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Three-dimensional differential equations dynamic analysis for non-linear structures

Dynamische Analyse von nichtlinearen Strukturen mit dreidimensionalen Differentialgleichungen

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Abstract

A new dynamic model is investigated for the solution of the three-dimensional structural analysis problem of a non-linear structure subjected under seismic forces. Such problem is reduced to the solution of a system of ordinary differential equations of the second kind and this system is numerically evaluated by using a kind of finite elements and by solving the corresponding eigenvalues-eigenvectors problem.

An application of structural analysis is given to the determination of the eigenvalues and eigenvectors of a 10-floor building consisting of reinforced concrete and subjected to an horizontal seismic vibration.

Zusammenfassung

Ein neues dynamisches Model für die Lösung eines dreidimensionalen Analyseproblems von nichtlinearen Strukturen unter Einwirkung seismischer Kräfte wird untersucht. Das Problem wird auf die Lösung eines Systems gewöhnlicher Differentialgleichungen zweiter Ordnung zurückgeführt, welches numerisch mit einem Finite-Element Ansatz unter Einbeziehung des zugehörigen Eigenwerte-/Eigenvektorproblems gelöst wird. Die Anwendung dieser neuen Methode der Strukturanalyse erfolgt am Beispiel eines zehnstöckigen Gebäudes aus verstärktem Beton, welches horizontalen Erdbebenlasten ausgesetzt ist.

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  1. Interpaper Research Organization 56, Anagnostopoulou Str., Athens, 106 72, Greece

    E.G. Ladopoulos

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Ladopoulos, E. Three-dimensional differential equations dynamic analysis for non-linear structures. Forsch Ingenieurwes 70, 80–89 (2005). https://doi.org/10.1007/s10010-005-0014-0

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