Unconstrained Finite Element for Geometrical Nonlinear Dynamics of Shells

<table>Stress values for a quarter of the first turn (<svg height="14.85" id="M219" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 25.3375 14.85" width="25.3375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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t61.5 33.5t100 17.5q43 0 131.5 -2.5t129.5 -2.5q23 0 33.5 5t24.5 25z" id="x1D70B"></path></g><g transform="matrix(.017,-0,0,-.017,10.109,12.012)"><path d="M368 703l-264 -866h-60l265 866h59z" id="x2F"></path></g><g transform="matrix(.017,-0,0,-.017,17.112,12.012)"><path d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" id="x32"></path></g>
</svg>).</table>

Mathematical Problems in Engineering

fig9

Figure 9

Figure 9: Unconstrained Finite Element for Geometrical Nonlinear Dynamics of Shells 