Handicraft in Finite Elements

J. Blaauwendraad and A. W. M. Kok
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J. Blaauwendraad: Delft University of Technology
A. W. M. Kok: Delft University of Technology

Chapter S2 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 543-552 from Springer

Abstract: Summary The subject of this paper is a general purpose finite element program, yet designed for specialistic problems. In two respects the new program TILLY differs form existing ones. Firstly we use discrete elements based on the concept of generalized deformations. Secondly we apply the Kok-γ integration method to solve the equations. This method is believed to be an improvement with respect to the widely applied Newmark-β method. The ultimate goal of TILLY is not primarily friendliness in use, but rather freedom in applicability. The user is supposed to contribute substantially in the input; he is repaid for his efforts by big freedom in the modelling of problems. The Kok-γ method has specific advantages in nonlinear dynamics. High accuracy can be achieved without the need of extremely small time steps, because it is possible to iterate within each time step. A complete analogy with the Newton-Raphson technique for statics is shown. An application on a personal computer demonstrates the usefulness of the program.

Keywords: Discrete Element; Discrete Element Method; Finite Element Program; Element Stiffness Matrix; Generalize Deformation (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3653-9_60

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DOI: 10.1007/978-94-009-3653-9_60

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