@TechReport{Schmit1965,
    author      = {Schmit, Lucien A. and Thornton, William A.},
    title       = {Synthesis of an Airfoil at Supersonic {Mach} Number},
    institution = {NASA},
    month       = {January},
    number      = {CR 144},
    year        = {1965},
    abstract    = {Synthesis has been defined as the rational directed evolu- tion of a system configuration which, in terms of a defined criterion, efficiently performs a set of specified functional purposes. This document presents the application of the syn- thesis concept to a system with an aeroelastic technology, Specifically, the system is a hollow symmetric double wedge air- foil. There are two design variables; airfoil thickness and chord length. Behavior constraints are root angle of attack, tip deflection, flutter Mach number, and root stress. Side constraints of the design parameters are provided. The basic criterion function is the total energy required to drive the airfoil through a sequence of flight conditions. Trade off of weight versus energy is studied using airfoil weight as an additional behavior constraint. The gradient steep-descent alternate step synthesis method is used. Numerical results of three example syntheses and a trade-off study are included. The results
                  indicate that the synthesis concept may be applied successfully to an aeroelastic system. The study should be extended to consider the system as a plate structure rather than assuming beam type structural action.}
}

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