CLC number: O34
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2009-07-22
Cited: 4
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Saied IRANI, Omid KAVIANIPOUR. Effects of a flexible joint on instability of a free-free jointed bipartite beam under the follower and transversal forces[J]. Journal of Zhejiang University Science A, 2009, 10(9): 1252-1262.
@article{title="Effects of a flexible joint on instability of a free-free jointed bipartite beam under the follower and transversal forces",
author="Saied IRANI, Omid KAVIANIPOUR",
journal="Journal of Zhejiang University Science A",
volume="10",
number="9",
pages="1252-1262",
year="2009",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0820621"
}
%0 Journal Article
%T Effects of a flexible joint on instability of a free-free jointed bipartite beam under the follower and transversal forces
%A Saied IRANI
%A Omid KAVIANIPOUR
%J Journal of Zhejiang University SCIENCE A
%V 10
%N 9
%P 1252-1262
%@ 1673-565X
%D 2009
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0820621
TY - JOUR
T1 - Effects of a flexible joint on instability of a free-free jointed bipartite beam under the follower and transversal forces
A1 - Saied IRANI
A1 - Omid KAVIANIPOUR
J0 - Journal of Zhejiang University Science A
VL - 10
IS - 9
SP - 1252
EP - 1262
%@ 1673-565X
Y1 - 2009
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A0820621
Abstract: This paper deals with the problem of the instability regions of a free-free flexible jointed bipartite beam under the follower and transversal forces as a realistic simulation of a two-stage aerospace structure. The aim of this study is to analyze the effects of the characteristics of a flexible joint on the beam instability to use maximum bearable propulsion force. A parametric study is conducted to investigate the effects of the stiffness and the location of the joint on the critical follower force by the Ritz method and the Newmark method, then to research the vibrational properties of the structure. It has been shown that the nature of instability is quite unpredictable and dependent on the stiffness and the location of the joint. The increase of the follower force or the transversal force will increase the vibration of the model and consequently cause a destructive phenomenon in the control system of the aerospace structure. Furthermore, this paper introduces a new concept of the parametric approach to analyze the characteristics effects of a flexible two-stage aerospace structure joint design.
[1] Attard, M.M., Lee, J.S., Kim, M.Y., 2008. Dynamic stability of shear-flexible beck’s columns based on Engesser’s and Haringx’s buckling theories. Computers and Structures, 86(21-22):2042-2055.
[2] Au, F.T.K., Zheng, D.Y., Cheung, Y.K., 1999. Vibration and stability of non-uniform beams with abrupt changes of cross-section by using C1 modified beam vibration functions. Applied Mathematical Modelling, 23(1):19-34.
[3] Beal, T.R., 1965. Dynamic stability of a flexible missile under constant and pulsating thrusts. AIAA Journal, 3(3):486-494.
[4] Bokaian, A., 1988. Natural frequencies of beam under compressive axial loads. Journal of Sound and Vibration, 126(1):49-65.
[5] Craig, R.R.Jr., Kurdila, A.J., 2006. Fundamentals of Structural Dynamics. John Wiley & Sons Inc., New Jersey, p.513-527.
[6] de Rosa, M.A., Auciello, N.M., Lippiello, M., 2008. Dynamic stability analysis and DQM for beams with variable cross-section. Mechanics Research Communications, 35(3):187-192.
[7] Detinko, F.M., 2003. Lumped damping and stability of Beck column with a tip mass. International Journal of Solids and Structures, 40(17):4479-4486.
[8] Di Egidio, A., Luongo, A., Paolone, A., 2007. Linear and non-linear interactions between static and dynamic bifurcations of damped planar beams. International Journal of Non-Linear Mechanics, 42(1):88-98.
[9] Djondjorov, P.A., Vassilev, V.M., 2008. On the dynamic stability of a cantilever under tangential follower force according to Timoshenko beam theory. Journal of Sound and Vibration, 311(3-5):1431-1437.
[10] Elfelsoufi, Z., Azrar, L., 2006. Integral equation formulation and analysis of the dynamic stability of damped beams subjected to subtangential follower forces. Journal of Sound and Vibration, 296(4-5):690-713.
[11] Hassanpour, P.A., Cleghorn, W.L., Mills, J.K., Esmailzadeh, E., 2007. Exact solution of the oscillatory behavior under axial force of a beam with a concentrated mass within its interval. Journal of Vibration and Control, 13(12):1723-1739.
