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11.
Translated from Algebra i Logika, Vol. 29, No. 1, pp. 124–125, January–February, 1990. 相似文献
13.
A particular exact solution of the transonic equation is considered as an extension of Frankl's solution [1] for the flow at some distance from the profile. The derived generalization defines the flow over some half-body of a gas stream at a velocity that is subsonic at infinity. 相似文献
17.
There is examined the problem of vibration of a stamp of arbitrary planform occupying a space Ω and vibrating harmonically in an elastic medium with plane boundaries. It is assumed that the elastic medium is a packet of layers with parallel boundaries, at rest in the stiff or elastic half-space. Contact of three kinds is realized under the stamp: rigid adhesion in the domain Ω 1, friction-free contact in domain Ω 2, there are no tangential contact stresses, and “film” contact without normal force in domain Ω 3 (there are no normal contact stresses, only tangential stresses are present.). It is assumed that the boundaries of all the domains have twice continuously differentiable curvature and Ω = Ω 1 Ω 2 Ω 3. The problem under consideration assumes the presence of a static load pressing the stamp to the layer and hindering the formation of a separation zone. Moreover, a dynamic load, harmonic in time, acts on the stamp causing dynamical stresses which are of the greatest interest since the solution of the static problem is obtained as a particular case of the dynamic problem for ω = 0 (ω is the frequency of vibration). The general solution is constructed in the form of a sum of static and dynamic solutions. A uniqueness theorem is established for the integral equation of the problem mentioned and for the case of axisymmetric vibration of a circular stamp partially coupled rigidly to the layer, partially making friction-free contact, the problem is reduced to an effectively solvable system of integral equations of the second kind, which reduce easily to a Fredholm system. These results are an extension of the method elucidated in [1], where by the approach in [1] must be altered qualitatively to obtain them. 相似文献
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