1.4.11 Random response of a cantilever subjected to base motion

Product: ABAQUS/Standard  

The purpose of this example is to verify the random response analysis procedure for a case where the structure is excited by base motion. The model is a steel cantilever attached to a stiff vibrating structure that subjects it to prescribed transverse acceleration with a given power spectral density. The results are compared with the analysis of Johnsen and Dey (1978).

Problem description

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The base motion is applied as an acceleration with the power spectral density function shown in Figure 1.4.11–2. Since the excitation is in one degree of freedom only, the correlation matrix is a unit matrix.

Results and discussion

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Reference

Figures

Figure 1.4.11–1 Steel cantilever subjected to base motion.

Figure 1.4.11–2 Base acceleration power spectral density.

Figure 1.4.11–3 Power spectral density of the displacement response at the tip of the cantilever.