Accession Number : ADA130372

Title :   Forced Vibration of Timoshenko Beams Made of Multimodular Materials.

Descriptive Note : Technical rept.,

Corporate Author : OKLAHOMA UNIV NORMAN SCHOOL OF AEROSPACE MECHANICAL AND NUCLEAR ENGINEERING

Personal Author(s) : Gordaninejad,F ; Bert,C W

PDF Url : ADA130372

Report Date : Jun 1983

Pagination or Media Count : 35

Abstract : This paper presents a transfer-matrix analysis for determining the sinusoidal vibration response of thick, rectangular-cross-section beams made of multimodular materials (i.e., materials which have different elastic behavior in tension and compression, with nonlinear stress-strain curves approximated as piecewise linear). An experimentally determined stress-strain curve for aramid-cord rubber is approximated by four straight-line segments (two segments in tension and two segments in compression). To validate the transfer-matrix results, a closed-form solution is also presented for the special case in which the neutral-surface location is uniform along the length of the beam. Also, comparisons are made among multimodular, bimodular (two line segments), and unimodular models. Numerical results for axial displacement, transverse deflection, bending slope, bending moment, transverse shear and axial forces, and the location of the neutral surface are presented for the multimodular model. Effects of translatory and rotatory inertia coefficients on axial force are investigated for a clamped-clamped beam. Moreover, natural frequencies associated with the first three modes of a clamped-free beam are presented. Transfer-matrix results agree very well with the closed-form results for the corresponding material model (one, two, or four segments).

Descriptors :   *Synthetic rubber, *Stress strain relations, *Modulus of elasticity, Vibration, Structural response, Mathematical analysis, Graphs, Timoshenko beam, Matrices(Mathematics), Loads(Forces)

Subject Categories : Elastomers and Rubber
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE