Table of Content

03 October 2007, Volume 28 Issue 10

Previous Issue    Next Issue

Articles

Stable response of low-gravity liquid non-linear sloshing in a circle cylindrical tank

HE Yuan-jun;MA Xing-rui;WANG Ben-li

2007, 28(10):  1273-1285 .  doi:10.1007/s10483-007-1001-z

Abstract ( 1605 )   PDF (367KB) ( 668 )  

Related Articles | Metrics

Under pitch excitation, the sloshing of liquid in circular cylindrical tank includes planar motion, rotary motion and rotary motion inside planar motion. The boundaries between stable motion and unstable motion depend on the radius of the tank, the liquid height, the gravitational intension, the surface tensor and the sloshing damping. In this article, the differential equations of nonlinear sloshing are built first. And by variational principle, the Lagrange function of liquid pressure is constructed in volume intergration form. Then the velocity potential function is expanded in series by wave height function at the free surface. The nonlinear equations with kinematics and dynamics free surface boundary conditions through variation are derived. At last, these equations are solved by multiple-scales method. The influence of Bond number on the global stable response of nonlinear liquid sloshing in circular cylinder tank is analyzed in detail. The result indicates that variation of amplitude frequency response characteristics of the system with Bond, jump, lag and other nonlinear phenomena of liquid sloshing are investigated.

Strong convergence theorems for nonexpansive semi-groups in Banach spaces

ZHANG Shi-sheng;YANG Li;LIU Jing-ai

2007, 28(10):  1287-1297 .  doi:10.1007/s10483-007-1002-x

Abstract ( 1440 )   PDF (202KB) ( 591 )  

Related Articles | Metrics

Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established. Results presented in the paper not only extend and improve the corresponding results of Shioji-Takahashi, Suzuki, Xu and Aleyner-Reich, but also give a partially affirmative answer to the open questions raised by Suzuki and Xu.

Dynamic equations for curved submerged floating tunnel

DONG Man-sheng;GE Fei;ZHANG Shuang-yin;HONG You-shi

2007, 28(10):  1299-1308 .  doi:10.1007/s10483-007-1003-z

Abstract ( 1393 )   PDF (256KB) ( 853 )  

References | Related Articles | Metrics

In virtue of reference Cartesian coordinates, geometrical relations of spatial curved structure are presented in orthogonal curvilinear coordinates . Dynamic equations for helical girder are derived by Hamilton principle . These equations indicate that four generalized displacements are coupled with each other . When spatial structure degenerates into planar curvilinear structure, two generalized displacements in two perpendicular planes are coupled with each other . Dynamic equations for arbitrary curvilinear structure may be obtained by the method used in this paper .

Reflection for three-dimensional plane waves in triclinic crystalline medium

Amares Chattopadhyay

2007, 28(10):  1309-1318 .  doi:10.1007/s10483-007-1004-y

Abstract ( 1262 )   PDF (252KB) ( 830 )  

References | Related Articles | Metrics

null

Dynamic stability of viscoelastic circular cylindrical shells taking into account shear deformation and rotatory inertia

Bakhtiyor Eshmatov

2007, 28(10):  1319-1330 .  doi:10.1007/s10483-007-1005-y

Abstract ( 1713 )   PDF (388KB) ( 900 )  

References | Related Articles | Metrics

null

Diffusion approximations for multiclass queueing networks under preemptive priority service discipline

DAI Wan-yang

2007, 28(10):  1331-1342 .  doi:10.1007/s10483-007-1006-x

Abstract ( 1429 )   PDF (237KB) ( 549 )  

References | Related Articles | Metrics

null

Singularly perturbed solution for weakly nonlinear equations with two parameters

CHEN Li-hua;MO Jia-qi

2007, 28(10):  1343-1348 .  doi:10.1007/s10483-007-1007-y

Abstract ( 1783 )   PDF (144KB) ( 525 )  

Related Articles | Metrics

A class of singularly perturbed boundary value problems of weakly nonlinear equation for fourth order on the interval [a, b] with two parameters is considered. Under suitable conditions, firstly, the reduced solution and formal outer solution are constructed using the expansion method of power series. Secondly, using the transformation of stretched variable, the first boundary layer corrective term near x=a is constructed which possesses exponential attenuation behavior. Then, using the stronger transformation of stretched variable, the second boundary layer corrective term near x=a is constructed, which also possesses exponential attenuation behavior. The thickness of second boundary layer is smaller than the first one and forms a cover layer near x=a. Finally, using the theory of differential inequalities, the existence, uniform validity in the whole interval [a, b] and asymptotic behavior of solution for the original boundary value problem are proved. Satisfying results are obtained.

