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2.
Analysis of laminated piezoelectric cylindrical shells 总被引:2,自引:0,他引:2
A new method is developed for three-dimensional stress analysis of laminated piezoelectric cylindrical shell with simple support.
The shell can be subjected to various applied loadings, including distributed body force, inner and outer surface traction
and potential. Each layer of the shell can be piezoelectric or elastic/dielectric, with perfect bonding assumed between each
interface. The governing equations are solved by the state-space technique. Numerical results are presented to show the sensing
and actuating effects of three-layered piezoelectric cylindrical shell.
The project supported by the National Natural Science Foundation of China (19572027) 相似文献
3.
An experimental investigation on the dynamic axial buckling of cylindrical shells using a Kolsky Bar
Several experiments were performed with a Kolsky Bar (Split Hopkinson Pressure Bar) device to investigate the dynamic axial
buckling of cylindrical shells. The Kolsky Bar is a loading as well as a measuring device which can subject the shells to
a fairly good square pulse. An attempt is made to understand the interaction between the stress wave and the dynamic buckling
of cylindrical shells. It is suggested that the dynamic axial buckling of the shells, elastic or elasto-plastic, is mainly
due to the compressive wave rather than the flexural or bending wave. The experimental results seem to support the two critical
velocity theory for plastic buckling, withV
c1
corresponding to an axisymmetric buckling mode andV
c2
corresponding to a non-symmetric buckling mode.
The project supported by National Natural Science Foundation of China 相似文献
4.
Discarding any assumption regarding displacement or stress models, the state equation for orthotropy is established in a cylindrical
system. The exact solution is presented for the statics of thick closed laminated cantilever cylindrical shells. Every equation
of elasticity can be satisfied and all the elastic constants are taken into account. Arbitrary precision of a desired order
can be obtained.
Project supported by the National Natural Science Foundation of China 相似文献
5.
An analytic study for thermoelastic bending of a functionally graded material (FGM) cylindrical shell subjected to a uniform transverse mechanical load and non-uniform thermal loads is presented. Based on the classical linear shell theory, the equations with the radial deflection and horizontal displacement are derived out. An arbitrary material property of the FGM cylindrical shell is assumed to vary through the thickness of the cylindrical shell, and exact solution of the problem is obtained by using an analytic method. For the FGM cylindrical shell with fixed and simply supported boundary conditions, the effects of mechanical load, thermal load and the power law exponent on the deformation of the FGM cylindrical shell are analyzed and discussed. 相似文献
6.
In this paper, we use the method of mixed-type series to derive the analytical solutions of cylindrical shell, which is simply supported along the transverse edges and subjected to the local vertical loads, and give the analytical expressions of the solutions for this kind of shell under five types of local vertical loading. A numerical example for a cylindrical shell roof, which is simply supported along the transverse edges and is free along the longitudinal edges, is given in this paper and from the calculated results it may be seen that the convergence of the solutions is considerably satisfactory. Using the solutions of this paper, we can deal with some practical problems of underground structure.Project Supported by the National Natural Science Foundation of China and by Scientific and Technical Fund of Ministry of Urban and Rural Construction and Environmental Protection.We are grateful to Mr. Lu Ping who has completed partial numerical calculations. 相似文献
7.
Liu Shutian Cheng Gengdong Gu Yuanxian Zhang Jinhai Yan Song 《Acta Mechanica Solida Sinica》1998,11(2):172-179
Owing to the existence of distributed holes, it is difficult to solve the bending problem of perforated plates by the conventional
finite element method. A homogenization-based method for this problem is presented in this paper. As an example, the bending
analysis of a circular perforated plate with distributed step-wise cylindrical holes is made. The deflection and the fundamental
frequency obtained by present method are in good agreement with experimental data, this implies that the method is effective.
This project is supported by the National Natural Science Foundation (19602007) and National Outstanding Youth Foundation
(19525206). 相似文献
8.
EXACTSOLUTIONOFTHETHICKLAMINATEDOPENCYLINDRICALSHELLSWITHFOURCLAMPEDEDGESFanJia-rang(范家让)(HefeiUniversityofTechnology)HefeiDi... 相似文献
9.
