Consideration of shear, rotational inertia and compressive force during transverse vibrations of structural beam elements
1
National University "Odessa Polytechnic"
2
Odessa National Maritime University
Submission date: 2023-03-28
Final revision date: 2023-09-12
Acceptance date: 2023-11-29
Online publication date: 2023-12-19
Publication date: 2023-12-19
Diagnostyka 2024;25(1):2025101
KEYWORDS
allowance forshear and rotational inertiaFourier method of separation of variablesdetermination of refined vibration frequencies of structural beam elements
TOPICS
ABSTRACT
The procedure for taking into account shear and rotational inertia in the case of transverse vibrations of beam elements of material handling vehicles with different conditions of fastening (support) is considered. The dynamic model of the rod element is supplemented with compressive forces with a fixed line of action and monitors the angle of rotation of the rod. The Fourier method of separation of variables in the harmonic vibrations of beams is applied. This made it possible to obtain a differential equation, kinematic and static parameters in the amplitude state. The resulting differential equation is integrated, the fundamental functions are normalized, and the complete solution is presented in matrix form with initial parameters. Four cases of fundamental functions are revealed. For beam elements with different support conditions, the vibration frequency has been refined. With hinged support, the first 5 frequencies of this work coincide with the frequencies obtained by another approach.
FUNDING
The source of financing are own funds of the authors.
REFERENCES (33)
2.
Makeev VP, Grinenko NI, Pavlyuk YS. Statistical problems of the dynamics of elastic structures; 1984.
5.
Orobey V, Daschenko O, Kolomiets L, Lymarenko O. Stability of structural elements of special lifting mechanisms in the form of circular arches. Eastern-European Journal of Enterprise Technologies 2018; 2(7(92): 4-10. https://doi.org/10.15587/1729-....
6.
Kolomiets L, Orobey V, Daschenko O, Lymarenko O, Ovcharov Y, Lobus R. Investigation of force factors and stresses at singular points of plate elements in special cranes. Eastern-European Journal of Enterprise Technologies 2018; 5(7(95): 6-12. https://doi.org/10.15587/1729-....
7.
Orobey V, Nemchuk O, Lymarenko O, Piterska V, Lohinova L. Taking account of the shift and inertia of rotation in problems of diagnostics of the spectra of critical forces mechanical systems. Diagnostyka 2021; 22(1): 39-44. https://doi.org/10.29354/diag/....
8.
Orobey V, Daschenko O, Kolomiets L, Lymarenko O, Ovcharov Y. Mathematical modeling of the stressed-deformed state of circular arches of specialized cranes. Eastern-European Journal of Enterprise Technologies 2017; 5(7(89): 4-10. https://doi.org/10.15587/1729-....
9.
Kolomiets L, Orobey V, Lymarenko A. Method of boundary element in problems of stability of plane bending beams of rectangular cross section structures. Metallurgical and mining industry 2016; 3: 59-65.
10.
Сhernov S, Titov S, Chernova L, Kunanets N, Piterska V, Chernova L, Shcherbyna Y, Petryshyn L. Efficient algorithms of linear optimization problems solution. CEUR workshop proceedings 2021; 2851: 116-131.
11.
Chernov S, Titov S, Chernova L, Piterska V, Chernova L, Kunanets N. Three-Index Optimization Transportation Model. 2021 IEEE 16th International Conference on Computer Sciences and Information Technologies (CSIT) 2021: 315-318, https://doi.org/10.1109/CSIT52....
12.
Holovin O, Piterska V, Shakhov A, Sherstiuk O. Project-based Management of the Production Equipment Maintenance and Repair Information System. CEUR Workshop Proceedings 2022; 3295: 76-85.
13.
Shakhov A, Kyryllova O, Sagaydak O, Piterska V, Sherstiuk O. Conceptual risk-oriented model of goal setting in the implementation of concession projects in seaports. CEUR Workshop Proceedings 2022; 3295: 149-158.
14.
Shakhov A, Piterska, V. Botsaniuk and O. Sherstiuk. Mechanisms for Goal Setting and Risk Management of Concession Projects in Seaports. 2020 IEEE 15th International Conference on Computer Sciences and Information Technologies (CSIT) 2020: 185-189, https://doi.org/10.1109/CSIT49....
15.
Minchev D, Varbanets R, Aleksandrovskaya N, Pisintsaly L. Marine Diesel Engines Operating Cycle Simulation for Diagnostics Issues. Acta Polytechnica 2021; 3(61): 428-440. http://dx.doi.org/10.14311/AP.....
