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Article
Internal resonance between transverse vibration modes of a 2D material nanostrip under laser opto-thermal excitation
In this work, the nonlinear dynamics of opto-thermally excited oscillations of a nanostrip made of a two-dimensional material is studied. Based on geometrically nonlinear equations of coupled longitudinal-tran...
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Article
Gyroscopically Coupled In-Plane and Out-of-Plane Vibrations of Rotating Hollow Circular Plate: Case of In-Plane Axis of Rotation
In this work, we construct and study a model of the coupled plane-transverse vibrations of a circular thin plate with a concentric hole under the action of Coriolis and centrifugal inertial forces caused by ro...
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Article
Symmetry Breaking and Multistability of Electrostatically Actuated Annular Microplates
The article investigates the nonlinear problem of statics of a hollow circular microplate in the electrostatic field of two electrodes. Using the assumptions of the geometrically nonlinear Karman model, partia...
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Article
On Thermo-Optically Excited Parametric Oscillations of Microbeam Resonators. II
The present article is the second part of our study of the nonlinear dynamics of parametrically excited bending vibrations of a microbeam fixed at both ends, a basic sensitive element of a promising class of m...
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Article
On Opto-Thermally Excited Parametric Oscillations of Microbeam Resonators. I
The present work is the first part of a study of nonlinear dynamics of parametrically excited transverse oscillations of a clamped-clamped microbeam (the basic sensory element of a promising class of microsens...
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Article
Nonlinear Dynamics of a Mode-Localized MEMS Accelerometer with Beam Sensing Elements
A model of a microelectromechanical accelerometer with two movable beam elements located between two fixed electrodes is proposed. The action of the translational forces of inertia in the longitudinal directio...
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Article
Lamb Problems and Related Problems in Dynamics: a Review
The solution to the internal and external Lamb problems originating from a concentrated force applied to the free boundary of an elastic half-space (half-plane) is analyzed. Some related problems are considere...
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Article
SEISMIC BARRIERS FOR PROTECTION AGAINST SURFACE AND HEADWAVES: MULTIPLE SCATTERS AND METAMATERIALS
Perspective types of seismic barriers used to protect buildings and structures from the influence of Rayleigh, Rayleigh–Lamb, and Love acoustic surface waves, as well as head SP waves are considered. The barri...
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Article
Classical Kapitsa’s problem of stability of an inverted pendulum and some generalizations
The classical Kapitsa’s problem of stability of an inverted pendulum subjected to vertical vibration of the support and some generalizations are investigated. The asymptotic method of two-scale expansions allo...
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Article
Long-Wave Vibrations and Long Waves in an Anisotropic Plate
Free vibrations and plane waves are analyzed in the linear approximation for a thin elastic, anisotropic infinite plate having constant thickness. A general anisotropy described by 21 elastic moduli is conside...
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Article
FLEXURAL RIGIDITY OF MULTILAYER PLATES
The flexural rigidity of a thin elastic multilayer plate with transversely isotropic layers is considered. If the rigidity of the layers is very different, the classical model based on the hypothesis of a stra...
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Article
Theoretical and Experimental Investigation of a Laser-Induced Photoacoustic Effect near a Hole in Internally Stressed Metal Plates
This paper is an experimental and theoretical study of changes in a laser-induced photoacoustic signal near a hole in metal plates of D16 aluminum alloy. The process of photoacoustic signa...
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Article
Nonlinear Photoacoustic Response on Mechanical Stresses in the Vicinity of a Hole in a D16 Aluminum-Alloy Plate
Characteristics of a photoacoustic signal depending on mechanical stresses in the vicinity of a hole in a D16 aluminum-alloy plate have been analyzed. A new nonlinear photoacoustic effect was found that consis...
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Article
Two-dimensional linear models of multilayered anisotropic plates
A two-dimensional model describing the multilayered anisotropic plate deformations is proposed. The plate is assumed to consist of some orthotropic layers with arbitrary orientation of axes relative to the pla...
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Article
Estimation of the Performance Level of a Stretchable Plate Weakened by a Transverse Crack
We considered a rectilinear crack in a thin elastic plate in this work. Stretching the plate in the direction perpendicular to the crack, compressive stresses appear in the vicinity of the crack, which lead to...
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Chapter and Conference Paper
Development of the Theory of Multicomponent Media for Describing Dynamic Processes in Materials of Complex Rheology
In the present paper we consider the problem of describing the dynamics of material with complex rheology, when it is necessary to take into account that it consists of several subsystems with different relaxa...
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Article
A New Model of the Electron Gas Effect on the Thermoacoustics of Conductors under Laser Irradiation
A two-component model which accounts for electron gas pressure is proposed for describing the dynamics of thermoelastic and thermoacoustics effects in laser-irradiated conductors. The model medium represents t...
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Article
Chemical Preparation of the Surface of a Porous Nickel Matrix for Conducting the Synthesis of TiC Nanolayer
The features of the porous nickel surface preparation for conducting the chemical processes of nanostructuring the dispersed phase TiC on the nickel surface were studied.
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Chapter
Two-Dimensional Model of a Plate, Made of Material with the General Anisotropy
A new two-dimensional linear model of the second order accuracy describing deformations of an anisotropic heterogeneous in the thickness direction plate is proposed. The case of the general anisotropy with 21 ...
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Article
Stability of a Vertical Rod on a Vibrating Support
This work contains a generalization of Kapitsa’s classical problem. The stability of the vertical position of a flexible rod with a lower support point under gravity and vibrations is considered. It has been s...
