Features of application of simplified method of power calculation of plane trusses under conditions of forced oscillations

  • Yu. S. Kholodniak Donbass State Engineering Academy (DSEA), Kramatorsk
  • S. V. Podliesnyi Donbass State Engineering Academy (DSEA), Kramatorsk
  • S. V. Kaporovych Donbass State Engineering Academy (DSEA), Kramatorsk
Keywords: plane trusses, forced oscillations, mathematical model, resonant frequencies, power calculations.

Abstract

Kholodniak Yu. S., Podliesnyi S. V., Kaporovych S. V. Features of application of simplified method of power calculation of plane trusses under conditions of forced oscillations // Herald of the DSEA. – 2019. – № 2 (46). – Р. 103–113.

The analysis of existing methods of power calculation of trusses under the influence of forced oscillations is performed. When considering the forced oscillations of flat trusses, two-dimensional models are used, which are complex for wide practical use. Their implementation requires in-depth mathematical training and complex computational tools. Therefore, they are difficult to apply in normal engineering practice. Simplified techniques oscillating force analysis of trusses does not exist. The aim of this work is to develop a simplified two-dimensional mathematical model of forced oscillations of flat trusses, followed by the use of this model in their power calculations. The mathematical model proposed in this paper describes the oscillations of a weightless truss with a point mass with simultaneous action of vertical and horizontal harmonic disturbing forces on them. The model is based on the method of forces, establishes a link between the movements of the trusses and the forces that act on it. Together with the model, the dependences for calculating the resonant frequencies of the oscillatory system are obtained. The performed developments allow to determine the dynamic characteristics of the oscillatory process and to calculate the strength, stiffness and stability of the truss. The method of such calculation is implemented in Mathcad15 and has been successfully tested on a number of educational tasks. The results of the work can be useful for students and teachers of technical universities, as well as practitioners performing power calculations.

Author Biographies

Yu. S. Kholodniak, Donbass State Engineering Academy (DSEA), Kramatorsk

candidate of technical science, associate professor

S. V. Podliesnyi, Donbass State Engineering Academy (DSEA), Kramatorsk

candidate of technical science, associate professor, dean

S. V. Kaporovych, Donbass State Engineering Academy (DSEA), Kramatorsk

candidate of technical science, senior lecturer

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Published
2019-10-01
How to Cite
Kholodniak, Y., Podliesnyi, S., & Kaporovych, S. (2019). Features of application of simplified method of power calculation of plane trusses under conditions of forced oscillations. HERALD of the Donbass State Engineering Academy, (2 (46), 103-113. https://doi.org/10.37142/1993-8222/2019-2(46)103