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An Experimental Approach for Evaluating Harmonic Frequencies of a Flexible Beam

Weining Feng and Alberto Gomez-Rivas

Engineering Technology Department, UH-Downtown

Abstract

This paper presents a simple experimental approach that can be used to evaluate lower- order harmonic frequencies of a flexible beam. The beam was simply excited by a tap at a specific point, and the beam vibration was detected by a piezoelectric accelerometer. The vibration data was acquired and analyzed in the frequency domain. With proper choices of sampling frequency and the locations of the sensor, the frequency modes of a flexible beam can be estimated via frequency domain analysis.

Introduction

The transverse vibration of a simply supported beam (Figure 1) has been thoroughly studied in a number of literatures, such as in [1] and [2] as well as the references included therein. The vibration study of a flexible beam highlights the relationship between the beam dynamic characteristics and its material properties. The fundamental frequency of the beam is given in [1] as

EI (1) f1 = K 1 L4 ρA where E = beam modulus of elasticity I = beam moment of inertia ρ = beam mass density, and A = beam cross-sectional area

δ S δ

L Figure 1: A simply supported beam with symmetric overhang (L - beam length, S - span between the two support points, δ - overhang length)

Proceedings of the 2005 American Society for Engineering Education Annual Conference & Exposition Copyright  2005, American Society for Engineering Education

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Feng, W., & Gomez-Rivas, A. (2005, June), An Experimental Approach For Evaluating Harmonic Frequencies Of A Flexible Beam Paper presented at 2005 Annual Conference, Portland, Oregon. 10.18260/1-2--14805