Abstract
Under certain natural conditions the dynamics of large, low mass lattice structures with a regular infrastructure are well approximated by the dynamics of continua, e.g., trusses may be modeled by beam equations. Using a technique from the mathematics of asymptotic analysis called homogenization, we show how such approximations may be derived in a systematic way which avoids errors made using “direct” averaging methods. We also develop a model for the combined problem of homogenization and control of vibrations in lattice structures and present some preliminary analysis of this problem.
Supported in part by AFOSR Contract No: F49629–84-C-0115 at Systems Engineering, Inc., Greebelt, MD.
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© 1988 Springer-Verlag New York Inc.
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Blankenship, G.L. (1988). Applications of Homogenization Theory to the Control of Flexible Structures. In: Fleming, W., Lions, PL. (eds) Stochastic Differential Systems, Stochastic Control Theory and Applications. The IMA Volumes in Mathematics and Its Applications, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8762-6_3
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DOI: https://doi.org/10.1007/978-1-4613-8762-6_3
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