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Optimization
is a mathematical procedure for minimizing or maximizing a
function of independent variables subject to constraints on
other functions or the variables themselves.
In mechanical design, these functions are measures of goodness
of the design such as safety, efficiency or serviceability and
depend on a set of changeable parameters. Optimization is
usually applied to responses as produced by mathematical models,
e.g. finite element models. During the optimization process the
parameters are systematically changed using an algorithm.
There are two basic areas of application of optimization in
Mechanical Design:
1.
Optimal Design. This is a
procedure whereby a mechanical design is optimized with the
purpose of achieving the best performance. Various types of
parameters can be changed namely sizes (such as thickness),
shape or material properties. An example is the optimization
of structural measurements of a vehicle frame for the purpose
of achieving maximal crashworthiness.
2. System identification. This is a procedure whereby
unknown properties of a system are identified using
experimental response data. A typical objective is to minimize
the discrepancy between the responses of the model and those
of the experiments. For instance, material parameters of a
sample can be determined from acceleration or force
measurements during impact.
Livermore
Software Technology Corporation's LS-Opt allows the user to
structure the design process, explore the design space and
compute optimal designs according to specified constraints and
objectives. LS-OPT is included with LS-DYNA and LS-PrePost
at no additional fees.
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