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 vecto...

The Fokker-Planck equation (FPE) is a frequently used tool for the solution of cross probability density function (PDF) of a dynamic system response excited by a vector of random processes. FEM represents a very effective solution possibility, particularly when transition processes are investigated or a more detailed solution is needed. Actual papers deal with single degree of freedom (SDOF) sy...

The potential of digital twin technology is immense, specifically in the infrastructure, aerospace, and automotive sector. However, practical implementation this not at an expected speed, because lack application-specific details. In paper, we propose a novel framework for stochastic nonlinear multi-degree freedom (MDOF) dynamical systems. proposed has four modules — (a) physics-based nominal m...