AN INVERSE METHOD FOR THE DESIGN OF STRUCTURES THAT WILL DEFORM AND ACQUIRE PRE-SPECIFIED DESIRED SHAPES

LIMACHE A.C.

Buenos Aires, Argentina

Conferencia; III Internat. Conf. on Approx. Methods for Design and Control (ICAMDC 2009); 2009

Asoc. Arg. de Matemática Aplicada, Comp. e Industrial

Inverse methods are useful tools that allow engineers to obtain efficient designs at much lower costs than the ones normally involved in empirical manufacture and in computational direct methods. Here, we present an inverse method for the design of structures that when deformed will adquire pre-specified ideal shapes. The method can be used in airplane wing design, for example. In this problem, if one has a good aerodynamical wing’s geometry, in a real flight and because of the aerodynamic loads,the wing’s structure will deform changing its original geometry and consequently loosing many of its desired behavior. The inverse method presented here can be used to remedy such class of problems: the method can determine, exactly, the undeformed wing’s geometry that needs to be manufactured such, when being in a real flight, the wing will naturally deform to the pre-specified (and aerodynamically desired) shape. The presented inverse method is based on a novel formulation builded in terms of the finite element method.