Elastic-perfectly-plastic system Sample Clauses

Elastic-perfectly-plastic system. ‌ In the case of EPP (having the same period, weight and yielding force of the PIN system), the approach of [8,16] has been used to fill the unit-time transition matrix of Equation (8). In fact, a different approach, with respect to the PIN system was chosen to report in this study both the options readily available to calibrate the reliability model. The records employed in the analysis summarized in the steps listed in section 5.2, are the same as those of the simulations for the PIN system. The resulting state- dependent (lognormal) fragility curves for the EPP system are given in Figure 10. After taking the differences of these, as per Equation (12), and the integration with the site-specific hazard, as per Equation (13), the unit-time transition matrix of Equation (8) is obtained; see Table 3. Consequently, the time-variant probabilities of getting in any DS state for the structure starting in any other state, from Equation (9), are given in Figure 11. It may be observed that the EPP is, as expected, more reliable than the PIN system. Indeed, the mean time to failure from as-new conditions may be computed also for the EPP structure; it results E ⎡⎣k f ⎦⎤ = 718 [ years] . The large average time to collapse of this system, in comparison with the PIN systems, confirms the comparatively lower vulnerability of this hysteretic loop.
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