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BSU bulletin. Mathematics, Informatics

Bibliographic description:
Badmaev B. В.
,
Dembelova Т. S.
,
Makarova D. N.
,
Vershinina E. D.
ТНЕОRУ OF ACOUSТIC RESONANТ METHOD FOR MEASURING ТНЕ SНEAR ELASТICIТY OF LIQШDS // BSU bulletin. Mathematics, Informatics. - 2018. №4. . - С. 37-47.
Title:
ТНЕОRУ OF ACOUSТIC RESONANТ METHOD FOR MEASURING ТНЕ SНEAR ELASТICIТY OF LIQШDS
Financing:
Работа выполнена в рамках государственного задания ИФМ СО РАН и частично поддержана грантом РФФИ № 18-48-030020 р_а.
Codes:
DOI: 10.18101/2304-5728-2018-4-37-47UDK: 532.133
Annotation:
Тhе article deals with the theory of using acoustic resonance method for measuring the low-frequency shear elasticity of liquids. Тhе acoustic resonant method is based on the application of а piezoquartz resonator which contacts with an interlayer of liquid covered with а solid cover plate. An expression for the complex shear of the resonant frequency was obtained from solving the proЫem of interaction in the sys­ tem of а piezoelectric quartz - а liquid interlayer - а cover-plate. Taking into ac­ count that а cover-plate, due to the weak Ьinding with the liquid interlayer , is prac­ tically at rest, we got the expressions for the real and imaginary shears of the reso­ nant frequency and for the components of the complex phase shear in the reflection ofshear wave from the boundary ofliquid and cover-plate. From the analysis ofthe expressions for the complex shear ofthe resonant frequency it follows that there are two methods for measuring the shear modulus of liquids. The first method is im­ plemented, when the liquid layer is much smaller than the length of shear wave. Тhе second method is based on measuring the limiting values of frequency shears at а complete attenuation ofthe shear wave in а thick layer ofliquid. We obtained the formulas for calculating the shear modulus. Both methods of measurement were experimentally implemented in this work and gave the concordant results. Тhе ex­ perimental curves of the dependence of the frequency shears on the inverse thick­ ness ofthe liquid interlayer agree well with the theoretical ones.
Keywords:
shear wave; piezoquartz; elasticity; phase; impedance; frequency; tan­ gent of mechanical losses angle; resonance; liquid.
List of references:
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