JOURNAL OF THEORETICAL AND
APPLIED MECHANICS
No. 2, Vol 44, 2006
Zmitrowicz A. - Wear patterns
and laws of wear - a review (219-253) azmit@imp.gda.pl
Abstract. Wear is a process
of gradual removal of a material from surfaces of solids subject to contact and
sliding. Damages of contact surfaces are results of wear. They can have various
patterns (abrasion, fatigue, ploughing, corrugation, erosion and cavitation). The results of abrasive wear are identified as
irreversible changes in body contours and as evolutions of gaps between
contacting solids. The wear depth profile of a surface is a useful measure of
the removed material. The definition of the gap between contacting bodies takes
into account deformations of bodies and evolutions of wear profiles. The wear
depth can be estimated with the aid of wear laws. Derived in this study,
constitutive equations of anisotropic wear are extensions of the Archard law of wear. The equations describe abrasion of
materials with microstructures. The illustrative example demonstrates
calculations of the abraded mass and temperatures in pin-on-disc test rig.
Key words: contact
mechanics, wear, friction, constitutive equations
Żardecki D. - Piecewise
linear modeling of friction and stick-slip phenomenon
in discrete dynamical systems (255-277) zardecki@pimot.org.pl
Abstract. The paper
presents an idea and application of a new method of the modeling
of mechanical systems with friction. This method is based on the piecewise
linear luz(...)
and tar(...) projections and their original mathematical apparatus. The
presented models of systems with friction describe the stick-slip phenomenon in
detail.
Key words: piecewise linear projections,
mathematical modeling, friction, stick-slip
Tomski L., Szmidla J. - Free vibrations of a column loaded by a
stretched element (279-298) szmidla@imipkm.pcz.pl
Abstract. The problem of
free vibrations of a two-member column loaded by a sretched
element is considered in the paper. The influence of rigidity asymmetry on the
bending between the stretched element and column rods, and the influence of the
rigid mounting of the loading element and its length on the course of natural
frequency in relation to the external load are analysed. The regions, for which
the tested systems appear to be of divergence or divergence-pseudo-flutter
type, are determined for presented physical and geometrical parameters of the
column and systems for border values of the coefficient of bending asymmetry.
Numerical computations are supported by appropriate results of experimental
investigations.
Key
words: elastic column, divergence instability, pseudo flutter systems, natural
frequency
Pawlus D. - Solution to the
static stability problem of three-layered annular plates with a soft core
(299-322) doro@ath.bielsko.pl
Abstract. The solutions to
the static stability problem of a three-layered annular plate with a soft core
and a symmetric cross-section structure are presented in this paper. The basic
element of the solution is the formulation of a system of differential
equations describing plate deflections and the use of the finite difference
method in calculation of critical loads of buckling forms solving the eigen-value problem. The solution indicates the minimal
values of static critical loads as well as the buckling forms of plates
compressed on a selected edge. The obtained results have been compared with
those obtained for plate models built by means of the finite element method.
The final remarks concerning the forms of the loss of static stability of
analysed plates with the sandwich structure have been formulated. This paper is
a complement of the work by Pawlus (2005), which
concerned calculations of the dynamic stability of plates, and it is an
extension to cases of wave forms of the plate buckling problem earlier
presented only for regular, axially-symmetrical forms of deformation in, eg., Pawlus (2002).
Key
words: sandwich, annular plate; static stability; buckling form; finite
differences method; FEM
Bojczuk D., Szteleblak W. - Application of finite variations to
topology and shape optimization of 2D structures (323-349) mecdb@eden.tu.kielce.pl; szteleblak@go2.pl
Abstract. The method of
simultaneous topology and shape optimization of 2D structures by finite
topology modification is presented in the paper. Both, structures in a plane
state of stress and bending Kirchhoff's plates are
analyzed here. Conditions for the introduction of finite topology modification
based on the topological derivative are specified. When the respective
condition is satisfied, finite holes and finite variations of existing
boundaries are introduced into the structure. Next, standard shape optimization
of new holes and variable boundaries is performed. Two basic types of
modification are considered here, namely the introduction of holes of a
prescribed size and shape and the introduction of holes of an unknown size and
shape together with the introduction of finite changes of other boundaries. A
heuristic algorithm for optimal design of topology and shape is proposed in the
paper. Illustrative examples confirm applicability of the proposed approach.
Key
words: 2D structures, optimal topology and shape, topological derivative,
finite modification, structure evolution
Burczyński T., Długosz A., Ku W. - Parallel evolutionary
algorithms in shape optimization of heat radiators (351-366) Tadeusz.Burczynski@polsl.pl;
Adam.Dlugosz@polsl.pl;
Waclaw.Kus@polsl.p
Abstract. The paper deals
with the application of Parallel Evolutionary Algorithms (PEA) and the Finite
Element Method (FEM) in shape optimization of heat radiators. The fitness
function is computed with the use of the coupled thermoelsticity
modelled by MARC/MENTAT software. The geometry, mesh and boundary conditions
are created on the basis of a script language implemented in MENTAT. In order
to reduce the number of design parameters in evolutionary algorithms, the shape
of the structure is modelled by Bezier curves. Numerical examples for some
shape optimization are included.
