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No previous studies have used a rigorous and systematic design optimization method to determine the optimal shape of TKR components.
We derive the shape gradient function by using the material derivative method and apply it to the free-form optimization method for determining the optimal shape.
The case studies confirmed the potential of the proposed optimization techniques for finding the optimal shape of piles in integral abutment bridges.
The optimal shape is found using parametric optimization.
A gradient-based optimization algorithm is used to obtain the optimal shape.
All these conditions are translated into equality or inequality restrictions which must be satisfied during the optimization process that is necessary in order to determine the optimal shape.
We formulate three isoperimetric, shape optimization problems associated with three different applications: i) the optimal shape of corrugations (surface "roughness"), ii) the optimal shape of high conductivity inserts (inverted fins) and iii) the optimal shape of high conductivity fins.
From a mathematical point of view, the optimal shape design and optimal control of a headbox leads to CFD-based optimization [2].
"To me, it's the optimal shape, and for the money, it's perfect," he said.
And he has carefully analyzed the optimal shape and volume of a Christmas tree stand.
These tweak the basic structure into the optimal shape, though some players preferred to do that by hand.Indeed, the team found that people tackle the same problems differently.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com