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<a name = "hj-top"> </a><table class = "table1" id = "table11"><tr><td><table class = "DocHeader"><tr><td class = "DocHeader1" colspan = "2"><h1>Discussion of the Bonnet Example Results</h1></td></tr><tr><td class = "DocHeader4" colspan = "2"/></tr><tr><td class = "DocHeader3" colspan = "2"><table class = "DocThemeIntro" id = "table12"><tr><td class = "Intro1Only"><p class = "shortdesc">The resulting structure of the MINMAX formulation looks totally different compared to the
standard formulation. The reason for these differences becomes
obvious if the compliances of the different <span class = "ph">load cases</span> are
compared.


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<p> The MIN formulation ends up with a lesser total compliance of the sum of all 
<span class = "ph">load cases</span>, but the
<span class = "ph">load cases</span> 
with the smaller loads have a compliance that is lesser (higher stiffness) than the load
case with the doubled load in the middle of the structure. 
<br/><img class = "image" src = "../TsoExampleImages/sensTopoBonnetResultDiscMin.png"/><br/></p>
<p>The result of the MINMAX formulation shows a higher total compliance, but the compliances of all
<span class = "ph">load cases</span> 
	are equal, which means that the structure can handle all 
<span class = "ph">load cases</span> 
	in the same effective way. It is impossible to reduce the compliance for one 
	<span class = "ph">load case</span> 
	without increasing the compliance for another 
	<span class = "ph">load case</span>. 
	This solution represents one point on a Pareto optimality front. 
	<br/><img class = "image" src = "../TsoExampleImages/sensTopoBonnetResultDiscMinMax.png"/><br/></p>
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