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This book presents, in a uniform way, several problems in applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors. It reveals that various problems and studies in mechanical engineering produce certain patterns that can be treated in a similar way. Accordingly, the same mathematical apparatus allows us to study not only mathematical structures such as quadratic forms, but also mechanics problems such as multibody rigid mechanics, continuum mechanics, vibrations, elastic and dynamic stability, and dynamic systems. In addition, the book explores a wealth of engineering applications.
Quadratic Forms.- Rigid Body Dynamics.- Continuum Mechanics. Strain and Stress Tensor.- Modal Analysis.- Stability (Elastic and Dynamic).- Dynamical Systems.Sorin Vlase is a Full Professor of Mechanics (1996) at Transylvania University of Braov, Romania. He obtained his Dipl.-Ing degree in Automotive Engineering at the Transylvania University of Braov(1976) and a licence in Mathematics at the University of Bucharest (1982). He was researcher at the Truck Factory ROMAN SA (1976-1978) and at the Research Center in Automotive Engineering INAR SA (1978-1980). He become Doctor in Engineering Sciences (Mechanics) in 1989 and obtain his habilitation in Automotive Engineering at the University of Pitesti (Dr.-hab.) in 2014. From 2012 become member of the Romanian Academy of Technical Science. In 2004 he become the Head of the Department of Mechanical Egineering at the Faculty of Mechanl³¶
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