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<span class = "shortdesc">Sizing is a tool to optimize sheet metal components through
modification of sheet thicknesses. It is mostly applied at a later stage
of the development process when the general layout of a component (that is,
the topology) is more or less fixed. </span>

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<p>Starting with the design area (which represents the sheet structures
to be modified) and with the boundary conditions, such as loads, fixtures
and manufacturing conditions, the optimization system will determine
a new thickness distribution by modification of the shell thicknesses
in the design area. This design proposal should fulfill all mechanical
requirements and often represents a weight-optimal design proposal.
Sizing with <span class = "ph">Tosca Structure</span>
allows changes for each single shell element in the model as well as
clustering of thicknesses, that is, simultaneous modification of shell thicknesses
for specific areas. </p>

<p>For the optimization, the following constraints and objectives can
be applied: </p>
<ul class = "ul">
<li class = "li">stiffness (compliance and displacements);</li>
<li class = "li">eigenfrequencies;</li>
<li class = "li">internal and reaction forces;</li>

<li class = "li">weight, volume;</li>
<li class = "li">center of gravity;</li>
<li class = "li">moment of inertia.</li>

</ul>
<p>Different constraints can be defined, like member size constraints, freezing
of parts, symmetry, and different coupling constraints.</p>
<p>As a result, the optimization creates a design proposal with new shell
thicknesses. This design proposal can then be transferred back to your
CAD system. The following figures demonstrate sizing for chassis components.  </p>
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