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应用数学和力学(英文版)
应用数学和力学(英文版)

周哲玮

月刊

0253-4827

amm@department.shu.edu.cn

021-66135601,66135219

200444

上海市上大路99号

应用数学和力学(英文版)/Journal Applied Mathematics and MechanicsCSCDEISCI
查看更多>>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。
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收录年代

    Tunable topological interface states via a parametric system in composite lattices with/without symmetric elements

    Jianguo CUITianzhi YANGWenju HANLiang LI...
    2055-2074页
    查看更多>>摘要:Over the past decades,topological interface states have attracted signifi-cant attention in classical wave systems.Generally,research on the topological interface states of elastic waves is conducted in the lattices with symmetric elements.This paper proposes composite lattices with/without symmetric elements,and demonstrates the re-alization of tunable topological interface states of elastic waves via parametric systems.To quantize the topological characteristics of the bands,a modified Zak phase is defined to calculate the topological invariant by the eigenstates for the lattices with/without sym-metric elements.The numerical results show that the tunable frequencies of topological interface states can be realized in composite lattices with/without symmetric elements through the modulation of the parametric excitation frequency.The tunable topological interface states can be introduced into the vibration energy harvesting to design efficient and steady energy harvesting systems.

    Size-dependent vibration and buckling of porous functionally graded microplates based on modified couple stress theory in thermal environments by considering a dual power-law distribution of scale effects

    Feixiang TANGShaonan SHISiyu HEFang DONG...
    2075-2092页
    查看更多>>摘要:In this study,the thermodynamic behaviors of the intrinsic frequency and buckling temperature of rectangular plates of functionally graded materials(FGMs)are explored based on the modified couple stress theory(MCST)and the novel dual power-law scale distribution theory.The effects of linear,homogeneous,and non-homogeneous temperature fields on the frequency and buckling temperature of FGM microplates are evaluated in detail.The results show that the porosity greatly affects the mechanical properties of FGM plates,reducing their frequency and flexural temperature compared with non-porous plates.Different temperature profiles alter plate frequencies and buckling temperatures.The presence and pattern of scale effect parameters are also shown to be crucial for the mechanical response of FGM plates.The present research aims to provide precise guidelines for the micro-electro-mechanical system(MEMS)fabrication by elucidating the complex interplay between thermal,material,and structural factors that affect the performance of FGM plates in advanced applications.

    Non-Fourier heat conduction induced thermal shock fracture behavior of multi-crack auxetic honeycomb structures

    Junsong HUBaoling WANGYang YANGDong XIE...
    2093-2112页
    查看更多>>摘要:The investigation of non-Fourier thermal shock fracture behavior in multi-crack auxetic honeycomb structures(HSs)is presented.By employing a non-Fourier heat conduction model,the corresponding temperature and thermal stress fields are estab-lished.Subsequently,a thermal stress intensity factor(TSIF)model for the auxetic HSs,accounting for multi-crack interactions,is developed.Finally,using the fracture-based failure criterion,the non-Fourier multi-crack critical temperature of the auxetic HSs is determined.This investigation thoroughly examines the effects of the non-Fourier effect(NFE),auxetic property,crack spacing,and crack location on the thermal shock frac-ture behavior of the auxetic HSs.Results indicate that a stronger NFE leads to weaker thermal shock resistance in auxetic HSs.Regardless of the presence of the NFE,the auxetic property consistently increases the multi-crack critical temperature of the HSs.Additionally,the interaction of multi-crack inhibits thermal shock crack propagation in HSs.

    Modeling and analysis of an inextensible beam with inertial and geometric nonlinearities

    Zhanhuan YAOTieding GUOWanzhi QIAO
    2113-2130页
    查看更多>>摘要:The present study focuses on an inextensible beam and its relevant inertia nonlinearity,which are essentially distinct from the commonly treated extensible beam that is dominated by the geometric nonlinearity.Explicitly,by considering a weakly constrained or free end(in the longitudinal direction),the inextensibility assumption and inertial nonlinearity(with and without an initial curvature)are introduced.For a straight beam,a multi-scale analysis of hardening/softening dynamics reveals the effects of the end stiffness/mass.Extending the straight scenario,a refined inextensible curved beam model is further proposed,accounting for both its inertial nonlinearity and geometric nonlinearity induced by the initial curvature.The numerical results for the frequency responses are also presented to illustrate the dynamic effects of the initial curvature and axial constraint,i.e.,the end mass and end stiffness.

    Mixed-mode fast-slow oscillations in the frequency switching Duffing system with a 1:n frequency ratio

    Shiping JIANGXiujing HANHailong YU
    2131-2146页
    查看更多>>摘要:Sliding fast-slow oscillations are interesting oscillation patterns discovered recently in the Duffing system with frequency switching.Such oscillations have been ob-tained with a fixed 1:2 low frequency ratio in the previous work.The present paper aims to explore composite fast-slow dynamics when the frequency ratio is variable.As a result,a novel route to composite fast-slow dynamics is obtained.We find that,when presented with variable frequency ratios in a 1:n fashion,the sliding fast-slow oscillations may turn into the ones characterized by the fact that the clusters of large-amplitude oscillations of relaxational type are exhibited in each period of the oscillations,and hence the mixed-mode fast-slow oscillations.Depending on whether the transition of the trajectory is from the upper subsystem via the fold bifurcation or not,these interesting oscillations are di-vided into two classes,both of which are investigated numerically.Our study shows that,when the frequency ratio n is increased from n=3,newly created boundary equilibrium bifurcation points may appear on the original sliding boundary line,which is divided into smaller parts,showing sliding and downward crossing dynamical characteristics.This is the root cause of the clusters,showing large-amplitude oscillations of relaxational type,resulting in the formation of mixed-mode fast-slow oscillations.Thus,a novel route to composite fast-slow dynamics by frequency switching is explained.Besides,the effects of the forcing on the mixed-mode fast-slow oscillations are explored.The magnitude of the forcing frequency may have some effects on the number of large-amplitude oscillations in the clusters.The magnitude of the forcing amplitude determines whether the fast-slow characteristics can be produced.

