Volume 2 (2018)
THERMOMECHANICAL BEHAVIOR OF A THICK THREE–LAYER
CYLINDRICAL PANEL WITH RIGIDLY CLAMPED ENDS.
ZAVGORODNIY Andriy
-
1Mykolayiv Inter-regional Institute of Human Development «University «Ukraine»,
Mykolayiv, Ukraine
- Phys. chem. geot. 2018
- Full text (PDF)
Purpose
To investigate the thermomechanical behavior of a thick three-layer
cylindrical panel with rigidly clamped ends.
Methodology
The three-dimensional connected problem of resonance
vibrations and dissipative heating of a thick three-layer nonelastic cylindrical panel
is investigated for the temperature independent of the temperature of the
mechanical and thermophysical properties of the material by the finite element
method, under the action of harmonic over time uniform pressure.
Findings
By a finite element method a three-dimensional problem on the
forced resonance vibrations and dissipative heating of a thick three–layer
cylindrical panel with rigidly clamped ends is solved. The nonelastic material
behavior is described by a conception of the complex characteristics. It is supposed
that the mechanical and thermophysical material properties do not depend on a
temperature. An influence of a structural inhomogeneity on the amplitude– and
temperature–frequency characteristics, on the natural frequency, maximum
deflection, maximum temperature and damping coefficient of the panel are
investigated.
The results of the calculations showed that the structural heterogeneity
significantly influences the indicated dynamic characteristics.
Keywords: resonant vibrations, cylindrical panel, damping coefficient
References
- Hamid R. Hamidzaden, Reza N.Jazar. Vibrations of Thick Cylindrical
Structurals. – New York–Dordrecht – Heidelberg – London: Springer, 2010.– 201p.
- Zavgorodniy A. Forced resonance oscillations and dissipative heating of
thick-walled viscoelastic cylindrical panel // Bulletin of the University of Kiev.
Series: Physics and Mathematics. - 2009. - No4. - P. 102- 105.
- Karnaukhov V., Mikhailenko V. Nonlinear thermomechanics of
piezoelectric inelastic bodies under monogarmonic loading. - Zhytomyr: ZhGTU,
2005. – 428p.
- Kovalenko A. The basics of thermoelasticity. -Kiev: Science. thought,
1970. – 320p.
- Savchenko V., Shevchenko Yu. Non-axially-symmetric thermo-stress state
of layered bodies of rotation from orthotropic materials under nonisothermal
loading // Mechanics of composite materials. - 2004. - 40, No6. - P.731-752.
- Kozlov V. Yakimenko S. Thermomechanical behavior of viscoelastic
bodies of rotation with axially symmetric harmonic deformation // Prikl. mechanics
- 1989. - 25, No. 5.-P.22-28.
- Hensen J., Heppler G. Mindlin A. Shell element that satisfies the rigid body
requirements // AIAA J. - 1985. - 22, No. 2. –P. 288-295
- Kozlov V. Fluctuations and dissipative heating of a multilayer shell of rotation
from a visco-elastic material // Prikl. mechanics - 1996, No 32, No6. - C.82-89.
- Zenkevich O. Finite Element Method in Engineering. - M.: World, 1975. - 541 p.