マトリックス法による骨組構造物の弾塑性解析(その2)

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In the previous paper, the authors developed the general form of the stiffness matrix of elastic-plastic members of one-dimension based on the plastic flow theory and presented the new method of analysis on framed structures using the matrix method. The method was developed on the assumptions that loadings on structures are to be applied proportionally and there is no yielded section where unloading occurs under proportional loading. In actual cases, however, it is very important to investigate the behaviors of structures under general landings. Furthermore, the proportional loading does not always assure no unloading at yielded sections of elastic-plastic behavior of structures. This implies that unloading at yielded sections should be examined at each step of loadings. To this end, a judging method for unloading is required to be established. In the previous paper, a quantity, λ which indicates the magnitude of plastic deformation at a yielded section is assumed possitive for the following step of the analysis. This quantity is however, not always positive and when it is negative, the deformation is considered to be elastic. Accordingly, unloading at a yielded section is inspected by the condition λ<0 and loading is continued at a yielded secion, when λ≥0 In this report, furthermore, the effect of large deformation is taken into consideration and the method is expanded for the analysis on elastic-plastic behaviour of structures with large deformation and instability. In this case, unloading at a yielded section is also examined by the same condition as mentioned above.
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マトリックス法による骨組構造物の弾塑性解析(その2)

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