G. P. Dube S. Kapuria P. C. Dumir 《Archive of Applied Mechanics (Ingenieur Archiv)》1996,66(8):537-554
Summary This work presents an exact piezothermoelastic solution of infinitely long, simply supported, cylindrically orthotropic, piezoelectric, radially polarised, circular cylindrical shell panel in cylindrical bending under thermal and electrostatic excitation. The general solution of the governing differential equations is obtained by separation of variables. The displacements, electric potential and temperature are expanded in appropriate Fourier series in the circumferential coordinate to satisfy the boundary conditions at the simply-supported longitudinal edges. The governing equations reduce to Euler-Cauchy type of ordinary differential equations. Their general solution involves six constants for each Fourier component. These are solved from the algebraic equations obtained by satisfying the boundary conditions at the lateral surfaces. The solution of the inverse problem of inferring the applied temperature field from the given measured distribution of electrical potential difference between the lateral surfaces of the shell has also been presented. Numerical results are presented for typical thermal and electrostatic loadings for various values of radius to thickness ratio. 相似文献
10.
I.Introducti0nNowadays,thecurrenttheoriesofplatesandshe1ls,suchasthetheoriesofReissner's,KirchhoffLove'sandAmbartsumyan'setc,areestablishedons0mehypotheses.Forexample-assumethatthemechanicalquantitiesarethepolynomialsofacertaincoordinatevariable.Itisshown… 相似文献
11.
R. I. Nepershin 《Mechanics of Solids》2011,46(4):554-562
We use the Bernoulli-Euler kinematic hypothesis to model the steady-state process of shaping a thin-walled cylindrical shell
by bending an elastoplastic strengthening parent sheet on a three-roll bending machine. We determine the curvilinear shape
of the moving parent sheet in the bending area and the displacement of the central roll axis needed to obtain the prescribed
curvature of the cylindrical shell when leaving the bending area. One- and multitransition shell shaping processes are considered.
The computational model is in satisfactory agreement with experiments. 相似文献
12.
The catastrophe theory is used to study the impact buckling of elastic structures. A criterion for impact buckling is established based on the proposed catastrophe system, in whose bifurcation set the critical step load is located. By the present theory, the impact torsional buckling for a clamped cylindrical shell is studied and the critical step torques for different imperfections are given. Also, the static critical torque is given, and it is shown that the critical step torque is smaller than the critical static torque.The project is supported by National Natural Science Foundation of China 相似文献
13.
In this paper, a numerical method with high order accuracy and high resolution was developed to simulate the Richtmyer-Meshkov(RM)
instability driven by cylindrical shock waves. Compressible Euler equations in cylindrical coordinate were adopted for the
cylindrical geometry and a third order accurate group control scheme was adopted to discretize the equations. Moreover, an
adaptive grid technique was developed to refine the grid near the moving interface to improve the resolution of numerical
solutions. The results of simulation exhibited the evolution process of RM instability, and the effect of Atwood number was
studied. The larger the absolute value of Atwood number, the larger the perturbation amplitude. The nonlinear effect manifests
more evidently in cylindrical geometry. The shock reflected from the pole center accelerates the interface for the second
time, considerably complicating the interface evolution process, and such phenomena of reshock and secondary shock were studied.
The project supported by the National Natural Science Foundation of China (10176033, 10135010 and 90205025). The English text
was polished by Yunming Chen. 相似文献
14.
Martin G. Koller Long-Mao Zhao Jian-Chun Mu Gui-Tong Yang 《Acta Mechanica Solida Sinica》1991,4(3):343-353
The normal impact of a blunt cylindrical projectile on the apex of a thin spherical aluminium cap which caused large permanent displacements was experimentally investigated. Dynamic strain gauge measurements were carried out and the final deflection profile was measured. It was found that reversed plastic flow occurred throughout the deformation process.The project was supported by the Science Foundation of Shanxi Provice, China 相似文献
15.
