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

<table>A plane-parabola type bimetallic shell at the moment of the upper snap-through at the temperature <svg height="10.9125" id="M353" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 51.549999 10.9125" width="51.549999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
<tspan style="font-size: 12.50px; " x="10.339981" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.380369" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="28.63187" y="0">8</tspan>
<tspan style="font-size: 12.50px; " x="34.883369" y="0">0</tspan>
</text>
</g>
</g>
</svg>°C and height ratio <svg height="13.55" id="M354" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 54.412498 13.55" width="54.412498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
<g transform="translate(72,-61.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜉</tspan>
<tspan style="font-size: 12.50px; " x="9.5022802" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.542669" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="27.794168" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="30.919918" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="37.171417" y="0">8</tspan>
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</svg>.</table>

Mathematical Problems in Engineering

fig21

Figure 21

Figure 21: Stability of the Shallow Axisymmetric Parabolic-Conic Bimetallic Shell by Nonlinear Theory 