Optimal design of a plate of variable thickness: a variational approach in dimension one
نویسندگان
چکیده
For a typical design problem of a plate of variable thickness, we analyze the onedimensional situation through a variational reformulation to discover that, in contrast with the higher dimensional case, there are optimal solutions. Another typical interpretation of this simplification is that of the optimal shape of a bending beam. The mechanism employed for the existence issue is the direct method for the new formulation. Optimality conditions are then pursued. Mathematical subject classification: 49J15, 49J45, 49K15, 74K20, 74P05.
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