Wall boundary conditions for high-order finite-difference schemes in computational aeroacoustics

High-order finite-difference schemes are less dispersive and dissipative but, at the same time, more isotropic than low-order schemes. They are well suited for solving computational acoustics problems. High-order finite-difference equations, however, support extraneous wave solutions which bear no resemblance to the exact solution of the original partial differential equations. These extraneous wave solutions, which invariably degrade the quality of the numerical solutions, are usually generated when solid-wall boundary conditions are imposed. A set of numerical boundary conditions simulating the presence of a solid wall for high-order finite-difference schemes using a minimum number of ghost values is proposed. The effectiveness of the numerical boundary conditions in producing quality solutions is analyzed and demonstrated by comparing the results of direct numerical simulations and exact solutions.This work was supported by the NASA Lewis Research Center Grant NAG 3-1267 and in part by the NASA Langley Research Center Grant NAG 1-1479 and the Florida State University through time granted on its Cray-YMP Supercomputer.     

On the Elastic Field of a Shpherical Inhomogeneity with an Imperfectly Bonded Interface

This study is devoted to the development of a unified and explicit elastic solution to the problem of a spherical inhomogeneity with an imperfectly bonded interface. Both tangential and normal displacement discontinuities at the interface are considered and a linear interfacial condition, which assumes that the tangential and the normal displacement jumps are proportional to the associated tractions, is adopted. The elastic disturbance due to the presence of an imperfectly bonded inhomogeneity is decomposed into two parts: the first is formulated in terms of an equivalent nonuniform eigenstrain distributed over a perfectly bonded spherical inclusion, while the second is formulated in terms of an imaginary Somigliana dislocation field which models the interfacial sliding and normal separation. The exact form of the equivalent nonuniform eigenstrain and the imaginary Somigliana dislocation are fully determined in this paper.     

某大型水电枢纽坝基埋藏型岩溶发育特征及深层承压水研究

作者在现场工程地质勘察、试验基础上, 对我国西南某大型水电枢纽坝基所遇特殊的复杂埋藏型岩溶、承压水问题进行了研究, 弄清了坝基岩溶、承压水形成条件及发育特性, 对坝址选择及工程处理的决策具有重要意义。     

Fracture of a rectangular piezoelectromagnetic body

The singular stress, electric fields and magnetic fields in a rectangular piezoelectromagnetic body containing a center Griffith crack under longitudinal shear are obtained. Fourier transforms and Fourier sine series are used to reduce the mixed boundary value problems of the crack, which is assumed to be impermeable, to dual integral equations. The solution of the dual integral equations is then expressed in terms of Fredholm integral equations of the second kind. Expressions for stresses, electric displacements and magnetic inductions in the vicinity of the crack tip are derived. Also obtained are the field intensity factors and the energy release rates. Numerical results obtained show that the geometry of the rectangular body have significant influence on the field intensity factors and the energy release rates.     

Existence of Positive Solutions for the Singular Equation (ϕ p (y′))′ + g(t,y, y′) = 0

Two theorems concerning the existence of positive solutions for the singular equation are presented. The results are obtained by using the nonlinear Leray-Schauder alternative and the lower-upper solution method.     

金属丝网——油液介质耦合减振器抗冲击动态力学特性研究

基于金属丝网－油液介质耦合减振器原理样机的抗冲击动态力学特性进行研究，样机的多参数匹配冲击试验研究表明该减振器具有强非线性动态特征，并能实现抗大冲击；在此基础上结合流体理论和库伦摩擦理论建立了原理样机非线性冲击动态特性模型，研究减振器抗冲击力学特性的设计可控性，该建模方法直接引入结构参数，为直接设计具体的器件建立了理论基础。     

A STUDY ON SHIP VIBRATION USING FINITE ELEMENT METHOD

when the beam theory was used to calculate ship hull vibration,greater discrepancies were found between theoretical cal-culations and actual measurements especially at higher modes.Thusthe beam model cannot be considered as a practical one for higher-mode calculations.This paper presents the application of two-dimensional finite element model for the calculation of ship ver-tical vibration.Using the multi-element structural dynamic a-nalysis program DDJ(DL)developed by ourselves,the hull vibra-tion analysis of two ships(vessel A and vessel B)was carriedout on the Model-709 Computer made in the People’s Republic ofChina.The results of the calculation,when compared with actualmeasurements.show that the two-dimensional model is much moreefficient than the traditional beam model.The agreement be-tween the calculations and measurements has been improved greatly,and this discrepancy at the4th·and5th-modes has decreased towithin5%as compared to that of more than20%in the traditionalmodel.Furthermore.the mode     

NUMERICAL SIMULATION OF INSECT FLIGHT

In the non-inertial coordinates attached to the model wing, the two-dimensional unsteady flow field triggered by the motion of the model wing, similar to the flapping of the insect wings, was numerically simulated. One of the advantages of our method is that it has avoided the difficulty related to the moving-boundary problem. Another advantage is that the model has three degrees of freedom and can be used to simulate arbitrary motions of a two-dimensional wing in plane only if the motion is known. Such flexibility allows us to study how insects control their flying. Our results show that there are two parameters that are possibly utilized by insects to control their flight: the phase difference between the wing translation and rotation, and the lateral amplitude of flapping along the direction perpendicular to the average flapping plane.     

Studies on Stress Transference Mechanism of Steel Fibre Reinforced Concrete

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The Hamiltonian Structures of 3D ODE with Time-Independent Invariants

ＴＨＥＨＡＭＩＬＴＯＮＩＡＮＳＴＢＵＣＴＵＲＥＳＯＦ３ＤＯＤＥＷＩＴＨＴＩＭＥ－ＩＮＤＥＰＥＮＤＥＮＴＩＮＶＡＲＩＡＮＴＳＧｕｏＺｈｏｎｇ－ｈｅｎｇ（郭仲衡）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＰｅｋｉｎｇＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊ...