An Investigation on the Nonlinear Free Vibration Analysis of Beams with Simply Supported Boundary Conditions Using Four Engineering Theories

<table>Variation of the critical buckling load<svg height="14.7125" id="M154" style="vertical-align:-3.22281pt" version="1.1" viewbox="0 0 43.375 14.7125" width="43.375" xmlns="http://www.w3.org/2000/svg">
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</svg> versus slenderness ratio for different beam models (- - -) Bernoulli-Euler’s and Rayleigh’s, (—) shear and Timoshenko’s beam models.</table>

Journal of Applied Mathematics

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Figure 7

Figure 7: An Investigation on the Nonlinear Free Vibration Analysis of Beams with Simply Supported Boundary Conditions Using Four Engineering Theories 

Figure 7 | An Investigation on the Nonlinear Free Vibration Analysis of Beams with Simply Supported Boundary Conditions Using Four Engineering Theories 