Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous Dampers

A homotopy method for determining the eigenvalues of locally or non-locally reacting acoustic liners in flow ducts

This paper presents a unified algorithm for studying the eigenvalue problem of a lined duct using the homotopy method. Results from various validations show that the method developed in this work can provide accurate and reliable numerical solutions for sound-propagation computation. The investigation also indicates that homotopy methods not only overcome the computational difficulties of the e...

TOPOLOGICALLY STATIONARY LOCALLY COMPACT SEMIGROUP AND AMENABILITY

In this paper, we investigate the concept of topological stationary for locally compact semigroups. In [4], T. Mitchell proved that a semigroup S is right stationary if and only if m(S) has a left Invariant mean. In this case, the set of values ?(f) where ? runs over all left invariant means on m(S) coincides with the set of constants in the weak* closed convex hull of right translates of f. Th...

Non-commutative locally convex measures

We study weakly compact operators from a C∗-algebra with values in a complete locally convex space. They constitute a natural non-commutative generalization of finitely additive vector measures with values in a locally convex space. Several results of Brooks, Sâıto and Wright are extended to this more general setting. Building on an approach due to Sâıto and Wright, we obtain our theorems on no...

P-Amenable Locally Compact Hypergroups

Homogenization of periodic elastic composites and locally resonant sonic materials

A method for homogenization of an elastic composite with periodic microstructure is presented, focusing on the Floquet-type elastic waves. The resulting homogenized frequency-dependent elasticity and mass density then automatically satisfy the overall conservation laws and by necessity produce the exact dispersion relations. It is also shown that the dispersion relations and the associated fiel...