Nonlinear Forced Vibration of a Viscoelastic Buckled Beam with 2 : 1 Internal Resonance

<table>Time history response of quarter point under second primary resonance (a) at <svg height="11.125" id="M193" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 66.287498 11.125" width="66.287498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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t-44.5 92.5q0 46 38 78t95 45v2q-35 10 -54.5 33t-19.5 52q0 55 53 88.5t122 33.5q67 0 98.5 -23.5t31.5 -49.5z" id="x1D700"></path></g><g transform="matrix(.017,-0,0,-.017,7.032,10.963)"><path d="M548 455q-32 -77 -74 -77q-37 0 -103 10l-3 -2q36 -30 48.5 -62t12.5 -80q0 -103 -75 -179.5t-175 -76.5q-70 0 -113 45t-43 128q0 115 83.5 200.5t209.5 85.5q31 0 77.5 -4t67.5 -4q36 0 62 30zM350 274q0 54 -17 86q-19 35 -57 35q-50 0 -90 -37.5t-59 -91.5t-19 -109
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</svg>.</table>

Mathematical Problems in Engineering

fig11

Figure 11

Figure 11: Nonlinear Forced Vibration of a Viscoelastic Buckled Beam with 2 : 1 Internal Resonance 