Read e-book online MATLAB Codes for Finite Element Analysis: Solids and PDF

By A. J. M. Ferreira

ISBN-10: 1402091990

ISBN-13: 9781402091995

This e-book illustrates how MATLAB compact and robust programming framework could be very worthwhile within the finete point research of solids and buildings. The e-book presently introduces finite point techniques and an in depth record of MATLAB codes for readers to exploit and adjust. The publication components variety from extremely simple springs and bars to extra complicated beams and plates in static bending, loose vibrations and buckling problems.

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Read Online or Download MATLAB Codes for Finite Element Analysis: Solids and Structures (Solid Mechanics and Its Applications) PDF

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Additional info for MATLAB Codes for Finite Element Analysis: Solids and Structures (Solid Mechanics and Its Applications)

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4 Problem 2, using MATLAB struct 41 %................................................................ function displacements=solution(GDof,prescribedDof,stiffness, force) % function to find solution in terms of global displacements activeDof=setdiff([1:GDof]’, ... m, as: %................................................................ nodeCoordinates(elementDof(2))... stiffness(elementDof,elementDof)=... nodeCoordinates(:)) ... m, as follows: % .............................................................

M, to output displacements and reactions, as %.............................................................. function outputDisplacementsReactions... U. 6 New code using MATLAB structures MATLAB structures provide a way to collect arrays of different types and sizes in a single array. m. One of the most interesting features is that the argument passing to functions is simplified. m listing is as follows: %................................................................ stiffness(elementDof,elementDof)=...

Xx==max(nodeCoordinates(:)))’; prescribedDof=[fixedDof] % free Dof : activeDof activeDof=setdiff([1:numberNodes]’,[prescribedDof]); % solution GDof=numberNodes; displacements=solution(GDof,prescribedDof,stiffness,force); % output displacements/reactions outputDisplacementsReactions(displacements,stiffness,... numberNodes,prescribedDof) The nodal coordinates are obtained by an equal-spaced division of the domain, using linspace. % generation of coordinates and connectivities % numberElements: number of elements numberElements=3; 40 3 Analysis of bars % generation equal spaced coordinates nodeCoordinates=linspace(0,L,numberElements+1); The connectivities are obtained by a vectorized cycle % elementNodes: connections at elements ii=1:numberElements; elementNodes(:,1)=ii; elementNodes(:,2)=ii+1; We use a Gauss quadrature with one central point ξ = 0 and weight 2.

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MATLAB Codes for Finite Element Analysis: Solids and Structures (Solid Mechanics and Its Applications) by A. J. M. Ferreira


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