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Reanalysis of rigid frame structures by the virtual distortion method
The virtual distortion method (VDM) of truss analysis is extended to simulate structural modifications in rigidly jointed frames. An analytical formulation is derived for the displacements of the modified frame. The formulation is applicable to modifications of material distribution (change in moment of inertia of members), but can readily be extended to cover the changes in physical properties (e.g. generation of plastic zones) in a design or loading process. Two practical examples are given to show that the exact response of the modified structure can be obtained efficiently from the results of the analysis of the original structure. The virtual distortion method is extended to address rigidly jointed framens. The formulation developed gives exact results for the modified structure. The matrix equations to be solved are only of order 2n, when n members are modified. This accounts for computational efficiency as compared to a fresh analysis of the modified structure. Extension of VDM for frame structures to nonlinear elastic and elastic-plastic analysis is discussed. VDM offers an efficient approach for nonlinear structural analysis and sensitivity analysis, particularly when used in repetitive analysis, such as optimization procedures and reliability calculations.
Reanalysis of rigid frame structures by the virtual distortion method
The virtual distortion method (VDM) of truss analysis is extended to simulate structural modifications in rigidly jointed frames. An analytical formulation is derived for the displacements of the modified frame. The formulation is applicable to modifications of material distribution (change in moment of inertia of members), but can readily be extended to cover the changes in physical properties (e.g. generation of plastic zones) in a design or loading process. Two practical examples are given to show that the exact response of the modified structure can be obtained efficiently from the results of the analysis of the original structure. The virtual distortion method is extended to address rigidly jointed framens. The formulation developed gives exact results for the modified structure. The matrix equations to be solved are only of order 2n, when n members are modified. This accounts for computational efficiency as compared to a fresh analysis of the modified structure. Extension of VDM for frame structures to nonlinear elastic and elastic-plastic analysis is discussed. VDM offers an efficient approach for nonlinear structural analysis and sensitivity analysis, particularly when used in repetitive analysis, such as optimization procedures and reliability calculations.
Reanalysis of rigid frame structures by the virtual distortion method
Neuberechnung starrer Rahmenstrukturen mit der virtuellen Formänderungs-Methode
Makode, P.V. (author) / Ramirez, M.R. (author) / Corotis, R.B. (author)
Structural Optimization ; 11 ; 71-79
1996
9 Seiten, 8 Bilder, 5 Tabellen, 10 Quellen
Article (Journal)
English
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