• 主题
高级搜索  >
历史搜索 清空历史
您现在的位置：首页> 中文期刊>其他>应用数学和力学（英文版）

应用数学和力学（英文版）

应用数学和力学（英文版）

CSCD

Applied Mathematics and Mechanics
1980年5月由我国著名科学家、上海大学校长钱伟长院士创办。创刊至2002年底，钱伟长院士一直亲自担任主编。2003年改由我校副校长、博导周哲玮教授担任主编。钱伟长院士亲自制定办刊的宗旨是：发表力学、力学中的数学方法和近代力学密切相关的应用数学的创造性学术性论文。所谓创造性学术论文是指具有新思想、新观点、新方法的原创性学术论文。我刊对应的中文版由重庆交通大学主办并出版。英文版由上海大学主办，上海大学出版社出版。国外由德国Springer出版社发行。我刊的读者对象主要是从事与力学和应用数学有关的科研人员、工程技术人员和大专院校师生。被收录的数据库《科学引文索引（扩大版）》（SCIE）、《工程索引》（EI Compendex）、《世界译文索引》、美国《数学评论（MR）》、《应用力学评论（AMR）》、《力学》、《宇航文摘》、《当代数学》、俄罗斯《文摘杂志》力学、数学专辑，德国《数学文摘》及中国《中国力学文摘》、《中国数学文摘》、《中国物理文摘》、中国科技期刊光盘版《中国期刊网》、中国台湾《中文电子期刊服务数据库（CEPS）》、中国西南信息研究中心《中文科技期刊数据库》、中国信息研究所《万方数据库——数字化期刊群》等21种国内外权威文摘刊物及其数据库均收录我刊全文、题录和文摘。《应用数学和力学》被美国力学科学院评为17种国际力学刊物之一。
更多
  • 发文量：3769
  • 被引量：328
  • H指数：1
  • 开始收录时间：1984(3)
  • CNKI综合因子：0.473
  • 维普期刊影响因子： 0.19
  • 万方期刊影响因子：0.37
  • 创刊时间：1980
  • 国内刊号/CN：31-1650/O1
    国际刊号/ISSN：0253-4827
  • 发行周期：月刊
    邮发代号：
  • 主管单位：上海市教育委员会
    主办单位：上海大学
应用数学和力学（英文版）-联系信息
  • 主编：郭新明
  • 电话：021-66135601 66135219
  • 邮箱：amm@department.shu.edu.cn
  • 地址：上海市上大路99号上海大学122信箱
  • 邮编：200444
应用数学和力学（英文版）-获奖情况
  • • 卓越计划期刊
  • • 上海市优秀科技期刊一等奖
  • • 中国期刊方阵“双效”期刊
  • 收录汇总
  • 刊内文献检索
  • 投稿信息

