Free Vibration Analysis of a Rotating Composite Shaft Using the <svg style="vertical-align:-3.294pt;width:11.0875px;" id="M1" height="14.1125" version="1.1" viewBox="0 0 11.0875 14.1125" width="11.0875"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,14.1125)">
		<g transform="translate(72,-60.71)">
			<text transform="matrix(1,0,0,-1,-71.95,64.04)">
				<tspan style="font-size: 17.93px; " x="0" y="0">𝑝</tspan>
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		</g>
	</g>
</svg>-Version of the Finite Element Method

<table>  The first backward (1B) and forward (1F) bending mode of a composite
shaft for different boundary
conditions and different rotating speeds (S: simply supported; C: clamped; F: free).</table>

International Journal of Rotating Machinery

fig10

Figure 10

Figure 10: Free Vibration Analysis of a Rotating Composite Shaft Using the <svg style="vertical-align:-3.294pt;width:11.0875px;" id="M1" height="14.1125" version="1.1" viewBox="0 0 11.0875 14.1125" width="11.0875"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,14.1125)">
		<g transform="translate(72,-60.71)">
			<text transform="matrix(1,0,0,-1,-71.95,64.04)">
				<tspan style="font-size: 17.93px; " x="0" y="0">𝑝</tspan>
			</text>

		</g>
	</g>
</svg>-Version of the Finite Element Method 

International Journal of Rotating Machinery

Free Vibration Analysis of a Rotating Composite Shaft Using the 𝑝 -Version of the Finite Element Method

Figure 10

Free Vibration Analysis of a Rotating Composite Shaft Using the -Version of the Finite Element Method