Analysis of Steel Frames with Geometric and Material Nonlinearities: MP Approach
A very significant problem in an analysis of engineering structures is when displacements become exceedingly large. After deformation, and in addition to the well known geometric effects, a structure may remain elastic or develop plasticity. A combination of geometric and material nonlinearities nee...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Conference Paper |
| Published: |
Research Publishing
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/41643 |
| _version_ | 1848756202438131712 |
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| author | Vimonsatit, Vanissorn Tin-Loi, F. |
| author2 | Lau Hieng Ho |
| author_facet | Lau Hieng Ho Vimonsatit, Vanissorn Tin-Loi, F. |
| author_sort | Vimonsatit, Vanissorn |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A very significant problem in an analysis of engineering structures is when displacements become exceedingly large. After deformation, and in addition to the well known geometric effects, a structure may remain elastic or develop plasticity. A combination of geometric and material nonlinearities needs to be accounted for. This paper presents governing equations and a systematic approach to nonlinear analysis of steel frames based on mathematical programming (MP) techniques. The basic relations of statics, kinematics and material constitutive laws are derived using the concept of fictitious forces and deformations. These formulations are then used to develop the corresponding incremental descriptions. As a result, the overall governing system can be formulated as a standard,systematic matrix format of a nonlinear complementarity problem (NCP). A special treatment is made to reformulate the NCP as a stepwise linear complementarity problem. The formulation is suitable for discretised frame structures under any combination of piecewise proportional load paths. The effect of partial-strength joint between beam and column are also incorporated in the mathematical formulation. The basic features of the computational algorithms will be briefly described for incremental analysis of structures subjected to monotonic and cyclic loading. Numerical examples are given to illustrate the application of the proposed approach. The incremental analysis steps are necessary for numerical stability especially when dealing with nonlinearities and plastic irreversibilites. |
| first_indexed | 2025-11-14T09:08:27Z |
| format | Conference Paper |
| id | curtin-20.500.11937-41643 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:08:27Z |
| publishDate | 2011 |
| publisher | Research Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-416432017-01-30T14:54:02Z Analysis of Steel Frames with Geometric and Material Nonlinearities: MP Approach Vimonsatit, Vanissorn Tin-Loi, F. Lau Hieng Ho A very significant problem in an analysis of engineering structures is when displacements become exceedingly large. After deformation, and in addition to the well known geometric effects, a structure may remain elastic or develop plasticity. A combination of geometric and material nonlinearities needs to be accounted for. This paper presents governing equations and a systematic approach to nonlinear analysis of steel frames based on mathematical programming (MP) techniques. The basic relations of statics, kinematics and material constitutive laws are derived using the concept of fictitious forces and deformations. These formulations are then used to develop the corresponding incremental descriptions. As a result, the overall governing system can be formulated as a standard,systematic matrix format of a nonlinear complementarity problem (NCP). A special treatment is made to reformulate the NCP as a stepwise linear complementarity problem. The formulation is suitable for discretised frame structures under any combination of piecewise proportional load paths. The effect of partial-strength joint between beam and column are also incorporated in the mathematical formulation. The basic features of the computational algorithms will be briefly described for incremental analysis of structures subjected to monotonic and cyclic loading. Numerical examples are given to illustrate the application of the proposed approach. The incremental analysis steps are necessary for numerical stability especially when dealing with nonlinearities and plastic irreversibilites. 2011 Conference Paper http://hdl.handle.net/20.500.11937/41643 Research Publishing restricted |
| spellingShingle | Vimonsatit, Vanissorn Tin-Loi, F. Analysis of Steel Frames with Geometric and Material Nonlinearities: MP Approach |
| title | Analysis of Steel Frames with Geometric and Material Nonlinearities: MP Approach |
| title_full | Analysis of Steel Frames with Geometric and Material Nonlinearities: MP Approach |
| title_fullStr | Analysis of Steel Frames with Geometric and Material Nonlinearities: MP Approach |
| title_full_unstemmed | Analysis of Steel Frames with Geometric and Material Nonlinearities: MP Approach |
| title_short | Analysis of Steel Frames with Geometric and Material Nonlinearities: MP Approach |
| title_sort | analysis of steel frames with geometric and material nonlinearities: mp approach |
| url | http://hdl.handle.net/20.500.11937/41643 |