By Michael Nosonovsky
''Friction brought about instabilities can result in vibrations, that are frequently bad (e.g., automobile brake squeal). nevertheless, they are important (e.g., track sound generation). New fabrics able to withstand put on and heal minor harm (self-healing) in themselves might be constructed if the facility for self-organization is embedded into the cloth. This publication emphasizes thermodynamic research of friction-induced instabilities, vibrations, and self-organization in addition to primary houses of friction and put on with regards to these''--
''This ebook isn't like quite a few different textbooks and monographs approximately friction. during this paintings we examine numerous results and manifestations of friction with a view to determine these houses of friction which are invariant for various friction mechanisms and hence represent the very essence of friction as a actual phenomenon. by way of doing that we're making the case that friction is a primary strength of nature whose homes will be deduced at once from the second one legislation of thermodynamics, instead of taken care of as a suite of phenomenological unrelated results and empirical facts''-- Read more...
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Extra info for Friction-Induced Vibrations and Self-Organization: Mechanics and Non-Equilibrium Thermodynamics of Sliding Contact
Later, a thermodynamic approach was suggested by Prigogine and his followers, who studied non-equilibrium thermodynamic systems. H. Haken (1983) suggested the term synergetics for the study of self-organizing systems in chemistry and biology. The very word synergetics was apparently coined by the architect and philosopher R. B. Fuller (the same person after whom the C60 molecule was later called fullerene). This term suggests that parts of a self-organizing system work together in synergy in order to achieve a selforganized state.
According to Rosenblueth, Wiener, and Bigelow (1943), the feedback (a central concept in cybernetics) can lead to teleology in machinery. Particular theories of self-organization were developed by Ashby (1947) and von Foerster (1992), who studied the dynamical systems that tended to evolve toward attractors as self-organized states. Later, a thermodynamic approach was suggested by Prigogine and his followers, who studied non-equilibrium thermodynamic systems. H. Haken (1983) suggested the term synergetics for the study of self-organizing systems in chemistry and biology.
One should prove by combining the expression for Lyapunov’s function and the equations of motion of the system that the Lyapunov’s function decreases with time. In that case the motion is stable. In addition to the Lyapunov method, dynamic stability criteria were developed for the theory of control. Such methods, including the Nyquist frequency criterion, are based on the idea of a transfer function transforming input into the output. 3 Non-Linear Vibration and Stability Analysis Non-linear vibrations are much more complex and diverse than linear vibrations.
Friction-Induced Vibrations and Self-Organization: Mechanics and Non-Equilibrium Thermodynamics of Sliding Contact by Michael Nosonovsky