BULGARIAN ACADEMY OF SCIENCES NATIONAL COMMITTEE OF THEORETICAL AND APPLIED MECHANICS Journal of Theoretical and Applied Mechanics
Print ISSN: 0861-6663 Online ISSN: 1314-8710
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JTAM, Sofia, vol. 53 Issue 1 (2023) |
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ANALYSIS OF REFLECTION AND TRANSMISSION OF AXIALLY-SYMMETRIC WAVES FOR SELF-REINFORCED HALF SPACE OVER A POROELASTIC HALF SPACE Rajitha Gurijala1, Sindhuja Ala2, Malla Reddy Perati2 1Sumathi Reddy Institute of Technology for Women, Hasanparthy, Warangal, Telangana, India 2Department of Mathematics, Kakatiya University, Warangal, Telangana, India
The objective of this paper is to study the reflection
and transmission phenomena in axially symmetric waves in two half spaces, in
which the lower one is poroelastic half space, and the upper one is
self-reinforced half space. Employing Biot's theory of wave propagation,
reflection and transmission coefficients of two dilatational waves, and
shear wave are computed against angle of incidence. Numerical results are
presented graphically for two types of poroelastic solids, namely, for upper
half space, self-reinforced material with the longitudinal, shear modulus
and reinforcement parameters respectively and for lower half space the
sandstone saturated with water is used. From the numerical results, it is
clear that the reflection and transmission coefficients are strongly
affected as a function of angle of incidence.
JTAM, Sofia, vol. 53 Issue 1 pp. 003-018 (2023), [Full Article]
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MINIMIZATION OF THE DRIVE TORQUE OF THE TROLLEY MOVEMENT MECHANISM DURING TOWER CRANE STEADY SLEWING Viatcheslav Loveikin1, Yuriy Romasevych1, Andrii Loveikin2, Lyubov Shymko3, Anastasia Liashko1 1Department of Machines and Equipment Design, National University of Life and Environmental Sciences of Ukraine, Kyiv, 03041, Ukraine 2Mechanics and Mathematics Faculty, Taras Shevchenko National University of Kyiv, Kyiv, 01033, Ukraine 3Mechanical and Technological Department, National University of Life and Environmental Sciences of Ukraine, Kyiv, 03041, Ukraine
In the article, the optimization of the trolley movement
along the boom during steady slewing of the tower crane which provides
minimization of the driving force is considered. The optimization was
performed using a mathematical model of the mechanism of the trolley
movement, which is presented by the system of differential equations. This
system is reduced to the one differential equation of the sixth order, which
describes the moving torque of the mechanism of the trolley movement.
JTAM, Sofia, vol. 53 Issue 1 pp. 019-033 (2023), [Full Article]
The variational problem of minimization of the root mean square value of the moving torque of the trolley movement mechanism is stated and solved. In the process of optimization, low- (pendulum) and high-frequency (caused by the change in moving torque of the mechanism) oscillations of the elements of the mechanism during its start are revealed. These oscillations are eliminated at the beginning of the steady movement due to the optimal start mode. In the process of solving the variational problem, the minimum condition of the integral functional (root mean square value of the moving torque of the trolley movement mechanism), represented by a linear differential equation of the twelfth order, is solved by analytical methods. The obtained result — trolley optimal movement law — was analyzed based on kinematic, dynamic, and energy features. The smoothness of the movement, elimination of the low- and high-frequency oscillations, and minimizations of root mean square value of drive torque during start are the main advantages of the calculated optimal control. |
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STUDY OF CURVATURE EFFECT ON STONELEY WAVE PROPAGATION IN DISSIPATIVE POROELASTIC CYLINDRICAL SOLIDS Balu Chandavath1, Ramesh Modem2, Malla Reddy Perati1 1Department of Mathematics, Kakatiya University, Warangal, India 2Department of Mathematics, UCT, Osmania University, Hyderabad, India
Interface between two dissimilar solids is very common in natural
structures and manmade structures. Wave propagation along the interface of
poroelastic cylindrical solid with a different poroelastic medium is studied
in the framework of Biot's isotropic poroelasticity. Both cylindrical solid,
and surrounded medium are assumed to be dissipative. Two types of interfaces
namely welded contact and smooth contact are considered. Axisymmetric waves
are considered to make the problem two dimensional. Frequency equation of
expected Stoneley waves is obtained for pervious interface. When the angular wavenumber
is zero, the frequency equation is degenerated into two parts that are
pertaining to dilatational and equivoluminal cases.
