应用数学和力学

2008 Vol. 29, No. 3

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Elasticity Solution of Clamped-Simply Supported Beams With Variable Thickness

XU Ye-peng, ZHOU Ding, Y. K. Cheung

2008, 29(3): 253-262.

Abstract(3950) PDF(866)

Abstract:
The stress and displacement distributions of continuously varying thickness beams with one end clamped and the other end simply supported under static loads are studied. By introducing the unit pulse functions and Dirac functions, the clamped edge can be made equivalent to the simply supported one b...

Thermal Buckling of Axisymmetrically Laminated Cylindrically Orthotropic Shallow Spherical Shells Including Transverse Shear

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

2008, 29(3): 263-271.

Abstract(3148) PDF(870)

Abstract:
The nonlinear thermal buckling of symmetrically laminated cylindrically orthotropic shallow spherical shell under temperature field and uniform pressure including transverse shear is studied by using the modified iteration method. And the analytic formulas for determining the critical buckling loads...

Generalized Constrained Multiobjective Games in Locally FC-Uniform Spaces

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

2008, 29(3): 272-280.

Abstract(2877) PDF(791)

Abstract:
A new class of generalized constrained multiobjective games is introduced and studied in locally FC-uniform spaces without convexity structure where the number of players may be finite or infinite and all payoff functions get their values in an infinite-dimensional space. By using a Himmelberg type ...

Modified Laguerre Spectral and Pseudospectral Methods for Nonlinear Partial Differential Equations in Multiple Dimensions

XU Cheng-long, GUO Ben-yu

2008, 29(3): 281-300.

Abstract(3184) PDF(655)

Abstract:
The Laguerre spectral and pseudospectral methods for multiple-dimensional nonlinear partial differential equations are investigated. Some results on the modified Laguerre orthogonal approximation and interpolation were established, which play important roles in the related numerical methods for unbo...

Control of Flight Forces and Moments by the Flapping Wings of a Model Bumble-bee

WU Jiang-hao, SUN Mao

2008, 29(3): 301-315.

Abstract(3132) PDF(645)

Abstract:
The control of flight forces and moments by the flapping wings of a model bumble-bee is studied using the method of computational fluid dynamics. Hovering flight was taken as the reference flight: wing kinematic parameters are varied with respect to their values at hovering flight. Moments about (an...

Numerical Investigations on the Dynamic Process of the Muzzle Flow

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

2008, 29(3): 316-324.

Abstract(2487) PDF(734)

Abstract:
The integrative process of the quiescent projectile accelerated by high-pressure gas to shoot out at a supersonic speed and fly out of the range of precursor flow field was simulated numerically. The calculation method was based on ALE equations and second-order precision Roe method adopting chimera...

Difference Inversion Model of a Wave Equation

WANG De-ming

2008, 29(3): 325-330.

Abstract(3065) PDF(636)

Abstract:
For calculating the coefficient function of a wave equation, a numerical iterative model was derived from difference method and a perturbation assumption. The method has solved the disaccordant problem of numerical precision between direct problem model and inverse problem model, and its serial prob...

Vibration of an Infinite Inhomogeneous Trasversely Isotropic Viscoelastic Medium With a Cylindrical Hole

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

2008, 29(3): 331-341.

Abstract(3127) PDF(481)

Abstract:
The influences of higher order viscoela sticity and the inhomo geneities of the transversely isotropic elastic parameters on the disturbances in an infinite medium, caused by the presence of a transient radial force or twist on the surface of a cylindrical hole with circular cross section are invest...

“Final All Possible Steps” Approach for Accelerating Stochastic Simulation of Coupled Chemical Reactions

ZHUO Wen, PENG Xin-jun, LIU Xiang, YAN Zheng-lou, WANG Yi-fei

2008, 29(3): 342-350.

Abstract(2490) PDF(726)

Abstract:
A modified accelerated stochastic simulation method for chemically reacting systems, called the "final all possible steps" (FAPS) method is developed. The reliable statistics of all species were obtained in any time during the time course with fewer simulation times. Moreover, the FAPS method can be...

Elastic-Plastic Deformation of Sandwich Rod on the Elastic Basis

GU Yu

2008, 29(3): 351-360.

Abstract(3039) PDF(559)

Abstract:
The problem about bending of the three-layer elastic-plastic rod located on the elastic base, with a compressibly physical nonlinear core, was studied. The mechanical response of the designed three-layer elements consisting of two bearing layers and a core was examined. The complicated problem about...

Darboux Transformation of Generalized Coupled KdV Soliton Equation and Its Odd-Soliton Solutions

LIU Ping

2008, 29(3): 361-368.

Abstract(3234) PDF(707)

Abstract:
Based on the resulting Lax pairs of generalized coupled KdV soliton equation, a new Darboux transformation with multi-parameters for generalized coupled KdV soliton equation is derived with the help of a gauge transformation of the spectral problem. By using Darboux transformation, the generalized o...

Analysis of the Exercise Boundary of an American Interest Rate Option

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

2008, 29(3): 369-378.

Abstract(2852) PDF(603)

Abstract:
By applying the variational inequality technique, the behavior of the exercise boundary of the american-style interest rate option is analyzed under the assumption that the interest rates obey a mean-reverting random walk as given by the Vasicek model. The monotonicity, boundedness and C^∞-smoothness...