ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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vol 67 / February, 2024
Article

DOI 10.17586/0021-3454-2020-63-5-444-450

UDC 681.586

Dynamics Analysis of the Membrane Elastic Element with Attached Concentrated Mass

V. L. Tkalich
ITMO University; Professor


M. E. Kalinkina
ITMO University, Saint Petersburg, 197101, Russian Federation; Postgraduate


A. G. Korobeynikov
Saint Petersburg Branch Organization of the Russian Academy of Sciences “Institute of Earth Magnetism, Ionosphere and Radio waves named after N.V. Pushkov RAS”;ITMO University, Saint Petersburg, 197101, Russian Federation ; Deputy Director for Science


O. I. Pirozhnikova
ITMO University; Ph.D.


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Abstract. The dynamics of unsteady oscillations of a rectangular membrane with one and two attached masses is studied. Adequate mathematical models are constructed using methods for solving direct problems in the mechanics of an elastically deformable body, namely, the Volterra equations and the Cramer method. It is noted that the obtained solution of the direct problem has an experimental application to the problems of analy-sis of displacements, deflections, deformations and stresses during unsteady vibrations of membranes with at-tached concentrated mass used in switching elements (membrane reed switches) and micromechanical pres-sure sensors. Based on the developed mathematical models, calculations of membrane elastic elements of a patented series of switching elements and pressure sensors are performed.
Keywords: membrane element, attached masses, concentrated mass, loading force, non-stationary oscillations, deflection value, Volterra equations, Cramer method, direct problem solution

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