Linear parameter estimation for multi-degree-of-freedom nonlinear systems using nonlinear output frequency-response functions

Relationships between the Nonlinear Output Frequency Response Functions of Multi- Degree-of-Freedom Nonlinear Systems

Sliding Mode Control for Single-degree-of-freedom Nonlinear Structures

The occurrence of catastrophic earthquakes necessitates further researches in the structure engineering for retrofitting construction structures. In this paper, the application of the active control in the structures’ seismic response has been addressed. A single degree of freedom nonlinear structure has been studied. The nonlinear dynamic of the structure is considered in which, the nonlinear ...

Output Consensus Control of Nonlinear Non-minimum Phase Multi-agent Systems Using Output Redefinition Method

This paper concerns the problem of output consensus in nonlinear non-minimum phase systems. The main contribution of the paper is to guarantee achieving consensus in the presence of unstable zero dynamics. To achieve this goal, an output redefinition method is proposed. The new outputs of agents are functions of original outputs and internal states and defined such that the dynamics of agents a...

Crack detection using nonlinear output frequency response functions

The new concept of nonlinear output frequency response functions (NOFRFs) is introduced in this paper to detect cracks in beams using frequency domain information. The results show that the NOFRFs are a sensitive indicator of the presence of cracks providing the excitation is of an appropriate intensity. They also constitute an indicative and promising basis, which must further be explored, so ...

Stability of Multi-Degree of Freedom Stochastic Nonlinear Systems

Melnikov's method for nding necessary conditions for homoclinic chaos is extended to a class of stochastically forced multi-degree of freedom nonlinear systems. The stochastic forcing induces a stochastic Melnikov process, and simple zeros of this process imply transversal intersection of appropriate stable and unstable manifolds. This process can also provide information on probabilities of es...