مقاله Higher-order stiffness matrices in nonlinear finite element analysis of plane truss structures : تی پی بین

خلاصه مقاله

There are enormous number of steel truss bridges in the U.S. and around the world. Elementary theory of structural analysis or linear elastic small displacement finite element method is typically used for analysis and design of these bridges. However, steel bridges may face large deflections and inelastic displacements due to unexpected live loads and/or unfavorable environmental conditions. Therefore, there is a need for the second- or higher-order elastic and/or inelastic analysis of these bridges. This article presents a methodology for the elastic large displacement analysis of plane trusses that are novel in bridge engineering practice.

Higher-order stiffness matrices are derived and implemented in conjunction with the finite element procedure and updated Lagrangian description for the nonlinear analysis of plane truss structures. A numerical method, a modified Riks–Wempner approach, is used for the solution of geometric nonlinear plane truss problems. Numerical examples and results are presented to check the accuracy of the software developed by comparing the results of numerical examples with theoretical results and examples published by other authors. In this research, the concept of Object-Oriented technology and C++ programming language are used for coding and software developed.

نویسندگان

Morteza A.M. Torkamani [ Department of Civil and Environmental Engineering, University of Pittsburgh, 932 Benedum Hall, 3700 O’Hara Street, Pittsburgh, PA 15261, USA ]

Jyh-Hung Shieh [ Deptartment of Civil and Environmental Engineering, University of Pittsburgh, 949 Benedum Hall, 3700 O’Hara Street, Pittsburgh, PA 15261, USA ]

کلمات کلیدی

Finite element procedure Geometric nonlinearity Higher order analysis Material nonlinearity Modified Newton–Raphson method Modified Riks–Wempner method Strain–displacement relations

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Engineering Structures

Engineering Structures provides a forum for a broad blend of scientific and technical papers to reflect the evolving needs of the structural engineering and structural mechanics communities. Particularly welcome are contributions dealing with applications of structural engineering and mechanics principles in all areas of technology. The journal aspires to a broad and integrated coverage of the effects of dynamic loadings and of the modelling techniques whereby the structural response to these loadings may be computed.

حوزه های تحت پوشش : structural mechanics, structural engineering