Nonlinear Dynamic Phenomena in Mechanics

This book covers theoretical and applications-based problems of concerned with both discrete and continuous systems of interest in civil and mechanical engineering. They include systems, , and . Pendulums can be used as a dynamic absorber mounted in high buildings, bridges or chimneys. Geometrical nonlinearities introduced by pendulum motion may change the system dynamics, and entail a rapid increase of the oscillations of both the structure and the pendulum, leading to full pendulum rotation or . To magnetorheological damping is proposed. Nonlinear mechanics has to be used to explain undesired response in , such as that occurred in the famous event of the . The observed phenomena can be explained by an analytical (SMAs) exhibit very interesting nonlinear thermo-mechanical properties such as . SMA elements integrated within composite beams or plates can be used for active modification of structure properties e.g. by affecting their natural frequencies. Finite amplitude, resonant, forced dynamics of o have recently undergone meaningful research advances concerned with modelling, analysis, response, and nonlinear/nonregular phenomena. A variety of features of in different resonance conditions are comparatively addressed. Non-smooth systems are very common in engineering practice. Three mechanical engineering problems are presented: (i) a system in the form of a moling device, (ii) the influence of the opening and closing of a on the host system dynamics, and (iii) nonlinear interactions between a and snubber ring system. This book is aimed at a wide audience of engineers and researchers working in the field of nonlinear structural vibrations and dynamics, and undergraduate and postgraduate students reading mechanical, aerospace and civil engineering.