caa a22 4500 463243897 CHVBK 20180405153320.0 cr unu---uuuuu 170326e20070801xx s 000 0 eng 10.1007/s00158-006-0069-z doi (NATIONALLICENCE)springer-10.1007/s00158-006-0069-z Analytical derivatives technology for structural shape design [Elektronische Daten] [Srikanth Akkaram, Jean-Daniel Beley, Bob Maffeo, Gene Wiggs] The ability to perform and evaluate the effect of shape changes on the stress and modal responses of components is an important ingredient in the "design” of aircraft engine components. The classical design of experiments (DOE)-based approach that is motivated from statistics (for physical experiments) is one of the possible approaches for the evaluation of the component response with respect to design parameters [Myers, Montgomery. Response surface methodology, process and product optimization using design of experiments. John Wiley and Sons, NY (1995)]. As the underlying physical model used for the component response is deterministic and understood through a computer simulation model, one needs to re-think the use of the classical DOE techniques for this class of problems. In this paper, we explore an alternate sensitivity-analysis-based technique where a deterministic parametric response is constructed using exact derivatives of the complex finite-element (FE)-based computer models to design parameters. The method is based on a discrete sensitivity analysis formulation using semi-automatic differentiation (Griewank, SIAM (2000), ADIFOR, Automatic Differentiation of FORTRAN codes http://www-unix.mcs.anl.gov/autodiff/ADIFOR/ ) to compute the Taylor series or its Pade equivalent for finite-element-based responses. Shape design or optimization in the context of finite element modeling is challenging because the evaluation of the response for different shape requires the need for a meshing consistent with the new geometry. This paper examines the differences in the nature and performance (accuracy and efficiency) of the analytical derivatives approach against other existing approaches with validation on several benchmark structural applications. The use of analytical derivatives for parametric analysis is demonstrated to have accuracy benefits on certain classes of shape applications. Springer-Verlag Berlin Heidelberg, 2006 Shape design optimization nationallicence Probabilistic methods nationallicence Finite element sensitivity analysis nationallicence Design of computer experiments nationallicence Akkaram Srikanth Energy and Propulsion Technologies, General Electric Global Research Center, K1 Building, Room 4B18A, 12309, Niskayuna, NY, USA aut Beley Jean-Daniel CADOE-ANSYS, ANSYS, Inc., Southpointe, 275 Technology Drive, 15317, Canonsburg, PA, USA aut Maffeo Bob General Electric Aviation, 1 Neumann Way, Mail Stop K105, 45215, Cincinnati, OH, USA aut Wiggs Gene General Electric Aviation, 1 Neumann Way, Mail Stop W26, 45215, Cincinnati, OH, USA aut Structural and Multidisciplinary Optimization Springer-Verlag 34/2(2007-08-01), 165-178 1615-147X 34:2<165 2007 34 158 https://doi.org/10.1007/s00158-006-0069-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-006-0069-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Akkaram Srikanth Energy and Propulsion Technologies, General Electric Global Research Center, K1 Building, Room 4B18A, 12309, Niskayuna, NY, USA aut NATIONALLICENCE 700 1- Beley Jean-Daniel CADOE-ANSYS, ANSYS, Inc., Southpointe, 275 Technology Drive, 15317, Canonsburg, PA, USA aut NATIONALLICENCE 700 1- Maffeo Bob General Electric Aviation, 1 Neumann Way, Mail Stop K105, 45215, Cincinnati, OH, USA aut NATIONALLICENCE 700 1- Wiggs Gene General Electric Aviation, 1 Neumann Way, Mail Stop W26, 45215, Cincinnati, OH, USA aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 34/2(2007-08-01), 165-178 1615-147X 34:2<165 2007 34 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer