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1.
The paper discusses the active damping of the resonant flexural vibrations of a clamped thermoviscoelastic rectangular plate
with distributed piezoelectric sensors and actuators. The thermoviscoelastic behavior of the passive and active materials
is described using the concept of complex characteristics. The interaction of the mechanical and thermal fields is taken into
account. The Bubnov–Galerkin method is used. The effect of self-heating, the dimensions of the piezoelectric inclusions, and
the feedback factor on the effectiveness of active damping of the resonance vibrations of the plate is studied 相似文献
2.
The basic equations of the theory of thermoviscoelastic thin-walled plates with piezoelectric sensors and actuators under
monoharmonic mechanical and electric loading are derived using the Kirchhoff–Love hypotheses. The thermomechanical behavior
of passive and piezoactive materials is described using the concept of complex characteristics. Methods of solving nonlinear
problems of active damping of thermomechanical vibrations of plates with sensors and actuators are considered. The effect
of dissipative heating on the damping of axisymmetric vibrations of a thermoviscoelastic solid circular plate is analyzed
as an example 相似文献
3.
The forced monoharmonic vibrations and self-heating of a circular thermoviscoelastic plate with piezoelectric sensor and actuator
are studied. The viscoelastic behavior of the passive (without piezoeffect) and piezoactive materials is described using the
concept of complex moduli. The problems of electroelasticity and heat conduction are solved numerically, assuming that the
mechanical load is unknown. The effect of self-heating on the active damping of the vibrations of the plate is analyzed 相似文献
4.
The basic equations for thin-walled thermoviscoelastic plates with distributed piezoelectric actuators under monoharmonic
mechanical and electric loads are derived. The thermomechanical behavior of materials is described using the concept of complex
characteristics. Variational methods of solving nonlinear problems of active damping of the bending vibrations of plates are
considered. The effect of dissipative heating on the damping of the axisymmetric bending vibrations of a circular plate is
examined as an example
Translated from Prikladnaya Mekhanika, Vol. 45, No. 2, pp. 107–123, February 2009. 相似文献
5.
T. V. Karnaukhova 《International Applied Mechanics》2010,46(5):562-566
An approach to the active damping of the forced resonant vibrations of orthotropic thermoviscoelastic plates with distributed
sensors and actuators is proposed. The mechanical load is assumed unknown and is determined from the sensors’ indications.
The problem of active damping of an isotropic thermoviscoelastic rectangular plate with hinged edges is solved as an example.
A formula for the voltage to be applied to the actuator to damp the forced vibrations in the first mode is derived. The effect
of the dimensions of the sensor and actuator and the dissipative properties of the materials on the effectiveness of active
damping is studied 相似文献
6.
The active damping of the resonant vibrations of a hinged flexible viscoelastic rectangular plate with distributed piezoelectric
sensors and actuators is considered. It is shown that it is possible to considerably decrease the amplitude of resonant vibrations
by choosing the appropriate feedback factor. The collective effect of geometrical nonlinearity and dissipative properties
of the material on the effectiveness of active damping of the resonance vibrations of rectangular plates with sensors and
actuators is analyzed 相似文献
7.
A new approach is followed to study the effect of mixed mechanical boundary conditions on the effectiveness of active damping
of the forced resonant vibrations of thermoviscoelastic orthotropic plates. The problem is solved by the Bubnov–Galerkin method.
Formulas for the voltage that should be applied to the actuator to damp the first vibration mode are derived. It is shown
that the mechanical boundary conditions, the dissipative properties of the material, and the dimenstions of the sensors and
actuators have a strong effect on the effectiveness of active damping of the vibrations of plates 相似文献
8.
The problem of active damping of the nonstationary vibrations of a hinged rectangular plate with distributed piezoelectric
actuators is solved using Timoshenko’s hypotheses. To this end, two methods are employed: (i) a classical method of balancing
the principal vibration modes by applying the appropriate potential difference to the actuator and (ii) the dynamical-programming
method that reduces the problem to the matrix algebraic Riccati equation. The results obtained by both approaches are compared.
The effect of the shear modulus on the amplitude of the damping potential difference and the deflection of the plate is analyzed 相似文献
9.
The paper examines the effect of dissipative heating on the performance of a sensor in a hinged thermoviscoelastic rectangular
plate undergoing resonant flexural vibrations. The thermoviscoelastic behavior of materials is described using the concept
of complex characteristics. The coupling of the electromechanical and thermal fields is taken into account. The nonlinear
problem is solved by the variational and Bubnov–Galerkin methods. The effect of the dissipative-heating temperature and the
dimensions of the sensor on its performance during resonant vibrations of the plate is analyzed. 相似文献
10.
International Applied Mechanics - The problem of the forced resonant vibrations and dissipative heating of a hinged thermoviscoelastic cylindrical shell with piezoelectric actuators and sensors is... 相似文献
11.
《Wave Motion》2020
Vibrations and the damping behaviour of thin constrained composite plates with double piezoelectric layers are analytically explored by using Fourier transformation and classical laminated plate theory. Electric potential equations in the double piezoelectric layers are solved with respect to closed and open circuit boundary conditions, an exterior dielectric slab and active control. The natural frequencies and loss factors of the constrained smart composite plates with passive control methods are not notably changed in comparison with those of the constrained composite plates without piezoelectric effects since vibrational energy does not efficiently convert to electrical energy. The loss factors of the composite plates with active constrained damping increase and the natural frequencies have significant variations as the proportional derivative gains increase. Transverse displacement power spectra of the piezoelectric composite plates with active control are compared with those of the piezoelectric composite plates with passive control showing that active control has the best suppression performance of vibrations for the constrained laminated plates with double piezoelectric layers. Radial power spectral density, phase angles and cylindrical-wave power spectral density are calculated. Interesting patterns of wave propagation are explained when plane wave expansion is used to obtain Bessel cylindrical waves. 相似文献
12.
The paper addresses the active damping of nonstationary vibrations of a hinged rectangular plate with distributed piezoelectric
actuators. The problem is solved by two methods: (i) the classical method of balancing the fundamental vibration modes by
applying the appropriate potential difference to the actuator and (ii) the dynamic-programming method that reduces the problem
to an algebraic Riccati equation. The results produced by both approaches are presented and compared
__________
Translated from Prikladnaya Mekhanika, Vol. 44, No. 2, pp. 78–84, February 2008. 相似文献
13.
Active damping of the resonant vibrations of a flexible cylindrical panel with sensors and actuators
The active damping of the resonant vibrations of a flexible cylindrical panel with rectangular planform and clamped edges
is considered. The damping is done with distributed piezoelectric sensors and actuators. It is shown that the amplitude of
the resonant vibrations can be substantially decreased by choosing the appropriate feedback factors. The combined effect of
geometrical nonlinearity and dissipative properties of the material on the effectiveness of damping is analyzed 相似文献
14.
Seyedeh Marzieh Hosseini Alireza Shooshtari Hamed Kalhori S. Nima Mahmoodi 《Nonlinear dynamics》2014,78(1):571-583
This paper aims to study the nonlinear-forced vibrations of a viscoelastic cantilever with a piecewise piezoelectric actuator layer on its top surface using the method of Multiple Scales. The governing equation of motion is a second-order nonlinear ordinary differential equation with quadratic and cubic nonlinearities which appear in stiffness, inertia, and damping terms. The nonlinear terms are due to the piezoelectricity, viscoelasticity, and geometry of the system. Forced vibrations of the system are investigated in the cases of primary resonance and non-resonance hard excitation including subharmonic and superharmonic resonances. Analytical expressions for frequency responses are derived, and the effects of different parameters including damping coefficient, thickness to width ratio of the beam, length and position of the piezoelectric layer, density of the beam, and the piezoelectric coefficient on the frequency-response curves are discussed for each case. It is shown that in all these cases, the response of the system follows a softening behavior due to the existence of the piezoelectric layer. The piezoelectric layer provides an effective tool for active control of vibration. In addition, the effect of the viscoelasticity of the beam on passive control of amplitude of vibration is illustrated. 相似文献
15.
