Wave Propagation in Hyper-Structuresby M. Ettouney, WEIDLINGER Associates, United States,
H. Benaroya, WEIDLINGER Associates, United States,
J. Wright, WEIDLINGER Associates, United States,
Abstract: The concept of hyperelement was introduced by E. Kausel and J.M. Roesset, 1977 in connection with the derivation of the dynamic stiffness matrix for layered continuum problems involving two widely separated boundaries. Their approach is extended here and the term hyperstructure is used in an analogous way for structural systems with a large number of periodically spaced, identical structures. For these structures, it is shown that the steady state responses can be calculated more accurately and with fewer operations when compared to more general methods. In order to demonstrate the method, two planar systems are analyzed.
Subject Headings: Structural systems | Stiffening | Matrix (mathematics) | Layered systems | Continuum mechanics | Domain boundary | System analysis | Boundary element method
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