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A generic approach for the solution of nonlinear residual equations. III: Sensitivity computations. (English) Zbl 1230.74227
Summary: Sensitivity analysis provides qualitative and quantitative information on the behaviour of the model under study, and offers an access to gradients that may be used for identification purposes. Such precious information may be obtained at a low development cost applying a generic automatic differentiation (AD) tool to the computer code implementing this model. Nonlinear residual problems solved through a path following method may be addressed too. In this paper, AD techniques are adapted to the Taylor-based asymptotic numerical method. A sensitivity study of a laminated glass beam to the perturbation of some material and geometric parameters, and the perturbation of elementary stiffness matrices illustrates the method. For part I see Y. Koutsawa et al., ibid. 198, No. 3–4, 572–577 (2008; Zbl 1228.74029); for part II see M. Bilasse at al., ibid. 198, 3999–4004 (2009).

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics
74E30 Composite and mixture properties
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