16.
Yeryganov O, Varbanets R. Features of the fastest pressure growth point during compression stroke. Diagnostyka. 2018; 19(2): 71-76. https://doi.org/10.29354/diag/....
17.
Minchev DS, Gogorenko AO, Varbanets RA, Moshentsev YL, Píštěk V, Kučera P, Kyrnats VI. Prediction of centrifugal compressor instabilities for internal combustion engines operating cycle simulation. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 2022. https://doi.org/10.1177/095440....
18.
Neumann S, Varbanets R, Minchev D, Malchevsky V, Zalozh V. Vibrodiagnostics of marine diesel engines in IMES GmbH systems. Ships Offshore Struct. 2022: 1-12. https://doi.org/10.1080/174453....
19.
Varbanets R, Shumylo O, Marchenko A, Minchev D. Concept of vibroacoustic diagnostics of the fuel injection and electronic cylinder lubrication systems of marine diesel engines. Polish Marit. Res. 2022; 29(4): 88-96. https://doi.org/10.2478/pomr-2....
20.
Rudenko S, Shakhov A, Piterska V, Chernova L, Sherstiuk O. Application of balanced scorecard for managing university development projects. 2021 IEEE 16th International Conference on Computer Sciences and Information Technologies (CSIT) 2021: 311-314. https://doi.org/10.1109/CSIT52....
21.
Nemchuk OO, Krechkovska HV. Fractographic substantiation of the loss of resistance to brittle fracture of steel after operation in the marine gantry crane elements. Metallofizika i Noveishie Tekhnologii 2019; 41(6): 825–836. https://doi.org/10.15407/mfint....
22.
Kolomiets L, Orobey V, Lymarenko A. Method of boundary element in problems of stability of plane bending beams of rectangular cross section structures. Metallurgical and mining industry 2016; 3: 59- 65.
23.
Nemchuk OO. Specific features of the diagnostics of technical state of steels of the port reloading equipment. Materials Science 2018; 53(6): 875-878. http://dx.doi.org/10.1007/S110....
24.
Nemchuk OO, Nesterov OA. In-service brittle fracture resistance degradation of steel in a ship-to-shore portal crane. Strength of Materials 2020; 52(2): 275–280. https://doi.org/10.1007/s11223....
25.
Nemchuk O, Hredil M, Pustovoy V, Nesterov O. Role of in-service conditions in operational degradation of mechanical properties of portal cranes steel. Procedia Structural Integrity 2019; 16: 245-251. http://dx.doi.org/10.1016/j.pr....
26.
Burmaka I, Vorokhobin I, Melnyk O, Burmaka O, Sagin S. Method of prompt evasive maneuver selection to alter ship's course or speed. Transactions on maritime science 2022: 11(1). https://doi.org/10.7225/toms.v....
27.
Onyshchenko S, Shibaev O, Melnyk O. Assessment of potential negative impact of the system of factors on the ship’s operational condition during transportation of oversized and heavy cargoes. Transactions on maritime science 2021; 10(1): 126-134. https://doi.org/10.7225/toms.v....
28.
Bondar A, Bushuyev S, Bushuieva V, Onyshchenko S. Complementary strategic model for managing entropy of the organization. CEUR workshop proceedings 2021; 2851: 293-302.
29.
Girin A. Distribution of dispersed droplets in fragmentation of the drop in a high-velocity gas flow. J eng phys thermophy 2021; 84: 872. https://doi.org/10.1007/s10891....
30.
Ivankevich A, Piterska V, Shakhov A, Shakhov V, Yarovenko V. A Proactive Strategy of Ship Maintenance Operations. 2019 IEEE 14th International Conference on Computer Sciences and Information Technologies (CSIT) 2019; 126-129. http://dx.doi.org/10.1109/STC-....
31.
Varbanets R, Karianskyi S, Rudenko S, Gritsuk I. Et al. Improvement of diagnosing methods of the diesel engine functioning under operating conditions. SAE technical paper 2017; 01: 2218. https://doi.org/10.4271/2017-0....
32.
Nemchuk OO Influence of the working loads on the corrosion resistance of steel of a marine harbor crane. Materials Science 2019; 54(5): 743-747. https://doi.org/10.1007/S11003....
33.
Yeryganov O, Varbanets, R Features of the fastest pressure growth point during compression stroke. Diagnostyka 2018; 19(2): 71-76. https://doi.org/10.29354/diag/....
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