刊期浏览

应用数学和力学（英文版） >2021年第12期

学科

年度

全选（0）
排序：
共4384条结果
  • 摘要：A bimorph piezoelectric beam with periodically variable cross-sections is used for the vibration energy harvesting.The effects of two geometrical parameters on the first band gap of this periodic beam are investigated by the generalized differential quadrature rule(GDQR) method.The GDQR method is also used to calculate the forced vibration response of the beam and voltage of each piezoelectric layer when the beam is subject to a sinusoidal base excitation.Results obtained from the analytical method are compared with those obtained from the finite element simulation with ANSYS,and good agreement is found.The voltage output of this periodic beam over its first band gap is calculated and compared with the voltage output of the uniform piezoelectric beam.It is concluded that this periodic beam has three advantages over the uniform piezoelectric beam,i.e.,generating more voltage outputs over a wide frequency range,absorbing vibration,and being less weight.
  • 摘要：The direct numerical simulation(DNS) of heat transfer in a fully developed non-isothermal particle-laden turbulent channel flow is performed.The focus of this paper is on the modulation of the particles on turbulent thermal statistics in the particle-laden flow with three Prandtl numbers(P r = 0.71,1.5,and 3.0) and a shear Reynolds number(Reτ = 180).Some typical thermal statistics,including normalized mean temperature and their fluctuations,turbulent heat fluxes,Nusselt number and so on,are analyzed.The results show that the particles have less effects on turbulent thermal fields with the increase of Prandtl number.Two reasons can explain this.First,the correlation between fluid thermal field and velocity field decreases as the Prandtl number increases,and the modulation of turbulent velocity field induced by the particles has less influence on the turbulent thermal field.Second,the heat exchange between turbulence and particles decreases for the particle-laden flow with the larger Prandtl number,and the thermal feedback of the particles to turbulence becomes weak.
  • 摘要：This paper develops a new approach to construct variational integrators.A simplified unconventional Hamilton's variational principle corresponding to initial value problems is proposed,which is convenient for applications.The displacement and momentum are approximated with the same Lagrange interpolation.After the numerical integration and variational operation,the original problems are expressed as algebraic equations with the displacement and momentum at the interpolation points as unknown variables.Some particular variational integrators are derived.An optimal scheme of choosing initial values for the Newton-Raphson method is presented for the nonlinear dynamic system.In addition,specific examples show that the proposed integrators are symplectic when the interpolation point coincides with the numerical integration point,and both are Gaussian quadrature points.Meanwhile,compared with the same order symplectic Runge-Kutta methods,although the accuracy of the two methods is almost the same,the proposed integrators are much simpler and less computationally expensive.
  • 摘要：This paper studies a low order mixed finite element method(FEM) for nonstationary incompressible Navier-Stokes equations.The velocity and pressure are approximated by the nonconforming constrained Q^(rot)_1 element and the piecewise constant,respectively.The superconvergent error estimates of the velocity in the broken H^1-norm and the pressure in the L^2-norm are obtained respectively when the exact solutions are reasonably smooth.A numerical experiment is carried out to confirm the theoretical results.
  • 摘要：The thermal radiation energy is the clean energy with a much lower environmental impact than the conventional energy.The objective of the present work is to investigate theoretically the effect of copper nanoparticles and carbon nanotubes(CNTs)in the presence of base fluid(water) with the variable stream condition due to the thermal radiation energy.Single-walled carbon nanotubes(SWCNTs) in the presence of base fluid flow over a porous wedge play a significant role compared to those of copper nanoparticles on absorbing the incident solar radiation and transiting it to the working fluid by convection.
  • 摘要：Projected Runge-Kutta(R-K) methods for constrained Hamiltonian systems are proposed.Dynamic equations of the systems,which are index-3 differential-algebraic equations(DAEs) in the Heisenberg form,are established under the framework of Lagrangian multipliers.R-K methods combined with the technique of projections are then used to solve the DAEs.The basic idea of projections is to eliminate the constraint violations at the position,velocity,and acceleration levels,and to preserve the total energy of constrained Hamiltonian systems by correcting variables of the position,velocity,acceleration,and energy.Numerical results confirm the validity and show the high precision of the proposed method in preserving three levels of constraints and total energy compared with results reported in the literature.
  • 摘要：It is widely accepted that a robust and efficient method to compute the linear spatial amplified rate ought to be developed in three-dimensional(3D) boundary layers to predict the transition with the e^N method,especially when the boundary layer varies significantly in the spanwise direction.The 3D-linear parabolized stability equation(3DLPSE) approach,a 3D extension of the two-dimensional LPSE(2D-LPSE),is developed with a plane-marching procedure for investigating the instability of a 3D boundary layer with a significant spanwise variation.The method is suitable for a full Mach number region,and is validated by computing the unstable modes in 2D and 3D boundary layers,in both global and local instability problems.The predictions are in better agreement with the ones of the direct numerical simulation(DNS) rather than a 2D-eigenvalue problem(EVP) procedure.These results suggest that the plane-marching 3D-LPSE approach is a robust,efficient,and accurate choice for the local and global instability analysis in 2D and 3D boundary layers for all free-stream Mach numbers.
