The aim of this paper is to identify the relations between cities and citizens regarding sustainability. We identify clusters of European regions on Sustainable Development Goals based on statistical indicators. We collect and treat data on the ranking of Europeans on Sustainable Development Goals obtained from on-line questionnaires done in different regions in Europe. Using Principal Component Analysist on the composed responses we name them based on the identification of their parts and related their extracted values with the features of the respondents. We conclude not only that the place of the respondents shows significative coefficients in explaining the various components but also that the attitudes implicit in each component favours the goals that are not achieved in the place “People and Places chose what they do not have”.
Issues with traditional implementations of tangent-stiffness-proportional damping model are associated with negative damping forces that develop in the post-yield range when the system stiffness becomes negative and with unrealistic damping forces arising at degrees of freedom undergoing second-order movements only. To overcome these issues, this paper proposes a localized formulation of the tangent-stiffness-proportional damping model which can be used in nonlinear dynamic analysis of simple inelastic systems. Results show the consistency of the local and global damping formulations in small displacements and the effectiveness of the localized tangent-stiffness-proportional damping model in the presence of material and geometrical nonlinearities.
Abstract Studies in the literature have shown that P‐delta () effects are highly influenced by the hysteretic characteristics of a structural system. However, international buildings and bridge codes prescribe ‐induced amplification factors, limits for negligible effects and limits for dynamic instability that neglect this influence. As a result, different margins of safety against actions are currently specified for different structural systems, with steel structures, for example, presenting reduced margins of safety with respect to concrete structures. Adopting a sub‐set of the PEER earthquake record database composed of 1964 earthquake records, this paper presents a statistical analysis of displacement amplification ratios for systems with different hysteretic models, fundamental periods and ductility levels. In terms of both elastic and inelastic stability coefficients, limit values of the stability coefficient for negligible effects and dynamic instability are proposed for the most common structural typologies, such as steel, well and poorly detailed reinforced concrete, and self‐centering structures. Analytical estimates of the median, 84th and 98th percentile values of the displacement amplification that take into account the combined effect of stability coefficient, ductility level and hysteretic properties are proposed.
P-delta ( PΔ) effects can worsen the seismic performance of building and bridge structures and potentially lead to dynamic instability and collapse. An accurate characterization of PΔ effects is therefore imperative, for both design and assessment of structures. Adopting an earthquake database composed of 7032 ground motions, this article uses the results of a large statistical analysis of amplifications of the displacement demand due to PΔ effects for bilinear single-degree-of-freedom systems to investigate and improve practice-oriented methods to account for PΔ effects. A large range of fundamental periods, ductility levels, and effective heights are investigated, and limits for dynamic instability and negligible PΔ effects are examined in terms of both elastic and inelastic stability coefficients. It is seen that systems with the same stability coefficient present increased PΔ induced displacement amplification with reducing fundamental period and increasing ductility level. New expressions for estimation of the median values of the PΔ displacement amplification ratio are proposed that take into account the combined effect of stability coefficient, ductility level, and fundamental period with improved transition close to dynamic instability. Results of the numerical analyses indicate that the new expressions provide improved accuracy over existing approaches without undue complexity.