Determination of stresses and strains in the shaping structure under spatial load

Authors

DOI:

https://doi.org/10.15587/1729-4061.2018.147195

Keywords:

computational model, shaping structure, spatial load, stress-strain state, concrete mix

Abstract

The computational model of the machine – environment system, taking into account the mutual influence of the working body and compaction mixture was developed. It is based on the condition of determining the contact forces of interaction between the subsystems and estimation of the ratio of the time of action and time of wave propagation. This approach is new, since it takes into account the real relationship between the dynamic parameters of the machine and the environment and degree of interaction. The study and determination of stresses and strains in time confirmed the hypothesis of their significant influence on the process. A fundamentally new result was revealed, which consists in the fact that the transition process should take into account the determination of parameters and locations of vibrators. The laws of stress and strain variations during spatial oscillations of the shaping surface were established. Modes of natural oscillations of the system are implemented with higher oscillation amplitudes and correspondingly lower frequency. And this opens up a real opportunity to reduce the energy intensity of the vibration machine. Numerical values of stresses and the nature of their distribution in the shaping surface, depending on the angle of the instantaneous action of the external force of vibrators, the presence of bending and torsional oscillations were obtained.

So under the condition of two excitation forces, the points of application of which are displaced relative to each other by ½ of the length of the structure, placing the force application points symmetrically at a distance of ¼ of the size of the structure on both sides allowed obtaining cophased and anti-phase directions of stresses and acting external force.

In calculations of vibration machines using shaping surfaces, it was proposed to take into account output numerical values of the amplitude-frequency mode of the oscillation exciter. Practical recommendations for the rational design of sections of shaping structures were developed and technological parameters were determined. To construct such shaping structures, the installation sites for vibrators were determined. The results obtained can be successfully used in related processes, for example, in the mining industry, as active surfaces for ore transportation, for the transfer of suspensions and solutions in the chemical industry

Author Biographies

Ivan Nazarenko, Kyiv National University of Construction and Architecture Povitroflotskyi аve., 31, Kyiv, Ukraine, 03037

Doctor of Technical Sciences, Professor, Head of Department

Department of machinery and equipment of technological processes

Viktor Gaidaichuk, Kyiv National University of Construction and Architecture Povitroflotskyi аve., 31, Kyiv, Ukraine, 03037

Doctor of Technical Sciences, Professor, Head of Department

Department of theoretical mechanics

Oleg Dedov, Kyiv National University of Construction and Architecture Povitroflotskyi аve., 31, Kyiv, Ukraine, 03037

PhD, Associate Professor

Department of machinery and equipment of technological processes

Oleksandr Diachenko, Kyiv National University of Construction and Architecture Povitroflotskyi аve., 31, Kyiv, Ukraine, 03037

