Table of Content

18 July 2006, Volume 27 Issue 7

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Articles

DEFORMATION RIGIDITY OF ASSUMED STRESS MODES IN HYBRID ELEMENTS

ZHANG Can-hui;HUANG Qian;FENG Wei

2006, 27(7):  861-869 .  doi:10.1007/s10483-006-0701-z

Abstract ( 1428 )   PDF (188KB) ( 479 )  

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The new methods to determine the zero-energy deformation modes in the hybrid elements and the zero-energy stress modes in their assumed stress fields are presented by the natural deformation modes of the elements. And the formula of the additional element deformation rigidity due to
additional mode into the assumed stress field is derived. Based on, it is concluded in theory that the zero-energy stress mode cannot suppress the zero-energy deformation modes but increase the extra rigidity to the nonzero-energy deformation modes of the element instead. So they should not be employed to assume the stress field. In addition, the parasitic stress modes will produce the spurious parasitic energy and result the element behaving over rigidity. Thus, they should not be used into the assumed stress field even though they can suppress the zero-energy deformation modes of the element. The numerical examples show the performance of the elements including the zero-energy stress modes or the parasitic stress
modes.

INVESTIGATION OF BEHAVIOR OF MODE-I INTERFACE CRACK IN PIEZOELECTRIC MATERIALS BY USING SCHMIDT METHOD

ZHOU Zhen-gong;WANG Biao

2006, 27(7):  871-882 .  doi:10.1007/s10483-006-0702-y

Abstract ( 1425 )   PDF (226KB) ( 526 )  

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The behavior of a Mode-I interface crack in piezoelectric materials was investigated under the assumptions that the effect of the crack surface overlapping very near the crack tips was negligible. By use of the Fourier transform, the problem can be solved with the help of two pairs of dual
integral equations. To solve the dual integral equations, the jumps of the displacements across the crack surfaces were expanded in a series of Jacobi polynomials. It is found that the stress and the electric displacement singularities of the present interface crack solution are the same as ones of the ordinary crack in homogenous materials. The solution of the present paper can be returned to the exact solution when the upper half plane material is the same as the lower half plane material.

ON PROBLEM OF NEAREST COMMON FIXED POINT OF NONEXPANSIVE MAPPINGS

ZHANG Shi-sheng

2006, 27(7):  883-889 .  doi:10.1007/s10483-006-0703-z

Abstract ( 1426 )   PDF (133KB) ( 422 )  

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STRUCTURAL DAMAGE MODEL OF UNSATURATED EXPANSIVE SOIL AND ITS APPLICATION IN MULTI-FIELD COUPLE ANALYSIS ON EXPANSIVE SOIL SLOPE

LU Zai-hua;CHEN Zheng-han;FANG Xiang-wei;GUO Jian-feng;ZHOU Hai-qing

2006, 27(7):  891-900 .  doi:10.1007/s10483-006-0704-1

Abstract ( 1404 )   PDF (234KB) ( 435 )  

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Focused on the sensitivity to climate change and the special mechanical characteristics of undisturbed expansive soil, an elasto-plastic damage constitutive model was proposed based on the mechanics of unsaturated soil and the mechanics of damage. Undisturbed expansive soil was considered as a compound of non-damaged part and damaged part. The behavior of the non-damaged part was described using non-linear constitutive model of unsaturated soil. The property of the damaged part was described using a damage evolution equation and two yield surfaces, i.e., loading yield (LY) and shear yield (SY). Furthermore, a consolidation model for unsaturated undisturbed expansive soil was established and a FEM program named UESEPDC was designed. Numerical analysis on solid-liquid-gas tri-phases and multi-field couple problem was conducted for four stages and fields of stress, displacement, pore water pressure, pore air pressure, water content, suction, and the damage region as well as plastic region in an expansive soil slope were obtained.

WAVELET-BASED ESTIMATORS OF MEAN REGRESSION FUNCTION WITH LONG MEMORY DATA

LI Lin-yuan;XIAO Yi-min

2006, 27(7):  901-910 .  doi:10.1007/s10483-006-0705-1

Abstract ( 1515 )   PDF (168KB) ( 423 )  

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This paper provides an asymptotic expansion for the mean integrated squared error (MISE) of nonlinear wavelet-based mean regression function estimators with long memory data. This MISE expansion, when the underlying mean regression function is only piecewise smooth, is the same as analogous
expansion for the kernel estimators. However, for the kernel estimators, this MISE expansion generally fails if the additional smoothness assumption is absent.