The paper addresses the active damping of the resonant flexural vibration of a hinged viscoelastic rectangular plate with
distributed piezoelectric actuators. The thermomechanical behavior of passive and active materials is described using the
concept of complex characteristics. The interaction of the mechanical and temperature fields is taken into account. To solve
the problem, the variational and Bubnov–Galerkin methods are used. The effect of the temperature of dissipative heating on
the effectiveness of the active damping of resonant vibration is studied 相似文献
16.
A. S. Ivanov V. P. Matvienko D. A. Oshmarin N. V. Sevodina M. A. Yurlov N. A. Yurlova 《Mechanics of Solids》2016,51(3):273-283
We consider elastoplastic systems which are piecewise homogeneous bodies composed of piezoelectric elements some of which have piezoelectrical properties. Electric series circuits consisting of resistors, capacitors, and inductance coils are applied to piezoelectric elements through the electrode coating on the body surface. The goal of the study is to develop efficient methods of mathematical modelling for determining the parameters of elements of the external electric circuit, which ensure, at prescribed resonance frequencies, the maximum damping properties of electroelastic bodies with external electric circuits. To choose effective circuits for solving the problem posed above, we suggest to pose the problem of natural vibrations of elastic bodies whose elements exhibit piezoeffect and have external electric circuits.As the most efficient approaches for calculating the electric circuit parameters necessary for the maximal damping, we propose some versions of equivalent circuits, which can be used to substitute elastic systems with piezoelectric elements. The most reliable equivalent substitution circuits are justified on the basis of the proposed problem of natural vibrations. Numerical results are obtained for a cantilever plate with a piezoelement connected through the electrode coated surface with a series electric circuit consisting of resistors, capacitors and inductance coils. 相似文献
17.
The paper addresses the active damping of the resonant flexural vibration of a clamped viscoelastic rectangular plate with
distributed piezoelectric actuators. The thermomechanical behavior of passive and active materials is described using the
concept of complex characteristics. The interaction of the mechanical and thermal fields is taken into account. To solve the
problem, the variational and Bubnov–Galerkin methods are used. The effect of the temperature of dissipative heating on the
effectiveness of the active damping of resonant vibration is studied 相似文献
18.
The paper examines the effect of dissipative heating on the performance of a sensor in a viscoelastic rectangular plate undergoing
resonant vibrations. The thermoviscoelastic behavior of materials is described using the concept of complex characteristics.
The coupling of the electromechanical and thermal fields is taken into account. The nonlinear problem is solved by the Bubnov–Galerkin
method. The effect of the mechanical boundary conditions and dissipative-heating temperature on the performance of the sensors
is analyzed 相似文献
19.
采用压电机敏元件进行结构振动控制Ⅲ:控制系统设计与实验研究 总被引:5,自引:0,他引:5
采用作者在上篇导出的压电耦合体动力学模型,给出了压电主动阻尼控制系统的设计方法;导出了压电耦合梁系统的作动方程和检测方程的显式表达式。以此为基础,以简单梁为对象,对压电检测器和作动器的性能、粘结层的影响、压电主动阻尼控制及压电主、被动阻尼双控制进行了实验研究 相似文献
20.
We present a systematic analysis of the eigenvalue problem associated with free vibrations of a finite piezoelectric body. The analysis is based on an abstract formulation of the three-dimensional theory of piezoelectricity. A series of fundamental properties of free vibrations of a piezoelectric body are proved concisely. The problem of free vibrations of a piezoelectric plate governed by the two-dimensional plate equations due to Mindlin is treated in a similar manner.Address after September 1, 1994: Department of Mechanical Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180, USA.Address after August 16, 1994: Clifton Garvin Professor, Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA. 相似文献