Key
words: coupled thermoelasticity, radiation, finite
element method, parallel evolutionary algorithm, evolutionary optimization,
shape optimization
Mochnacki B., Suchy J.S. - Simplified
models of macrosegregation (367-379)
moch@imi.pcz.pl; jsuchy@agh.edu.pl
Abstract. The macrosegregation process takes place during typical solidification
of alloys. Fractions of alloy components in a liquid and
solid sub-domains are time-dependent and determined by the course of
border lines on the equilibrium diagram. From the mathematical point of view,
the process is described by a system of partial differential equations
(diffusion equations) and boundary-initial conditions. The process is coupled
with the solidification one. In this paper, simplified models of macrosegregation are discussed. The volumetric
solidification and the 'sharp' solid-liquid interface are considered. Examples
of computations are also shown. It seems that for practical applications, the
methods proposed are sufficiently exact. Additionally, they are very simple for
numerical realization.
Key
words: macrosegregation, solidification, numerical
simulation
Majchrzak E., Kałuża G. - Sensitivity analysis of biological tissue freezing
process with respect to the radius of spherical cryoprobe
(381-392) ewa.majchrzak@polsl.pl; grazyna.kaluza@polsl.pl
Abstract. Application of
the shape sensitivity analysis to the case of problems of the biological tissue
freezing process is discussed. The freezing process described by a strongly non-linear
bioheat transfer equation in which an additional term
controlling the evolution of latent heat appears. Using the approach called
'the one domain method', one finally obtains a partial
differential equation containing the substitute thermal capacity of tissue. The
boundary and initial conditions determine the thermal interaction between the
tissue and cryoprobe tip.
In
the paper, we consider a spherical internal cryoprobe.
In order to estimate the influence of cryoprobe
geometry on the course of the process, the shape sensitivity analysis is
applied. In particular, a direct approach is used (explicit differentiation
method). The results of numerical modeling (the
boundary element method is applied) allow one to formulate essential practical
conclusions concerning the course of cryosurgery treatments.
Key
words: freezing process, sensitivity analysis, boundary element method
Ciesielski M., Leszczynski J. - Numerical solutions to boundary value
problem for anomalous diffusion equation with Riesz-Feller
fractional operator (393-403)
mariusz@imi.pcz.pl;
jale@imi.pcz.pl
Abstract. In this paper, we
present a numerical solution to an ordinary differential equation of a fractional
order in one-dimensional space. The solution to this equation can describe a
steady state of the process of anomalous diffusion. The process arises from
interactions within complex and non-homogeneous background. We present a
numerical method which is based on the finite differences method. We consider a
boundary value problem (Dirichlet conditions) for an
equation with the Riesz-Feller fractional derivative.
In the final part of this paper, some simulation results are shown. We present
an example of non-linear temperature profiles in nanotubes
which can be approximated by a solution to the fractional differential
equation.
Key
words: Riesz-Feller fractional derivative, boundary
value problem, Dirichlet conditions, finite
difference method
Tuliszka-Sznitko E., Zieliński A. - Numerical investigation of transitional
flow in co- and counter-rotating annular cavity (405-420) sznitko@sol.put.poznan.pl
Abstract. A 3D direct
numerical simulation is performed to study the transitional flow in co- and
counter-rotating annular cavity of the aspect ratio~5. The identification and
characterization of mechanisms related to the laminar-turbulent process in
rotating cavities should improve the prediction methods and lead to new, more
effective boundary layer control strategies. Numerical computations are based
on the pseudo-spectral Chebyshev-Fourier method for
solving the incompressible Navier-Stokes equation.
The numerical computations allow one to describe the steady axisymmetric
basic state and 3D instability structures which appear in the transitional
flow. The DNS computations are interpreted in the light of our LSA results.
Moreover, the absolute instability regions are theoretically identified and the
critical Reynolds numbers of the convective/absolute transition in both layers
are given.
Key
words: laminar-turbulent transition, rotating cavity, direct method
Biuletyn Informacyjny PTMTS
(421-447)
No. 1, Vol
44, 2006
Baron E. - On modelling of periodic plates with inhomogeneity period of an order of the plate thickness
(3-18) eugeniusz.baron@polsl.pl
Gałkiewicz J., Graba M. - Algorithm for determination of 
, 
, 
, 
, 
functions in
Hutchinson Rice Rosengren solution and its 3D
generalization (19-30) jgalka@eden.tu.kielce.pl; mgraba@eden.tu.kielce.pl
Goszczyński J.A. - Practical
aspects of identification of the aerodynamic characteristics (31-50) jaglot@poczta.onet.pl
Juraszek J. - The clamped joints - survey and
analysis of shapes and materials (51-73) juraszek@ath.bielsko.pl
Kubiak T. - Interactive
buckling in thin-walled beam-columns with widthwise varying orthotropy (75-90) tomek@p.lodz.pl
Majkut L. - Identification of beam boundary conditions in ill-posed problem
(91-105) majkut@agh.edu.pl
Piechnik S. - Algebra of systems of forces applied to
the flat material line (107-125)
Rozumek D., Macha E., Lazzarin P., Meneghetti G. - Influence of notch (TIP) radius on
fatigue crack growth rate (127-137) drozumek@po.opole.pl; emac@po.opole.pl; plazzarin@gest.unipd.it; meneghetti@unipd.it
Wojnarowski J., Kopeć J., Zawilak S. - Gears and graphs (139-162)
Żardecki D. - Piecewise
linear luz(...)
