Dynamics of Cable Structures
Publication: Journal of Engineering Mechanics
Volume 129, Issue 2
Abstract
Initial infinitesimal modes of rigid body motions are used to form a reduced basis for nonlinear dynamic analysis of cable structures. This approach superimposed on the geometrically nonlinear truss formulation extracts slow motions from the general dynamic response of cable systems. In this way the problem is reduced considerably and solution of the equations becomes smoother. These two features are computationally desirable. The advantage of the proposed procedure is studied using numerical examples of a plane cable net and a cut-down version of the Geiger dome. Problems of time-history computation and periodic motion analysis are addressed in the examples.
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References
Argyris, J., and Mlejnek, H. P. (1991). Dynamics of structures, North-Holland, Amsterdam.
Buchholdt, N. A. (1985). Introduction to cable roof structures, Cambridge University Press, Cambridge.
Crisfield, M. A. (1991). Non-linear finite element analysis of solids and structures, Wiley, New York.
Fried, I.(1982). “Large deformation static and dynamic finite element analysis of extensible cables.” Comput. Struct., 15, 315–319.
Hindmarsh, A. C. (1983). “ODEPACK: A systematized collection of ODE solvers.” Scientific computing, R. S. Stepelman, ed., North-Holland, Amsterdam.
Hu, H. Y., and Jin, D. P.(2001). “Non-linear dynamics of a suspended traveling cable subject to transverse fluid excitation.” J. Sound Vib., 239(3), 515–529.
Irvine, H. M. (1981). Cable structures, MIT Press, Cambridge.
Kahla, N. B.(1995). “Dynamics of a single guy cable.” Comput. Struct., 54(6), 1197–1211.
Keller, H. B. (1992). Numerical methods for two-point boundary value problems, Dover, New York.
Kirsch, U.(1991). “Reduced basis approximations of structural displacements for optimal design.” AIAA J., 29(10), 1751–1758.
Koh, C. G., Zhang, Y., and Quek, S. T.(1999). “Low-tension cable dynamics: Numerical and experimental studies.” J. Eng. Mech., 125(3), 347–354.
Krishna, P. (1978). Cable-suspended roofs, McGraw-Hill, New York.
Mesarovic, S., and Gasparini, D. A.(1992a). “Dynamic behavior of nonlinear cable system. I.” J. Eng. Mech., 118(5), 890–903.
Mesarovic, S., and Gasparini, D. A.(1992b). “Dynamic behavior of nonlinear cable system. II.” J. Eng. Mech., 118(5), 904–920.
Milinazzo, F., Wilinazzo, M., and Latchman, S. A.(1987). “An efficient algorithm for simulating the dynamics of towed cable systems.” Ocean Eng., 14(6), 513–526.
Nayfeh, A. H., and Balachandran, B. (1995). Applied non-linear dynamics, Wiley, New York.
Noor, A. K.(1994). “Recent advances in applications of reduction methods.” Appl. Mech. Rev., 47, 125–146.
Perkins, N. C., and Mote, C. D., Jr. (1987). “Three-dimensional vibration of traveling elastic cables.” J. Sound Vib., 114, 325–340.
Petzold, L. R.(1983). “Automatic selection of methods for solving stiff and non-stiff systems of ordinary differential equations.” SIAM J. Sci. Comput. (USA), 4, 136–148.
Seydel, R. (1994). Practical bifurcation and stability analysis, Springer, New York.
Szabo, J., and Kollar, L. (1984). Structural design of cable suspended roofs, Horwood, Chichester, U.K.
Timoshenko, S. P., Young, D. H., and Weaver, W. (1974). Vibration problems in engineering, 4th Ed., Wiley, New York.
Triantafyllou, M. S., and Howell, C. T.(1992). “Nonlinear impulsive motions of low-tension cables.” J. Eng. Mech., 118(4), 807–830.
Volokh, K. Yu.(1999). “Non-linear analysis of underconstrained structures.” Int. J. Solids Struct., 36, 2175–2187.
Volokh, K. Yu.(2001). “Nonlinear analysis of pin-jointed assemblies with buckling and unilateral members.” Comp. Model. Eng. Sci., 2(3), 389–400.
Volokh, K. Yu., and Vilnay, O.(1997). “ ‘Natural,’ ‘kinematic’ and ‘elastic’ displacements of underconstrained structures.” Int. J. Solids Struct., 34, 911–930.
Wolfram, S. (1991). Mathematica: A system for doing mathematics by computer, 2nd Ed., Addison-Wesley, New York.
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Published In
Journal of Engineering Mechanics
Volume 129 • Issue 2 • February 2003
Pages: 175 - 180
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Mar 17, 2000
Accepted: Jun 11, 2002
Published online: Jan 15, 2003
Published in print: Feb 2003
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