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An analysis of Euler and implicit Runge-Kutta numerical integration schemes for structural dynamic problems
Stiff systems of second-order ordinary differential equations, which describe the vibration of a structure subjected to earthquake loading, may be solved numerically by a variety of numerical algorithms. A detailed analysis is made of Euler's classical scheme, in application to both linear and non-linear systems of equations. Some implicit Runge-Kutta schemes devised by J.C. Butcher are also applicable to stiff systems of equations. As an example a 3-storey frame, in the form of a triangular prism which is subjected to dynamic loading, is analysed by a variety of Euler and Butcher schemes, and the results are compared with the exact solution.
An analysis of Euler and implicit Runge-Kutta numerical integration schemes for structural dynamic problems
Stiff systems of second-order ordinary differential equations, which describe the vibration of a structure subjected to earthquake loading, may be solved numerically by a variety of numerical algorithms. A detailed analysis is made of Euler's classical scheme, in application to both linear and non-linear systems of equations. Some implicit Runge-Kutta schemes devised by J.C. Butcher are also applicable to stiff systems of equations. As an example a 3-storey frame, in the form of a triangular prism which is subjected to dynamic loading, is analysed by a variety of Euler and Butcher schemes, and the results are compared with the exact solution.
An analysis of Euler and implicit Runge-Kutta numerical integration schemes for structural dynamic problems
Analyse der numerischen Integration struktureller, dynamischer Probleme von Hochbauten nach Euler und Runge-Kutta
Collings, A.G. (author) / Tee, G.J. (author)
1977
8 Seiten, 4 Bilder, 11 Quellen
Conference paper
English
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