Langnese JE, Leugering G, Schmidt EJPG (1994)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 1994
Publisher: Cambridge University Press (CUP)
Book Volume: 124
Pages Range: 77-104
DOI: 10.1017/S0308210500029206
In this paper a general linear model for vibrating networks of one-dimensional elements is derived. This is applied to various situations including nonplanar networks of beams modelled by a three-dimensional variant on the Timoshenko beam, described for the first time in this paper. The existence and regularity of solutions is established for all the networks under consideration. The methods of first-order hyperbolic systems are used to obtain estimates from which exact controllability follows for networks containing no closed loops.
APA:
Langnese, J.E., Leugering, G., & Schmidt, E.J.P.G. (1994). ON THE ANALYSIS AND CONTROL OF HYPERBOLIC SYSTEMS ASSOCIATED WITH VIBRATING NETWORKS. Proceedings of the Royal Society of Edinburgh Section A-Mathematics, 124, 77-104. https://doi.org/10.1017/S0308210500029206
MLA:
Langnese, John E., Günter Leugering, and E. J. P. Georg Schmidt. "ON THE ANALYSIS AND CONTROL OF HYPERBOLIC SYSTEMS ASSOCIATED WITH VIBRATING NETWORKS." Proceedings of the Royal Society of Edinburgh Section A-Mathematics 124 (1994): 77-104.
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