  • 摘要：Based on the theories of finite deformation elasticity,electromechanical responses and instability of an incompressible electro-active polymer(EAP) cylindrical shell,which is subjected to an internal pressure and a static electric field,are studied.Deformation curves and distribution of stresses are obtained.It is found that an internal pressure together with an electric field may cause the unstable non-monotonic deformation of the shell.It is also shown that a critical thickness for the shell exists,and the shell may undergo the unstable deformation if its thickness is less than this critical value.In addition,the effects of the electric field,axial stretch,thickness,and internal pressure on the instability of the shell are discussed.
  • 摘要：The buckling and large deflection behaviors of axis-symmetric radially functionally graded(RFG) ring-stiffened circular plates are investigated by the dynamic relaxation(DR) method combined with the finite difference discretization technique. The material properties of the constituent components of the RFG plate are assumed to vary continuously according to the Mori-Tanaka distribution along the radial direction. The nonlinear governing equations are obtained in the incremental form based on the firstorder shear deformation plate theory(FSDT) and the von Karman relations for large deflection. In the buckling analysis, an external in-plane load is applied to the plate incrementally so that, in each load-step, the incremental form of the governing equations can be solved by a numerical code prepared based on the DR method. After converging the DR code in the first increment, the latter load-step is added to the previous one, and the program is repeated again. The critical buckling load is determined from the compressive load-displacement curve obtained by solving the incremental form of the governing equations. Based on the present incremental form of formulation, a bending analysis can also be conducted if the whole load is applied simultaneously. Finally, a detailed parametric study is carried out to investigate the influences of various boundary conditions, grading indices, thickness-to-radius ratios, stiffener's positions and depths on the critical buckling load, and displacements and stresses resulted from the bending analysis. It is observed that the effect of the stiffener on the results is much greater in the functionally graded plate with higher material grading indices. The results also reveal that, by increasing the depth of the stiffer, the values of ascending the critical buckling load are approximately identical for both simply supported and clamped boundary conditions.
  • 摘要：The transient growth due to non-normality is investigated for the PoiseuilleRayleigh-Bénard problem of binary fluids with the Soret effect. For negative separation factors such as ψ =-0.1, it is found that a large transient growth can be obtained by the non-normal interaction of the two least-stable-modes, i.e., the upstream and downstream modes, which determine the linear critical boundary curves for small Reynolds numbers.The transient growth is so strong that the optimal energy amplification factor G(t) is up to 10~2~10~3. While for positive separation factors such as ψ = 0.1, the transient growth is weak with the order O(1) of the amplification factor, which can even be computed by the least-stable-mode. However, for both cases, the least-stable-mode can govern the long-term behavior of the amplification factor for large time. The results also show that large Reynolds numbers have stabilization effects for the maximum amplification within moderate wave number regions. Meanwhile, much small negative or large positive separation factors and large Rayleigh numbers can enlarge the maximum transient growth of the pure streamwise disturbance with the wavenumber α = 3.14. Moreover, the initial and evolutionary two-dimensional spatial patterns of the large transient growth for the pure streamwise disturbance are exhibited with a plot of the velocity vector, spanwise vorticity, temperature, and concentration field. The initial three-layer cell vorticity structure is revealed. When the amplification factor reaches the maximum Gmax, it develops into one cell structure with large amplification for the vorticity strength.
  • 摘要：A global interpolating meshless shape function based on the generalized moving least-square(GMLS) is formulated by the transformation technique. Both the shape function and its derivatives meet the Kronecker delta function property. With the interpolating GMLS(IGMLS) shape function, an improved element-free Galerkin(EFG)method is proposed for the structural dynamic analysis. Compared with the conventional EFG method, the obvious advantage of the proposed method is that the essential boundary conditions including both displacements and derivatives can be imposed by the straightforward way. Meanwhile, it can greatly improve the ill-condition feature of the standard GMLS approximation, and provide good accuracy at low cost. The dynamic analyses of the Euler beam and Kirchhoff plate are performed to demonstrate the feasibility and effectiveness of the improved method. The comparison between the numerical results of the conventional method and the improved method shows that the proposed method has better stability, higher accuracy, and less time consumption.
  • 摘要：1 Legal requirements The author(s)guarantee(s)that the manuscript will not be published elsewhere in any language without the consent of the copyright holders,that the rights of third parties will not be violated,and that the publisher will not be held legally responsible should there be any claims for compensation.Authors wishing to include figures or text passages that have already been published elsewhere
  • 摘要：The fracture behaviors near the mode Ⅱ interface crack tip for orthotropic bimaterial are studied. The non-oscillatory field, where the stress singularity exponent is a real number, is discussed by the complex function method and the undetermined coefficient method. From the research fracture problems, the stress functions with ten undetermined coefficients and an unknown singularity exponent are introduced when?_1> 0 and ?_2> 0. By the existence theorem of non-trival solutions for the system of eight homogeneous linear equations, the characteristic equation, the stress singularity exponent, and the discriminating condition of the non-oscillatory singularity are found.By the uniqueness theorem of the solutions for the system of twelve non-homogeneous linear equations with ten unknowns, the ten undermined coefficients in the stress functions are uniquely determined. The definitions of the stress intensity factors are given with the help of one-sided limit, and their theoretical formulae are deduced. The analytic solutions of the stresses near the mode Ⅱ interface crack tip are derived. The classical results for orthotropic material are obtained.
