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A control system for the landing gear is described in terms of complex dynamic stiffness. An analysis of the shimmy boundaries
using values of complex dynamic stiffness and taking into account the maximum possible perturbations permits finding the necessary
parameters of the control system (such as dry friction) for the prevention of shimmy at low amplitudes. The universal description
of the control system in terms of complex dynamic stiffness, easy and convenient analysis, and the possibility of analytic
estimation and experimental determination of complex dynamic stiffness are indicative of practicability of this canonical
description

Content Type Journal ArticlePages 1-10DOI 10.1007/s10778-011-0455-0Authors
V. I. Goncharenko, Antonov Scientific and Technical Complex, 1 Tupoleva St., Kyiv, Ukraine 03062

Journal International Applied MechanicsOnline ISSN 1573-8582Print ISSN 1063-7095

The three-dimensional equations of electroelasticity in Cartesian, cylindrical, and spherical coordinates are represented
in Hamiltonian form with respect to the thickness coordinate. The boundary-value problem with a harmonic potential difference
and zero mechanical load given on the boundaries is solved numerically. The amplitude–frequency characteristics and natural
frequencies are compared. The resonant and antiresonant frequencies of the current and the dynamic electromechanical coupling
coefficient are determined

Content Type Journal ArticlePages 1-9DOI 10.1007/s10778-011-0451-4Authors
N. A. Shul’ga, S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine 03057L. O. Grigor’eva, S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine 03057

Journal International Applied MechanicsOnline ISSN 1573-8582Print ISSN 1063-7095

A mixed-mode (I + II) crack model with a plastic strip on its continuation under plane strain is proposed. The stress components
within the strip are determined from the yield conditions, stress limitation, and relationship between the normal stress components
defined via the principal stress state. The crack parameters are analyzed for the Mises yield condition. In the quasibrittle
case, the governing system of equations includes stress intensity factors K
_I, K
_II, and T-stresses

Content Type Journal ArticlePages 1-8DOI 10.1007/s10778-011-0453-2Authors
G. V. Galatenko, S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine 03057

Journal International Applied MechanicsOnline ISSN 1573-8582Print ISSN 1063-7095

The paper outlines an approach to identifying the principal dynamic-instability domain for systems composed of shells of revolution
with different shapes under axisymmetric periodic loading. The original problem is reduced to one-dimensional eigenvalue problems
with respect to the meridional coordinate. Results of calculations for a specific shell system are presented

Content Type Journal ArticlePages 1-9DOI 10.1007/s10778-011-0452-3Authors
E. I. Bespalova, S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine 03057G. P. Urusova, S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine 03057

Journal International Applied MechanicsOnline ISSN 1573-8582Print ISSN 1063-7095

The failure criterion for a microvolume is characterized by its stress-rupture strength. It is determined by the dependence
of the time to brittle fracture on the difference between the equivalent stress and its limit, which is the ultimate strength,
according to the Schleicher–Nadai failure criterion, and assumed to be a random function of coordinates. An equation of damage
(porosity) balance in the layers at an arbitrary time is formulated taking into account the thermal component. Algorithms
of calculating the time dependence of microdamage and macrostresses are developed. Corresponding curves are plotted. The effect
of temperature on the deformation and microdamage of the layers is studied

Content Type Journal ArticlePages 1-8DOI 10.1007/s10778-011-0450-5Authors
L. P. Khoroshun, S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine 03057E. N. Shikula, S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine 03057

Journal International Applied MechanicsOnline ISSN 1573-8582Print ISSN 1063-7095

A mechanical system represented by a particle moving over an arbitrary surface that rotates about a vertical axis with constant
angular speed is considered. Sufficient conditions for the parametric asymptotic stability of this system are established

Content Type Journal ArticlePages 1-12DOI 10.1007/s10778-011-0454-1Authors
A. S. Khoroshun, S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine 03057

Journal International Applied MechanicsOnline ISSN 1573-8582Print ISSN 1063-7095