The book presents up-to-date and unifying formulations for treating
dynamics of different types of mechanical systems with variable
mass. The starting point is overview of the continuum mechanics
relations of balance and jump for open systems from which extended
Lagrange and Hamiltonian formulations are derived. Corresponding
approaches are stated at the level of analytical mechanics with
emphasis on systems with a position-dependent mass and at the level
of structural mechanics. Special emphasis is laid upon axially
moving structures like belts and chains and on pipes with an axial
flow of fluid. Constitutive relations in the dynamics of systems
with variable mass are studied with particular reference to
modeling of multi-component mixtures. The dynamics of machines with
a variable mass are treated in detail and conservation laws and the
stability of motion will be analyzed. Novel finite element
formulations for open systems in coupled fluid and structural
dynamics are presented.
General
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