An optimal method of shape control for deformable structures with an application to a mechanically reconfigurable reflector antenna

作者：Yoon Hwan Sik^*; Washington Gregory

来源：Smart Materials and Structures, 2010, 19(10): 105004.

DOI：10.1088/0964-1726/19/10/105004

An unconstrained shape error minimization problem is formed for a flexible deformable structure and its solution is obtained analytically. Shape error minimization for deformable structures is encountered in many performance-enhancing shape control problems. Using finite element modeling, the deformation of the structure is expressed in terms of actuation values of a set of actuators. Then, minimization of the shape error between a desired shape and an actual shape of the structure is mathematically analyzed. Using the necessary condition for the existence of an extremum, optimal actuation values for the minimum shape error are obtained. The validity of the optimal solution is verified by applying the result to a simple longitudinally actuated one-dimensional bar. Then, the same method is applied to a mechanically deformable reflector antenna structure. For this complex structure, both the uniqueness of the optimal solution and the effect of increasing the number of actuators are graphically illustrated as well as quantitatively evaluated.

• 出版日期2010-10