共查询到20条相似文献,搜索用时 15 毫秒
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 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
3.
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
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 2, pp. 78–84, February 2008. 相似文献
4.
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
5.
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
6.
The coupled problem of the forced axisymmetric vibrations and self-heating of electrothermoviscoelastic cylindrical shells
with piezoceramic actuators under monoharmonic electromechanical 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 electrothermoelasticity
is solved by using a time-marching method with discrete orthogonalization at each time step (to integrate the equations of
elasticity) and an explicit finite-difference method (to solve the heat-conduction equations). An analysis is made of the
effect of the boundary conditions at the shell ends, the dimensions of the piezoactuator, and the self-heating temperature
on the actuator voltage and the effectiveness of active damping of the forced vibrations of the shell under uniform transverse
monoharmonic pressure 相似文献
7.
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
8.
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
9.
The active vibration control of a rectangular plate either partially or fully submerged in a fluid was investigated. Piezoelectric sensors and actuators were bonded to the plate, and the assumed mode method was used to derive a dynamic model for the submerged plate. The properties of the piezoelectric actuators and sensors, as well as their coupling to the structure, were used to derive the corresponding equations of their behaviour. The fluid effect was modelled according to the added virtual mass obtained by solving the Laplace equation. The natural vibration characteristics of the plate both in air and in water were obtained theoretically and were found to be consistent with the experimental results, and the changes in the natural frequencies resulting from submersion in fluid can be accurately predicted. A multi-input, multi-output positive position feedback controller was designed by taking the natural vibration characteristics into account and was then implemented by using a digital controller. The experimental results show that piezoelectric sensors and actuators along with the control algorithm can effectively suppress the vibration of a rectangular plate both in air and submerged in a fluid. 相似文献
10.
11.
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
12.
《Comptes Rendus de l'Académie des Sciences》2001,329(8):615-620
This paper presents the equations of motion of an air saturated rectangular porous plate. The model is based on a mixed displacement–pressure formulation of the Biot–Allard theory [1]. We obtain a system of equations which describe the coupling beetween the solid and fluid phases of the plate. This system is solved by applying the Galerkin method. 相似文献
13.
V. A. Popov 《Journal of Elasticity》1993,30(2):107-121
An asympototic method developed by V.V. Kucherenko and the author is applied to the problem of free vibrations of a thin plate strip in a state of a plane strain. The first few terms of an asymptotic expansion of the natural frequencies are calculated. The results are compared with those obtained by using the classical and refined theories. 相似文献
14.
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
15.
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
16.
17.
V. L. Karlash 《International Applied Mechanics》2007,43(5):547-553
An attempt is made to systematize experimental data for a rectangular piezoceramic plate and to compare them with those on
planar vibrations of a thin piezoceramic half-disk. Experimental data on planar vibrations of a half-disk are discussed for
the first time. Neighboring vibration modes of a rectangular plate with solid electrodes demonstrate strong superposition
and coupling
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 5, pp. 89–96, May 2007. 相似文献
18.
The nonlinear vibrations of a composite laminated cantilever rectangular plate subjected to the in-plane and transversal excitations are investigated in this paper. Based on the Reddy??s third-order plate theory and the von Karman type equations for the geometric nonlinearity, the nonlinear partial differential governing equations of motion for the composite laminated cantilever rectangular plate are established by using the Hamilton??s principle. The Galerkin approach is used to transform the nonlinear partial differential governing equations of motion into a two degree-of-freedom nonlinear system under combined parametric and forcing excitations. The case of foundational parametric resonance and 1:1 internal resonance is taken into account. The method of multiple scales is utilized to obtain the four-dimensional averaged equation. The numerical method is used to find the periodic and chaotic motions of the composite laminated cantilever rectangular plate. It is found that the chaotic responses are sensitive to the changing of the forcing excitations and the damping coefficient. The influence of the forcing excitation and the damping coefficient on the bifurcations and chaotic behaviors of the composite laminated cantilever rectangular plate is investigated numerically. The frequency-response curves of the first-order and the second-order modes show that there exists the soft-spring type characteristic for the first-order and the second-order modes. 相似文献
19.
I. F. Kirichok 《International Applied Mechanics》2006,42(3):336-341
The forced flexural vibrations and dissipative heating of a bimorph ring plate are studied. The plate is made of viscoelastic
piezoceramics and is polarized across the thickness. The outer surfaces of the plate are nonuniformly electroded, and harmonic
electric excitation is applied to the electrodes. The viscoelastic behavior of the material is described using the concept
of temperature-dependent complex moduli. The coupled nonlinear problem of thermoviscoelasticity is solved by time iteration
using, at each iteration, the discrete-orthogonalization method to integrate the mechanics equations and the explicit finite-difference
method to solve the heat-conduction equation with a nonlinear heat source. Numerical calculations demonstrate that by changing
the size of the ring electrode we can influence the natural frequency, stress and displacement distributions, dissipative-heating
temperature, and amplitude-and temperature-frequency characteristics. With certain boundary conditions, there is an optimal
electrode configuration that produces deflections of maximum amplitudes when an electric excitation is applied
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 3, pp. 102–109, March 2006. 相似文献
20.
I. F. Kirichok 《International Applied Mechanics》2011,46(8):890-901
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 相似文献