  • 摘要：The instability of the Mack mode is destabilized by wall-cooling in a high speed boundary layer. The aim of this paper is to study the mechanism of the wallcooling effect on the Mack mode instability by numerical methods. It is shown that the wall-cooling can destabilize the Mack mode instability, similar to the previous conclusions with the exception that the Mack mode instability can be stabilized by wall-cooling if the wall temperature is extremely low. The reversed wall temperature is related to a freestream condition. If the Mach number increases to a large enough value, e.g., about7, the reversed wall temperature will tend to be zero. It seems that the Mack mode instability is determined by the region between the boundary layer edge and the critical layer. When the wall temperature decreases, this region becomes wider, and the boundary layer becomes more unstable. Additionally, a relative supersonic unstable mode can be observed when the velocity of the critical layer is less than 1- 1/M a or is cancelled by the wall-cooling effect. These results provide a deeper understanding on the wall-cooling effect in high speed boundary layers.
  • 摘要：A variety of border collision bifurcations in a three-dimensional(3D) piecewise smooth chaotic electrical circuit are investigated. The existence and stability of the equilibrium points are analyzed. It is found that there are two kinds of non-smooth fold bifurcations. The existence of periodic orbits is also proved to show the occurrence of non-smooth Hopf bifurcations. As a composite of non-smooth fold and Hopf bifurcations,the multiple crossing bifurcation is studied by the generalized Jacobian matrix. Some interesting phenomena which cannot occur in smooth bifurcations are also considered.
  • 摘要：The internal stress field of an inhomogeneous or homogeneous inclusion in an infinite elastic plane under uniform stress-free eigenstrains is studied. The study is restricted to the inclusion shapes defined by the polynomial mapping functions mapping the exterior of the inclusion onto the exterior of a unit circle. The inclusion shapes, giving a polynomial internal stress field, are determined for three types of inclusions, i.e., an inhomogeneous inclusion with an elastic modulus different from the surrounding matrix,an inhomogeneous inclusion with the same shear modulus but a different Poisson's ratio from the surrounding matrix, and a homogeneous inclusion with the same elastic modulus as the surrounding matrix. Examples are presented, and several specific conclusions are achieved for the relation between the degree of the polynomial internal stress field and the degree of the mapping function defining the inclusion shape.
  • 摘要：The hydrate formation or dissociation in deep subsea flow lines is a challenging problem in oil and gas transport systems. The study of multiphase flows is complex while necessary due to the phase changes(i.e., liquid, solid, and gas) that occur with increasing the temperature and decreasing the pressure. A one-dimensional multiphase flow model coupled with a transient hydrate kinetic model is developed to study the characteristics of the multiphase flows for the hydrates formed by the phase changes in the pipes. The multiphase flow model is derived from a multi-fluid model, while has been widely used in modelling multiphase flows. The heat convection between the fluid and the ambient through the pipe wall is considered in the energy balance equation. The developed multiphase flow model is used to simulate the procedure of the hydrate transport. The results show that the formation of the hydrates can cause hold-up oscillations of water and gas.
  • 摘要：Detonation instability is a fundamental problem for understanding the microbehavior of a detonation front. With the theoretical approach of shock dynamics, detonation instability can be mathematically described as a second-order ordinary difference equation. A one-dimensional detonation wave can be modelled as a type of oscillators.There are two different physical mechanisms controlling the behaviors of a detonation. If the shock Mach number is smaller than the equilibrium Mach number, the fluid will reach the sonic speed before the end of the chemical reaction. Then, thermal chock occurs, and the leading shock becomes stronger. If the shock Mach number is larger than the equilibrium Mach number, the fluid will be subsonic at the end of the chemical reaction. Then,the downstream rarefaction waves propagate upstream, and weaken the leading shock.The above two mechanisms are the basic recovery forces toward the equilibrium state for detonation sustenance and propagation. The detonation oscillator concept is helpful for understanding the oscillating and periodic behaviors of detonation waves. The shock dynamics theory of detonation instability gives a description of the feedback regime of the chemical reaction, which causes variations of the leading shock of the detonation.
  • 摘要：A reduced model is proposed and analyzed for the simulation of vortexinduced vibrations(VIVs) for turbine blades. A rotating blade is modelled as a uniform cantilever beam, while a van der Pol oscillator is used to represent the time-varying characteristics of the vortex shedding, which interacts with the equations of motion for the blade to simulate the fluid-structure interaction. The action for the structural motion on the fluid is considered as a linear inertia coupling. The nonlinear characteristics for the dynamic responses are investigated with the multiple scale method, and the modulation equations are derived. The transition set consisting of the bifurcation set and the hysteresis set is constructed by the singularity theory and the effects of the system parameters,such as the van der Pol damping. The coupling parameter on the equilibrium solutions is analyzed. The frequency-response curves are obtained, and the stabilities are determined by the Routh-Hurwitz criterion. The phenomena including the saddle-node and Hopf bifurcations are found to occur under certain parameter values. A direct numerical method is used to analyze the dynamic characteristics for the original system and verify the validity of the multiple scale method. The results indicate that the new coupled model is useful in explaining the rich dynamic response characteristics such as possible bifurcation phenomena in the VIVs.
