共查询到20条相似文献,搜索用时 31 毫秒
1.
The nonlinear parametric vibrations of cylindrical shell are described by the Donnell–Mushtari–Vlasov equations. The motions
are represented as a mode expansion. Discretization is performed using the Bubnov–Galerkin method. The describing-function
method is used to study traveling waves and nonlinear normal modes in systems with and without dissipation 相似文献
2.
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
3.
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
4.
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
5.
B. Kh. Eshmatov 《Journal of Applied Mechanics and Technical Physics》2006,47(2):289-297
The dynamic stability problem of viscoelastic orthotropic and isotropic plates is considered in a geometrically nonlinear
formulation using the generalized Timoshenko theory. The problem is solved by the Bubnov-Galerkin procedure combined with
a numerical method based on quadrature formulas. The effect of viscoelastic and inhomogeneous properties of the material on
the dynamic stability of a plate is discussed.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 2, pp. 165–175, March–April, 2006. 相似文献
6.
A dynamic problem for a cylindrical shell on an elastic foundation is formulated. A numerical algorithm for solving this problem
is outlined. The results obtained are analyzed
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 12, pp. 103–109, December 2007. 相似文献
7.
We consider parametrically excited vibrations of shallow cylindrical panels. The governing system of two coupled nonlinear partial differential equations is discretized by using the Bubnov–Galerkin method. The computations are simplified significantly by the application of computer algebra, and as a result low dimensional models of shell vibrations are readily obtained. After applying numerical continuation techniques and ideas from dynamical systems theory, complete bifurcation diagrams are constructed. Our principal aim is to investigate the interaction between different modes of shell vibrations under parametric excitation. Results for system models with four of the lowest modes are reported. We essentially investigate periodic solutions, their stability and bifurcations within the range of excitation frequency that corresponds to the parametric resonances at the lowest mode of vibration. 相似文献
8.
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
9.
Bakhtiyor Eshmatov 《应用数学和力学(英文版)》2007,28(10):1319-1330
The present work discusses the problem of dynamic stability of a viscoelas- tic circular cylindrical shell,according to revised Timoshenko theory,with an account of shear deformation and rotatory inertia in the geometrically nonlinear statement.Pro- ceeding by Bubnov-Galerkin method in combination with a numerical method based on the quadrature formula the problem is reduced to a solution of a system of nonlinear integro-differential equations with singular kernel of relaxation.For a wide range of vari- ation of physical mechanical and geometrical parameters,the dynamic behavior of the shell is studied.The influence of viscoelastic properties of the material on the dynamical stability of the circular cylindrical shell is shown.Results obtained using different theories are compared. 相似文献
10.
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
11.
The paper outlines a procedure to identify the space-and time-dependent external nonstationary load acting on a closed circular
cylindrical shell of medium thickness. Time-dependent deflections at several points of the shell are used as input data to
solve the inverse problem. Examples of numerical identification of various nonstationary loads, including moving ones are
presented. The relationship between the external load and the stress-strain state of the shell is described by the Volterra
equation of the first kind. The identification problem is solved using Tikhonov's regularization method and Apartsin's h-regularization method
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 7, pp. 91–100, July 2008. 相似文献
12.
The free vibrations of flexible shallow shells with complex planform are studied. To analyze the natural frequencies and modes
of linear vibrations, the R-function and Rayleigh–Ritz methods are used. A discrete model is obtained using the Bubnov–Galerkin
method. The nonlinear vibrations are studied by combining the nonlinear normal mode method and the multiple-scales method.
Skeleton curves of natural vibrations are drawn 相似文献
13.
M. F. Ionina 《Journal of Applied Mechanics and Technical Physics》1999,40(6):1163-1172
The plane unsteady problem of impact of a thin elastic cylindrical shell on the surface of an ideal incompressible liquid
is considered. The initial stage of interaction between the body and the liquid when the stresses in the shell attain peak
values is studied. The problem is treated in a linearized formulation and is solved numerically by the normal modes method
within the framework of the Wagner approach. The numerical results agree with experimental data for various types of circular
cylindrical shells made from mild steel.
Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 6, pp. 186–197, November–December, 1999. 相似文献
14.
Wei Cao Changyu Shen Chunjie Zhang Lixia Wang 《Archive of Applied Mechanics (Ingenieur Archiv)》2008,78(5):363-377
A numerical approach is introduced to solve the viscoelastic flow problem of filling and post-filling in injection molding.
The governing equations are in terms of compressible, non-isothermal fluid, and the constitutive equation is based on the
Phan–Thien–Tanner model. By introducing some hypotheses according to the characteristics of injection molding, a quasi-Poisson
type equation about pressure is derived with part integration. Besides, an analytical form of flow-induced stress is also
generalized by using the undermined coefficient method. The conventional Galerkin approach is employed to solve the derived
pressure equation, and the ‘upwind’ difference scheme is used to discrete the energy equation. Coupling is achieved between
velocity and stress by super relax iteration method. The flow in the test mold is investigated by comparing the numerical
results and photoelastic photos for polystyrene, showing flow-induced stresses are closely related to melt temperatures. The
filling of a two-cavity box is also studied to investigate the viscoelastic effects on real injection molding. 相似文献
15.
A. E. Korenchenko V. P. Beskachko 《Journal of Applied Mechanics and Technical Physics》2008,49(1):80-83
The problem of decaying rotation of a disk floating on the surface of a viscoelastic fluid in a cylindrical container is solved
by numerical methods. The motion is found to have the form of decaying oscillations observed previously for water. In addition
to the viscosity coefficient, the constructed mathematical model of the viscoelastic fluid has two more independent parameters:
shear modulus and time of relaxation of elastic stresses. Elastic parameters of water are determined through comparisons with
experimental data.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 1, pp. 100–103, January–February, 2008. 相似文献
16.
X. X. Hu T. Sakiyama K. Itakura 《Archive of Applied Mechanics (Ingenieur Archiv)》2002,72(4-5):330-341
Summary A numerical procedure is proposed for the analysis of free vibrations of pretwisted thin plates. An accurate strain–displacement
relationship based on the thin-shell theory combined with the finite element method using triangular plate elements with three
nodes and nine degrees of freedom for each node is utilized. The vibration characteristics of pretwisted thin plates with
different twist rates and aspect ratios are studied. The numerical results are compared with the previous results obtained
by various types of finite elements and by the Rayleigh–Ritz method. The effect of the twist rate on the vibration characteristics
is studied briefly.
Received 28 February 2001; accepted for publication 18 December 2001 相似文献
17.
S. A. Bochkarev V. P. Matveenko 《Journal of Applied Mechanics and Technical Physics》2008,49(2):313-322
A mixed finite-element algorithm is proposed to study the dynamic behavior of loaded shells of revolution containing a stationary
or moving compressible fluid. The behavior of the fluid is described by potential theory, whose equations are reduced to integral
form using the Galerkin method. The dynamics of the shell is analyzed with the use of the variational principle of possible
displacements, which includes the linearized Bernoulli equation for calculating the hydrodynamic pressure exerted on the shell
by the fluid. The solution of the problem reduces to the calculation and analysis of the eigenvalues of the coupled system
of equations. As an example, the effect of hydrostatic pressure on the dynamic behavior of shells of revolution containing
a moving fluid is studied under various boundary conditions.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 2, pp. 185–195, March–April, 2008 相似文献
18.
Ping Lou 《Archive of Applied Mechanics (Ingenieur Archiv)》2007,77(10):707-728
This article deals with the dynamic analysis of train–track–bridge interaction system using the finite element method. In
this interaction system, each four-wheelset vehicle in the train is modeled by a mass–spring–damper system with 10 degrees
of freedom; the rails and the bridge decks are modeled as a number of Bernoulli–Euler beam elements, while the elasticity
and damping properties of the rail bed are represented by continuous springs and dampers. The equation of motion for the interaction
system is presented in matrix form with time-dependent coefficients. The correctness of the proposed procedure is illustrated
by a comparison with the numerical result from the existing literature. Several numerical examples are chosen to investigate
the effect of two types of vehicle models, two types of bridge models and three damping values of bridge on the maximum dynamic
responses of train, track and bridges. 相似文献
19.
A. S. Kravchuk 《Journal of Applied Mechanics and Technical Physics》2001,42(3):551-557
A mathematical model for impedance computer tomography methods is considered. The continuum formulation of the main problem is studied. Resolving integral equations are derived. A solution algorithm based on the Bubnov—Galerkin method with linearization of nonlinear resolving equations is developed. A numerical example is given, and numerical results are analyzed. Some drawbacks of the model are considered together with methods for avoiding them. 相似文献
20.
Free vibration characteristics of circular cylindrical shell with passive constrained layer damping (PCLD) are presented.
Wave propagation approach rather than finite element method, transfer matrix method, and Rayleigh-Ritz method is used to solve
the problem of vibration of PCLD circular cylindrical shell under a simply supported boundary condition at two ends. The governing
equations of motion for the orthotropic cylindrical shell with PCLD are derived on the base of Sanders’ thin shell theory.
Numerical results show that the present method is more effective in comparison with other methods. The effects of the thickness
of viscoelastic core and constrained layer, the elastic modulus ratio of orthotropic constrained layer, the complex shear
modulus of viscoelastic core on frequency parameter, and the loss factor are discussed. 相似文献