This paper proposes a novel nonlinear dynamical system identification method based on the
sparse regression algorithm and the separable least squares method. To effectively avoid …

In recent years, the rapid growth of computing technology has enabled identifying
mathematical models for vibration systems using measurement data instead of domain …

An accurate input-output mathematical model is the basis of moving force identification
(MFI). However, an absolutely accurate mathematical model between moving forces and …

Identifying a nonlinear dynamic systems' governing equation is crucial for many engineering
applications, and yet a challenging task. In this study, the system's dynamics are …

This work proposes an iterative sparse-regularized regression method to recover governing
equations of nonlinear dynamical systems from noisy state measurements. The method is …

A system identification technique suitable for single degree of freedom (SDOF) and multiple
degree of freedom (MDOF) structural systems with either nonlinear elastic or …

This contribution deals with extraction and analysis of the transient component of a
deployable structure vibration based on the sparse decomposition with mixed norms. The …

Mechanical equipment is the heart of industry. For this reason, mechanical fault diagnosis
has drawn considerable attention. In terms of the rich information hidden in fault vibration …

A crucial challenge encountered in diverse areas of engineering applications involves
speculating the governing equations based upon partial observations. On this basis, a …

When structural dynamic design for smart control and health monitoring is executed,
imposed excitations on structures are one of most important issues in structural engineering …