Periodic Lattice Structures: Discrete Functional Solutions and Probabilistic Methods of Statics - Couverture souple

Karpov, Eduard G.

 
9783838319391: Periodic Lattice Structures: Discrete Functional Solutions and Probabilistic Methods of Statics
Couverture souple
ISBN 10 : 3838319397 ISBN 13 : 9783838319391
Editeur : LAP Lambert Academic Publishing, 2009

Synopsis

This book presents novel efficient methods for the static analysis of periodic lattice structures using a semi-analytical discrete functional approach. The governing equation of equilibrium is written in a compact convolution operator form by analyzing only one repetitive lattice element. This approach admits fast solution procedures with the discrete Fourier and z-transform inversion schemes and leads to a numerical lattice Green?s function formulation. The lattice Green?s function solution encapsulates all the fundamental response behavior of the periodic structure arising from the static external loading. Another strategy is presented for the analysis of beam-like lattices, where the solution is given by a number of characteristic static modes of structural deformation. Load distribution, boundary conditions and the number of repetitive elements in the structure do not affect the basic solution forms and are taken into account on a subsequent stage of the analysis. The lattice Green?s function approach is also demonstrated for the problems with arbitrary boundary shapes and for the probabilistic analysis of pre-load member stress in mismatched redundant truss structures.

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Présentation de l'éditeur

This book presents novel efficient methods for the static analysis of periodic lattice structures using a semi-analytical discrete functional approach. The governing equation of equilibrium is written in a compact convolution operator form by analyzing only one repetitive lattice element. This approach admits fast solution procedures with the discrete Fourier and z-transform inversion schemes and leads to a numerical lattice Green?s function formulation. The lattice Green?s function solution encapsulates all the fundamental response behavior of the periodic structure arising from the static external loading. Another strategy is presented for the analysis of beam-like lattices, where the solution is given by a number of characteristic static modes of structural deformation. Load distribution, boundary conditions and the number of repetitive elements in the structure do not affect the basic solution forms and are taken into account on a subsequent stage of the analysis. The lattice Green?s function approach is also demonstrated for the problems with arbitrary boundary shapes and for the probabilistic analysis of pre-load member stress in mismatched redundant truss structures.

Biographie de l'auteur

Eduard G. Karpov is an Assistant Professor of Civil & Materials Engineering at the University of Illinois, Chicago. He received a PhD degree in Mechanical Engineering from the University of Southampton with the British Aerospace/Rolls-Royce University Technology Partnership for Design. He authored 45 archival publications including two monographs.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP Lambert Academic Publishing
Date d'édition
2009
Langue
anglais
ISBN 10 
3838319397
ISBN 13 
9783838319391
Reliure
Broché
Nombre de pages
156
Coordonnées du fabricant
non disponible
Personne responsable
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