Closed-form solutions to investigate the nonlinear response of foundations supporting operating machines under blast loads

Machine foundations are subjected to significant dynamic impacts. These impacts could spread the surrounding regions, affecting workers, sensitive equipment in same institution, or nearby areas. This study analyzes response of machine-supporting harmonic and explosive loads under operational conditions provides closed-form solutions for predicting responses terms displacement, velocity, acceleration time-histories two common types blast loads: a more accurate typical profile simplified triangular profile. The soil-machine foundation system is regarded as single-degree-of-freedom (SDOF) that exhibits elastic–perfectly flexible resistance behavior. For analysis SDOF system, cases considered: one assumes supporting soil keeps elastic during explosion, peak displacement less than one, while other occurs an state, plastic state. By using analytical solutions, detailed parametric carried out evaluate soil-foundation characteristics such mass, stiffness, damping ratio on response-time history machine foundations. findings compared those reported literature, relevant conclusions derived. Obtained results demonstrated that, despite its simplicity usage only positive phase simulate loads, model’s behavior differs significantly from one. Furthermore, derived utilized design vibrating machines both variety conceivable scenarios depending magnitude.