The Stability and Parametric Resonances in the System of Reut

Radin, V. P.; Chirkov, V. P.; Shchugorev, A. V.; Shchugorev, V. N.

doi:10.14489/hb.2018.11.pp.020-027

2018

DOI: 10.14489/hb.2018.11.pp.020-027

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The Stability and Parametric Resonances in the System of Reut

V. P. Radin¹,

V. P. Chirkov²,

A. V. Shchugorev³

et al.

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Cited by 5 publications

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Calculation of Parameters of Mechanical Systems With Harmonic Vibration

Popov¹

2021

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Parallel and series connections of mechanical power consumers are considered. According to the known parameters of systems and the disturbing harmonic effect, the velocities of the elements of mechanical systems and the forces applied to them are algebraically determined. Attention is paid to resonant modes, incl. resonance of forces and resonance of speeds. The use of a symbolic (complex) description of mechanical systems with forced harmonic vibrations (in a steady state) made it possible to abandon the extremely cumbersome and laborious calculation algorithm associated with solving differential equations and replace it with simple and visual algebraic operations. Due to this, the calculation time is reduced significantly. Vector diagrams, not being a necessary component of the study of mechanical systems, are of significant methodological importance, since they show quantitative and phase relationships between the parameters of systems.

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Calculation of Parameters of Mechanical Systems With Harmonic Vibration

Popov¹

2021

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CALCULATION OF PARAMETERS OF BRANCHED MECHANICAL SYSTEMS WITH HARMONIC VIBRATIONS. Continuation

Popov¹

2021

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Parallel-series and series-parallel connections of mechanical power consumers are considered. According to the known parameters of systems and the disturbing harmonic effect, the velocities of the elements of mechanical systems and the forces applied to them are algebraically determined. For the considered branched mechanical schemes, the classical methods based on solving second-order differential equations become many times more complicated and require solving systems of equations that reduce to higher-order differential equations. The use of a symbolic (complex) description of mechanical processes and systems makes it possible to use instead simple and compact algebraic methods, the complexity of which is ten times less. Vector diagrams, not being a necessary component of the study of mechanical systems, are of significant methodological importance, since they show quantitative and phase relationships between the parameters of systems.

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Stability of a Multi-Span Fluid-Conveying Pipe on Elastic Supports

Radin¹,

Chirkov²,

Poznyak³

et al. 2022

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A stability of a multi-span cantilevered fluid-conveying pipe supported by elastic supports is investigated. The equation of disturbed motion is solved with using the modal decomposition and Bubnov–Galerkin method. The natural frequencies and modes are found by the method of initial parameters. Depending on the stiffness of elastic supports, on the plane of the parameters characterizing the velocity and mass per unit length of the flowing fluid, the boundary of the stability is constructed.

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The Stability and Parametric Resonances in the System of Reut

Cited by 5 publications

References 0 publications

Calculation of Parameters of Mechanical Systems With Harmonic Vibration

Calculation of Parameters of Mechanical Systems With Harmonic Vibration

CALCULATION OF PARAMETERS OF BRANCHED MECHANICAL SYSTEMS WITH HARMONIC VIBRATIONS. Continuation

Stability of a Multi-Span Fluid-Conveying Pipe on Elastic Supports

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