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Titlebook: Computational Statics and Dynamics; An Introduction Base Andreas Öchsner Textbook 20161st edition Springer Science+Business Media Singapore

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Pernille H. Christensen,Jeremy Gabe derived. The weighted residual method is then used to derive the principal finite element equation for plane elements. Emphasis is given to the two plane elasticity cases, i.e. the plane stress and the plane strain case. The chapter exemplarily treats a four-node bilinear quadrilateral (quad 4) element.
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Rods and Trusses, The weighted residual method is then used to derive the principal finite element equation for rod elements. Assembly of elements and the consideration of boundary conditions is treated in detail. The chapter concludes with the spatial arrangements of rod elements in a plane to form truss structures.
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Timoshenko Beams,ich describe the physical problem, are derived. The weighted residual method is then used to derive the principal finite element equation for . beam elements. In addition to linear interpolation functions, a general concept for arbitrary polynomials of interpolation functions is introduced.
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Classical Plate Elements,aw, and the equilibrium equation, the partial differential equation, which describes the physical problem, is derived. The weighted residual method is then used to derive the principal finite element equation for classical plate elements. The chapter exemplarily treats a four-node bilinear quadrilateral (quad 4) bending element.
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