Nayfeh, A. H., and Mook, D. T., 1979, "*Nonlinear Oscillations*", Wiley, New York.

Woinowsky-Krieger, S., 1950, “The Effect of an Axial Force on the Vibration of Hinged Bars,” ASME J. Appl. Mech., 17 , pp. 35–36.

Burgreen, D., 1951, Free Vibration of Pin-Ended Column With Constant Distance Between Pin Ends,” ASME J. Appl. Mech., 18 , pp. 135–139.

Ozkaya, E., and Tekin, A., 2007, Non Linear Vibrations of Stepped Beam System Under Different Boundary Conditions,” Struct. Eng. Mech., 27 (3), 333–345.

Weidenhammer, F., 1981, “Non-linear Vibrations With Almost Periodical Parameter Excitations,” Z. Angew. Math. Mech.

[CrossRef], 61 (12), pp. 633–638.

Srinivasan, A. V., 1965, “Large Amplitude-Free Oscillations of Beams and Plates,” AIAA J., 3 , pp. 1951–1953.

Tseng, W. Y., and Dugundji, J., 1971, “Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation,” ASME J. Appl. Mech., 38 , pp. 467–472.

Dowell, E. H., 1980, “Component Mode Analysis of Nonlinear and Non Conservative Systems,” ASME J. Appl. Mech., 47 , pp. 172–176.

Szemplinska-Stupnicka, W., 1971, "*The Behaviour of Nonlinear Vibrating Systems II*", Kluwer, Dordrecht.

Pakdemirli, M., and Nayfeh, A. H., 1994, “Nonlinear Vibration of Beam-Spring-Mass System,” ASME J. Vibr. Acoust., 166 , pp. 433–438.

Lewandowski, R., 1989, “Nonlinear Free Vibrations of Multispan Beams on Elastic Supports,” Comput. Struct., 32 (2), pp. 305–312.

Özkaya, E., 1995, “Nonlinear Vibrations of Beam Mass Systems Under Different End Conditions,” MSc thesis, Celal Bayar University.

Gürgöze, M., 1984, “A Note on the Vibrations of Restrained Beams and Rods With Point Masses,” J. Sound Vib.

[CrossRef], 96 , pp. 461–468.

Gürgöze, M., 1985, “On the Vibrations of Restrained Beams and Rods With Heavy Masses,” J. Sound Vib., 100 , pp. 588–589.

Gürgöze, M., Özgür, K., and Erol, H., 1995, “On the Eigenfrequencies of a Cantilevered Beam With a Tip Mass and In-Span Support,” Comput. Struct., 56 , pp. 85–92.

Gürgöze, M., 1998, “On the Alternative Formulations of the Frequency Equation of a Bernoulli–Euler Beam to Which Several Spring-Mass Systems are Attached In-Span,” J. Sound Vib., 217 , pp. 585–595.

Özkaya, E., Pakdemirli, M., and Öz, H. R., 1997, “Nonlinear Vibrations of a Beam-Mass System Under Different Boundary Conditions,” J. Sound Vib.

[CrossRef], 199 , pp. 679–696.

Karlı, B., Özkaya, E., Aydın, S., and Pakdemirli, M., 1998, “Vibrations of a Beam Mass System Using Artificial Neural Network,” Comput. Struct., 69 , pp. 339–347.

Özkaya, E., Aydın, S., and Pakdemirli, M., 1999, “Nonlinear Vibrations of Beam-Mass System With Both Ends Clamped,” J. Sound Vib., 221 , pp. 491–503.

Sato, K., Shikanai, G., and Minamino, Y., 1986, “Non-linear Vibrations of Beams With Attached Spring-Mass System,” Bull. JSME, 29 (253), pp. 2232–2238.

Öz, H. R., 2000, “Calculation of the Natural Frequencies of a Beam-Mass System Using Finite Element Method,” Math. Comput. Appl., 5 , pp. 67–75.

Özkaya, E., 2001, “Linear Transverse Vibrations of a Simply Supported Beam Carrying Concentrated Masses,” Math. Comput. Appl., 6 , pp. 147–151.

Gürgöze, M., and Erol, H., 2001, “Determination of the Frequency Response Function of a Cantilevered Beam Simply Supported In-Span,” J. Sound Vib., 247 , pp. 372–378.

Gürgöze, M., and Erol, H., 2002, “On the Frequency Response Function of a Damped Cantilever Simple-Simple Supported In-Span and Carrying a Tip Mass,” J. Sound Vib., 255 , pp. 489–500.

Pakdemirli, M., and Boyacı, H., 2003, “Nonlinear Vibrations of Simple Beam With a Non-Ideal Support in Between,” J. Sound Vib., 268 , pp. 331–341.

Rehfield, L. W., 1974, “Nonlinear flexural oscillation of shallow arches,” AIAA J., 12 , pp. 91–93.

Öz, H. R., Pakdemirli, M., Özkaya, E., and Yılmaz, M., 1998, “Nonlinear Vibrations of a Slightly Curved Beam Resting on a Nonlinear Elastic Foundation,” J. Sound Vib.

[CrossRef], 212 pp. 295–309.

Nayfeh, A. H., 1981, "*Introduction to Perturbation Techniques*", Wiley, New York.