MODELING OF DYNAMIC NETWORKS OF THIN THERMOELASTIC BEAMS

Langnese JE, Leugering G, Schmidt EJPG (1993)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 1993

Journal

Mathematical Methods in the Applied Sciences Wiley

Publisher: Wiley-Blackwell

Book Volume: 16

Pages Range: 327-358

Journal Issue: 5

URI: http://onlinelibrary.wiley.com/doi/10.1002/mma.1670160503/full

DOI: 10.1002/mma.1670160503

Abstract

We derive a distributed-parameter model of a thin non-linear thermoelastic beam in three dimensions. The beam can also be initially curved and twisted. Our main task is to formulate the non-homogeneous initial, boundary and node value problem associated with the dynamics of a network of a finite number of such beams. The emphasis here is on a distributed-parameter modelling of the geometric and kinematic node conditions. The forces and couples appearing in the boundary and node conditions can then be viewed as control variables. The analysis of the resulting control systems and their controllability and stabilizability properties is the subject of [25] and of forthcoming papers.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

McGill University CA Canada (CA)

How to cite

APA:

Langnese, J.E., Leugering, G., & Schmidt, E.J.P.G. (1993). MODELING OF DYNAMIC NETWORKS OF THIN THERMOELASTIC BEAMS. Mathematical Methods in the Applied Sciences, 16(5), 327-358. https://doi.org/10.1002/mma.1670160503

MLA:

Langnese, John E., Günter Leugering, and E. J. P. Georg Schmidt. "MODELING OF DYNAMIC NETWORKS OF THIN THERMOELASTIC BEAMS." Mathematical Methods in the Applied Sciences 16.5 (1993): 327-358.

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