Abstract
Forced systems with impacts upon one- or two-sided rigid stops are commonly encountered in engineering. Examples include forced mechanical systems with clearances such as heat exchangers tubes under aerodynamic excitation (Whiston, 1987) as well as examples from offshore engineering such as the articulated mooring tower (Thompson, 1984) or moored ships on ocean waves (Thompson, 1986). Although environmental loading is of substantially stochastic nature, these models were considered as periodically forced systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Babitsky, V.l. (1998) Theory of Vibro-Impact Systems, Springer-Verlag, Berlin.
Dirnentberg, M. and Menyalov, A. (1987) Statistical dynamics of vibroimpact systems, in: G. Shueller and F. Ziegler (eds.), Nonlinear Stochastic Dynamics of Engineering Systems, Kluwer Academic Publishers, Dordrecht, pp. 57–65.
Gihman, I.I. and Skorohod, A.V. (1979) Theory of Stochastic Processes, Springer-Verlag, Berlin.
Kovaleva, A.S. (1990) Control for Oscillatory and Vibro-Impact Systems, Nauka, Moscow.(in Russian, English translation: Control for Mechanical Oscillations, Springer-Verlag, Berlin, in press).
Kovaleva, A.S. (1993) Decomposition of motions in stochastic nonlinear systems with a spinning phase, J. Appl. Math. Meck, 57, 237–245.
Kushner, H.J. (1984) Approximation and Weak Convergence Methods for Random Processes, with Applications to Stochastic System Theory, The MIT Press, Cambridge, MA.
Meirovitch, L. (1990). Dynamics and Control of Structures, Springer-Verlag, Berlin.
Thompson, J.M.T., Bokaian, A.R. and Ghaffari, R. (1984) Subharmonic and chaotic motions of compliant offshore structures and articulated motion towers, J. Energy Resources Technol., 106, 191–198.
Thompson, J.M.T. and Stuart, H.B. (1986) Nonlinear Dynamics and Chaos, John Wiley & Sons, Chichester.
Whiston, G.S. (1987) The vibroimpact response of a harmonically excited and preloaded one dimensional linear oscillator, J. of Sound and Vibrations, 118, 395–429.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Kovaleva, A.S. (1999). Response of Secondary Structures in Stochastic Systems with Impacts. In: Pfeiffer, F., Glocker, C. (eds) IUTAM Symposium on Unilateral Multibody Contacts. Solid Mechanics and its Applications, vol 72. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4275-5_12
Download citation
DOI: https://doi.org/10.1007/978-94-011-4275-5_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5853-7
Online ISBN: 978-94-011-4275-5
eBook Packages: Springer Book Archive