A non-linear model for the dynamics of open cross-section thin-walled beams - Part II: Forced motion

International Journal of Non-Linear Mechanics

Volumn 38, Issue 7, 2003, Pages 1083-1094

  Di Egidio, Angelo ^a   Luongo, Angelo ^a   Vestroni, Fabrizio ^b  

^a UNIVERSITY OF L'AQUILA   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Beams; Flexural torsional dynamics; Non linear resonances; Open cross section; Warping non linear effects

Indexed keywords

COUPLINGS; EQUATIONS OF MOTION; FIBERS; SHEAR DEFORMATION; STABILITY;

THIN-WALLED BEAMS;

CANTILEVER BEAMS;

EID: 0037412176     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(02)00054-9     Document Type: Article

References (9)

1. A. Di Egidio, A. Luongo, F. Vestroni, A non-linear model for the dynamics of open cross-section thin-walled beams - Part I: formulation, Int. J. Non-linear Mech. 37 (2003) 1067-1081.
2. Crespo da Silva M.R.M., Glynn C.C. Nonlinear flexural-flexural-torsional dynamics of inextensional beams. II: forced motion. J. Struct. Mech. 6(1):1978;437-448.
3. Pernjin F., Nayfeh Ali H. Non-linear non-planar oscillations of a cantilever beam under lateral base excitations. Int. J. Non-Linear Mech. 25(5):1990;455-474.
4. Luongo A., Rega G., Vestroni F. Non resonant non-planar free motions of inextensional non-compact beams. J. Sound Vib. 134(1):1989;73-86.
5. Crespo da Silva M.R.M., Zaretzky C.L. Nonlinear flexural-flexural-torsional interaction in beams including the effect of torsional dynamics. I: primary resonance. Nonlinear Dyn. 5:1994;3-23.
6. Crespo da Silva M.R.M., Zaretzky C.L. Nonlinear flexural-flexural-torsional interaction in beams including the effect of torsional dynamics. II: combination resonance. Nonlinear Dyn. 5:1994;24-42.
7. F. Benedettini, A. Di Egidio, Theoretical and experimental finite forced dynamics of a cantilever beam: dynamic instability and modal coupling, Proceedings of DECT99, September 14-17, Las Vegas, Nevada, 1999.
8. H. Nayfeh Ali, Perturbation Methods, Pure & Applied Mathematics - A Wiley Interscience Series of Text, Monographs & Tracts, New York, 1973.
9. H. Nayfeh Ali, Topical course on nonlinear dynamics, in: Perturbation Methods in Nonlinear Dynamics, Società Italiana di Fisica, Santa Margherita di Pula, Sardinia, 1985.