Abstract This paper proposes an approach for the determination of analytical boundaries continuous, stick-slip and no motion regimes steady-state response a multi-degree-of-freedom (MDOF) system with single Coulomb contact to harmonic excitation. While these have been previously investigated single-degree-of-freedom (SDOF) systems, they are mostly unexplored MDOF systems. Closed-form expression...

The periodic generalized harmonic wavelet (PGHW) method is used to analyze the response of chain-like multi-degree-of-freedom (MDOF) nonlinear structural system with seismic excitation in time and frequency domain. First, theoretical background PGHW briefly introduced, relationship between power spectral density (PSD) stochastic process corresponding coefficient given. Next, wavelet-Galerkin st...

Abstract This paper investigates the steady-state response of a harmonically excited multi-degree-of-freedom (MDOF) system with Coulomb contact between: (1) mass and fixed wall; (2) two different masses; (3) an oscillating base. Although discrete MDOF models are commonly used at early design stages to analyse dynamic performances engineering structures, current understanding friction damping ef...

A novel computational approach called “Local Statistical Linearization” (LSL) based on statistical equivalent linearization and Gaussian superposition has been introduced recently (4). The methodology allows to extend the concept of statistical equivalent linearization to proceed from estimates of the second moment properties of the stochastic response to estimates for the non-Gaussian probabil...

This paper is intended to reveal some new aspects of the principle of work and energy in its differential form. A theorem is given to state the principle of work and energy in differential form that can be applied alone to build up all the dynamical equations of a special class of MDOF mechanical systems. Some illustrations and discussions are presented to demonstrate the refined applicability ...

16. Abstract The objective of this research program is to investigate the potential for using system identification as a non-destructive evaluation technique. This research examines the feasibility of performing system identification on a large, multi-degree of freedom structure and a simple, single span structure. The testing consisted of performing sine sweeps over a range of excitation frequ...