Open AccessOn a static solution to the contact interaction of a flexible rectangular in plane of a microshell with a rectangular in plane of microplate
Author(s) -
И. В. Папкова
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1745/1/012093
Subject(s) - isotropy , shell (structure) , plane (geometry) , homogeneous , nonlinear system , mechanics , classical mechanics , physics , materials science , mathematical analysis , geometry , mathematics , composite material , optics , statistical physics , quantum mechanics
The mathematical model of the contact interaction of a flexible rectangular in plane of a spherical microshell and a flexible rectangular microplate is constructed. The material of the shell and plate is elastic isotropic and homogeneous. Kirchhoff hypotheses are taken into account. A system of nonlinear partial differential equations is derived from the Hamiltonian energy principle on the basis of a modified couple stress theory. The contact pressure function was determined according to the theory of B.Ya. Cantor. Contact interaction of sensitive elements of micromechanical sensors of inertial information in the form of a micro-shell and micro-plate is investigated. A micro-shell is affected by a static, uniformly distributed load. The static solution is determined by the establishment method. A new phenomenon related to the loss of stability is obtained.