Abstract
AbstractThe paper deals with a weight‐minimization problem of rectangular orthotropic flat panels placed in a high supersonic gas flow and subject to a flutter speed constraint. In‐plane compressive loads are taken into account. The problem is treated in the framework of the optimal control theory of distributed parameter systems. It is shown that the necessary optimality conditions are to be supplemented with a condition ensuring that the flutter speed of the optimal panel should coincide with the prescribed one. The general field equations governing the aeroelastic optimization problem are presented, and qualitative conclusions concerning the optimal thickness distribution are given. A few remarks on various methods for solving the field equations are also given.
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