The global deformation and local damage analysis of filled metallic cylindrical shells impacted by missiles 总被引:3,自引:0,他引:3
A group of theoretical models has been developed for analyzing transient dynamic response to filled metallic cylindrical shells
impacted by flat-nosed missiles at normal obliquity on the basis of the analogy modeling method of beam-on-foundation. It
can be used for solving the global deformation and the local failure of cylindrical shells in the impact process. The ballistic
limit speed and impact response history have been calculated by this group of theoretical models, and the inner pressure effect
on the ballistic limit speed and some parameters are discussed at length. The quantitative relationship between internal pressure
and the ballistic limit speed and some significant conclusions have been obtained, which are basically identical with previous
experimental results.
Project supported by Shanxi Natural Science and Returnee Foundations (no. 971004) 相似文献
16.
This paper is concerned with the determination of the normal force-displacement (NFD) relation for the contact problem of
cylindrical joints with clearance. A simple formulation for this contact problem is developed by modeling the pin as a rigid
wedge and the elastic plate as a simple Winkler elastic foundation. The numerical results show that the normal displacement
relation based on Hertz theory is only valid for the case of large clearance with a small normal load, and the NFD relation
based on Persson theory is only effective in the case of very small clearance. The proposed approximate model in this paper
gives better results than Hertz theory and Persson theory in a large range of clearances as seen from the comparison with
the results of FEM.
The project supported by the National Natural Science Foundation of (10272002; 60334030). The English text was polished by
Keren Wang. 相似文献
17.
A theoretical solution of cylindrically isotropic cylindrical tube for axisymmetric plane strain dynamic thermoelastic problem 总被引:2,自引:0,他引:2
A dynamic thermoelastic solution of a cylindrically isotropic cylindrical tube or solid cylinder with axisymmetric plane deformations
is developed. Since there exist thermal boundary conditions and tractions on the two surfaces of a cylindrical tube, the problem
under consideration is with inhomogeneous boundary conditions. Therefore we introduce a special function to transform the
inhomogeneous boundary conditions to homogeneous ones for an unknown function. Then by using the method of separation of variables,
the unknown function can be expressed as the multiplication series of Bessel functions and unknown time functions. Thirdly,
by virtue of the orthogonal properties of Bessel functions, the equations about these unknown time functions are derived and
the solutions are obtained. Finally, the displacement is obtained by adding the two parts mentioned above. By means of the
present method, integral transform can be avoided. It is suitable for arbitrary thermal loads and mechanical loads. Numerical
results are also presented for thermal shocked, cylindrically isotropic cylindrical tube and solid cylinder.
Project supported by the National Natural Science Foundation of China (No. 10172075 and No. 10002016). 相似文献
18.
秦圣立 《应用数学和力学(英文版)》1994,15(10):965-972
BENDINGPROBLEMSOFNON-HOMOGENEOUSCYLINDRICALORTHOTROPICCIRCULARPLATEQinSheng-li(秦圣立)(QufuNormalUnicersity,Qufu,Shandong)(Recei... 相似文献
19.
Refraction through cylindrical tubes 总被引:1,自引:0,他引:1
When viewed from the outside, objects placed inside containers with cylindrical walls (i.e. test tubes, beakers, pipes) appear distorted because of the curvature of the interfaces and the differing refractive indices of the media. We have developed a method for measuring the coordinates of a particle located inside a straight cylindrical tube by viewing it from two directions using a camera. A set of equations is derived which maps all points inside the tube to the camera image plane; ray tracing diagrams are shown for several important cases, indicating variable distortion, hidden regions, multiple images, and critical reflections. An experimental test was performed to check the calculations; excellent verification was obtained. 相似文献
20.
《International Journal of Solids and Structures》2005,42(24-25):6433-6456
A recently developed plate theory using the concept of shape function of the transverse coordinate parameter is extended to determine the stress distribution in an orthotropic functionally graded plate subjected to cylindrical bending. The transfer matrix method is presented to derive the shape function. The equations governing the plate deformation are then solved analytically using the transfer matrix method for arbitrary boundary conditions. For a simply supported functionally graded plate, a comparison of the present solution with the exact elasticity solution, the first- and third-order shear deformation plate theories is presented and discussed. It is demonstrated that the present method yields more accurate stresses than the first- and third-order shear deformation theories. The effect of boundary conditions and inhomogeneity of material on the displacements and stresses in functionally graded plates are investigated. A multi-span functionally graded plate with arbitrary boundary conditions is further considered to demonstrate the efficiency of the present method. 相似文献