Postgraduate student

Department of machinery and equipment of technological processes

References

  1. Bui, T. Q., Doan, D. H., Van Do, T., Hirose, S., Duc, N. D. (2016). High frequency modes meshfree analysis of Reissner-Mindlin plates. Journal of Science: Advanced Materials and Devices, 1 (3), 400–412. doi: https://doi.org/10.1016/j.jsamd.2016.08.005
  2. Cho, D. S., Vladimir, N., Choi, T. M. (2014). Numerical procedure for the vibration analysis of arbitrarily constrained stiffened panels with openings. International Journal of Naval Architecture and Ocean Engineering, 6 (4), 763–774. doi: https://doi.org/10.2478/ijnaoe-2013-0210
  3. Lee, J. K., Jeong, S., Lee, J. (2014). Natural frequencies for flexural and torsional vibrations of beams on Pasternak foundation. Soils and Foundations, 54 (6), 1202–1211. doi: https://doi.org/10.1016/j.sandf.2014.11.013
  4. Jia, Y., Seshia, A. A. (2014). An auto-parametrically excited vibration energy harvester. Sensors and Actuators A: Physical, 220, 69–75. doi: https://doi.org/10.1016/j.sna.2014.09.012
  5. Ouyang, H., Richiedei, D., Trevisani, A., Zanardo, G. (2012). Eigenstructure assignment in undamped vibrating systems: A convex-constrained modification method based on receptances. Mechanical Systems and Signal Processing, 27, 397–409. doi: https://doi.org/10.1016/j.ymssp.2011.09.010
  6. Zhen, C., Jiffri, S., Li, D., Xiang, J., Mottershead, J. E. (2018). Feedback linearisation of nonlinear vibration problems: A new formulation by the method of receptances. Mechanical Systems and Signal Processing, 98, 1056–1068. doi: https://doi.org/10.1016/j.ymssp.2017.05.048
  7. Peng, Z., Zhou, C. (2014). Research on modeling of nonlinear vibration isolation system based on Bouc-Wen model. Defence Technology, 10 (4), 371–374. doi: https://doi.org/10.1016/j.dt.2014.08.001
  8. Nikhil, T., Chandrahas, T., Chaitanya, C., Sagar, I., Sabareesh, G. R. (2016). Design and Development of a Test-Rig for Determining Vibration Characteristics of a Beam. Procedia Engineering, 144, 312–320. doi: https://doi.org/10.1016/j.proeng.2016.05.138
  9. Craster, R. V., Kaplunov, J., Pichugin, A. V. (2010). High-frequency homogenization for periodic media. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466 (2120), 2341–2362. doi: https://doi.org/10.1098/rspa.2009.0612
  10. Masutage, V. S., Kavade, M. V. (2018). A Review Vibrating Screen and Vibrating Box: Modal and Harmonic Analysis. International Research Journal of Engineering and Technology (IRJET), 05 (01), 401–403.
  11. Svanadze, M. M. (2018). On the solutions of quasi-static and steady vibrations equations in the theory of viscoelasticity for materials with double porosity. Transactions of A. Razmadze Mathematical Institute, 172 (2), 276–292. doi: https://doi.org/10.1016/j.trmi.2018.01.002
  12. Yang, Z., He, D. (2017). Vibration and buckling of orthotropic functionally graded micro-plates on the basis of a re-modified couple stress theory. Results in Physics, 7, 3778–3787. doi: https://doi.org/10.1016/j.rinp.2017.09.026
  13. Fu, B., Wan, D. (2017). Numerical study of vibrations of a vertical tension riser excited at the top end. Journal of Ocean Engineering and Science, 2 (4), 268–278. doi: https://doi.org/10.1016/j.joes.2017.09.001
  14. Nazarenko, I. I., Dedov, O. P., Svidersky, A. T., Ruchinsky, N. N. (2017). Research of energy-saving vibration machines with account of the stress-strain state of technological environment. The IX International Conference HEAVY MACHINERY HM 2017. Zlatibor, 14–15.
  15. Maslov, O. H., Nesterenko, M. P., Molchanov, P. O. (2013). Analytical determination of resonance frequency vibrations active working organ the cassette form. Zbirnyk naukovykh prats Poltavskoho natsionalnoho tekhnichnoho universytetu im. Yu. Kondratiuka. Ser.: Haluzeve mashynobuduvannia, budivnytstvo, 1 (36), 203–212.
  16. Maslov, A. G., Salenko, J. S., Maslova, N. A. (2011). Study of interaction of vibrating plate with concrete mixture. Visnyk KNU imeni Mykhaila Ostrohradskoho, 2 (67), 93–98.
  17. Nazarenko, I. I., Dedov, O. P., Svidersky, A. T. (2011). Design of New Structures of Vibro-Shocking Building Machines by Internal Characteristics of Oscillating System. The Seventh Triennial International Conference HEAVY MACHINERY HM 2011. Kraljevo, 1–4.

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Published

2018-11-13

How to Cite

Nazarenko, I., Gaidaichuk, V., Dedov, O., & Diachenko, O. (2018). Determination of stresses and strains in the shaping structure under spatial load. Eastern-European Journal of Enterprise Technologies, 6(7 (96), 13–18. https://doi.org/10.15587/1729-4061.2018.147195

Issue

Section

Applied mechanics