Advanced Problem in Mechanics III
Proceedings of the XLIX International Summer School-Conference “Advanced Problems in Mechanics”, 2021, St. Petersburg, Russia
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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
Nonlinear Dynamics of a Micromechanical Non-Contact Induction Suspension
The article constructs and studies a nonlinear electromechanical model of the motion of a microscale conductive non-deformable ring in a non-contact electromagnetic induction suspension. The equilibrium positi...
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Article
Differential Resonant MEMS Accelerometer: Synchronization Characteristics of Weakly Coupled Microbeam Sensing Elements
In this work, we study the conditions and scenarios for synchronizing the oscillations of weakly coupled microbeam elements of a differential resonant microelectromechanical systems (MEMS) accelerometer that o...
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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
Model of a Micromechanical Mode-Localized Accelerometer with an Initially Curved Microbeam as a Sensitive Element
The present study is devoted to mathematical modeling of the proposed new architecture of a microelectromechanical mode-localized acceleration sensor (MEMS accelerometer/gravimeter) with a sensitive element in...
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Book and Conference Proceedings
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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
Electrostatic comb drive actuators with variable gap: nonlinear dynamics at primary resonance
This paper provides an extensive study of the nonlinear dynamics of a variable gap electrostatic comb-drive. The resonant response, as well as the force response of the comb-drive were obtained and analyzed ta...
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Article
Nonlinear Dynamics of the Hemispherical Resonator of a Rate-Integrating Gyroscope under Parametric Excitation of the Free Precession Mode
A model of the oscillations of a sensitive element of a hemispherical rate-integrating gyroscope is considered taking into account the geometric and electric nonlinearities of the system. The equations of moti...
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Article
Nonlinear Modal Interaction between Longitudinal and Bending Vibrations of a Beam Resonator under Periodic Thermal Loading
The paper investigates the nonlinear modal interaction of longitudinal and flexural vibrations of a beam resonator under periodic thermal loading. The mode of parametric oscillations is investigated under cond...
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Article
The Influence of Relaxation Processes on the Thermoacoustics of Materials
In the present article it is shown that the presence of defects in a material for a certain duration of heat exposure leads to the necessity of taking into account the dependence of the linear thermal expansio...
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Article
Analysis of imperfections sensitivity and vibration immunity of MEMS vibrating wheel gyroscope
This paper presents the results of modeling the nonlinear dynamics of MEMS vibrating wheel gyroscope. Diagrams of possible stationary oscillatory modes are constructed when primary oscillations are excited fro...
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Article
Nonlinear dynamics of MEMS resonator in PLL-AGC self-oscillation loop
The work is devoted to the study of a MEMS resonator dynamics under the action of phase-locked and automatic gain control loops. Particular attention is directed to the study of the nonlinearity factor of the ...
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Article
Effect of Nonlinearity on Mode Localization Phenomena in Dynamics of MEMS Resonant Sensor with Two Electrostatically Coupled Microbeams
In the presented study a model of a microelectromechanical accelerometer with two moving beam elements located between two fixed electrodes is proposed. The action of the transfer forces of inertia in the long...
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Article
An Analysis of the Hydrogen Embrittlement Resistance of Aluminum Alloys
By means of quantum chemistry, it is established that tungsten and rhenium are most effective alloying elements capable of increasing the resistance of aluminum alloys to hydrogen-induced embrittlement. Tungst...
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Article
The Effect of Hydrogen on Fluctuation Embrittlement of Aluminum
In this paper, we describe the main processes occurring during the generation of vacancies in aluminum in the presence of hydrogen by ab initio methods using the SCAN functional. Hydrogen is shown to reduce th...
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Chapter and Conference Paper
Quenching of Non-stationary Wave Due to Structural Transformation of Material
In the present paper a new model for describing structural transformation of solids under external impact is discussed. We suppose that the material consists of two crystalline lattices with close physical pro...
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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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Chapter and Conference Paper
Dynamics and Elastic Stability of an Electrostatically Actuated Microbeam Under Ultrafast Laser Pulse
Laser-induced vibrations and elastic stability of a clamped-clamped beam electrostatic transducer are considered under ultrafast laser pulse. It is assumed that laser pulse acts as volume heat generation with ...