and tar(...) projections. Part~1 - Theoretical background (163-184) zardecki@pimot.org.pl
Żardecki D. - Piecewise
linear luz(...)
and tar(...) projections. Part~2 - Application in modelling of dynamic systems
with freeplay and friction (185-202) zardecki@pimot.org.pl
Biuletyn Informacyjny PTMTS (203-213)
No. 4, Vol 43, 2005
Rozumek D. - Fatigue crack
growth rate in aluminium alloy including Mixed Mode I
and III (731-743) drozumek@po.opole.pl
Dyka E., Rogowski B. - On the contact problem for a smooth punch in piezoelectroelasticity (745-761) edyka@p.lodz.pl, brogowsk@p.lodz.pl
Domoradzki M., Jaroszewicz J., Zoryj L. - Analysis of the
influence of elasticity constants and material density on the base frequency of
axi-symmetrical vibrations with variable thickness
plates (763-775) jerzyj@pb.bialystok.pl
Major M. - Velocity of acceleration wave propagating in hyperelastic Zahorski and Mooney-Rivlin materials (777-787) admin@major.strefa.pl
Matysiak S.J. - On homogenized
model of periodic stratified micropolar elastic
composites (789-804) s.j.matysiak@uw.edu.pl
Wojnar R. - Structural
control in tissue development (805-812) rwojnar@ippt.gov.pl
Blajer W., Czaplicki A. - An alternative scheme for determination of
joint reaction forces in human multibody models
(813-824) wblajer@poczta.onet.pl, czaplicki@poczta.onet.pl
Rudnicki M. - On the material
and spatial description of rigid fields (825-840) marr@siwy.il.pw.edu.pl
Garus J. - A method of
determination of feasible propeller forces and moments for an underwater robot
(841-853) j.garus@amw.gdynia.pl
Żyluk A. - Experimental
validation of mathematical model describing external stores separation
(855-873) andrzej.zyluk@itwl.pl
Skup Z. - Damping of
vibrations in a power transmission system containing a friction clutch
(875-892) zskup@ipbm.simr.pw.edu.pl
Juraszek J. - Strength
analysis of a multi-clip joint (893-907) jjuraszek@ath.bielsko.pl
Biuletyn
Informacyjny PTMTS (909-922)
No. 3, Vol
43, 2005
Gabbert U., Nestorović-Trajkov T., Köppe H. - Controller
design and implementation for active vibration suppression of a piezoelectric
smart shell structure (487-500)
ulrich.gabbert@mb.uni-magdeburg.de; tamara.nestorovic@mb.uni-magdeburg.de;
heinz.koeppe@mb.uni-magdeburg.de
Giergiel M., Giergiel J. - Advanced modelling
of vibratory machines (501-509) giergiel@agh.edu.pl
Giergiel J., żylski W. - Description of motion of a mobile robot by
Maggie's equations (511-521) jgiergiel@chello.pl; wzylski@prz.edu.pl
Hołobut P. - Time-optimal
control of hydraulic manipulators with path constraints (523-538) pholob@ippt.gov.pl
Klamka J. - Approximate
constrained controllability of mechanical system (539-554)
Lekszycki T. - Functional
adaptation of bone as an optimal control problem (555-574)
Lückel J., Münch E., Vöcking H., Hestermeyer T. - Online optimization of a preview controller -
- structure and algorithms (575-591) Joachim.Lueckel@mlap.de;
muench@mlap.de; Henner.Voecking@mlap.de; Thorsten.Hestermeyer@mlap.de
Müller P.C. - Modelling and control of mechatronic
systems by the descriptor approach (593-607) mueller@srm.uni-wuppertal.de
Przybyłowicz P.M. - Stability of
actively controlled rotating shaft made of functionally graded material
(609-630) piotrp@ipbm.simr.pw.edu.pl
Sapiński B. - Real-time
control for a magnetorheological shock absorber in a
driver seat (631-653) deep@agh.edu.pl
Sapiński B., Martynowicz P. - Vibration control in a pitch-plane suspension
model with MR shock absorbers (655-674) deep@agh.edu.pl; pmartyn@agh.edu.pl
Socha L. - Application of poli-criterial linearization for control problem of stochastic
dynamic systems (675-693) leslawsocha@poczta.onet.pl
Tylikowski A. - Stabilization of
plate parametric vibration via distributed control (695-706) aty@simr.pw.edu.pl