Application of automatic differentiation in numerical solution of a flexible mechanism

Authors:
Ming-Gong Lee
Affiliations:
Department of Applied Mathematics, 707 Section 2 Wu-Fu Road, Hsin Chu, Taiwan, 30012 R.O.C.
Venue:
ICCMSE '03 Proceedings of the international conference on Computational methods in sciences and engineering
Year:
2003

Citing 3
Cited 0

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Abstract

The dynamic behavior of a rotating flexible four-bar structure has been analyzed by Lagrange multiplier formulation, which includes a coupled of rigid and flexible generalized coordinates and they form a structure which can be defined as differential-algebraic equations (DAEs). A stable numerical algorithm for solving differential-algebraic equations is implemented. Automatic differentiation (AD) system (ADIFOR) are used to generate numerical values of Jacobian matrix of the constraint equation described in the formulation. Another AD tool AUTODERIVE is used further to get the second order derivative terms. Comparison between using hand-deriving and automatic differentiation is studied, and it shows that a great accuracy of implementing AD tools in the differential-algebraic equation solver for flexible structure.