1 |
Attard, M.M., Lee, J.S. and Kim, M.Y. (2008), "Dynamic stability of shear-flexible beck's columns based on Engesser's and Haringx's buckling theories", Comput. Struct., 86(21-22), 2042-2055
DOI
ScienceOn
|
2 |
Au, F.T.K., Zheng, D.Y. and Cheung, Y.K. (1999), "Vibration and stability of non-uniform beams with abrupt changes of cross-section by using C1 modified beam vibration functions", Appl. Math. Model., 29, 19-34
DOI
ScienceOn
|
3 |
Beal, T.R. (1965), "Dynamic stability of a flexible missile under constant and pulsating thrusts", AIAA J., 3(3), 486-494
DOI
|
4 |
Bokaian, A. (1988), "Natural frequencies of beam under compressive axial loads", J. Sound Vib., 126(1), 49-65
DOI
ScienceOn
|
5 |
Craig, Jr., R.R. and Kurdila, A.J. (2006), Fundamentals of Structural Dynamics, John Wiley & Sons, Inc., New Jersey
|
6 |
De Rosa, M.A., Auciello, N.M. and Lippiello, M. (2008), "Dynamic stability analysis and DQM for beams with variable cross-section", Mech. Res. Commun., 35, 187-192
DOI
ScienceOn
|
7 |
Detinko, F.M. (2002), "Some phenomena for lateral flutter of beams under follower load", Int. J. Solids Struct., 39, 341-350
DOI
ScienceOn
|
8 |
Detinko, F.M. (2003), "Lumped damping and stability of Beck column with a tip mass", Int. J. Solids Struct., 40, 4479-4486
DOI
ScienceOn
|
9 |
Di Egidio, A., Luongo, A. and Paolone, A. (2007) "Linear and non-linear interactions between static and dynamic bifurcations of damped planar beams", Int. J. Non-linear Mech., 42, 88-98
DOI
ScienceOn
|
10 |
Djondjorov, P.A. and Vassilev, V.M. (2008), "On the dynamic stability of a cantilever under tangential follower force according to Timoshenko beam theory", J. Sound Vib., 311, 1431-1437
DOI
ScienceOn
|
11 |
Elfelsoufi, Z. and Azrar, L. (2006), "Integral equation formulation and analysis of the dynamic stability of damped beams subjected to subtangential follower forces", J. Sound Vib., 296, 690-713
DOI
ScienceOn
|
12 |
Hassanpour, P.A., Cleghorn, W.L., Mills, J.K. and Esmailzadeh, E. (2007), "Exact solution of the oscillatory behavior under axial force of a beam with a concentrated mass within its interval", J. Vib. Control, 13(12), 1723-1739
DOI
ScienceOn
|
13 |
Hodges, D.H. and Pierce, G.A. (2002), Introduction to Structural Dynamics and Aeroelasticity, The Press Syndicate of the University of Cambridge, Cambridge
|
14 |
Joshi, A. (1995), "Free vibration characteristics of variable mass rocket having large axial thrust/acceleration", J. Sound Vib., 187(4), 727-736
DOI
ScienceOn
|
15 |
Katsikadelis, J.T. and Tsiatas, G.C. (2007), "Optimum design of structures subjected to follower forces", Int. J. Mech. Sci., 49, 1204-1212
DOI
ScienceOn
|
16 |
Katsikadelis, J.T. and Tsiatas, G.C. (2007), "Nonlinear dynamic stability of damped Beck's column with variable cross-section", Int. J. Non-linear Mech., 42(1), 164-171
DOI
ScienceOn
|
17 |
Langthjem, M.A. and Sugiyama, Y. (2000), "Dynamic stability of columns subjected to follower loads: A survey", J. Sound Vib., 238, 809-851
DOI
ScienceOn
|
18 |
Kim, J.H. and Choo, Y.S. (1998), "Dynamic stability of a free-free Timoshenko beam subjected to a pulsating follower force", J. Sound Vib., 216(4), 623-636
DOI
ScienceOn
|
19 |
Kurnik, W. and Przyby owicz, P.M. (2003), "Active stabilisation of a piezoelectric fiber composite shaft subject to follower load", Int. J. Solids Struct., 40, 5063-5079
DOI
ScienceOn
|
20 |
Langthjem, M.A. and Sugiyama, Y. (1999), "Optimum shape design against flutter of a cantilevered column with an end-mass of finite size subjected to a non-conservative load", J. Sound Vib., 226(1), 1-23
DOI
ScienceOn
|
21 |
Lee, H.P. (1995), "Divergence and flutter of a cantilever rod with an intermediate spring support", Int. J. Solids Struct., 32(10), 1371-1382
DOI
ScienceOn
|
22 |
Lee, J.S., Kim, N.I. and Kim, M.Y. (2007), "Sub-tangentially loaded and damped Beck's columns on twoparameter elastic foundation", J. Sound Vib., 306, 766-789
DOI
ScienceOn
|
23 |
