Numerical simulation of the behavior of a three-layer rectangular plate with vertical impact of liquid

Mathematics. Physics. Mechanics


Аuthors

Krupenin A. M.*, Martirosov M. I.

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: zeus-russ@yandex.ru

Abstract

Object: the object of the research is dynamic characteristics of the three-layer rectangular symmetric plate with isotropic filler.
Topic: the research of impact interaction of a three-layer rectangular symmetric plate with isotropic filler of liquid.
Aim: to examine the influence of various factors on the dynamic characteristics of a three-layer rectangular symmetric plate with isotropic filler at a vertical fall of the liquid.
Researchmethod: dynamic characteristics of a three-layer rectangular symmetric plate with isotropic fillerinvestigated numerically in the software complex ANSYS AUTODYN, thus permitting the equations are equations of conservation of energy, momentum and mass. The solution is explicitsolver. The task is placed in the axisymmetric formulation of coherent, i.e. equations for plates and liquid are solved simultaneously. The obtained results are processed in software complexMathCad 14.
Results: as a result of the work are obtained dynamic characteristics of a three-layer rectangular symmetric plate with isotropic filler when it hit the water with different initial velocity of interaction, taking into account the gravitational forces and without. The air gap between the plate and the liquid are not taken into account.
Conclusions: the influence of gravitational forces depends on the initial velocity of the body, and the geometry of the model. When increasing the initial speed of interaction of the influence of gravitation on the dynamic characteristics of rapidly decreasing. On the considered section of the velocities of the initial interaction dependence of displacements, velocities, accelerations and stresses on the initial velocity of uniform. Maximum stresses appear in the first carrier layer of about 50 mm from the center of the plate (~1/5 a). Stresses in the fillera ten times less stress in the carrier layers, which allows to use more light and less durable materials. Maximum stresses in the second carrier layer a half times less than the maximum stress in the first, that allows to make in the construction of asymmetry in thickness.

Keywords:

impact, three-layered plate, interaction with liquid, numerical simulation

References

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  3. Gorshkov A. G., Starovojtov Je. I., Jarovaja A. V.Mekhanikasloistykhvyazkouprugoplasticheskikhelementovkonstruktsi(Mechanics of laminated vyazkouprugoplasticheskikhelements of constructions), Moscow, Fizmatlit, 2005, 576 p.
  4. Hirano Yoichi, Miura Koryo. Water impact accelerations of axially symmetric bodies, J. Spacecraft and Rockets, 1970, vol.7, no.6, pp. 762-764.

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