Open AccessContact interaction of NEMS shell elements in a color noise field
Author(s) -
И. В. Папкова,
E. Yu. Krylova,
Anton V. Krysko
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/747/1/012059
Subject(s) - isotropy , classical mechanics , shell (structure) , basis (linear algebra) , kinematics , physics , spherical shell , field (mathematics) , rotation (mathematics) , mechanics , mathematics , geometry , optics , materials science , pure mathematics , composite material
A mathematical model of behavior a spherical size-dependent shell and plate taking into account contact interaction is constructed. The effect of the color noise field on the mechanical system is taken into account. The following hypotheses were taken as initial hypotheses: the shell and plate material is isotropic, the Cosserat elastic pseudo-continuum with constrained particle rotation, and the Kirchhoff – Love kinematic model. The equations of motion are obtained on the basis of the following theories: Theodore von Karman (geometric non-linearity), B.Ya.Cantor theory (accounting for contact interaction).