TORSIONAL OSCILLATION OF RIGID DISK IN INFINITE TRANSVERSELY ISOTROPIC ELASTIC CYLINDER

Sakti Pada Barik;Mridula Kanoria;P. K. Chaudhuri

2006, 27(7):  911-917 .  doi:10.1007/s10483-006-0706-z

Abstract ( 1485 )   PDF (201KB) ( 413 )  

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AIRSHIP ATTITUDE TRACKING SYSTEM

WANG Xiao-liang;SHAN Xue-xiong

2006, 27(7):  919-926 .  doi:10.1007/s10483-006-0707-y

Abstract ( 1666 )   PDF (192KB) ( 612 )  

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The attitude tracking control problem for an airship with parameter uncertainties and external disturbances was considered in this paper. The mathematical model of the airship attitude is a multi-input/multi-output uncertain nonlinear system. Based on the characteristics of this system, a design method of robust output tracking controllers was adopted based on the upper-bounds of the uncertainties. Using the input/output feedback linearization approach and Liapunov method, a control law was designed, which guarantees that the system output exponentially tracks the given desired output. The controller is easy to compute and complement. Simulation results show that, in the closed-loop system, precise attitude control is accomplished in spite of the uncertainties and external disturbances in the system.

ANALYTICAL SOLUTIONS FOR RESPONSE OF COLLISION OF PARTICLE WITH CONICAL ROD CAUSED BY LONGITUDINAL VIBRATION

BAO Si-yuan;DENG Zi-chen

2006, 27(7):  927-934 .  doi:10.1007/s10483-006-0708-z

Abstract ( 1203 )   PDF (231KB) ( 568 )  

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The objective is to present exact analytical solutions of longitudinal impact analysis for slender conical rods struck by a particle and a new method is proposed for conical rod-particle impact analysis, in which the superposition
method is used and the response of the rod is presented. These analytical results are exact and can be used to validate the numerical methods or other analytical results. The numerical example shows that one of the advantages of the present method is that the analytical form is very simple. The result is that mass ratio and some variables describing the geometrical shape of rods such as taper, length and radius play an important role in impact dynamic system.

FLOW-INDUCED INTERNAL RESONANCES AND MODE EXCHANGE IN HORIZONTAL CANTILEVERED PIPE CONVEYING FLUID (I)

XU Jian;YANG Qian-biao

2006, 27(7):  935-941 .  doi:10.1007/s10483-006-0709-z

Abstract ( 1518 )   PDF (146KB) ( 594 )  

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The Newtonian method is employed to obtain nonlinear mathematical model of motion of a horizontally cantilevered and inflexible pipe conveying fluid. The order magnitudes of relevant physical parameters are analyzed qualitatively to establish a foundation on the further study of the model. The method of
multiple scales is used to obtain eigenfunctions of the linear free-vibration modes of the pipe. The boundary conditions yield the characteristic equations from which eigenvalues can be derived. It is found that flow velocity in the pipe may induced the 3:1, 2:1 and 1:1 internal resonances between the first and second modes such that the mechanism of flow-induced internal resonances in the pipe under consideration is explained theoretically. The
3:1 internal resonance first occurs in the system and is, thus, the most important since it corresponds to the minimum critical velocity.

FLOW-INDUCED INTERNAL RESONANCES AND MODE EXCHANGE IN HORIZONTAL CANTILEVERED PIPE CONVEYING FLUID (II)

XU Jian;YANG Qian-biao

2006, 27(7):  943-951 .  doi:10.1007/s10483-006-0710-z

Abstract ( 1555 )   PDF (326KB) ( 495 )  

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Based on the nonlinear mathematical model of motion of a horizontally cantilevered rigid pipe conveying fluid, the 3:1 internal resonance induced by the minimum critical velocity is studied in details. With the detuning parameters of internal and primary resonances and the amplitude of the external disturbing excitation varying, the flow in the neighborhood of the critical flow velocity yields that some nonlinearly dynamical behaviors occur in the system such as mode exchange, saddle-node, Hopf and co-dimension 2 bifurcations. Correspondingly, the periodic motion losses its stability by
jumping or flutter, and more complicated motions occur in the pipe under consideration. The good agreement between the analytical analysis and the numerical simulation for several parameters ensures the validity and accuracy of the present analysis.

