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Integration Step Size and Its Adequate Selection in Analysis of Structural Systems Against Earthquakes

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Computational Methods in Earthquake Engineering

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 44))

Abstract

True behaviour of an arbitrary structural system is dynamic and nonlinear. To analyze this behaviour in many real cases, e.g. structures in regions under high seismic risk, a versatile approach is to discretize the mathematical model in space, and use direct time integration to solve the resulting initial value problem. Besides versatility in application, simplicity of implementation is an advantage of direct time integration, while, inexactness of the response and the high computational cost are the weak points. Considering the sizes of the integration steps as the main parameters of time integration, and concentrating on transient analysis against ground acceleration, this chapter presents discussions on:

  1. (1)

    the role of integration step size in time integration analysis, specifically, from the points of view of accuracy and computational cost,

  2. (2)

    conventionally accepted comments, codes/standards’ regulations, and some modern methods for assigning adequate values to the integration step sizes in constant or adaptive time integration,

and concludes with some challenges on time integration analysis and integration step size selection in structural dynamics and earthquake engineering.

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Acknowledgments

The detailed comments of the reviewers who directly and indirectly caused many improvements in the chapter are sincerely appreciated. The author is also grateful to Prof. Fereydoon Arbabi, for his kind guidance, regarding the English of the chapter and Dr. Hamid Zafarani for his introducing a reference on seismology and directivity to the author. The feedbacks of Mr. George Papazafeiropoulos regarding different issues in the chapter is also sincerely acknowledged. Finally the efforts of the type-setting team, specifically Mrs. Hema Suresh and Mr. Mohammad Ali, and the kind attentions and guidance of the editors in different stages of this chapter’s preparation are sincerely acknowledged and deeply appreciated.

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  1. Structural Engineering Research Centre, International Institute of Earthquake Engineering and Seismology (IIEES), Tehran, Iran

    Aram Soroushian

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  1. Aram Soroushian
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Correspondence to Aram Soroushian .

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  1. Civil Engineering, National Technical University of Athens, Athens, Greece

    Manolis Papadrakakis

  2. Department of Civil Engineering and Energy Technology, Oslo and Akershus University College of Applied Sciences, Oslo, Norway

    Vagelis Plevris

  3. School of Civil Engineering, National Technical University of Athens School of Civil Engineering, Athens, Greece

    Nikos D. Lagaros

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Soroushian, A. (2017). Integration Step Size and Its Adequate Selection in Analysis of Structural Systems Against Earthquakes. In: Papadrakakis, M., Plevris, V., Lagaros, N. (eds) Computational Methods in Earthquake Engineering. Computational Methods in Applied Sciences, vol 44. Springer, Cham. https://doi.org/10.1007/978-3-319-47798-5_10

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