Machine Science 2022 - Number II

FINITE DIFFERENCE METHOD FOR STATIC AND DYNAMIC ANALYSIS: EULER-BERNOULLI BEAM ON WINKLER FOUNDATION AND VIBRATING MOTION OF SINGLE DEGREE OF FREEDOM SYSTEM

Author: Gülçin TEKİN, Fethi KADIOĞLU

Email: gulcint@yildiz.edu.tr, fkadioglu@itu.edu.tr

Abstract: The Finite Difference Method (FDM) is one of the most powerful numerical solution techniques and has the ability to handle most types of analysis in structural mechanics. In this study, examples of physical modeling of vibrational motion of a single-degree-of-freedom-system (SDOF) under the effect of a harmonic external load are examined by considering the effects of different system parameters. In its simplest form, the problem is represented by a second order differential equation with constant coefficient. The relevant equation is solved analytically and at the same time, the compatibility of the results is tested using the finite-difference method. In addition, the analysis of the beam resting on the elastic foundation is considered. The analytical solution of the fourth order differential equation is obtained and the finite-difference method is used in order to obtain its numerical solution. Different numerical example problems are considered for the above mentioned two problems and the results are tested with the existing literature.

KeywordsFinite-difference method, Beam-foundation interaction, Vibration, Numerical solution, Analytical Solution


RESEARCH OF RECIPROCATING SPEED OF THE RODS SUSPENSION POINT IN THE LOW-SPEED OPERATION MODE OF THE MECHANICAL TRANSMISSION OF THE NEW CONSTRUCTIVE SOLUTION OF THE SUCKER-ROD PUMP

Author: Beyali AHMEDOV, Isa KHALILOV, Anar HAJIYEV

Email:  ahmedov.beyali@mail.ru, khalilov@aztu.edu.az, anar_hajiyev_1991@mail.ru

Abstract: The article investigates the problem of determining the number of swings of the rods suspension point of the new constructive solution of the sucker-rod pumping unit in the low-speed operation mode. It was determined that this small value of the speed causes a decrease in the maximum kinetic energy caused by the mechanical transmission of the rod well pump, and therefore, considering this energy parameter of the system as an analyzed parameter is of great practical importance. Therefore, in the article, as a criterion for the low-speed operation mode, a comparison of the maximum kinetic energy of the pumping unit and the useful energy spent on lifting of the liquid from the well was proposed. It was determined that with the increase in the diameter of the plunger, the useful energy used on lifting the liquid from the well increases, and accordingly, the share of kinetic energies in the total used energy balance increases accordingly.

Keywordspumping unit, plunger, kinetic energy, reciprocating speed, operation mode

 


ON THE MATRIX GENERALIZATION OF THE THEORY OF MACHINING ACCURACY

Author: Nizami YUSUBOV, Heyran ABBASOVA, Ramil DADASHOV, Ibrahim SALMANOV

Email:  nizami.yusubov@aztu.edu.az, abbasova.heyran@aztu.edu.az, dadashov@aztu.edu.az, ibraqim.salmanov@gmail.com

Abstract: The article provides a matrix generalization of distortion models and scattering fields of dimensions performed during turning with a spatial arrangement of the tool, taking into account the simultaneous action of all components of the cutting forces of the setting tool and elastic deformations of the technological system in all coordinate directions. A full-factor model of dimension distortion for single-carriage adjustment has been developed, which allows taking into account not only plane-parallel movements of technological subsystems, but also their angular movements around base points.  Thus, the Eq. developed for the total displacement vectors is proposed to be taken as the basis for a full-factor model of the machining error. The presented analytical models describe only plane-parallel displacements of contacting bodies. It is shown that in order to take into account the whole complex of displacements in them, i.e. and angular displacements, it is sufficient to replace the plane-parallel displacement vectors of each contacting body.

Keywordsmatrix generalization of the theory of accuracy, turning, distortion models, models of scattering fields, performed dimensions, coordinate displacements of the technological system, compliance matrix of technological system, machining error

 


FEATURES OF PROCESSING AND ASSEMBLY OF COMPOSITE PRODUCTS

Author: Igor DERYABIN, Viktor GUZEEV, Alexander KOZLOV, Dmitrii ARDASHEV

Email:  deriabin-ip@susu.ru, guzeevvi@susu.ru, kozlovav@susu.ru, ardashevdv@susu.ru

Abstract: The paper examines the assembling of cylindrical products consisting of sector parts with dihedral angles. A crucial issue in the assembly of such parts is the accuracy of dihedral angles during processing. Based on methods of analytical geometry, we proved that in order to achieve gapless assembly of three sectors, the sum of all dihedral angles of the sectors should be less than or equal to 360°. Since it is impossible to ensure the exact equality of the sum of all dihedral angles of 360°, characteristic “flatness deviation” is always formed during assembly. In order t obtain a gapless connection, we propose a new method for the selective assembly of sectors and developed a scheme of the dihedral angle controller. This selective assembly method will allow sectors to be selected in such a way that their “twist” angle in the assembled conditions is minimal.

