共查询到20条相似文献,搜索用时 15 毫秒
1.
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
2.
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
3.
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
4.
The paper discusses the active damping of the resonant flexural vibrations of a hinged 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 mechanical and thermal fields is taken into
account. The Bubnov–Galerkin method is used. The effect of dissipative heating, the dimensions of the piezoelectric inclusions,
and the feedback factor on the effectiveness of active damping of resonance vibrations of the plate is studied 相似文献
5.
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
6.
Dr. N. Gajendar 《Archive of Applied Mechanics (Ingenieur Archiv)》1968,37(3):141-148
Summary The present study deals with the bending of a rectangular plate with two opposite simply-supported edges and other two free edges having any portion, clamped in such a way that the slope is zero. The solution is obtained by means of a superposition proposed by Kurata and Hatano [3]. The case of a square plate under a uniform load or a point load has been studied in detail.
This paper is a part of author's Ph. D. thesis submitted to the Indian Institute of Technology, Kharagpur in 1965. 相似文献
Übersicht Es wird die Biegung einer rechteckigen Platte untersucht, von der zwei Ränder einfach unterstützt sind, während die anderen Ränder zum Teil frei sind, zum Teil so eingespannt, daß die Neigung verschwindet. Die Lösung wird mit Hilfe einer Superposition erhalten, die von Kurata und Hatano [3] vorgeschlagen wurde. Für den Fall einer quadratischen Platte unter einer gleichförmigen Last oder einer Einzellast werden die Berechnungen weiter ausgeführt.
This paper is a part of author's Ph. D. thesis submitted to the Indian Institute of Technology, Kharagpur in 1965. 相似文献
7.
In this paper the general problem of a rectangular plate clamped along two parallel sides and containing a crack parallel to the clamps is considered. The problem is formulated in terms of a system of singular integral equations and the asymptotic behaviour of the stress state near the corners is investigated. Numerical examples are considered for a clamped plate without a crack and with a centrally located crack, and the stress intensity factors and the stresses along the clamps are calculated. 相似文献
8.
The natural frequencies and mode shapes of partially clamped trapezoidal cantilever plates having various swept-back angles are examined numerically and experimentally by a finite-element computer program, SAP6, and holographic interferometry, respectively. A good agreement is found between the numerical and the experimental results. The influence of the clamped position, the free-width ratio, and the swept-back angle on the vibratory behavior of the trapezoidal plates is investigated.Paper was presented at the 1990 SEM Spring Conference on Experimental Mechanics held in Albuquerque, NM on June 3–6. 相似文献
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《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
12.
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
13.
Using the fundamental solution of a single crack and the Fourier transform solution of an infinite strip, the tension problem
of a clamped rectangular plate containing a central crack is reduced to solve a system of singular integral equations. Then,
the normal stress on clamped side and the stress intensity factors of the central crack are carried out by means of Gauss-Jacobi
integration formulas. The comparison of numerical results is shown in the “table of stress intensity factors”.
This work was supported by the Science Fund of the Academy of Sciences of China. 相似文献
14.
D. A. Khodzhaev B. Kh. Éshmatov 《Journal of Applied Mechanics and Technical Physics》2007,48(6):905-914
The problem of vibrations of a viscoelastic plate with concentrated masses is studied in a geometrically nonlinear formulation.
In the equation of motion of the plate, the action of the concentrated masses is taken into account using Dirac δ-functions.
The problem is reduced to solving a system of Volterra type ordinary nonlinear integrodifferential equations using the Bubnov-Galerkin
method. The resulting system with a singular Koltunov-Rzhanitsyn kernel is solved using a numerical method based on quadrature
formulas. The effect of the viscoelastic properties of the plate material and the location and amount of concentrated masses
on the vibration amplitude and frequency characteristics is studied. A comparison is made of numerical calculation results
obtained using various theories.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 6, pp. 158–169, November–December, 2007. 相似文献
15.
Yong-Gang Huang 《Acta Mechanica Solida Sinica》1988,1(2):215-221
The conventional method of solution for clamped rectangular plate lies in releasing the constraints for rotation at the clamped sides and substituting them by equivalent distributed bending moments. This paper gives a general formulation of this method for arbitrary load with proof of the convergence, and discusses the rate of convergence for displacements and bending moments. The method and its convergence can be extended to the case of arbitrary boundary conditions and to plate on elastic foundation.The author expresses his sincere gratitude to Prof. Hu Hai-chang for guidance in this work. 相似文献
16.
Nonlinear Dynamics - A new model-free robust control scheme for payload swing angle attenuation of two-dimensional crane systems with varying rope length is introduced in this work. The proposed... 相似文献
17.
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
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