Infrastructures are the fundamental systems for transportation, communication, sewage, water, and electrical systems. They tend to be high-cost investments and are vital to a country's economic development and prosperity, and include structures such as bridges, dams, pipelines, nuclear and thermal power plants. To date, a number of these structures are being studied, and many of them are ageing. Performance Based Engineering (PBE) offers a step-by-step methodology for the probabilistic safety assessment of structures, employing both a global probabilistic framework and detailed analysis. To accomplish this objective, the performance assessment and design process have been broken down into logical elements that can be studied and resolved in a rigorous and consistent manner. Elements of the process include the description, definition, and quantification of applied load intensity measures, engineering demand parameters, damage measures, and decision variables. A consistent probabilistic framework underpins the methodology so that the inherent uncertainties in phenomena performance assessment can be represented. The methodology can be implemented directly for performance assessment or can be used as the basis for establishing simpler performance metrics and criteria for performance-based design.

Taking into account the most probable natural and human events such as seismic, wind, landslide, explosion, sabotage, and vandalism, the capacity of the infrastructures should be evaluated within the context of PBE. This concept has already been developed for different events, e.g. performance-based earthquake engineering (PBEE), performance-based fire engineering (PBFE), performance-based hurricane engineering (PBHE), performance-based blast engineering (PBBE) and performance-based wind engineering (PBWE). One common point in all of these methods is that the principal loads involved are inherently shocking and vibrational. In addition, all of these methods share this main point: to evaluate the capacity of the structure subjected to that specific event with varying amplitude, to have the response of the system in different structural levels.

The main objective of this Special Issue is to collect original research that discusses the application of performance-based engineering in relation to improving shock and vibration risk decision-making through assessment and design methods, in terms that have the response of the system in different structural levels and enable stakeholders to make informed decisions. Phenomena with shock and vibrational nature include earthquakes, blasts, fires, hurricanes and wind. Research that showcases new theoretical results as well as numerical and experimental applications of existing theories is welcome. Additionally, this Special Issue welcomes review articles which describe the current state of the art.

Potential topics include but are not limited to the following:

• Qualitative and quantitative potential failure mode analysis of infrastructures
• Probabilistic performance assessment of infrastructures
• Probabilistic shock and vibration demand model for infrastructures
• Intensity Measure (IM) and Damage Index (DI) parameters of infrastructures
• Sensitivity, uncertainty, capacity, and fragility analysis of infrastructures using different structural analysis techniques