Pseudo‐multi impulse for simulating critical response of elastic–plastic high‐rise buildings under long‐duration, long‐period ground motion

Summary A pseudo‐multi impulse (PMI) is proposed as an extension of the ordinary base‐input multi substituting a long‐duration, long‐period ground motion which can often be simulated by multi‐cycle sine wave (MSW). PMI treated multitude impulsive lateral forces and hardly excites higher‐mode responses elastic multi‐degree‐of‐freedom (MDOF) models because undamped fundamental participation vector adopted influence coefficient vector. It shown that critical time interval obtained without any repetition. This enables smart derivation response. The displacement transfer functions are derived for MDOF models, where two kinds vectors adopted: (1) one at every component (conventional one) (2) fundamental‐mode demonstrated efficiently accurately evaluate maximum under MSW input period elastic–plastic models. Furthermore, extended to treat case second eigenmode. Finally, applied high‐rise buildings investigation into energy cumulative plastic deformation ductility demand.