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Finite Element Analysis of Space Frame Structures

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Stochastic Analysis of Offshore Steel Structures

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY))

Abstract

This chapter is devoted to the mechanics of space frame structures and presents necessary formulations for the finite element analysis of space frames. It contains eight sections. Section 1.1 is introduction which summarizes briefly the beam theories in general. Section 1.2 presents deformations, equilibrium equations and rotations, differential equations and solutions, stiffness and mass matrices, consistent load vectors of three-dimensional (3D) Timoshenko beams in general. It explains also the coordinate systems and transformations of 3D beams used in the FEA. Section 1.3 is devoted to member releases and formulation of partly connected members which are represented by spring-beam elements. Section 1.4 explains the formulation of eccentrically connected members. Section 1.5 presents formulations of an interface beam element to take into account soil–beam interactions in the analysis. It explains also soil deformations under Rayleigh wave propagation and calculation of the exerted forces. Section 1.6 is devoted to the calculation of natural frequencies and mode shapes. Consequently, Sect. 1.7 presents dynamic response analysis. Section 1.8 is devoted to examples.

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Acknowledgments

With thanks to ASME for kindly granting permission for the reuse of materials printed in OMAE-2010 [73] as adopted in this chapter in Sect. 1.3.

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Authors and Affiliations

  1. Faculty of Civil Engineering and Geosciences, Delft University of Technology, Stevinweg 1, 2628, CN, Delft, The Netherlands

    Halil Karadeniz

  2. Department of Engineering Sciences, Middle East Technical University, Ankara, 06531, Turkey

    Mehmet Polat Saka

  3. Department of Civil Engineering, Karadeniz Technical University, Trabzon, 61080, Turkey

    Vedat Togan

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  1. Halil Karadeniz
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  2. Mehmet Polat Saka
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Correspondence to Halil Karadeniz .

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Karadeniz, H., Saka, M.P., Togan, V. (2013). Finite Element Analysis of Space Frame Structures. In: Stochastic Analysis of Offshore Steel Structures. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-1-84996-190-5_1

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