DOI 10.17586/0021-3454-2021-64-10-821-828
UDC 62-26
NATURAL VIBRATION FREQUENCY OF STRUCTURES FROM A MACHINE PROFILE CONNECTED WITH A CONCEALED CORNER
St. Petersburg Electrotechnical University "LETI", Department of Computer-Aided Design;
A. I. Karimov
St. Petersburg Electrotechnical University LETI, Department of Computer-Aided Design; Associate Professor
D. N. Butusov
Saint Petersburg State Electrotechnical University “LETI”, Saint Petersburg, 197376, Russian Federation; Associate Professor
V. G. Rybin
Saint Petersburg Electrotechnical University (ETU "LETI"), Saint Petersburg, 197376, Russian Federation; software engineer
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Abstract. Structures made of aluminum machine tools are widely used in 3D printers and CNC machines design. The designer must account not only for the static deformations of such structures, but also for vibration characteristics since they directly affect the quality of the device operation. A mathematical model of construction composed of two machine profiles in the form of a linear elastic hinge is proposed, and its parameters are experimentally determined. Comparison of results obtained using the proposed model as well as simulated by the finite element method in the Fusion 360 package with experimentally measured data is performed. The conclusion is made about the best correspondence of the proposed mathematical model to experimental data.
Keywords: frequency analysis, 3D printer, Lagrange equations, construction profile, design automation, structural rigidity
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