Time-Dependent Reliability-Based Design Optimization Utilizing Nonintrusive Polynomial Chaos

<table class="table-group" id="tab7"><tr><td><table class="table"><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr class="thead"><td align="left">Type</td><td align="center"><span style="width: 22.9375px;"><svg height="15.25" id="M166" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 22.9375 15.25" width="22.9375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> (mm)</td><td align="center"><svg height="15.4" id="M169" style="vertical-align:-3.39069pt" version="1.1" viewbox="0 0 31.0375 15.4" width="31.0375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> (mm)</td><td align="center">Mean of total weight  (kg)</td><td align="center">Variance of total weight</td></tr><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr><td align="left">Time-independent RBDO</td><td align="center">1235.01</td><td align="center"><span style="width: 54.775002px;"><svg height="11.125" id="M170" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 54.775002 11.125" width="54.775002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td><td align="center">22.45</td><td align="center">45.24</td><td align="center">15.3631</td><td align="center">0.2383</td></tr><tr><td align="left">Time-dependent RBDO</td><td align="center">1239.28</td><td align="center"><span style="width: 54.775002px;"><svg height="11.175" id="M171" style="vertical-align:-0.20474pt" version="1.1" viewbox="0 0 54.775002 11.175" width="54.775002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td><td align="center">22.85</td><td align="center">47.19</td><td align="center">15.9832</td><td align="center">0.3369</td></tr><tr class="table-tr"><td colspan="7"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Comparison of optimal design results between time-independent RBDO and proposed time-dependent RBDO.

Journal of Applied Mathematics

tab7

Table 7

Table 7: Time-Dependent Reliability-Based Design Optimization Utilizing Nonintrusive Polynomial Chaos 