Citation:
Mohamed Tadjouddine, Shaun A. Forth & Andy J. Keane, Adjoint Differentiation of
a Structural Dynamics Solver. Automatic Differentiation: Applications, Theory,
and Implementations, Bücker, M.; Corliss, G.; Hovland, P.; Naumann, U.; Norris,
B. (Eds.), Lecture Notes in Computational Science & Engineering, Volume 50,
p309-319, 2006
Abstract:
The design of a satellite boom using passive vibration control by Keane [J. of
Sound and Vibration, 1995, 185(3),441-453] has previously been carried out using
an energy function of the design geometry aimed at minimising mechanical noise
and vibrations. To minimise this cost function, a Genetic Algorithm (GA) was
used, enabling modification of the initial geometry for a better design. To
improve efficiency, it is proposed to couple the GA with a local search method
involving the gradient of the cost function. In this paper, we detail the
generation of an adjoint solver by automatic differentiation via ADIFOR. This
has resulted in a gradient code that runs in 7.4 times the time of the function
evaluation. This should reduce the rather time-consuming process (over 10 CPU
days by using parallel processing) of the GA optimiser for this problem.
