Stability of the Shallow Axisymmetric Parabolic-Conic Bimetallic Shell by Nonlinear Theory

<table>The shape of the shell at the moment of the upper snap-through when loaded with a force <svg height="10.9125" id="M361" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 56.525002 10.9125" width="56.525002" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝐹</tspan>
<tspan style="font-size: 12.50px; " x="11.190185" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="23.230574" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="29.482075" y="0">7</tspan>
<tspan style="font-size: 12.50px; " x="35.733574" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="38.859325" y="0">7</tspan>
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</svg> N and temperature <svg height="14.8875" id="M362" style="vertical-align:-3.21404pt" version="1.1" viewbox="0 0 49.549999 14.8875" width="49.549999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.8875)">
<g transform="translate(72,-60.09)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
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<text transform="matrix(1,0,0,-1,-65.07,60.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑢</tspan>
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<text transform="matrix(1,0,0,-1,-56.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">6</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">5</tspan>
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</svg>°C.</table>

Mathematical Problems in Engineering

fig24

Figure 24

Figure 24: Stability of the Shallow Axisymmetric Parabolic-Conic Bimetallic Shell by Nonlinear Theory 