INCREMENTAL HARMONIC BALANCE METHOD FOR AIRFOIL FLUTTER WITH MULTIPLE STRONG NONLINEARITIES

CAI Ming;LIU Ji-ke;LI Jun

2006, 27(7):  953-958 .  doi:10.1007/s10483-006-0711-y

Abstract ( 1598 )   PDF (185KB) ( 502 )  

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SYNCHRONOUS EFFECT OF SLIPPING HEAVY LOADS ON RO-RO SHIP ROLLING IN WAVES

ZHANG Yin-long;SHEN Qing;CHEN Xu-jun

2006, 27(7):  959-966 .  doi:10.1007/s10483-006-0712-y

Abstract ( 1362 )   PDF (191KB) ( 473 )  

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Common effect of wave and slip of internal vehicles will make rolling of the roll-on ship serious. This is one of the important reasons for overturn of ro-ro ships. The multibody system with a floating base is composed of ro-ro ship and slipping vehicles. Takes the rolling angle of the ship and the transverse displacements of the slipping vehicles on desk as freedoms. Making use of the analysis of apparent gravitation and apparent buoyancy, the wave rolling moment is derived. By means of dynamic method of multibody system, dynamic equations of the system are established. Taking a certain channel ferry as an example, a set of numerical calculation have been carried out for rolling response of the multibody system with a floating base of a ro-ro ship and displacements response of the slipping vehicles under common effect of free slipping vehicles and wave, and a conclusion has been drawn that the motion of the numerous free slipping heavy loads will trend to be synchronous under restraining of the side-wall bulkhead with time because of repeated collision.

DAMAGE MODEL OF CONTROL FISSURE IN PERILOUS ROCK

CHEN Hong-kai;TANG Hong-mei;YE Si-qiao

2006, 27(7):  967-974 .  doi:10.1007/s10483-006-0713-y

Abstract ( 1609 )   PDF (206KB) ( 768 )  

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NONEXISTENCE OF GLOBAL SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATION WITH MATERIAL DAMPING

SONG Chang-ming

2006, 27(7):  975-981 .  doi:10.1007/s10483-006-0714-y

Abstract ( 1566 )   PDF (138KB) ( 433 )  

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Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping. Nonexitence theorems of global solutions to the above problem are proved by the energy method, Jensen inequality and the concavity method, respectively. As applications of our main results, three examples are given.

SIMULATION OF SEDIMENTATION OF TWO CIRCULAR PARTICLES WITH COLLISION CONSIDERED IN VERTICAL CHANNEL

WANG Ye-long

2006, 27(7):  983-991 .  doi:10.1007/s10483-006-0715-y

Abstract ( 1276 )   PDF (284KB) ( 399 )  

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D2Q9 model of lattice Boltzmann equation method was used to simulate the
sedimentation of two circular particles in a bounded two dimension channel. The characteristics of the sedimentation shows some periodicity for the Reynolds number Re chosen, 0.1-20. The larger the Reynolds number, the stronger the interaction between the two particles and the larger the transversal displacements. For large Re the two particles leading alternately; for small Re the initially leading particle will keep its leading position and for moderate Re the initially upper particle will get leading position and keep it. The influence of the initially relative position of the two particles on sedimentation is small. The width of the channel won't change the characteristics of the sedimentation as a whole, but will change the period of the sedimentation. The wider the channel, the longer the period will be.

BOUNDARY INTEGRAL FORMULAS FOR ELASTIC PLANE PROBLEM OF EXTERIOR CIRCULAR DOMAIN

DONG Zheng-zhu;LI Shun-cai;YU De-hao

2006, 27(7):  993-1000 .  doi:10.1007/s10483-006-0716-1

Abstract ( 1338 )   PDF (142KB) ( 355 )  

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After the stress function and the normal derivative on the boundary for the plane problem of exterior circular domain are expanded into Laurent series, comparing them with the Laurent series of the complex stress function and making use of some formulas in Fourier series and the convolutions, the boundary integral formula of the stress function is derived further. Then the stress function can be obtained directly by the integration of the stress function and its normal derivative on the boundary. Some examples are given. It shows that the boundary integral formula of the stress function is convenient to be used for solving the elastic plane problem of exterior circular domain.

A LEVEL-VALUE ESTIMATION METHOD FOR SOLVING GLOBAL OPTIMIZATION

WU Dong-hua;YU Wu-yang;TIAN Wei-wen;ZHANG Lian-sheng

2006, 27(7):  1001-1010 .  doi:10.1007/s10483-006-0717-1

Abstract ( 1348 )   PDF (179KB) ( 511 )  

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A level-value estimation method was illustrated for solving the constrained global optimization problem. The equivalence between the root of a modified variance equation and the optimal value of the original optimization problem is shown. An alternate algorithm based on the Newton's method is presented and the convergence of its implementable approach is proved. Preliminary numerical results indicate that the method is effective.