In this study, nonlinear vibration of a composite cable is investigated by considering nonlinear stress-strain relations. The composite cable is composed of an aluminum wire as reinforcement and a rubber coating as matrix. The nonlinear governing equations of motion are derived about to an initial curve and based on the fundamentals of continuum mechanics and the nonlinear Green-Lagrangian stra...

We use the recently introduced concept of a Scaled Relative Graph (SRG) to develop graphical analysis input-output properties feedback systems. The SRG nonlinear operator generalizes Nyquist diagram an LTI system. In spirit classical control theory, important robustness indicators systems are measured as distances between SRGs.

In this paper, the nonlinear vibration of functionally graded (FGM) cylindrical shells subjected to radial harmonic excitation is investigated. The nonlinear formulation is based on a Donnell’s nonlinear shallow-shell theory, in which the geometric nonlinearity takes the form of von Karman strains. The Lagrange equations of motion were obtained by an energy approach. In order to reduce the syst...

The idea of summarizing the information contained in a large number variables by small “factors” or “principal components” has been broadly adopted statistics. This article introduces generalization widely used principal component analysis (PCA) to nonlinear settings, thus providing new tool for dimension reduction and exploratory data representation. distinguishing features method include (i) ...

in the conditions in which terrorist attacks on facilities and civilian places increase more and more attention to design of structures against impact loads of explosion is more important and needs special considerations. study of nature of blast loads and methods of applying it on the structure is one of the important problems. explosion is a sudden and rapid release of a great amount of energ...

In this study, the nonlinear optical properties and optical limiting performance of the silver nanoparticles (AgNPs) in distilled water are investigated. The nonlinear absorption coefficient of the colloid is measured by the Z-scan technique. The optical limiting behavior of the AgNP suspension is investigated under exposure to nanosecond laser pulses at 532 nm. The results show that nonlinear ...