Affiliations: Escola Superior de Tecnologia, Setúbal,
Portugal | Departamento de Engenharia Mecânica, Instituto
Superior Técnico, Lisboa, Portugal
Note: [] Corresponding author: P.P. Moita, Escola Superior de Tecnologia,
Campus do IPS, 2914-508, Setúbal, Portugal. E-mail:
paulo.moita@estsetubal.ips.pt
Abstract: This paper presents an integrated approach to optimize for design
and control of mechanical systems with random input parameters. Random
parameters are represented by probability density functions. A numerical
technique defining directly the representative values and the associated
probabilities is implemented by modeling the stochastic parameters as
generalized Wiener processes. The Monte Carlo¡¯s method is also
implemented to deal with correlated parameters. A design and control
sensitivity analysis optimization formulation is derived. A conceptual
separation between time variant and time invariant design parameters is
presented, this way including the design space into the control space and
considering the design variables as control variables not depending on time. By
using time integrals through all the derivations, the design and control
problems are unified. In the optimization process we can use both types of
variables simultaneously or by interdependent levels. The dynamic response is
modeled via space and time finite elements, and is integrated either by at-once
integration or step-by-step. The formulation is applied to a numerical
example.
Keywords: Space-time finite elements, adjoint system, stochastic modeling, wiener processes
