EMILIA ABADJIEVA

1 Graduate School of Engineering and Resource Science, Faculty of

Engineering and Resource Science, Akita University, Tegatagakuen-machi

1-1, Akita, Japan

2 Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev

Str., bl. 4, 1113 Sofia, Bulgaria

REGULAR
MECHANICAL TRANSFORMATION OF

ROTATIONS INTO TRANSLATIONS: PART 1.

KINEMATIC ANALYSIS AND DEFINITION OF

THE BASIC CHARACTERISTICS

ROTATIONS INTO TRANSLATIONS: PART 1.

KINEMATIC ANALYSIS AND DEFINITION OF

THE BASIC CHARACTERISTICS

ABSTRACT: The science that study the
processes of motions transformation upon a preliminary defined law
between non-coplanar axes (in general case) axes of rotations or axis
of rotation and direction of rectilinear translation by three-link
mechanisms, equipped with high kinematic joints, can be treated as an
independent branch of Applied Mechanics. It deals with mechanical
behaviour of these multibody systems in relation to the kinematic and
geometric characteristics of the elements of the high kinematic joints,
which form them. The object of study here is the process of regular
transformation of rotation into translation. The developed mathematical
model is subjected to the defined task for studying the sliding
velocity vector function at the contact point from the surfaces
elements of arbitrary high kinematic joints. The main kinematic
characteristics of the studied type motions transformation (kinematic
cylinders on level, kinematic relative helices (helical conoids) and
kinematic pitch configurations) are defined on the bases of the
realized analysis. These features expand the theoretical knowledge,
which is the objective of the gearing theory. They also complement the
system of kinematic and geometric primitives, that form the
mathematical model for synthesis of spatial rack mechanisms.

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K.T.
SHEROV^{1}, M.R. SIKHIMBAYEV^{2}, A.K. SHEROV^{1},

B.S. DONENBAYEV^{1},
A.K. RAKISHEV1, A.B. MAZDUBAI1,

M.M. MUSAYEV^{1}, A.M.
ABEUOVA^{1}

1 Karaganda State Technical University, 56 B. Mira St., 100027 Karaganda, Kazakhstan

2 Karaganda Economic University, 9 Akademicheskaya St., 100009 Karaganda, Kazakhstan

B.S. DONENBAYEV

M.M. MUSAYEV

1 Karaganda State Technical University, 56 B. Mira St., 100027 Karaganda, Kazakhstan

2 Karaganda Economic University, 9 Akademicheskaya St., 100009 Karaganda, Kazakhstan

MATHEMATICAL MODELING OF
THERMOFRICTIONAL

MILLING PROCESS USING ANSYS WB SOFTWARE

MILLING PROCESS USING ANSYS WB SOFTWARE

ABSTRACT: This article presents
ANSYS WB-based mathematical modelling of the thermofrictional milling
process, which allowed studying the dynamics of thermal and physical
processes occurring during the processing. The technique used also
allows determination of the optimal cutting conditions of
thermofrictional milling for processing various materials, in
particular steel 40CN2MA, 30CGSA, 45, 3sp. In our study, from among a
number of existing models of cutting fracture, we chose the criterion
first proposed by prof. V. L. Kolmogorov. In order to increase the
calculations performance, a mathematical model was proposed, that used
only two objects: a parallelepiped-shaped workpiece and a cutting
insert in the form of a pentagonal prism. In addition, the work takes
into account the friction coefficient between a cutting insert and a
workpiece taken equal to 0.4 mm. To determine the temperature in the
subcontact layer of the workpiece, we introduced the coordinates of
nine characteristic points with the same interval in the local
coordinate system. As a result, the temperature values were obtained
for different materials at the studied points during the cutter speed
change. The research results showed the possibility of controlling
thermal processes during processing by choosing the optimum cutting
modes.