  • 摘要：In this work, the mechanical behavior of a block of soft material subject to large deformation from a series of wedge-shaped indenters is evaluated. Data fields acquired from digital image correlation(DIC) are compared with the existing theoretical models. The slope angles of the wedges vary from 5?to 73.5?, and the minimum measurement uncertainties of the DIC system are established in advance to define the accuracy.It is concluded that the assumptions underpinning the analytical theory make it difficult to characterize large deformation of soft materials during contact. The strain fields are also obtained from the measured displacement field and verify the previously postulated existence of two deformation sectors, namely, a so-called shrinkage sector symmetric to the loading axis and an expansion sector, which become smaller with the increasing load and decreasing wedge angle.
  • 摘要：The paper is devoted to mathematical modelling of static and dynamic stability of a simply supported three-layered beam with a metal foam core. Mechanical properties of the core vary along the vertical direction. The field of displacements is formulated using the classical broken line hypothesis and the proposed nonlinear hypothesis that generalizes the classical one. Using both hypotheses, the strains are determined as well as the stresses of each layer. The kinetic energy, the elastic strain energy, and the work of load are also determined. The system of equations of motion is derived using Hamilton's principle. Finally, the system of three equations is reduced to one equation of motion, in particular, the Mathieu equation. The Bubnov-Galerkin method is used to solve the system of equations of motion, and the Runge-Kutta method is used to solve the second-order differential equation. Numerical calculations are done for the chosen family of beams. The critical loads, unstable regions, angular frequencies of the beam, and the static and dynamic equilibrium paths are calculated analytically and verified numerically.The results of this study are presented in the forms of figures and tables.
  • 摘要：In this research, vibration and wave propagation analysis of a twisted microbeam on Pasternak foundation is investigated. The strain-displacement relations(kinematic equations) are calculated by the displacement fields of the twisted micro-beam. The strain gradient theory(SGT) is used to implement the size dependent effect at microscale. Finally, using an energy method and Hamilton's principle, the governing equations of motion for the twisted micro-beam are derived. Natural frequencies and the wave propagation speed of the twisted micro-beam are calculated with an analytical method. Also,the natural frequency, the phase speed, the cut-off frequency, and the wave number of the twisted micro-beam are obtained by considering three material length scale parameters,the rate of twist angle, the thickness, the length of twisted micro-beam, and the elastic medium. The results of this work indicate that the phase speed in a twisted micro-beam increases with an increase in the rate of twist angle. Moreover, the wave number is inversely related with the thickness of micro-beam. Meanwhile, it is directly related to the wave propagation frequency. Increasing the rate of twist angle causes the increase in the natural frequency especially with higher thickness. The effect of the twist angle rate on the group velocity is observed at a lower wave propagation frequency.
  • 摘要：A new averaged general dynamic equation(GDE) for nanoparticles in the turbulent flow is derived by considering the combined effect of convection, Brownian diffusion, turbulent diffusion, turbulent coagulation, and fluctuating coagulation. The equation is solved with the Taylor-series expansion moment method in a turbulent pipe flow. The experiments are performed. The numerical results of particle size distribution correlate well with the experimental data. The results show that, for a turbulent nanoparticulate flow, a fluctuating coagulation term should be included in the averaged particle GDE. The larger the Schmidt number is and the lower the Reynolds number is,the smaller the value of ratio of particle diameter at the outlet to that at the inlet is. At the outlet, the particle number concentration increases from the near-wall region to the near-center region. The larger the Schmidt number is and the higher the Reynolds number is, the larger the difference in particle number concentration between the near-wall region and near-center region is. Particle polydispersity increases from the near-center region to the near-wall region. The particles with a smaller Schmidt number and the flow with a higher Reynolds number show a higher polydispersity. The degree of particle polydispersity is higher considering fluctuating coagulation than that without considering fluctuating coagulation.
  • 摘要：The formation and evolution of aerosol in turbulent flows are ubiquitous in both industrial processes and nature. The intricate interaction of turbulent mixing and aerosol evolution in a canonical turbulent mixing layer was investigated by a direct numerical simulation(DNS) in a recent study(Zhou, K., Attili, A., Alshaarawi, A.,and Bisetti, F. Simulation of aerosol nucleation and growth in a turbulent mixing layer.Physics of Fluids, 26, 065106(2014)). In this work, Monte Carlo(MC) simulation of aerosol evolution is carried out along Lagrangian trajectories obtained in the previous simulation, in order to quantify the error of the moment method used in the previous simulation. Moreover, the particle size distribution(PSD), not available in the previous works, is also investigated. Along a fluid parcel moving through the turbulent flow,temperature and vapor concentration exhibit complex fluctuations, triggering complicate aerosol processes and rendering complex PSD. However, the mean PSD is found to be bi-modal in most of the mixing layer except that a tri-modal distribution is found in the turbulent transition region. The simulated PSDs agree with the experiment observations available in the literature. A different explanation on the formation of such PSDs is provided.
