## 3aSA2. Modeling issues for fuzzy internals connected to the master structure at multiple points.

### Session: Wednesday Morning, December 4

### Time: 8:20

**Author: Allan D. Pierce**

**Location: Boston Univ., Dept. of Aerosp. and Mech. Eng., 110 Cummington St., Boston, MA 02215**

**Abstract:**

The present paper considers a sequence of modeling problems involving
idealized mechanical attachments that are connected to an external elastic
structure at either a single point or a number of points. Previous analyses for
cases when the attachments were rods and beams are reviewed along with the
fuzzy-structure idealization that considers the mass per unit natural frequency
to be continuous, and in which the asymptotic high-frequency limit is taken.
Although the first approximation to this limit leads to a divergent integral for
the frequency-dependent effective mass contributed by the internal structure, it
is possible to obtain realistic high-frequency limits with incorporation of the
knowledge of the total mass of the appendage. The remainder of the paper
concentrates on two-dimensional elastic bodies, especially plates, that are
connected to the master structure at one or more places, and explores the
asymptotic tendencies of the elements of the modal mass matrix and the
circumstances in which the number of attachments may be effectively blurred as a
continuous distribution of nonconnected one-dimensional fuzzy attachments. [Work
supported by the Office of Naval Research.]

ASA 132nd meeting - Hawaii, December 1996