ANALYSIS OF LARGE SPACE STRUCTURES

SERGE ABRATE, Purdue University

Abstract

Typically, large space structures are latticed beams or plates made up of a very large number of elements assembled in a periodic pattern with overall dimensions possibly measured in miles. Efficient dynamic models are needed for design, optimization, and control problems. In this dissertation, harmonic wave propagation analysis is used to determine the limits of applicability of the simple continuum models. Several equivalent continuum models are developed and evaluated comparatively. The range of validity of these continuum models is established in terms of wavelength. The presence of modes which are not predicted by the simple models is detected by considering a typical cell of the original structure. Procedures for including damping in the simple models are presented. Viscous, hysteretic, and a three-parameter type damping models are discussed. The analysis of geometrically nonlinear trusses is performed, and the continuum beam models are shown to be efficient and accurate for both static and dynamic problems.

Degree

Ph.D.

Subject Area

Mechanics

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