MTRL 280 Lecture Notes - Lecture 7: Pareto Efficiency, Logarithmic Scale, Linear Combination

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Each constraint gives rise to an equation that must be optimized. When we impose our constraint, the solution that we nd provides the minimum required to satisfy this design. If we select a material based on multiple use of materials selection charts, then we risk choosing a material that will not satisfy all of our constraints. Through the use of analytical method, we can ensure that all constraints are met by choosing the value of free variable that will meet or exceed the requirements for all constraints. Can look at the results graphically to select the best material satisfying problems with two constraints. Requires computer software and a material property database. Have to make an initial arbitrarily cut off list of materials to look at with the analytical method. One can"t be sure how sensitive the results will be to the number of materials admitted to the short list.

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