A coupled controls/structures optimization procedure for the design of rotating composite box beams with piezoelectric actuators

Abstract

An optimization procedure is developed for controlslstructures interaction using a multiobjective formulation. A rotating composite cantilever box beam model is presented which includes piezoelectric strain actuators for vibration control. The model is implemented using the finite-element method. Multiple design objectives are efficiently combined using the Kreisselmeier-Steinhauser function approach. Actuator locations and ply stacking sequences are represented by discrete (0,l) variables while structuraVcontrol parameters such as box beam dimensions are continuous design variables. A transformation technique is used to formulate the combined continuoustdiscrete problem as a purely discrete problem. This allows both optimal actuator locations and structurallcontrol parameters to be determined inside a closed loop procedure. A technique based on simulated annealing is used for optimization in conjunction with an approximate analysis procedure to reduce computational effort. Nomenclature

<title>Aeroelastic tailoring using piezoelectric actuation and hybrid optimization</title>

“…WG wGrn (i _ cos(cjt)) 0 t tG where G 7Th tG j (15) Solving Eqn. 14 using the above gust model yields the expression for unsteady lift due to gust.…”

Optimum Design of Composite Structures: A Literature Survey (1969–2009)

“…In that case, using any local search algorithm becomes a feasible approach in locating the global optimum. Some researchers 67,127,275,384,439,501,628,639,644,741,754,787,859,882,894,926,938,976,984,993 used hybrid methods, in which two or more search algorithms are used together to combine their superior features. In many of the topological optimization studies, homogenization method 243,358,378,427,466,472,514,528,776,806,828,846,886,888,925,939,966,982 is used.…”

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Optimal Sizes and Placements of Piezoelectric Actuators and Sensors for an Inflated Torus

“…Also, a number of researchers have studied this problem for piezoelectric actuators and sensors attached to different shell-type structures. Most of the research in this area have been devoted toward beams (Yang and Lee, 1993;Main et al, 1994;Chattopadhyay and Seeley, 1995;Chen and Cao, 2000;Wang and Wang, 2001), plates (Kim and Jones, 1991;Clark and Fuller, 1992;Tzou and Fu, 1994;Varadan et al, 1997;Sadri et al, 1999), and cylindrical shell (Padula et al, 1998;Kim et al, 2001;Sun and Tong, 2001). Inflated toroidal shell (torus) is used as a main support structure for many space-based inflatable structures (Figure 1).…”