Flexural vibrations and vibrational heating of a ring plate with thin piezoceramic pads under single-frequency electromechanical loading

The paper deals with the coupled problem of flexural vibrations and dissipative heating of a viscoelastic ring plate with piezoceramic actuators under monoharmonic electromechanical loading. The temperature dependence of the complex characteristics of passive and piezoactive materials is taken into account. The coupled nonlinear problem of thermoviscoelasticity is solved by an iterative method. At each iteration, orthogonal discretization is used to integrate the equations of elasticity and an explicit finite-difference scheme is used to solve the heat-conduction equation with a nonlinear heat source. The effect of the dissipative heating temperature, boundary conditions, and the thickness and area of the actuator on the active damping of the forced vibrations of the plate under uniform transverse harmonic pressure is examined __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 2, pp. 99–108, February 2008.     

Quasi-static thermoviscoelasticity of partially depolarized piezoceramic cylinder under a harmonic load

The oscillation and dissipative heating of an infinitely long piezoceramic cylinder polarized along the radius is considered in the case of partial heat depolarization, with harmonic quasi-static loading of the cylinder by a potential difference. The inner surface of the cylinder is thermally insulated; there is heat transfer at the outer surface. An analytical solution is obtained, and numerical calculations are performed for a TsTStBS-2 piezoceramic. The conditions in which the depolarized zone appears are examined, along with the stress-strain state of the cylinder. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 3, pp. 42–48, March, 1999.     

Forced vibrations of a thin closed spherical and an infinitely long cylindrical piezoelectric shells with allowance for thermal depolarization

The paper deals with a conjugate problem of harmonic electromechanical vibrations and dissipative heating of a thin closed spherical and an infinitely long cylindrical piezoelectric shells with allowance for the temperature dependence of the viscoelastic properties and the phenomenon of thermal depolarization. The presence of an acoustic medium inside and outside the shell is taken into account. An explicit expression is derived for the critical electrical load for the case of constant electromechanical characteristics. Using a spherical shell as an example, we study the effect that the frequency of the harmonic load, the geometric parameters, and the external acoustic medium have on the critical electrical load as well as the temperature dependence of the electromechanical properties, including the Curie point, on the temperature-frequency characteristics. Translated from Prikladnaya Mekhanika, Vol. 35, No. 11, pp. 62–67, November, 1999.     

Control of axisymmetric resonant vibrations and self-heating of shells of revolution with piezoelectric sensors and actuators

The coupled problem of forced vibrations and self-heating of thermoviscoelectroelastic shells of revolution with piezoceramic sensor and actuator under monoharmonic loading is solved. The temperature dependence of the complex characteristics of the passive and piezoactive materials is taken into account. The coupled nonlinear problem of thermoelectroelasticity is solved by time-marching integration, using discrete orhogonalization to integrate the equations of elasticity and explicit finite differencing to solve the heat conduction equation. The effect of the dimensions of the sensor and actuator and self-heating on the sensor voltage and on the active damping of forced vibrations of a circular plate under uniform monoharmonic transverse pressure is studied     

Structure and magnetic properties of AgFeP2O7

AgFeP₂O₇ has been synthesized by flux crystallization and characterized by single crystal and powder X-ray diffraction (sp. gr. P2₁/c, a=7.3298(2), b=7.9702(2), c=9.5653(2) Å, β=111.842(1)°, V=518.68(2) Å³) and FTIR-spectroscopy. The structure is composed of isolated iron octahedra and phosphate tetrahedra interconnected into 3D network with hexagonal channels, where silver counter-ions are located. The magnetic behavior of the compound approaches the Curie-Weiss equation with a Weiss constant θ=−165.9 K indicating strong antiferromagnetic interaction between iron(III) ions.     

Single-frequency vibrations and vibrational heating of a piezoelectric circular sandwich plate under monoharmonic electromechanical loading

The forced monoharmonic bending vibrations and dissipative heating of a piezoelectric circular sandwich plate under monoharmonic mechanical and electrical loading are studied. The core layer is passive and viscoelastic. The face layers (actuators) are piezoelectric and oppositely polarized over the thickness. The plate is subjected to harmonic pressure and electrical potential. The viscoelastic behavior of the materials is described by complex moduli dependent on the temperature of heating. The coupled nonlinear problem is solved numerically. A numerical analysis demonstrates that the natural frequency, amplitude of vibrations, mechanical stresses, and temperature of dissipative heating can be controlled by changing the area and thickness of the actuator. It is shown that the temperature dependence of the complex moduli do not affect the electric potential applied to the actuator to compensate for the mechanical stress __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 1, pp. 79–89, January 2008.