Table of Content

10 March 2008, Volume 29 Issue 3

Previous Issue    Next Issue

Articles

Elasticity solution of clamped-simply supported beams with variable thickness

XU Ye-peng;ZHOU Ding;CHEUNG Y. K.

2008, 29(3):  279-290 .  doi:10.1007/s10483-008-0301-1

Abstract ( 1814 )   PDF (404KB) ( 849 )  

Related Articles | Metrics

This paper studies the stress and displacement distributions of continuously varying thickness beams with one end clamped and the other end simply supported under static loads. By introducing the unit pulse functions and Dirac functions, the clamped edge can be made equivalent to the simply supported one by adding the unknown horizontal reactions. According to the governing equations of the plane stress problem, the general expressions of displacements, which satisfy the governing differential equations and the boundary conditions at two ends of the beam, can be deduced. The unknown coefficients in the general expressions are then determined by using Fourier sinusoidal series expansion along the upper and lower boundaries of the beams and using the condition of zero displacements at the clamped edge. The solution obtained has excellent convergence properties. Comparing the numerical results to those obtained from the commercial software ANSYS, excellent accuracy of the present method is demonstrated.

Thermal buckling of axisymmetrically laminated cylindrically orthotropic shallow spherical shells including transverse shear

ZHU Yong-an, WANG Fan, LIU Ren-huai

2008, 29(3):  291-300 .  doi:10.1007/s10483-008-0302-7

Abstract ( 1725 )   PDF (421KB) ( 592 )  

References | Related Articles | Metrics

null

Generalized constrained multiobjective games in locally FC-uniform spaces

DING Xie-ping, LEE Chin-san, YAO Jen-chih

2008, 29(3):  301-309 .  doi:10.1007/s10483-008-0303-y

Abstract ( 1664 )   PDF (213KB) ( 907 )  

References | Related Articles | Metrics

null

Modified Laguerre spectral and pseudospectral methods for nonlinear partial differential equations in multiple dimensions

XU Cheng-long;GUO Ben-yu

2008, 29(3):  311-331 .  doi:10.1007/s10483-008-0304-x

Abstract ( 1559 )   PDF (503KB) ( 538 )  

Related Articles | Metrics

The Laguerre spectral and pseudospectral methods are investigated for multi-dimensional nonlinear partial differential equations. Some results on the modified Laguerre orthogonal approximation and interpolation are established, which play important roles in the related numerical methods for unbounded domains. As an example, the modified Laguerre spectral and pseudospectral methods are proposed for two-dimensional Logistic equation. The stability and convergence of the suggested schemes are proved. Numerical results demonstrate the high accuracy of these approaches.

Control of flight forces and moments by flapping wings of model bumblebee

WU Jiang-hao, SUN Mao

2008, 29(3):  333-350 .  doi:10.1007/s10483-008-0305-x

Abstract ( 1944 )   PDF (833KB) ( 816 )  

References | Related Articles | Metrics

null

Numerical investigations on dynamic process of muzzle flow

JIANG Xiao-hai, FAN Bao-chun, LI Hong-zhi

2008, 29(3):  351-360 .  doi:10.1007/s10483-008-0306-y

Abstract ( 1851 )   PDF (510KB) ( 1200 )  

References | Related Articles | Metrics

null

Difference inversion model of wave equation

WANG De-ming

2008, 29(3):  361-366 .  doi:10.1007/s10483-008-0307-4

Abstract ( 1567 )   PDF (137KB) ( 596 )  

References | Related Articles | Metrics

null

Vibration of an infinite inhomogeneous transversely isotropic viscoelastic medium with cylindrical hole

D. P. Acharya;Indrajit Roy;P. K. Biswas

2008, 29(3):  367-378 .  doi:10.1007/s10483-008-0308-z

Abstract ( 1447 )   PDF (545KB) ( 801 )  

References | Related Articles | Metrics

null

"Final all possible steps" approach for accelerating stochastic simulation of coupled chemical reactions

ZHOU Wen;PENG Xin-jun;LIU Xiang;YAN Zheng-lou;WANG Yi-fei

2008, 29(3):  379-387 .  doi:10.1007/s10483-008-0309-x

Abstract ( 1064 )   PDF (472KB) ( 358 )  

Related Articles | Metrics

In this paper, we develop a modified accelerated stochastic simulation method for chemically reacting systems, called the "final all possible steps" (FAPS) method, which obtains the reliable statistics of all species in any time during the time course with fewer simulation times. Moreover, the FAPS method can be incorporated into the leap methods, which makes the simulation of larger systems more efficient. Numerical results indicate that the proposed methods can be applied to a wide range of chemically reacting systems with a high-precision level and obtain a significant improvement on efficiency over the existing methods.

Elastic-plastic deformation of sandwich rod on elastic basis

GU Yu

2008, 29(3):  389-398 .  doi:10.1007/s10483-008-0310-x

Abstract ( 1380 )   PDF (396KB) ( 671 )  

References | Related Articles | Metrics

Sandwich composite material possesses advantages of both light weight and high strength. Although the mechanical behaviors of sandwich composite material with the influence of single external environment have been intensively studied, little work has been done in the study of mechanical property, in view of the nonlinear behavior of sandwich composites in the complicated external environments. In this paper, the problem about the bending of the three-layer elastic-plastic rod located on the elastic base, with a compressibly physical nonlinear core, has been studied. The mechanical response of the designed three-layer elements consisting of two bearing layers and a core has been examined. The complicated problem about curving of the three-layer rod located on the elastic base has been solved. The convergence of the proposed method of elastic solutions is examined to convince that the solution is acceptable. The calculated results indicate that the plasticity and physical nonlinearity of materials have a great influence on the deformation of the sandwich rod on the elastic basis.

Darboux transformation of generalized coupled KdV soliton equation and its odd-soliton solutions

LIU Ping

2008, 29(3):  399-407 .  doi:10.1007/s10483-008-0311-y

Abstract ( 1337 )   PDF (308KB) ( 735 )  

References | Related Articles | Metrics

null

Analysis of exercise boundary of American interest rate option

YI Fa-huai, PENG Xin-ling, CHEN Ying-shan

2008, 29(3):  409-420 .  doi:10.1007/s10483-008-0312-y

Abstract ( 1732 )   PDF (322KB) ( 664 )  

References | Related Articles | Metrics

null