  • 摘要：The present paper deals with the multiple solutions and their stability analysis of non-Newtonian micropolar nanofluid slip flow past a shrinking sheet in the presence of a passively controlled nanoparticle boundary condition. The Lie group transformation is used to find the similarity transformations which transform the governing transport equations to a system of coupled ordinary differential equations with boundary conditions. These coupled set of ordinary differential equation is then solved using the RungeKutta-Fehlberg fourth-fifth order(RKF45) method and the ode15 s solver in MATLAB.For stability analysis, the eigenvalue problem is solved to check the physically realizable solution. The upper branch is found to be stable, whereas the lower branch is unstable. The critical values(turning points) for suction(0 < sc< s) and the shrinking parameter(χc< χ < 0) are also shown graphically for both no-slip and multiple-slip conditions. Multiple regression analysis for the stable solution is carried out to investigate the impact of various pertinent parameters on heat transfer rates. The Nusselt number is found to be a decreasing function of the thermophoresis and Brownian motion parameters.
  • 摘要：This study carries out a complete analysis of time-space solution of hydrodynamics of pentagonal/decagonal quasicrystals. The behaviors of wave propagation for phonons and diffusion for phasons and coupling between phonon-phason fields are explored explicitly. Comprehensive discussion on physical time-space variations of all hydrodynamic field variables of the alloy quasicrystals is given. The computational specimen is simple, convenient in testing computational results, and provides a possibility that is easy to test experimentally. The quantitative results of mass density, viscosity velocities, phonon displacements, phason displacements, phonon stresses, phason stresses,viscosity stresses, and their time-space variations help us understand the motion of solid quasicrystals in a hydrodynamic condition(long-wavelength and low-frequency). The analysis presented in this paper can be used for octagonal and dodecagonal quasicrystals and is easily extended to other two-dimensional quasicrystals and three-dimensional icosahedral quasicrystals. Some problems explored by the computational results are also discussed.
  • 摘要：A self-adaptive-grid method is applied to numerical simulation of the evolution of aircraft wake vortex with the large eddy simulation(LES). The Idaho Falls(IDF)measurement of run 9 case is simulated numerically and compared with that of the field experimental data. The comparison shows that the method is reliable in the complex atmospheric environment with crosswind and ground effect. In addition, six cases with different ambient atmospheric turbulences and Brunt V¨ais¨al¨a(BV) frequencies are computed with the LES. The main characteristics of vortex are appropriately simulated by the current method. The onset time of rapid decay and the descending of vortices are in agreement with the previous measurements and the numerical prediction. Also, secondary structures such as baroclinic vorticity and helical structures are also simulated.Only approximately 6 million grid points are needed in computation with the present method, while the number can be as large as 34 million when using a uniform mesh with the same core resolution. The self-adaptive-grid method is proved to be practical in the numerical research of aircraft wake vortex.
  • 摘要：A numerical analysis model based on two-dimensional shallow water differential equations is presented for straight open-channel flow with partial vegetation across the channel. Both the drag force acting on vegetation and the momentum exchange between the vegetation and non-vegetation zones are considered. The depth-averaged streamwise velocity is solved by the singular perturbation method, while the Reynolds stress is calculated based on the results of the streamwise velocity. Comparisons with the experimental data indicate that the accuracy of prediction is significantly improved by introducing a term for the secondary current in the model. A sensitivity analysis shows that a sound choice of the secondary current intensity coefficient is important for an accurate prediction of the depth-averaged streamwise velocity near the vegetation and non-vegetation interfaces, and the drag force coefficient is crucial for predictions in the vegetation zone.
  • 摘要：According to the vibration characteristics of the round window, a mechanical model of a round window membrane is established. The Euler equation of the round window and the complementary boundary conditions are derived by the variational principle. Combined with the Bessel function, an analytical solution of the round window displacement is obtained by MATHEMATICA. Combined with clinical characteristics of round window membrane lesion, the effect of sound transmission due to thickening of the round window membrane caused by the otitis media, shrinkage of the round window membrane area caused by otosclerosis, and hardening of the round window membrane itself is analyzed. The results show that with thickening of the round window membrane,the displacement of the round window membrane is decreased. In the meantime, with hardening of the round window membrane and shrinkage of the membrane area, the maximum displacement of the round window membrane is gradually reduced, leading to a decrease in sound transmission. Thus, the analytical analysis can avoid interference of environment and the technical level of personnel, and it can evaluate transmission performance of the round window membrane efficiently, providing a theoretical basis for the reverse excitation of artificial prosthesis.

