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

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

Ivan Nazarenko, Viktor Gaidaichuk, Oleg Dedov, Oleksandr Diachenko

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.


Keywords


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

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References


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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.

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.


GOST Style Citations


High frequency modes meshfree analysis of Reissner-Mindlin plates / Bui T. Q., Doan D. H., Van Do T., Hirose S., Duc N. D. // Journal of Science: Advanced Materials and Devices. 2016. Vol. 1, Issue 3. P. 400–412. doi: https://doi.org/10.1016/j.jsamd.2016.08.005 

Cho D. S., Vladimir N., Choi T. M. Numerical procedure for the vibration analysis of arbitrarily constrained stiffened panels with openings // International Journal of Naval Architecture and Ocean Engineering. 2014. Vol. 6, Issue 4. P. 763–774. doi: https://doi.org/10.2478/ijnaoe-2013-0210 

Lee J. K., Jeong S., Lee J. Natural frequencies for flexural and torsional vibrations of beams on Pasternak foundation // Soils and Foundations. 2014. Vol. 54, Issue 6. P. 1202–1211. doi: https://doi.org/10.1016/j.sandf.2014.11.013 

Jia Y., Seshia A. A. An auto-parametrically excited vibration energy harvester // Sensors and Actuators A: Physical. 2014. Vol. 220. P. 69–75. doi: https://doi.org/10.1016/j.sna.2014.09.012 

Eigenstructure assignment in undamped vibrating systems: A convex-constrained modification method based on receptances / Ouyang H., Richiedei D., Trevisani A., Zanardo G. // Mechanical Systems and Signal Processing. 2012. Vol. 27. P. 397–409. doi: https://doi.org/10.1016/j.ymssp.2011.09.010 

Feedback linearisation of nonlinear vibration problems: A new formulation by the method of receptances / Zhen C., Jiffri S., Li D., Xiang J., Mottershead J. E. // Mechanical Systems and Signal Processing. 2018. Vol. 98. P. 1056–1068. doi: https://doi.org/10.1016/j.ymssp.2017.05.048 

Peng Z., Zhou C. Research on modeling of nonlinear vibration isolation system based on Bouc-Wen model // Defence Technology. 2014. Vol. 10, Issue 4. P. 371–374. doi: https://doi.org/10.1016/j.dt.2014.08.001 

Design and Development of a Test-Rig for Determining Vibration Characteristics of a Beam / Nikhil T., Chandrahas T., Chaitanya C., Sagar I., Sabareesh G. R. // Procedia Engineering. 2016. Vol. 144. P. 312–320. doi: https://doi.org/10.1016/j.proeng.2016.05.138 

Craster R. V., Kaplunov J., Pichugin A. V. High-frequency homogenization for periodic media // Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2010. Vol. 466, Issue 2120. P. 2341–2362. doi: https://doi.org/10.1098/rspa.2009.0612 

Masutage V. S., Kavade M. V. A Review Vibrating Screen and Vibrating Box: Modal and Harmonic Analysis // International Research Journal of Engineering and Technology (IRJET). 2018. Vol. 05, Issue 01. P. 401–403.

Svanadze M. M. 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. 2018. Vol. 172, Issue 2. P. 276–292. doi: https://doi.org/10.1016/j.trmi.2018.01.002 

Yang Z., He D. Vibration and buckling of orthotropic functionally graded micro-plates on the basis of a re-modified couple stress theory // Results in Physics. 2017. Vol. 7. P. 3778–3787. doi: https://doi.org/10.1016/j.rinp.2017.09.026 

Fu B., Wan D. Numerical study of vibrations of a vertical tension riser excited at the top end // Journal of Ocean Engineering and Science. 2017. Vol. 2, Issue 4. P. 268–278. doi: https://doi.org/10.1016/j.joes.2017.09.001 

Research of energy-saving vibration machines with account of the stress-strain state of technological environment / Nazarenko I. I., Dedov O. P., Svidersky A. T., Ruchinsky N. N. // The IX International Conference HEAVY MACHINERY HM 2017. Zlatibor, 2017. P. 14–15.

Maslov O. H., Nesterenko M. P., Molchanov P. O. 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. 2013. Issue 1 (36). P. 203–212.

Maslov A. G., Salenko J. S., Maslova N. A. Study of interaction of vibrating plate with concrete mixture // Visnyk KNU imeni Mykhaila Ostrohradskoho. 2011. Issue 2 (67). P. 93–98.

Nazarenko I. I., Dedov O. P., Svidersky A. T. 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, 2011. P. 1–4.







Copyright (c) 2018 Ivan Nazarenko, Viktor Gaidaichuk, Oleg Dedov, Oleksandr Diachenko

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ISSN (print) 1729-3774, ISSN (on-line) 1729-4061