THE MECHANISM OF VIBRATIONAL MOVEMENT OF TANGENT STRUCTURES IN CLOSED VOLUMES
DOI:
https://doi.org/10.30837/2522-9818.2020.12.134Keywords:
vibration displacement, effect, frequency, fluctuation, tangent construction, friction force, internal element, external element, cylinderAbstract
The subject of research in the article is the process of vibratory movement of tangent structures in closed volumes (pipes). The purpose of this work is to investigate the mechanism of vibrational movement of tangent structures in closed volumes (pipes). The following tasks are solved in the article: to study the oscillating motion of a tangent structure consisting of a cantilever rod with a fixed end at the base, and by means of supports connected by dry friction with two parallel rough planes; the experimental method confirms the possibility of vibrational movement of the inner element of the tangent structure along the cylinder. The following methods are used: mathematical modeling and experimental study. The following results were obtained: a mathematical model of motion of a tangent structure is proposed, consisting of a cantilever rod with a fixed end, which by means of supports is connected by the force of dry friction with two parallel rough planes when applying a vibrating force perpendicular to the longitudinal axis of the structure; confirmed the possibility of vibration movement of the inner element of the tangent structure (cantileverly mounted rod in a cylindrical basis) along the outer element of the tangent structure (cylinder) when applying a vibrating force perpendicular to the longitudinal axis of the rod. Conclusions: 1) the effect of forced oscillations on tangent structures with structural asymmetry of the inner element of the tangent structure may cause the effect of vibrating movement of the inner element of the tangent structure relative to the outer element; 2) possible vibration movement of the inner element of the tangent structure (cantileverly mounted rod in a cylindrical basis) along the outer element of the tangent structure (cylinder) at an angle between the longitudinal axis of the inner element and the direction of external vibration force, which is equal to 900; 3) possible stopping of the inner element of the tangent structure, in the absence of the action of external vibrating force, in the place of the outer cylinder, in which the effect of the external vibrating force has stopped.
References
Goncharevich, I., Frolov, K. (1998), The theory of vibration technique and technology, [Theory of vibration technique and technology], Moscow, Nauka, 320 р.
Blekhman, I. (1994), Vibration mechanics, [Vibratory mechanics], Moscow, Fizmatlit, 400 p.
Blekhman, I., Dzhanelidze, G. (1964), Vibrational displacement, [Vibration movement], Moscow, Nauka, 410 p.
Godlewski, S., Tekiel, A., Piskorz, W., Zasada, F. et al. (2012), "Supramolecular ordering of PTCDA molecules: The key role of dispersion forces in an unusual transition from physisorbed into chemisorbed state", ACS nano, Vol. 6, No. 10, P. 8536–8545.
Mikulionok, I. O.( 2011), "Pretreatment of recycled polymer raw material", Russian Journal of Applied Chemistry, Vol. 84, No. 6, P. 1105–1113.
Hopkins, J. C., Podgornik, R., Ching, W.-Y., French R. H. et al. (2015), "Disentangling the effects of shape and dielectric response in van der Waals interactions between anisotropic bodies", The Journal of Physical Chemistry, Vol. 119, No. 33, P. 19083–19094.
Tawfick, S., De Volder, M., Copic, D., Park, S.J. et al. (2012), "Engineering of Micro-and Nanostructured Surfaces with Anisotropic Geometriesand Properties", Advanced Materials, Vol. 24, No. 13, P. 1628–1674.
Vibration in technology: a reference. In 6 t. / Ed. Advice: V.N. Chelomei (previous), [Vibrations in Engineering: A Handbook] Moscow, Mechanical Engineering, 1981. Vol. 4. Vibration processes and machines, 509 p.
Blekhman, I. (2004), "About two resonant effects under the influence of high-frequency vibration on nonlinear systems", ["About two resonant effects under the influence of high-frequency vibration on nonlinear systems", Chemical Industry, Vol. 81, No. 7, P. 329–331.
Vibrations in technology: Handbook in 6 volumes. T.2. Oscillations of nonlinear mechanical systems. / Ed. I.I. Blekhman, [Vibrations in technology: a Handbook in 6 volumes T.2. Oscillations of nonlinear mechanical systems], Moscow, Engineering, 1979, 351 p.
Vasiliev, A., Machikhin, S., Strelyukhina, A., Ospanov, A. (2017), "Particle motion along a non-harmonically oscillating plane", Storage and processing of agricultural raw materials, No. 8, P. 36–46.
Vasiliev, A., Bredikhin, S., Andreev, V. (2019), "On the issue of vibrational displacement during inharmonious vibrations of the working surface", Processes and Food Production Equipment "To the question of vibrational displacement during inharmonious oscillations of the working surface", No. 2, Р. 42–48.
Eliseev, A., Eliseev, S. (2014), "Determination of contact reactions in composite solids under dynamic loads taking into account non-holding bonds", Modern technologies. System analysis, ["Determination of contact reactions in composite solids under dynamic loads taking into account non-holding bonds", Modern technologies. System analysis. Modeling], Modeling, - No. 1, P. 45–54.
Chernousko, F., Bolotnik, N. (2010), "Mobile robots controlled by the movement of internal bodies", Transactions of Institute of Mathematics and Mechanics, Vol. 16, No. 5, P. 213–222.
Breguet, J.-M., Clavel, R. (1998), "Stick and slip actuators: design, control, performances and applications", Proc. Inter. Symp. on Micromechatronics and Human Science (MHS), IEEE, N.Y., P. 89–95.
Schmoeckel, F., Worn, H. (2001), "Remotedly controllable mobile microrobots acting as nano positioners and intelligent tweezers in scanning electron microscopes (SEMs)", Proc. Inter. Conf. on Robotics and Automation, IEEE, N.Y., P. 3903–3913.
Vartholomeos, P., Papadopoulos, E. (2006), "Dynamics, design and simulation of a novel microrobotic platform employing vibration microactuators", Journal of Dynamic Systems, Measurement and Control, Vol. 128, No. 1, P. 122–133.
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