A Chebyshev Spectral Method with Null Space Approach for Boundary-Value Problems of Euler-Bernoulli Beam

<div>The first three normalized mode shapes of a cantilever cone beam with different taper ratio of the beam (<i>α</i>).</div>

Shock and Vibration

Figure 9: A Chebyshev Spectral Method with Null Space Approach for Boundary-Value Problems of Euler-Bernoulli Beam 