kenyon, J. M., Non-linear analysis of reinforced concrete plane frames. Ph. D. Thesis, Department of Civil and Environmental Engineering, University of Adelaide, Adelaide, AUS, 1993.
[8] García, F., Comportamiento dinámico de medios poroelásticos en relación con problemas de interacción suelo-estructura y suelo-agua-estructura, Ph.D. Thesis,International Journal of soil dynamics and earthquake engineering, Gran Canarias, ESP, 2012.
[9] Cadena P., J.M. and others, Two-dimensional lagrangian model for nonlinear soil-structure interactions, B.S. Thesis, Universidad San Francisco de Quito, Quito, ECU, 2017.
[10] Rosson, B.T., A virtual work approach to modeling the nonlinear behavior of steel frames. Journal of Civil Engineering and Architecture, 12(5), 2018, 323-334.
[11] Habibi, A., & Bidmeshki, S., A dual approach to perform geometrically nonlinear analysis of plane truss structures. Steel and Composite Structures, 27(1), 2018, 13-25.
[12] de Araujo, F.C., Ribeiro, I.S., & Silva, K.I., Geometric nonlinear analysis of plane frames with generically nonuniform shear-deformable members. Structures, 12, 2017, 179-187.
[13] Greco, A., Caddemi, S., Caliò, I., Fiore, I., A Review of Simplified Numerical Beam-like Models of Multi-Storey Framed Buildings. Buildings, 12(9), 1397, 2022.
[14] Izzuddin, B. A., Nonlinear dynamic analysis of framed structures. Ph. D. Thesis, University of London, London, ENG, 1990.
[15] Turco, E., Barchiesi, E., Giorgio, I., & dell’Isola, F., A Lagrangian Hencky-type non-linear model suitable for metamaterials design of shearable and extensible slender deformable bodies alternative to Timoshenko theory. International Journal of Non-Linear Mechanics, 123, 2020.
[16] Gazetas, G., Analysis of machine foundation vibrations: state of the art International Journal of soil dynamics and earthquake engineering, Elsevier, 1, 1983, 2-42.
[17] Wolf, J.P., Earthquake engineering & structural dynamics: Spring-dashpot-mass models for foundation vibrations, John Wiley & Sons, New York, 1997.
[18] Pender, M.J., Earthquake-soil structure interaction, spring and dashpot models, and real soil behaviour. IBulletin of the New Zealand Society for Earthquake Engineering, 4, 1983, 320-330.
[19] Serra-Aguila, A., Puigoriol-Forcada, J.M. Reyes, G. & Menacho, J., Viscoelastic models revisited: characteristics and interconversion formulas for generalized Kelvin–Voigt and Maxwell models, Springer, 6, 2019, 1191-1209.
[20] Agila, A., Baleanu, D., Eid, R., & Irfanoglu, B., Applications of the extended fractional Euler-Lagrange equations model to freely oscillating dynamical systems. Rom. J. Phys, 61, 2016, 350-359.
[21] Fetecau, R.C., Marsden, J.E., Ortiz, M. & West, M., Nonsmooth Lagrangian mechanics and variational collision integrators. SIAM Journal on Applied Dynamical Systems, 3, 2003, 381-416.
[22] Taylor, J.R., Classical mechanics. University Science Book, California, 2005.
[23] Jerves, A.X., Elementos de Cálculo Numérico. Editorial Universitaria UTE, Quito, 2021.
[24] Deuflhard, P., Newton methods for nonlinear problems: affine invariance and adaptive algorithms. Springer Science & Business Media, Berlín, 2005.
[25] Chopra, A.K., Dynamics of structures. Pearson Prentice Hall, New Jersey, 2012.
[26] Priestley, M.J.N. & Grant, D.N., Viscous damping in seismic design and analysis. International Journal of Non-Linear Mechanics, 9, 2005, 229–255.
[27] Falconi, R.A., Peligrosidad sísmica de la costa norte de Ecuador y el terremoto de Pedernales de 2016. Revista Geofísica, 67, 2017, 9-24.
[28] Toulkeridis, T., Chunga, K., Rentería, W., Rodriguez, F., Mato, F., Nikolaou, S., Antonaki, N., Diaz-Fanas, G., Besenzon, D. & otros, Mw 7.8 Muisne, Ecuador 4/16/16 observaciones del terremoto: agrupamiento geofísico, mapeo de intensidad, tsunami. Proc. 16ª Conferencia Mundial sobre Ingeniería Sísmica, 16WCEE, Muisne, Ecuador, 1-10, 2017.
[29] Jeong, S.H., Lee, K.H. & Jang, W.S., PRISM for earthquake engineering. Dept. of Architectural Engineering, INHA University, Incheon, South Korea, 2016.