1. Nayfeh AH. Finite-amplitude longitudinal waves in non-uniform bars. Journal of Sound and Vibration. 1975;42(3):357-361. [
Link] [
DOI:10.1016/0022-460X(75)90250-3]
2. Raman VM. On analytical solutions of vibrations of rods with variable cross sections. Applied Mathematical Modelling.1983;7(5):356-361. [
Link] [
DOI:10.1016/0307-904X(83)90134-8]
3. Kumar BM, Sujith RI. Exact solutions for the longitudinal vibration of non-uniform rods. Journal of Sound and Vibration. 1997;207(5):721-729. [
Link] [
DOI:10.1006/jsvi.1997.1146]
4. Cveticanin L, Uzelac Z. Nonlinear longitudinal vibrations of a rod. Journal of Vibration and Control. 1999;5(6):827-849. [
Link] [
DOI:10.1177/107754639900500601]
5. Li QS, Li GQ, Liu DK. Exact solutions for longitudinal vibration of rods coupled by translational springs. International Journal of Mechanical Sciences. 2000;42(6):1135-1152. [
Link] [
DOI:10.1016/S0020-7403(99)00038-7]
6. Raj A, Sujith RI. Closed-form solutions for the free longitudinal vibration of inhomogeneous rods. Journal of Sound and Vibration. 2005;283(3-5):1015-1030. [
Link] [
DOI:10.1016/j.jsv.2004.06.003]
7. Mousavi SM, Fariborz SJ. Free vibration of a rod undergoing finite strain. Journal of Physics: Conference Series. 2012;382(1):012011. [
Link]
8. Baghestani AM, Fariborz SJ, Mousavi SM. Low-frequency free vibration of rods with finite strain. Journal of Applied Nonlinear Dynamics. 2014;3(1):85-93. [
Link] [
DOI:10.5890/JAND.2014.03.007]
9. Soleimani Roody B, Fotuhi AR, Jalili MM. Nonlinear longitudinal forced vibration of a rod undergoing finite strain. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 2018;232(12):2229-2243. [
Link] [
DOI:10.1177/0954406217716957]
10. Soleimani Roody B, Fotuhi AR, Jalili MM. Nonlinear longitudinal free vibration of a rod undergoing finite strain. Amirkabir Journal of Mechanical Engineering. 2017, December. [Persian] [
Link]
11. Lai WM, Rubin D, Krempl E. Introduction to continuum mechanics. 4th Edition. Amsterdam: Elsevier; 2009. [
Link]
12. Rao SS. Vibration of continuous systems. Hoboken: John Wiley & Sons; 2007. [
Link]
13. Nayfeh AH, Мook DТ. Nonlinear Oscillations. Hoboken: John Wiley & Sons; 1995. [
Link]