P. Eberhard, ANALYSIS AND OPTIMIZATION OF COMPLEX MULTIBODY SYSTEMS USING ADVANCEDSENSITIVITY ANALYSIS-METHODS, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 40-43
The multibody system approach is widely used for analyzing the dynamic
behavior of systems, and several programs are available for this task
. But there is still a lack of tools for synthesizing nonlinear dynami
c systems systematically. Synthesis requires an optimal choice of the
system parameters with respect to a given performance measure. The pro
blem formulation for complex systems, e.g. in vehicle dynamics or robo
tics, often leads to a large set of equations and therefore the optimi
zation has to be efficient. A serious problem is, that fast converging
optimization algorithms like the SQP methods always require the calcu
lation of sensitivity functions. Modern approaches like the adjoint va
riable method or automatic differentiation offer the design engineer v
aluable tools to calculate these gradients in a reliable and efficient
way. In the paper components of the program environment NEWOPT/AIMS w
ill be presented, which supports the engineer in modeling, simulation,
visualization and optimization with a main emphasis on the sensitivit
y analysis.