Mixed Static and Dynamic Optimization of Four-Parameter Functionally Graded Completely Doubly Curved and Degenerate Shells and Panels Using GDQ Method

<table>Elliptic paraboloid: Particle Swarm Optimization with  <svg height="15.35" id="M526" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 48.137501 15.35" width="48.137501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>; final optimized frequency <svg height="16.6625" id="M527" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 106.1125 16.6625" width="106.1125" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> and final optimized displacement <svg height="16.1625" id="M528" style="vertical-align:-0.20474pt" version="1.1" viewbox="0 0 134.14999 16.1625" width="134.14999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>.</table>

Mathematical Problems in Engineering

fig22

Figure 22

Figure 22: Mixed Static and Dynamic Optimization of Four-Parameter Functionally Graded Completely Doubly Curved and Degenerate Shells and Panels Using GDQ Method 

Figure 22 | Mixed Static and Dynamic Optimization of Four-Parameter Functionally Graded Completely Doubly Curved and Degenerate Shells and Panels Using GDQ Method 