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. ContentsGeneralized formulations of parabolic and
hyperbolic problemsVariational principles in linear elasticityVariational statements in
structural mechanicsRitz method for initial-boundary value problemsVariational and projection
techniques with semi-discretizationIntegrodifferential approach to eigenvalue problemsSpatial
vibrations of elastic beams with convex cross-sectionsDouble minimization in optimal control
problemsSemi-discrete approximations in inverse dynamic problemsModeling and control in
mechatronics
