Titlebook: One-Dimensional Finite Elements; An Introduction to t Andreas ?chsner,Markus Merkel Textbook 2018Latest edition Springer International Publ

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巨碩

Motivation for the Finite Element Method,ifferent initial formulations result in the same principal finite element equation. The different formulations will be elaborated in detail based on the following descriptions:.The finite element method is used to solve different physical problems. Here solely finite element formulations related to structural mechanics are considered.

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Andreas ?chsner,Markus MerkelNew edition now includes Special Finite Elements, thermal conduction into the analysis of rod elements, and the principle of virtual work.Introduces a new educational approach using only one-dimension

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978-3-030-09157-6Springer International Publishing AG, part of Springer Nature 2018

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Condescending

Bar Element,uced. Subsequently the bar element will be introduced, according to the common definitions for load and deformation quantities, which are used in the handling of the FE method. The derivation of the stiffness matrix will be described in detail. Apart from the simple prismatic bar with constant cross

Ledger

Equivalences to Tension Bar,ional torsion bar and the case of one-dimensional heat conduction in a bar. The first part of the chapter treats the torsion bar. First, the basic equations known from the strength of materials will be introduced. Subsequently, the torsion bar will be introduced, according to the common definitions

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Bending Element,nt used in this chapter will be differentiated from other element formulations. The basic equations from the strength of materials, meaning kinematics, equilibrium and constitutive equation will be introduced and used for the derivation of the differential equation of the bending line. Analytical so