[12] Hodges, D.H., Pierce, G.A., 2002. Introduction to Structural Dynamics and Aeroelasticity. The Press Syndicate of the University of Cambridge, Cambridge, p.59-66.
[13] Joshi, A., 1995. Free vibration characteristics of variable mass rocket having large axial thrust/acceleration. Journal of Sound and Vibration, 187(4):727-736.
[14] Katsikadelis, J.T., Tsiatas, G.C., 2007. Optimum design of structures subjected to follower forces. International Journal of Mechanical Sciences, 49(11):1204-1212.
[15] Kim, J.H., Choo, Y.S., 1998. Dynamic stability of a free-free Timoshenko beam subjected to a pulsating follower force. Journal of Sound and Vibration, 216(4):623-636.
[16] Langthjem, M.A., 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. Journal of Sound and Vibration, 226(1):1-23.
[17] Lee, J.S., Kim, N.I., Kim, M.Y., 2007. Sub-tangentially loaded and damped Beck’s columns on two-parameter elastic foundation. Journal of Sound and Vibration, 306(3-5):766-789.
[18] Luongo, A., Di Egidio, A., 2006. Divergence, Hopf and double-zero bifurcations of a nonlinear planar beam. Computers and Structures, 84(24-25):1596-1605.
[19] Marzani, A., Tornabene, F., Viola, E., 2008. Nonconservative stability problems via generalized differential quadrature method. Journal of Sound and Vibration, 315(1-2):176-196.
[20] Meirovitch, L., 1997. Principles and Techniques of Vibrations. Prentice-Hall International Inc., New Jersey, p.368-371.
[21] Mladenov, K.A., Sugiyama, Y., 1997. Stability of a jointed free-free beam under end rocket thrust. Journal of Sound and Vibration, 199(1):1-15.
[22] Nihous, G.C., 1997. On the continuity of boundary value problem for vibrating free-free straight beams under axial loads. Journal of Sound and Vibration, 200(1):110-119.
[23] Paolone, A., Vastab, M., Luongoc, A., 2006. Flexural-torsional bifurcations of a cantilever beam under potential and circulatory forces (. Non-linear model and stability analysis. International Journal of Non-Linear Mechanics, 41(4):586-594.
[24] Park, Y.P., 1987. Dynamic stability of a free Timoshenko beam under a controlled follower force. Journal of Sound and Vibration, 113(3):407-415.
[25] Park, Y.P., Mote, C.D.Jr., 1985. The maximum controlled follower force on a free-free beam carrying a concentrated mass. Journal of Sound and Vibration, 98(2):247-256.
[26] Pourtakdoust, S.H., Assadian, N., 2004. Investigation of thrust effect on the vibrational characteristics of flexible guided missiles. Journal of Sound and Vibration, 272(1-2):287-299.
[27] Ryu, S.U., Sugiyama, Y., 2003. Computational dynamics approach to the effect of damping on stability of a cantilevered column subjected to a follower force. Computers and Structures, 81(4):265-271.
[28] Sato, K., 1991. On the governing equation for vibrating and stability of a Timoshenko beam: Hamilton’s Principle. Journal of Sound and Vibration, 145(2):338-340.
[29] Shvartsman, B.S., 2007. Large deflections of a cantilever beam subjected to a follower force. Journal of Sound and Vibration, 304(3-5):969-973.
[30] Sugiyama, Y., Langthjem, M.A., 2007. Physical mechanism of the destabilizing effect of damping in continuous non-conservative dissipative systems. International Journal of Non-Linear Mechanics, 42(1):132-145.
[31] Thana, H.K., Ameen, M., 2007. Finite element analysis of dynamic stability of skeletal structures under periodic loading. Journal of Zhejiang University SCIENCE A, 8(2):245-256.
[32] Tomski, L., Szmidla, J., Uzny, S., 2007. The local and global instability and vibration of systems subjected to non-conservative loading. Thin-walled Structures, 45(10-11):945-949.
[33] Wang, Q., 2004. A comprehensive stability analysis of a cracked beam subjected to follower compression. International Journal of Solids and Structures, 41(18-19):4875-4888.
[34] Wu, J.J., 1975. On the stability of a free-free beam under axial thrust subjected to directional control. Journal of Sound and Vibration, 43(1):45-52.
[35] Young, T.H., Juan, C.S., 2003. Dynamic stability and response of fluttered beams subjected to random follower forces. International Journal of Non-Linear Mechanics, 38(6):889-901.
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