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FRANK WUTTKE

1 Institute of Applied Geoscience, Kiel University, Germany

2 Institute of Mechanics, Bulgarian Academy of Sciences, Sofia, Bulgaria

3 Institute of Civil Engineering, Technical University of Berlin, Germany

INFLUENCE OF POROELASTICITY ON THE 3D
SEISMIC

RESPONSE OF COMPLEX GEOLOGICAL MEDIA

RESPONSE OF COMPLEX GEOLOGICAL MEDIA

ABSTRACT: Elastic wave propagation
in 3D poroelastic geological media with localized heterogeneities, such
as an elastic inclusion and a canyon is investigated to visualize the
modification of local site responses under consideration of water
saturated geomaterial. The extended computational environment herein
developed is a direct Boundary Integral Equation Method (BIEM), based
on the frequency-dependent fundamental solution of the governing
equation in poro-visco elastodynamics. Bardet’s model is introduced in
the analysis as the computationally efficient viscoelastic isomorphism
to Biot’s equations of dynamic poroelasticity, thus replacing the
two-phase material by a complex valued single-phase one. The potential
of Bardet’s analogue is illustrated for low frequency vibrations and
all simulation results demonstrate the dependency of wave field
developed along the free surface on the properties of the soil material.

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N. SANDEEP

1Department of Mathematics, VIT University, Vellore-632014, India

2Department of Mathematical Sciences, Federal University of Technology, Akure, Ondo State, Nigeria

THEORETICAL
EXPLORATION OF EXPONENTIAL HEAT

SOURCE AND THERMAL STRATIFICATION EFFECTS ON

THE MOTION OF 3-DIMENSIONAL FLOW OF

CASSON FLUID OVER A LOW HEAT ENERGY SURFACE AT

INITIAL UNSTEADY STAGE

SOURCE AND THERMAL STRATIFICATION EFFECTS ON

THE MOTION OF 3-DIMENSIONAL FLOW OF

CASSON FLUID OVER A LOW HEAT ENERGY SURFACE AT

INITIAL UNSTEADY STAGE

ABSTRACT: Within the last few
decades, experts and scientists dealing with the flow of non-Newtonian
fluids (most especially Casson fluid) have confirmed the existence of
such flow on a stretchable surface with low heat energy (i.e. absolute
zero of temperature). This article presents the motion of a
three-dimensional of such fluid. Influence of uniform space dependent
internal heat source on the intermolecular forces holding the molecules
of Casson fluid is investigated. It is assumed that the stagnation flow
was induced by an external force (pressure gradient) together with
impulsive. Based on these assumptions, variable thermophysical
properties are most suitable; hence modified kinematic viscosity model
is presented. The system of governing equations of 3-dimensional
unsteady Casson fluid was non-dimensionalized using suitable similarity
transformation which unravels the behavior of the flow at full fledge
short period. The numerical solution of the corresponding boundary
value problem (ODE) was obtained using Runge-Kutta fourth order along
with shooting technique. The intermolecular forces holding the
molecules of Casson fluid flow in both horizontal directions when
magnitude of velocity ratio parameters are greater than unity breaks
continuously with an increase in Casson parameter and this leads to an
increase in velocity profiles in both directions.

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JORDANKA IVANOVA, VARBINKA VALEVA

Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev

Str., bl. 4, 1113 Sofia, Bulgaria

INFLUENCE
OF INTERFACE GAP ON

THE STRESS BEHAVIOUR OF SMART SINGLE LAP JOINTS

UNDER TIME HARMONIC LOAD

THE STRESS BEHAVIOUR OF SMART SINGLE LAP JOINTS

UNDER TIME HARMONIC LOAD

ABSTRACT: Adhesive joints are
frequently used in different composite structures due to their improved
mechanical performance and better understanding of the failure
mechanics. The application of such structures can be seen in aerospace
and high technology components. The authors developed and applied
modified shear lag analysis to investigate the
hygrothermalpiezoelectric response of a smart single lap joint at
environmental conditions (with/without an interface gap along the
overlap zone) and under dynamic time harmonic mechanical and electric
loads. The main key is the study of the appearance of possible
delamination along the interface. As illustrative examples, the
analytical closed form solution of the structure shear and the axial
stresses response, as well as the interface debond length, including
influence of mechanical, piezoelectric, thermal characteristics and
frequencies is performed and discussed. All results are presented in
figures. The comparison of the shear stress and electric fields for
both cases of overlap zone (continuous or with a gap) is also shown in
figures and discussed.

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