Calculation of a three-layer rod under the action of an instant-increasing load

The problems of calculating a three-layer rod under the action of instantly increasing loads are considered. The differential equations of oscillation of a three-layer rod under the action of dynamic loads are solved. The maximum coefficients of the deflection dynamics were determined for various ty...

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Bibliographic Details
Main Author: Bekchanovich, Babajanov Baltabay
Format: Conference Proceeding
Language:English
Subjects:
Deflection
Differential equations
Dynamic loads
Mathematical analysis
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Summary:The problems of calculating a three-layer rod under the action of instantly increasing loads are considered. The differential equations of oscillation of a three-layer rod under the action of dynamic loads are solved. The maximum coefficients of the deflection dynamics were determined for various types of fixing the ends of the beams, as well as during the transition to a two-layer and homogeneous rod. Calculations were also performed for different values of elastic characteristics of the bearing layers of the rod. The dependence of a dimensionless parameter depending on the time of action of the load and the reduced frequency of the rod with the coefficient of dynamic deflection is analyzed. It is established that changes of voltages bearing layers depend on a dimensionless parameter depending on the time of action of the load and the frequency of the rod, similar to the law of variation of the dynamic factor.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0153134