Finite Element Analysis of Space Frame Structures

Halil Karadeniz (), Mehmet Polat Saka () and Vedat Togan
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Halil Karadeniz: Delft University of Technology
Mehmet Polat Saka: Middle East Technical University
Vedat Togan: Karadeniz Technical University

Chapter Chapter 1 in Stochastic Analysis of Offshore Steel Structures, 2013, pp 1-119 from Springer

Abstract: 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.

Keywords: Stiffness Matrix; Mass Matrix; Beam Element; Load Vector; Rigid Block (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-1-84996-190-5_1

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DOI: 10.1007/978-1-84996-190-5_1

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