    应用数学和力学（英文版）的期刊信息

    • 曾用名：Applied Mathematics and Mechanics;应用数学和力学(英文版)
    • 创刊时间：1980
    • 地区：CHINA MAINLAND
    • 语言：中文
    • 热门主题：Shanghai University;The Chinese Society of Theoretical and Applied Mechanics
    • 学科分类：

      2

      MATHEMATICS, APPLIED:Q1;MECHANICS:Q3;

      Engineering:Mechanical Engineering;Mechanics of Materials;Mathematics:Applied Mathematics;

    应用数学和力学（英文版）的获奖情况

    • • 卓越计划期刊
    • • 上海市优秀科技期刊一等奖
    • • 中国期刊方阵“双效”期刊

    应用数学和力学（英文版）的收录情况

    • • 中国科学引文数据库（2015-2016）
    • • 中国科学引文数据库（2017-2018）
    • • 中国科学引文数据库（2019-2020）
    • • 工程索引
    • • 哥白尼索引
    • • 日本科学技术振兴机构数据库
    • • 数学评论（网络版）
    • • 科学引文索引（扩展库）
    • • 文摘与引文数据库
    • • 数学文摘

    应用数学和力学（英文版）的投稿信息

    • 投稿方式：
    • 投稿须知：点击查看
    • 期刊官方网站：点击前往
    • 版面费：
    • 审稿费：元
    • 通讯地址：上海市上大路99号上海大学122信箱
    • 邮编：200444
    • 联系电话：021-66135601 66135219
    • 邮箱：amm@department.shu.edu.cn
    • 期刊栏目：学术报告
    免费订阅本刊

    客服邮箱：kefu@zhangqiaokeyan.com

    京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有 出版物经营许可证

    • 客服微信

    • 服务号