Calculation of the Resonant Operating Modes of Centrifugal Compressor Impellers

Futin, V. A.; Evgen’ev, S. S.

doi:10.3103/s1068799820010195

Cited by 2 publications

(3 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…It represents an acoustic system consisting of high (1) and low pressure chambers (2), lined with specialized mineral wool boards of 50 mm thickness. An electrodynamic loudspeaker ( 5) is used as a source of dynamic impact on the test specimen (4). Excitation of the loudspeaker is carried out by a generator of sound frequencies.…”

Section: Results Of Experimental Studiesmentioning

confidence: 99%

“…Vibrations are a negative factor of impact on equipment, systems, apparatus and structure of products, as they reduce their performance and resource [1–9, etc.]. Vibrations of structural elements in the sound frequency range lead to the emission of acoustic vibrations (noise), which also violates the normal conditions of human activity [10, 11, etc.].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Transformational deformation models of continuous thin‐walled structural elements with support elements of finite sizes: Theoretical foundations, computational, and physical experiments

Paimushin,

Firsov,

Shishkin

et al. 2023

Z Angew Math Mech

View full text Add to dashboard Cite

A method of experimental study of forced bending vibrations of unfixed spans of continuous thin‐walled structural element fixed on rigid support elements of finite dimensions has been developed using instrumental means for registration of vibration acceleration amplitudes. The technique is realized on beams with different types of their fixing under the loading of one of the beam section with an external force that varies in time according to a harmonic law. Experimental dependences of amplitude values of vibration accelerations in specific points of certain spans of the beam on the frequency of external load have been obtained. These results indicate the passage of vibrations through the fixed sections due to the transformation of bending vibration modes of the loaded section into longitudinal transverse‐shift vibrations of the fixed sections during the transition across the boundary from the unfixed section to the fixed one (from the fixed to the unfixed section). For the theoretical study of the described phenomenon a transformational model of the flat beam deformation is constructed on the basis of the refined Timoshenko model with additional account of the deformability of the section with fixation to a rigid support element of finite length on one of its face surfaces. The corresponding equations of motion of the unfixed and fixed sections are derived. The corresponding kinematic and force conditions of their conjugation are formulated. On their basis, analytical solutions of two specific problems are found in the linear approximation. One‐dimensional finite elements for modeling the dynamic response of continuous beam of the considered class are also constructed. Numerical experiments have been carried out for a flat beam made of aluminum alloys D16AT, AMg‐6 and unidirectional fiber reinforced plastic. The presence of a significant transformation of the stress‐strain state parameters of the considered beams at the transition across the boundary from unfixed to fixed sections and a significant increase in the level of transverse tangential stresses on the fixed section of the beam in the vicinity of the interface of the unfixed section with the fixed one have been revealed.

show abstract

Section: Results Of Experimental Studiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Transformational deformation models of continuous thin‐walled structural elements with support elements of finite sizes: Theoretical foundations, computational, and physical experiments

Paimushin,

Firsov,

Shishkin

et al. 2023

Z Angew Math Mech

View full text Add to dashboard Cite

show abstract

“…Вибрации являются негативным фактором воздействия на оборудование, системы, аппаратуру и конструкцию изделий, снижая их работоспособность и ресурс [1][2][3][4]. Колебания элементов конструкций в звуковом диапазоне частот приводит к излучению ими акустических колебаний (шуму), что также нарушает нормальные условия жизнедеятельности человека [5,6].…”

Section: Introductionunclassified

Investigation of the Passage of Vibrations Through a Fixed Section of an Elongated Plate Caused By the Action of the Axial Force at the End

Paimushin,

Shishkin,

Gazizullin

et al. 2023

PSP

View full text Add to dashboard Cite

A method has been developed for the experimental study of forced elastic vibrations of a cantilevered thin-walled structural element in the form of a rod-strip, excited due to the passage of vibrations through the section of a finite length fixed along one of the surfaces caused by axial loading by a harmonic force applied to the end of the fixed section. The experimental dependence of the amplitude values of the vibration accelerations of the point at the end of the console on the frequency of the excited bending vibrations of the end of the rod is obtained, indicating the passage of vibrations through the fixing section of the finite length, which occurs due to the transformation of longitudinal vibrations in the loading zone into longitudinal-transverse-shear vibrations of the rod-strip in the fixing zone, followed by their transformation into predominantly bending vibrations of the cantilever part of the rod. For the theoretical study of the described phenomenon, a transformational model of deformation of the rod-strip is constructed, taking into account the deformability of the fastening section of finite length on the basis of the refined model of S. Timoshenko. The cantilever part of the rod is represented by the classical Kirchhoff-Love model, taking into account geometric nonlinearity in determining axial deformations. The kinematic conditions of coupling of the fixed and cantilever parts of the rod are formulated. On the basis of the Hamilton-Ostrogradsky variational equation, the equations of motion of the non-fixed and fixed parts of the rod, as well as the boundary conditions for them and the force condition of conjugation of the marked parts of the rod are obtained. Numerical experiments have been carried out for a rod-strip made of aluminum alloy D16AT, showing a noticeable passage of vibrations through the fixing section of the final length into the cantilever part of the rod with a decrease in the dynamic shear modulus of the material to a certain value.

show abstract

Calculation of the Resonant Operating Modes of Centrifugal Compressor Impellers

Cited by 2 publications

References 3 publications

Transformational deformation models of continuous thin‐walled structural elements with support elements of finite sizes: Theoretical foundations, computational, and physical experiments

Transformational deformation models of continuous thin‐walled structural elements with support elements of finite sizes: Theoretical foundations, computational, and physical experiments

Investigation of the Passage of Vibrations Through a Fixed Section of an Elongated Plate Caused By the Action of the Axial Force at the End

Contact Info

Product

Resources

About