Modification of the differential equations of oscillation of cores at impact
by
Ivan Zhukov
Siberian state university of industry, Novokuznetsk city, Russia
Coauthors: Leonid Dvornikov

One of the important problems at creation of machines of shock action is the problem about longitudinal impact of cores. Transformation of kinetic energy it is brisk in energy of longitudinal fluctuations of a wave guide at longitudinal impact and distribution of waves longitudinal fluctuations in details of the shock mechanism are described by the equations of the one-dimensional wave theory formulated by Saint-Venant. In a real practice of a detail of shock units of mechanisms have the complex geometrical form: forming lateral surfaces curvilinear, details have various apertures or cavities, and shock end faces are not flat. In such cases the assumption of Saint-Venant's theory, that during deformation flat cross-section sections remain flat, it is rather doubtful, since together with longitudinal fluctuations arise also cross-section. Therefore attempts of updating of Saint-Venant's differential equation in view of cross-section fluctuations have been undertaken. The modified equations received by corrective Rayleigh's action show, that the decision depends on the big number of mechanical parameters and features of geometry of cores. And from this point of view regulations about volume, that Rayleigh's amendment is most essential, it is considered classical at the account of cross-section deformation of cores at impact.

Date received: March 31, 2007