This monograph covers new variational and projection methods to
study the dynamics within solid structures. To cope with the
underlying initial-boundary value problems, the method of
integrodifferential relations is employed. Applications and
examples in physics, mechanics and control engineering range from
natural vibrations or forced motions of elastic and viscoelastic
bodies to heat and mass transfer processes. Contents Generalized
formulations of parabolic and hyperbolic problems Variational
principles in linear elasticity Variational statements in
structural mechanics Ritz method for initial-boundary value
problems Variational and projection techniques with
semi-discretization Integrodifferential approach to eigenvalue
problems Spatial vibrations of elastic beams with convex
cross-sections Double minimization in optimal control problems
Semi-discrete approximations in inverse dynamic problems Modeling
and control in mechatronics
General
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