A numerical procedure to optimize the sag bending process for car windscreens is proposed. In particular a simplified elastic model with geometric nonlinearities is considered. The optimization approach is based on the numerical resolution of an optimal control problem in nonlinear elasticity. The objective of the optimization is to match a desired shape by controlling the temperature distribution and minimizing a quadratic functional. Also, we define and analyze the finite element approximation of the optimality system and a gradient method for the solution of the resulting discrete variational inequality. Finally, numerical experiments for the simulation of the simplified model are discussed.
Manservisi S. (2000). Optimal control approach to an inverse nonlinear elastic shell problem applied to car windscreen design. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 189(2), 463-480 [10.1016/S0045-7825(99)00302-3].
Optimal control approach to an inverse nonlinear elastic shell problem applied to car windscreen design
Manservisi S.
2000
Abstract
A numerical procedure to optimize the sag bending process for car windscreens is proposed. In particular a simplified elastic model with geometric nonlinearities is considered. The optimization approach is based on the numerical resolution of an optimal control problem in nonlinear elasticity. The objective of the optimization is to match a desired shape by controlling the temperature distribution and minimizing a quadratic functional. Also, we define and analyze the finite element approximation of the optimality system and a gradient method for the solution of the resulting discrete variational inequality. Finally, numerical experiments for the simulation of the simplified model are discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
