应用数学和力学

2009 Vol. 30, No. 2

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Non-Linear Free Vibration Analysis of Piezoelastic Laminated Plates With Interfacial Damage

FU Yi-ming, LI Sheng, JIANG Ye-jie

2009, 30(2): 127-141.

Abstract(2851) PDF(586)

Abstract:
A nonlinear model for piezoelastic laminated plates containing the damage effect of the intra-layers and inter-laminar interface is presented, and the discontinuity of displacement and electric potential on the interfaces were depicted by three shape functions. By using the Hamilton variation princi...

Convergence Theorem of Common Fixed Points for Lipschitzian Pseudocontraction Semigroups in Banach Spaces

ZHANG Shi-sheng

2009, 30(2): 142-148.

Abstract(2838) PDF(543)

Abstract:
Some weak convergence theorems of the impliaty iteration precess for a Iapschitaan pseu-docontractive semi-groups in general Banach spaces were established, which extend and improve the corcespondin A new results of Zhou, Chen, et al, Xu, et al and Osilike.

Large Eddy Simulation of Turbulent Statistical and Transport Properties in Stably Stratified Flows

QIU Xiang, HUANG Yong-xiang, LU Zhi-ming, LIU Yu-lu

2009, 30(2): 149-159.

Abstract(3246) PDF(1155)

Abstract:
Three dimensional large eddy simulation (LES) was performed in the investigation of stably stratified turbulence with a sharp thermal interface. Main results are focused on the turbulent characteristic scale, statistical properties, transport properties, and temporal and spatial evolution of the sca...

Mechanism of Unsteady Aerodynamic Heating With a Sudden Change in Surface Temperature

CHEN Hao, BAO Lin

2009, 30(2): 160-170.

Abstract(3607) PDF(804)

Abstract:
The chazacteiistics and mechanism of the unsteady aerodynamic heating of a transient hypersonic borurdary layer caused by sudden change in surface temperature was studied, the complete time history of wall heat flax was presented by both analytical and numerical approaches. With analytical methods, ...

High Accurate Non-Equidlstant Method for Singular Perturbation Reaction-Diffusion Problem

CAI Xin, CAI Dan-lin, WU Rui-qian, XIE Kang-he

2009, 30(2): 171-178.

Abstract(2940) PDF(637)

Abstract:
Singular pertubation reaction-diffusion problem with Dirichlet boundary condition is considered. this is a multi-scale problem. The presence of small parameter leads to bomdary Dyer phenomena on both sides of region. Non-equidistant finite difference method wag presented according to the property of...

Explicit Formulations and Performance Study of LSFD Method on Cartesian Mesh

CAI Qing-dong

2009, 30(2): 179-191.

Abstract(2784) PDF(544)

Abstract:
The performance of the ISFD (least square-based flute difference) method is compared with the conventional FD(fiute difference) schemes. For the approximation of the first and second order derivatives by the conventional central difference schemes, 9-point stencils for the 2D case and 27-point stenc...

Nonconforming Stabilized Combined Finite Element Method for the Reissner-Mindlin Plate

FENG Min-fu, YANG Yan, ZHOU Tian-xiao

2009, 30(2): 192-202.

Abstract(3053) PDF(883)

Abstract:
Based on the combination of two variational principles, a nonoonfornung stabilized futile element method was presented for the Reissner-Mindlin plates.

Mathemtical Model and Numerical Method for Spontaneous Potential Log in Heterogeneous Formations

PAN Ke-jia, TAN Yong-ji, HU Hong-ling

2009, 30(2): 203-212.

Abstract(3002) PDF(683)

Abstract:
A new spontaneous potential log model for the case when formation resistivity is not piecewise constant was introduced. The spontaneous potential satisfies an elliptic boundary value problem with jump conditions on interfaces. It was proved that the elliptic interface problem has a unique weak solut...

Magneto-Thermo-Elastic Waves in an Infinite Perfectly Conducting Elastic Solid With Energy Dissipation

Payel Das, M. Kanoria

2009, 30(2): 213-220.

Abstract(3144) PDF(491)

Abstract:
The generalized theory of thermo-elastiaty, r.e., Green and Naghdi (G-N)Ⅲ theory, with energy dissipation(TEWED) is employed in the study of time-harmonic plane wave prpagation in an unbounded, perfectly electxiically conducting elastic medium subject to primary uniform magnetic field. A more genera...

Robust H_∞ Filtering for Discrete-Time Impulsive Systems With Uncertainty

PAN Sheng-tao, SUN Ji-tao

2009, 30(2): 221-228.

Abstract(3071) PDF(595)

Abstract:
Robust filter design for linear discrete-time impulsive systems with uncertainty under H_∞ performance is invested. Fust,an impulsive linear filter and robust H_∞ filtering problem were introduced for a discrete-time impulsive systems. Then, sufficient condition of asymptotical stability and H_∞ perfor...

Parametric Studies on the Relationships of Flutter Derivatives of Slender Bridge(Ⅰ)

XU Xu

2009, 30(2): 229-237.

Abstract(2759) PDF(558)

Abstract:
Based on the semi-analytical flutter derivatives of flexible structure provided by authors(XU Xu, CAO Zhi-yuan. Linear and nonlinear aerodynamic theory of interaction between flexible long structivre and wind, Applied Mathematical and Mechanics, 22(12):1299-1308.),the relationships of the flutter de...

Algorithm for the Inverse of a General Tridiagonai Matrix

RAN Rui-sheng, HUANG Ting-zhu, LIU Xing-ping, GU Tong-xiang

2009, 30(2): 238-244.

Abstract(5333) PDF(2430)

Abstract:
An algorithm for the inverse of a general tridiagonal matrix is presented. First, for the tridiagonal matzix having Doolittle factorization, an algorithm for the inverse was established. Then the algorithm was generalized to a general tridiagonal matrix without aqy restrictive condition. Some compar...

Approximation for the First Passage Probability of Systems Under Nonstationary Random Excitation

HE Jun

2009, 30(2): 245-252.

Abstract(2926) PDF(675)

Abstract:
An approximate method is presented for obtaining analytical solutions for the conditional fast passage piubability of systems under modulated white noise excitation, the method is based on VanMarcke's approximation, however, because the normalization of the response was introduced, the expected deca...