Keywordsassembly technology, sector parts, dihedral angle control, conditions for gapless connection of three sectors

 


COMPARATIVE SERVICE LIFE ANALYSIS FOR WORM GEARS ACCORDING TO DIFFERENT FAILURE CRITERIA

Author: Iftikhar CHALABI

Email:  i_chalabi@aztu.edu.az

Abstract: In this paper, a comparative analysis of the service life of worm gear wheels for various failure criteria is carried out. Based on this analysis, a method is proposed for selecting the worm gear wheel material, the values of the modulus, on which the bending strength of the teeth depends. Research has shown that increasing the bending strength of teeth is of great practical importance, both for one-sided and two-sided loads. This also makes it possible to significantly increase the lifetime of one-side loaded gear wheels by replacing their working flanks with non-working ones. it was proposed to replace the working surfaces of the teeth of worm wheels after a certain service life.

KeywordsWorm gear, service life, failure, pitting, tooth breakage, wear

 


A CONSTANT VOLUMETRIC-FAILURE-STRAIN EROSION FOR DETERMINING THE EFFECT OF INERTIA AND STRAIN RATE ON THE CRUSHING STRENGTH OF A CELLULAR CONCRETE

Author: Burak AKYOL, Mustafa GÜDEN

Email: bakyol@iyte.edu.tr, mustafaguden@iyte.edu.tr

Abstract: The effect of inertia and strain rate on the failure of a cellular autoclaved aerated concrete (600 kg m-3) was investigated using MAT_096 material model together with a constant volumetric-failure-strain erosion criterion in the LSDYNA. A rate insensitive, constant compressive yield stress, and a rate sensitive, variable compressive yield stress, model were implemented and the results of models were compared with those of experimental compression tests conducted at similar strain rates, between 2x10-3 s-1 and ~4150 s-1.  Results have shown an “s-type” compressive strength relation with strain rate, broadly composing of three distinct regions: a lower-velocity-dependent-strength region at the quasi-static velocities, a higher-velocity-dependent-strength region at intermediate velocities and again a lower-velocity-dependent-strength region above ~1150 s-1. In experimentally tested samples, a shock fracture strength was presumed to be reached in the higher velocity-dependent strength region, resulting in a cut-off DIF value (2.78), while in numerically tested samples, the compressive strength increased with increasing strain rate in the third region. One dimensional state of strain condition above a critical velocity was also shown numerically. The stress triaxiality increased to 0.66 between 1 and 30 m s-1, reaching a fully constraint 1D state of strain condition above 30 m s-1. In accord with this, the numerical failure mode, as with that of experiments, switched from an axial- to a radial-dominated cracking after ~20 m s-1. Finally, the strain rate dependent compressive strength was numerically shown as partly arising due to the change of deformation state from a 1D state of stress to a 1D state of strain and partly due to the intrinsic rate sensitivity of cellular concrete.

KeywordsAutoclaved aerated concrete, modelling, compressive strength, inertia, strain rate

 


INDIRECT INK TRANSFER FOR OFFSET PRINTING, TAKING INTO ACCOUNT THE ROUGHNESS OF THE OFFSET PRINTING PLATE SURFACE

Author: Eldar ALIYEV, Isa KHALILOV, Shabnam ISMAILOVA

Email: elab57@mail.ru, khalilov@aztu.edu.az, shebinem.ismayilova@aztu.edu.az

Abstract: This article is devoted to the study of the influence of the surface roughness of an offset printing plate on the form-decal contact and deckle-printed material. Taking into account the deepening of micro protrusions of the surface roughness of the printing plate into the body of the deckle, which lead to additional displacements and deformation of the deckle, the amount of ink on the surface of the form is determined. The separation and transition of the paint layer in the contact zone has been studied. It has been established that the ink layer located in the free space of the roughness of the surface of the printing plate is also involved in the transfer of ink. The proposed method of indirect ink transfer in offset printing allows you to determine more accurate values of consumables in the design of printing processes, also predict the quality of printed prints, determine the runtime of printing plates, and correctly configure the printing machine before the printing process.

Keywordsoffset printing, contact area, roughness, deckle, ink transfer


CONSTRUCTION AND REGULATION OF STATIC CHARACTERISTICS FOR CONTROL OBJECTS

Author: Victor ARTEMYEV, Evgeny NAZOIKIN, Vitaly PANK

Email: artemyevvs@mgupp.ru; NazojjkinEA@mgupp.ru; 9220775959@mail.ru

Abstract: This article discusses the issues of digitalization in stream generation systems, as well as their shortcomings in existing Industrial Ethernet solutions, which were addressed using a new innovative approach. In addition, such solutions are often limited in their flexibility. However, these aspects are becoming increasingly important in the future. Existing control systems are characterized, as a rule, by branched hierarchical structures, and the quality of their functioning is assessed according to vector criteria. Such systems include the national economy as a whole, its branches, industrial enterprises, information systems, targeted programs in various subject and applied areas. It should also be noted that from the point of view of the system approach, any systematization is a fragment of a more general hierarchy of such systems. Automation of control processes and their analysis of modern complex control systems more and more often uses hierarchical models, which makes the problem of their development and research more relevant today. The method proposed by the authors for solving such problems does not seem unnecessarily cumbersome, since it is necessary not only to automate processes at each level, but also to carry out interlevel control. The conclusion is that none of the existing solutions is suitable for meeting the challenges of the future regarding scalability, flexibility or reliability.

KeywordsResource security, modified protocol, digitalization