JTAM, Sofia, vol. 53 Issue 1 pp. 034-048 (2023), [Full Article]
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MODELING OF CUTTING FORCE AND POWER CONSUMPTION USING ANN AND RSM METHODS IN TURNING OF AISI D3: COMPARATIVE STUDY AND PRECISION BENEFIT Khaoula Safi1, Mohamed Athmane Yallese1, Salim Belhadi1, Tarek Mabrouki2, Salim Chihaoui1 1Université 8 Mai 1945, Guelma, Laboratoire (LMS), Algérie 2Université de Tunis El Manar, ENIT, Laboratoire (MAI), Tunisie
The present work deals with the optimization of cutting
parameters when turning D3 steel using a CVD multi-layer coated carbide
tool (Al2O3+TiC+TiCN). For that, response surface methodology
(RSM) and artificial neural network (ANN) were adopted for the modeling of
cutting force (Fz) and cutting power evolutions (Pc). The applied precited
approaches were also compared and their results were discussed. Moreover, a
design of experimental (DoF) based on Taguchi L16 (4^3 2^1) method was adopted. This has helped to illustrate the
relationship between cutting parameters (tool radius, cutting speed, feed
rate and cutting depth) and selected responses which are cutting force and
cutting power. The results revealed that the ANN and RSM exhibited very good
accuracy with experimental data. However, the ANN prediction model provides
the maximum benefit in terms of precision compared to the RSM model. For
(Fz and Pc) the benefit is (7.5 and 16.3)%, respectively.
JTAM, Sofia, vol. 53 Issue 1 pp. 049-065 (2023), [Full Article]
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IMPACT OF VARIABLE PASSAGE SECTION AND ZIGZAG ABSORBER ON THE THERMAL PERFORMANCE OF A THERMO-SOLAR CONVERTER FOR DRYING Fethi Moussa Boudjema1, Hamidou Benzenine1,2 1Smart Structures Laboratory, Faculty of Science and Technology, University Belhadj Bouchaib BP 284, Ain Témouchent, 46000, Algeria 2Laboratory of Energetic and Applied Thermal (ETAP), Faculty of Technology, B.P 230, University of Tlemcen, 13000, Algeria
This paper presents a numerical study of a
two-dimensional laminar airflow transferred in a thermo-solar collector with
forced convection. Simulations were processed to determine and analyze the
dynamic and thermal fields under the influence of variation of collector
configuration. Two cases of collector geometry (model of narrowing at exit
and model of widening at entry) were studied and compared to the simple case
uniform solar collector based on variations in temperature and velocity at
the collector outlet for an input velocity varying between 0.04 and 0.11
m/s. The results show that the collector equipped with a zigzag-shaped
absorber with a narrowing of the section at the outlet or widening at the
inlet contribute to the thermal and dynamic improvement of the flow in the
air stream compared with a simple case. The best performing case is recorded
for the narrowest case of the exit shrinkage model where the exit velocity
has been increased by 250%. this velocity reduces the drying time and
increases the efficiency of the evacuation of the humid air leaving the
chamber.
JTAM, Sofia, vol. 53 Issue 1 pp. 066-081 (2023), [Full Article]
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IMPROVING THE ACCURACY OF SURFACE WEAR MEASUREMENTS OF MACHINES PARTS Tareq M.A. Al-Quraan1, V. Kvasnikov2, M. Kataieva2 1Al-Balqa Applied University, Ma'an College, Technical Sciences Department, 19117 Al-Balqa, Jordan 2National Aviation University, 03058 Kyiv, Ukraine
The article considers the method of increasing the
accuracy and speed of measurement of wear and deformation of parts by modern
information-measuring complexes. The method helps to solve the problem of
simultaneous provision of two contradictory requirements — high accuracy and
sufficient speed of measurements. The authors propose a variant of the
switched structure of the controller of the tracking system and perform
mathematical modeling of its operation. The advantage of the proposed
structure of the controller is to ensure high-quality operation in several
modes: software movement of the measuring element at high speeds with
minimal deviation from the specified trajectory, rigid positioning with step
control without over-regulation, high sensitivity at small movements in the
measurement area.The results of the study can be used in the development of
precision automated drives for automated measuring systems of high accuracy
and performance.
JTAM, Sofia, vol. 53 Issue 1 pp. 082-096 (2023), [Full Article]
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