By Professor Yushu Chen PhD, Professor Andrew Y. T. Leung DSc,PhD,CEng,FRAes,MIStructE,MHKIE (auth.)
For the numerous varied deterministic non-linear dynamic platforms (physical, mechanical, technical, chemical, ecological, financial, and civil and structural engineering), the invention of abnormal vibrations as well as periodic and virtually periodic vibrations is among the most vital achievements of recent technological know-how. An in-depth learn of the idea and alertness of non-linear technological know-how will surely switch one's belief of various non-linear phenomena and legislation significantly, including its nice results on many components of program. because the very important subject material of non-linear technology, bifurcation concept, singularity conception and chaos conception have built speedily long ago or 3 a long time. they're now advancing vigorously of their purposes to arithmetic, physics, mechanics and plenty of technical parts around the globe, and they're going to be the most topics of our trouble. This e-book is anxious with purposes of the tools of dynamic structures and subharmonic bifurcation conception within the research of non-linear dynamics in engineering. It has grown out of the category notes for graduate classes on bifurcation idea, chaos and alertness concept of non-linear dynamic platforms, supplemented with our most up-to-date result of clinical learn and fabrics from literature during this box. The bifurcation and chaotic vibration of deterministic non-linear dynamic platforms are studied from the perspective of non-linear vibration.
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