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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.
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.
These Proceedings of the 5th International Conference
"Computational Mechanics and Virtual Engineering" COMAT 2013
include 58 papers, which analyze many important practical
applications. The topics range from numerical simulations regarding
the determination of stresses in all plies of various composite
laminates, structural synthesis for redundant industrial robots
with more than 6 axes, and the sound attenuation in a sonic
composite with point defects studied using a new method that
combines the features of the cnoidal method and the genetic
algorithm, to a set of dual vectors based methods for rigid body
displacement and motion parameterization, vibrations of
heterogeneous curved beams subjected to a radial force at the crown
point, and computation of the longitudinal tensile break stress of
multiphase composite materials with short fibers as reinforcement.
Advanced composite materials engineering is one of the most
important area of research and development at the present time.
Composite materials are a mixture of two or more different
components, whose properties complement each other, and the result
is a material with superior properties to those specific to each
component. The utilization of composite materials is growing fast
in strategic fields such as the aircraft, automotive, biomedical,
naval and space industries, as well as in textile, paints, magnetic
fluids, high-quality paper coatings, and microelectronics. These
Proceedings of the 4th International Conference "Advanced Composite
Materials Engineering" COMAT 2012 include 67 papers, which analyse
many important practical applications. The topics range from wood
engineering, sonic composite visualization, asphalt mixtures with
polypropylene fibers and dental filling materials, to design
optimization of composite stiffened structures for aerospace
applications, new lignocellulosic composite materials,
incorporation of different inorganic nanoparticles in polymer
matrix, and carbon fiber reinforced polymer-matrix composites.
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