DSVM20

Modal Analysis for Beams

Overview

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Reference:Any basic Vibration Analysis book
Analysis Type(s):Modal Analysis
Element Type(s):Beam

Test Case

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Two collinear beams form a spring mass system. The density of the longer beam is kept very low so that it acts as a massless spring and the smaller beam acts as a mass. The end vertex of the longer beam (acting as a spring) is fixed. The cross section details are as shown below.

Find the natural frequency of the axial mode.

Figure 20.1  Cross Section Details for Both Beams

Figure 20.2  Schematic

Material Properties
MaterialE (Pa)νρ (kg/m3)
Spring1.1e110.341e-8
Mass2e1107.85e5
Geometric PropertiesLoading
Spring beam length = 500 mm
Mass beam length = 5 mm
 

Results Comparison

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ResultsTargetDSError (%)
Natural Frequency of Axial Mode (Hz)1188.61190.50.160
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