Sensitivity analysis – methods and applications
Danuta Szeliga
AGH University of Science and Technology.
DOI:
https://doi.org/10.7494/cmms.2005.4.0081
Abstract:
Literature review of sensitivity analysis methods and applications is presented in the paper. Sensitivity analysis is applied to the problems of input data and model parameters uncertainty and to model validation. Definition of structures, initial and boundary conditions, and model testing: calibration, determination of independent variables, is discussed. The algorithm of the sensitivity analysis dedicated to the direct problem of the inverse analysis for identification of material parameters was developed in the second part of the work. Sensitivity analysis of the material flow in the ring compression test with respect to the friction coefficient is described as an example.
Cite as:
Szeliga, D. (2005). Sensitivity analysis – methods and applications. Computer Methods in Materials Science, 5(4), 170 – 178. https://doi.org/10.7494/cmms.2005.4.0081
Article (PDF):
Keywords:
References:
Avitzur B. (1968). Metal Forming: Processes and Analysis. McGraw Hill.
Boer de, H., Keulen van, F. (2000). Refined semianalytical design sensitivities. Int. J. Solids Structures, 37, 6961-6980.
Box, G.E.P., Hunter, W.G., Hunter, J.S. (1978). Statistics for Experimenters. An Introduction to Design, Data Analysis and Model Building, Wiley.
Chen, C.C., Kobayashi, S. (1978). Rigid – Plastic Finite – Element Analysis of Ring Compression. Application of Numerical Methods to Forming Processes, ASME, ADM, 28, 163-174.
Daniel, C. (1973). One-at-a-time plans. J. Am. Statist. Assoc., 68, 353-360.
Dunker, A.M. (1981). Efficient calculation of sensitivity coefficients for complex atmospheric models. Atmos. Environ., 15, 1155-1161.
Dunker, A.M. (1984). The decoupled direct method for calculating sensitivity coefficients in chemical kinetics. J. Chem. Phys., 81, 2385-2393.
Ghouati, O., Gelin, J.C. (1998). Identification of material parameters directly from metal form-ing processes. J. Mat. Proc. Techn., 80-81, 560-564.
Kima, S.H., Huhb, H. (2002). Design sensitivity analysis of sheet metal forming processes with a direct differentiation method. J. Mat. Proc. Techn., 130-131, 504-510.
Kleiber, M., Antunez, H., Hien, T.D., Kowalczyk, P. (1997). Parameter Sensitivity in Nonlinear Mechanics. J. Wiley.
Kobayashi, S., Oh, S., Altan, T. (1989). Metal Forming and the Finite-Element Method. Oxford University Press, New York.
Kramer, M.A., Calo, J.M., Rabitz, H. (1981). An improved computational method for sensitivity analysis: Green's function method with "AIM". Appl. Math. Modelling, 5, 432-441.
Lenard, J.G., Pietrzyk, M., Cser, L. (1999). Mathematical and Physical Simulation of the Properties of Hot Rolled Products. Elsevier, Amsterdam.
Picart, P., Ghouati, O., Gelin, J.C. (1998). Optimization of metal forming process parameters with damage minimization. J. Mat. Proc. Techn., 80-81, 597-601.
Poldneff, M.J., Arora, J.S. (1996). Design Sensitivity Analysis in Dynamic Thermoviscoelasticity with Implicit Integration. Int. J. Solids Structures, 33, 577-594.
Saltelli, A., Chan, K., Scott, E.M. (2001). Sensitivity Analysis. Wiley.
Snape, G., Clift, S., Bramley, A. (2002). Parametric sensitivity analyses for FEA of hot steel forging. J. Mat. Proc. Techn., 125-126, 353-360.
Sosnowski, W. (2003). Numeryczna symulacja. analiza wrazliwosci i optymalizacja nieliniowych procesow deformacji konstrukcji, Wydawnictwo Uniwersytetu Kazimierza Wielkiego, Bydgoszcz.
Sosnowski, W., Marczewska, I., Marczewski, A. (2002). Sensitivity based optimization of sheet metal forming tools. J. Mat. Proc. Techn., 124, 319-328.
Sousa, L.C., Castro, C.F., Antonio, C.A.C., Santos, A.D. (2002). Inverse methods in design of industrial forging processes. J. Mat. Proc. Techn., 128, 266-273.
Szeliga, D., Pietrzyk, M. (2002). Identification of Rheological and Tribological Parameters. In: Metal Forming Science and Practice, A State-of-the-art Volume in Honour of Professor J.A. Schey's 80th Birthday, Elsevier, Amsterdam, 227-258.
Zhao, X., Zhao, G., Wang, G., Wang, T. (2002). Preform die shape design for uniformity of deformation in forging based on preform sensitivity analysis. J. Mat. Proc. Techn., 128, 25- 32.