Dynamic analysis of a rotating rigid-flexible coupled smart structure with large deformations

HUANG Yong-an;DENG Zi-chen;YAO Lin-xiao

2007, 28(10):  1349-1360 .  doi:10.1007/s10483-007-1008-z

Abstract ( 1300 )   PDF (396KB) ( 746 )  

Related Articles | Metrics

Based on Hamilton's principle, a new kind of fully coupled nonlinear dynamic model for a rotating rigid-flexible smart structure with a tip mass is proposed. The geometrically nonlinear effects of the axial, transverse displacement and rotation angle are considered by means of the first-order approximation coupling (FOAC) model theory, in which large deformations and the centrifugal stiffening effects are considered. Three kinds of systems are established respectively, which are a structure without piezoelectric layer, with piezoelectric layer in open circuit and closed circuit. Several simulations based on simplified models are presented to show the differences in characteristics between structures with and without the tip mass, between smart beams in closed and open circuit, and between the centrifugal effects in high speed rotating state or not. The last simulation calculates the dynamic response of the structure subjected to external electrical loading.

L-leap: accelerating the stochastic simulation of chemically reacting systems

PENG Xin-jun;WANG Yi-fei

2007, 28(10):  1361-1371 .  doi:10.1007/s10483-007-1009-y

Abstract ( 1567 )   PDF (366KB) ( 718 )  

References | Related Articles | Metrics

Presented here is an L-leap method for accelerating stochastic simulation of well-stirred chemically reacting systems, in which the number of reactions occurring in a reaction channel with the largest propensity function is calculated from the leap condition and the number of reactions occurring in the other reaction channels are generated by using binomial random variables during a leap. The L-leap method can better satisfy the leap condition. Numerical simulation results indicate that the L-leap method can obtain better performance than established methods.

Infinitely many solutions of p-Laplacian equations with limit subcritical growth

GENG Di

2007, 28(10):  1373-1382 .  doi:10.1007/s10483-007-1010-x

Abstract ( 1421 )   PDF (199KB) ( 487 )  

References | Related Articles | Metrics

We discussed a class of p-Laplacian boundary problems on a bounded smooth domain, the nonlinearity is odd symmetric and limit subcritical growing at infinite. A sequence of critical values of the variational functional was constructed after the generalized Palais-Smale condition was verified. We obtain that the problem possesses infinitely many solutions and corresponding energy levels of the functional pass to positive infinite. The result is a generalization of a similar problem in the case of subcritical.

Non-axisymmetrical vibration of elastic circular plate on layered transversely isotropic saturated ground

WANG Xiao-gang

2007, 28(10):  1383-1396 .  doi:10.1007/s10483-007-1011-3

Abstract ( 1279 )   PDF (388KB) ( 583 )  

References | Related Articles | Metrics

null

New matrix method for response analysis of circumferentially stiffened non-circular cylindrical shells under harmonic pressure

ZOU Shi-zhi;HUANG Yu-ying;HE Zeng;XIANG Yu

2007, 28(10):  1397-1405 .  doi:10.1007/s10483-007-1012-2

Abstract ( 1322 )   PDF (271KB) ( 527 )  

References | Related Articles | Metrics

null

A new smoothing technique for mathematical programs with equilibrium constraints

ZHU Zhi-bin;LUO Zhi-jun;ZENG Ji-wen

2007, 28(10):  1407-1414 .  doi:10.1007/s10483-007-1013-z

Abstract ( 1538 )   PDF (176KB) ( 564 )  

References | Related Articles | Metrics

null