Luongo, A. and Di Egidio, A. (2006), "Divergence, Hopf and double-zero bifurcations of a nonlinear planar beam", Comput. Struct., 84, 1596-1605
DOI
ScienceOn
|
24 |
Marzani, A., Tornabene, F. and Viola, E. (2008), "Nonconservative stability problems via generalized differential quadrature method", J. Sound Vib., 315, 176-196
DOI
ScienceOn
|
25 |
Meirovitch, L. (1997), Principles and Techniques of Vibrations, Prentice-Hall International, Inc., New Jersey
|
26 |
Mladenov, K.A. and Sugiyama, Y. (1997), "Stability of a jointed free-free beam under end rocket thrust", J. Sound Vib., 199(1), 1-15
DOI
ScienceOn
|
27 |
Park, Y.P. (1987), "Dynamic stability of a free Timoshenko beam under a controlled follower force", J. Sound Vib., 113(3), 407-415
DOI
ScienceOn
|
28 |
Nihous, G.C. (1997), "On the continuity of boundary value problem for vibrating free-free straight beams under axial loads", J. Sound Vib., 200(1), 110-119
DOI
ScienceOn
|
29 |
Paolone, A., Vastab, M. and Luongoc, A. (2006), "Flexural-torsional bifurcations of a cantilever beam under potential and circulatory forces I. Non-linear model and stability analysis", Int. J. Non-Linear Mech., 41, 586-594
DOI
ScienceOn
|
30 |
Park, Y.P. and Mote, Jr., C.D. (1984), "The maximum controlled follower force on a free-free beam carrying a concentrated mass", J. Sound Vib., 98(2), 247-256
DOI
ScienceOn
|
31 |
Pourtakdoust, S.H. and Assadian, N. (2004), "Investigation of thrust effect on the vibrational characteristics of flexible guided missiles", J. Sound Vib., 272, 287-299
DOI
ScienceOn
|
32 |
Ravi Kumar, L., Datta, P.K. and Prabhakara, D.L. (2005), "Dynamic instability characteristics of laminated composite doubly curved panels subjected to partially distributed follower edge loading", Int. J. Solids Struct., 42, 2243-2264
DOI
ScienceOn
|
33 |
Ryu, S.U. and Sugiyama, Y. (2003), "Computational dynamics approach to the effect of damping on stability of a cantilevered column subjected to a follower force", Comput. Struct., 81, 265-271
DOI
ScienceOn
|
34 |
Sato, K. (1991), "On the governing equation for vibrating and stability of a Timoshenko beam: Hamilton's Principle", J. Sound Vib., 145(2), 338-340
DOI
ScienceOn
|
35 |
Shvartsman, B.S. (2007), "Large deflections of a cantilever beam subjected to a follower force", J. Sound Vib., 304, 969-973
DOI
ScienceOn
|
36 |
Tsiatas, G.C. and Katsikadelis, J.T. (2009), "Post-critical behavior of damped beam columns with variable crosssection subjected to distributed follower forces", Nonlinear Dynam., 56(4), 429-441
DOI
ScienceOn
|
37 |
Sugiyama, Y. and Langthjem, M.A. (2007), "Physical mechanism of the destabilizing effect of damping in continuous non-conservative dissipative systems", Int. J. Non-Linear Mech., 42(1), 132-145
DOI
ScienceOn
|
38 |
Thana, H.K. and Ameen, M. (2007), "Finite element analysis of dynamic stability of skeletal structures under periodic loading", J. Zhejiang University Science A, 8(2), 245-256
DOI
|
39 |
Tomski, L., Szmidla, J. and Uzny, S. (2007), "The local and global instability and vibration of systems subjected to non-conservative loading", Thin Wall. Struct., 45, 945-949
DOI
ScienceOn
|
40 |
Wang, Q. and Quek, S.T. (2002), "Enhancing flutter and buckling capacity of column by piezoelectric layers", Int. J. Solids Struct., 39, 4167-4180
DOI
ScienceOn
|
41 |
Wang, Q. (2004), "A comprehensive stability analysis of a cracked beam subjected to follower compression", Int. J. Solids Struct., 41, 4875-4888
DOI
ScienceOn
|
42 |
Wu, J.J. (1975), "On the stability of a free-free beam under axial thrust subjected to directional control", J. Sound Vib., 43(1), 45-52
DOI
ScienceOn
|
43 |
Young, T.H. and Juan, C.S. (2003), "Dynamic stability and response of fluttered beams subjected to random follower forces", Int. J. Non-Linear Mech., 38, 889-901
DOI
ScienceOn
|
44 |
Zuo, Q.H. and Schreyer, H.L. (1996), "Flutter and divergence instability of nonconservative beams and plates", Int. J. Solids Struct., 33(9), 1355-1367
DOI
ScienceOn
|