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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v28.i4.50
12 pages

The Effect of Weak Shock Waves on Elastic Barriers with Constructive Heterogeneity

L. B. Lerman
Special Design and Engineering Office of S. P. Timoshenko's Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

RÉSUMÉ

The unsteady combined problem of acousto-elasticity for layered shielding constructions, stiffened by a system of rod supports, is solved. The mechanical system under considered is decomposed into discrete units. The motion of each component is described by the corresponding differential equations. The unknown forces of interaction of the elastic units are determined from the additional conditions of joint deformations of the plate and supports. The surface load is determined from the conditions of continuous contact of the barrier and the media during the simultaneous motion. These conditions are presented in the form of systems of functional equations. Representation of the unknown functions, loads and reactions in the form of series with respect to the vector functions, describing the eigenmodes of the discrete components of the system, including the volumes filled by gas, enables the functional equations to be reduced to the infinite system of integro-differential equations of the Volterra type. The solution of the system is constructed numerically by the successive approximation method with the system of equations of the dynamic contact problem solved at every step of the iterative process. The stress-strain characteristics of the system's units on exposure to the stepwise weak shock waves are determined for some particular values of the problem's parameters. It is shown that the influence of the surrounding medium is evident even at the first extremums. The influence on the deflection and on the rate of deflection is found to be more considerable than on the deformation and the rate of deformation. It is found that, with the pressure jump at the wave front taken for the intensity of the static load, the maximum amplification factor is close to four, and depends on the flexural rigidity of the plate.


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