Download e-book for kindle: Dynamics of Mechanical Systems with Variable Mass by Hans Irschik, Alexander K. Belyaev

By Hans Irschik, Alexander K. Belyaev

ISBN-10: 3709118085

ISBN-13: 9783709118085

ISBN-10: 3709118093

ISBN-13: 9783709118092

The publication offers up to date and unifying formulations for treating dynamics of other different types of mechanical structures with variable mass. the place to begin is evaluate of the continuum mechanics kinfolk of stability and leap for open platforms from which prolonged Lagrange and Hamiltonian formulations are derived. Corresponding ways are said on the point of analytical mechanics with emphasis on structures with a position-dependent mass and on the point of structural mechanics. designated emphasis is laid upon axially relocating constructions like belts and chains and on pipes with an axial circulate of fluid. Constitutive relatives within the dynamics of platforms with variable mass are studied with specific connection with modeling of multi-component combos. The dynamics of machines with a variable mass are taken care of intimately and conservation legislation and the soundness of movement should be analyzed. Novel finite point formulations for open platforms in coupled fluid and structural dynamics are presented.

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Johnson, and A. Ruina. A chain that speeds up, rather than slows, due to collisions: how compression can cause tension. American Journal of Physics, 79(7):723–729, 2011. K. D. J¨ohnk. Continuum Methods of Physical Modeling. Springer-Verlag, Berlin Heidelberg, 2004. H. Irschik. On the necessity of surface growth terms for the consistency of jump relations at a singular surface. Acta Mechanica, 162(1-4):195–211, 2003. H. Irschik. A treatise on the equations of balance and on the jump relations in continuum mechanics.

The additional, non-classical supply of mass due to the flow of mass through the control surface becomes, see (126), n · (u − v)ρ dS = μ s˙ su [m] = (184) S Further recall that only the upper part of the control surface in Fig. 2 contributes to the surface integral. Substituting (183) and (184), it is seen 44 H. Irschik and A. Humer ρ u = 0, v = s˙ ex , n = −ex , n · Σ = −N ex μ ex s = s(t) S u = v = 0, n = ex , n · Σ = 0 Figure 2. Non-material control volume S enclosing the hanging part of the inextensible chain.

Foundations of micropolar mechanics. Springer-Verlag, Berlin Heidelberg, 2012. L. Ericksen. Tensor fields. In S. Fl¨ ugge, editor, Prinzipien der Klassischen Mechanik und Feldtheorie, volume III/1 of Handbuch der Physik (Encyclopedia of Physics), pages 794–858. Springer-Verlag, Berlin G¨ ottingen Heidelberg, 1960. K. Federhofer. Dynamik sich a¨ndernder Massen. Mitteilungen des Deutschen Ingenieur-Vereins in M¨ ahren, Hauptvereines deutscher Ingenieure in der tschechoslowakischen Republick, 11(6–7):83–86, 115–118, 1922.

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Dynamics of Mechanical Systems with Variable Mass by Hans Irschik, Alexander K. Belyaev

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