M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, American Journal of Physics, vol.34, issue.2, 1970.
DOI : 10.1119/1.1972842

V. V. Bolotin, Nonconservative problems of the theory of elastic stability, 1963.

E. De-langre, M. P. Pa¨?doussispa¨?doussis, O. Doaré, and Y. Modarres-sadeghi, Flutter of long flexible cylinders in axial flow, Journal of Fluid Mechanics, vol.571, pp.371-389, 2007.
DOI : 10.1017/S002211200600317X

URL : https://hal.archives-ouvertes.fr/hal-01025717

F. M. Detinko, Lumped damping and stability of Beck column with a tip mass, International Journal of Solids and Structures, vol.40, issue.17, pp.4479-4486, 2003.
DOI : 10.1016/S0020-7683(03)00298-1

O. Doaré, Dissipation effect on local and global stability of fluid-conveying pipes, Journal of Sound and Vibration, vol.329, issue.1, pp.72-83, 2010.
DOI : 10.1016/j.jsv.2009.08.029

O. Doaré, Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations, chapter Dissipation Effect on Local and Global Fluid-Elastic Instabilities, 2014.

O. Doaré and E. De-langre, LOCAL AND GLOBAL INSTABILITY OF FLUID-CONVEYING PIPES ON ELASTIC FOUNDATIONS, Journal of Fluids and Structures, vol.16, issue.1, pp.1-14, 2002.
DOI : 10.1006/jfls.2001.0405

I. Elishakoff, Controversy Associated With the So-Called ???Follower Forces???: Critical Overview, Applied Mechanics Reviews, vol.58, issue.2, p.117, 2005.
DOI : 10.1115/1.1849170

I. Elishakoff and F. Pellegrini, Exact and effective approximate solutions of some divergence-type non-conservative problems, Journal of Sound and Vibration, vol.114, issue.1, pp.143-147, 1987.
DOI : 10.1016/S0022-460X(87)80240-7

E. De-langre, O. Doaré, and F. Pellet, Force suiveuse critique sur une colonne pesante semi-infinie : mod??le et exp??riences, Comptes Rendus de l'Académie des Sciences-Series IIB-Mechanics, pp.175-178, 2001.
DOI : 10.1016/S1620-7742(01)01308-3

M. A. Langthjem and Y. Sugiyama, DYNAMIC STABILITY OF COLUMNS SUBJECTED TO FOLLOWER LOADS: A SURVEY, Journal of Sound and Vibration, vol.238, issue.5, pp.809-851, 2000.
DOI : 10.1006/jsvi.2000.3137

C. Lemaitre, P. Hémon, and E. De-langre, Instability of a long ribbon hanging in axial air flow, Journal of Fluids and Structures, vol.20, issue.7, pp.913-925, 2005.
DOI : 10.1016/j.jfluidstructs.2005.04.009

URL : https://hal.archives-ouvertes.fr/hal-01024961

S. Naguleswaran, Transverse vibration of an uniform Euler???Bernoulli beam under linearly varying axial force, Journal of Sound and Vibration, vol.275, issue.1-2, pp.47-57, 2004.
DOI : 10.1016/S0022-460X(03)00741-7

M. Obligado and M. Bourgoin, An experimental investigation of the equilibrium and stability of long towed cable systems, New Journal of Physics, vol.15, issue.4, p.43019, 2013.
DOI : 10.1088/1367-2630/15/4/043019

M. P. Pa¨?doussispa¨?doussis, Fluid-Structure Interactions, slender structures and axial flows, 1998.

M. P. Pa¨?doussispa¨?doussis, Fluid-Structure Interactions, slender structures and axial flows, 2003.

Y. Sugiyama and H. Kawagoe, Vibration and stability of elastic columns under the combined action of uniformly distributed vertical and tangential forces, Journal of Sound and Vibration, vol.38, issue.3, pp.341-355, 1975.
DOI : 10.1016/S0022-460X(75)80051-4

G. S. Triantafyllou and C. Chryssostomidis, Analytic Determination of the Buckling Speed of Towed Slender Cylindrical Beams, Journal of Energy Resources Technology, vol.106, issue.2, 1984.
DOI : 10.1115/1.3231046

M. S. Triantafyllou and G. S. Triantafyllou, The paradox of the hanging string: An explanation using singular perturbations, Journal of Sound and Vibration, vol.148, issue.2, pp.343-351, 1991.
DOI : 10.1016/0022-460X(91)90581-4