    Semi-analytical finite element method applied for characterizing micropolar fibrous composites

    J.A.OTEROY.ESPINOS A-ALMEYDAR.RODRÍGUEZ-RAMOSJ.MERODIO...
    2147-2164页
    查看更多>>摘要:A semi-analytical finite element method(SAFEM),based on the two-scale asymptotic homogenization method(AHM)and the finite element method(FEM),is implemented to obtain the effective properties of two-phase fiber-reinforced composites(FRCs).The fibers are periodically distributed and unidirectionally aligned in a homo-geneous matrix.This framework addresses the static linear elastic micropolar problem through partial differential equations,subject to boundary conditions and perfect inter-face contact conditions.The mathematical formulation of the local problems and the effective coefficients are presented by the AHM.The local problems obtained from the AHM are solved by the FEM,which is denoted as the SAFEM.The numerical results are provided,and the accuracy of the solutions is analyzed,indicating that the formulas and results obtained with the SAFEM may serve as the reference points for validating the outcomes of experimental and numerical computations.

    A novel solution of rectangular composite laminates under oblique low-velocity impacts

    Yinxiao ZHANGZheng GONGErnian PANChao ZHANG...
    2165-2182页
    查看更多>>摘要:An analytical solution for the responses of composite laminates under oblique low-velocity impacts is presented for a cross-ply,orthotropic,and rectangular plate under oblique low-velocity impacts.The plate is under simply-supported edge conditions,and the dynamic displacement field is expressed in a mixed form by in-plane double Fourier series and cubic polynomials through the thickness as 12 variables for each layer.A system of modified Lagrange equations is derived with all interface constraints.The Hertz and Cattaneo-Mindlin theories are used to solve for the normal and tangential contact forces during the impacts.By further discretizing in the time domain,the oblique impact problem is solved iteratively.While the numerical results clearly show the influence of impact velocity,stacking sequence,mechanical parameters,and geometric parameters,the proposed analytical approach could serve as a theoretical basis for the laminate analysis and design when it is under low-velocity impacts.

    Distributionally robust model predictive control for constrained robotic manipulators based on neural network modeling

    Yiheng YANGKai ZHANGZhihua CHENBin LI...
    2183-2202页
    查看更多>>摘要:A distributionally robust model predictive control(DRMPC)scheme is pro-posed based on neural network(NN)modeling to achieve the trajectory tracking control of robot manipulators with state and control torque constraints.First,an NN is used to fit the motion data of robot manipulators for data-driven dynamic modeling,convert-ing it into a linear prediction model through gradients.Then,by statistically analyzing the stochastic characteristics of the NN modeling errors,a distributionally robust model predictive controller is designed based on the chance constraints,and the optimization problem is transformed into a tractable quadratic programming(QP)problem under the distributionally robust optimization(DRO)framework.The recursive feasibility and con-vergence of the proposed algorithm are proven.Finally,the effectiveness of the proposed algorithm is verified through numerical simulation.

    An upper bound on the steady flow velocity of solvent-free nanofluids

    Weipeng HUZhengqi HANXiqiao FENGYaping ZHENG...
    2203-2214页
    查看更多>>摘要:The rheological properties and limited flow velocities of solvent-free nanoflu-ids are crucial for their technologically significant applications.In particular,the flow in a solvent-free nanofluid system is steady only when the flow velocity is lower than a critical value.In this paper,we establish a rigid-flexible dynamic model to investigate the existence of the upper bound on the steady flow velocities for three solvent-free nanofluid systems.Then,the effects of the structural parameters on the upper bound on the steady flow velocities are examined with the proposed structure-preserving method.It is found that each of these solvent-free nanofluid systems has an upper bound on the steady flow velocity,which exhibits distinct dependence on their structural parameters,such as the graft density of branch chains and the size of the cores.In addition,among the three types of solvent-free nanofluids,the magnetic solvent-free nanofluid poses the largest up-per bound on the steady flow velocity,demonstrating that it is a better choice when a large flow velocity is required in real applications.

    Numerical computations of magnetohydrodynamic mixed convective flow of Casson nanofluid in an open-ended cavity formed by earthquake-induced faults

    M.IBTESAMS.NADEEMJ.ALZABUT
    2215-2230页
    查看更多>>摘要:The numerical computations for the magnetohydrodynamic(MHD)mixed convective flow of a non-Newtonian Casson nanofluid(Cu/H2O)within an open-ended cavity formed by earthquake-induced faults are analyzed,aiming to investigate the fluid dynamics and convection processes of geothermal systems.Such cavities,typically found in energy reservoirs,are primarily caused by tensional fault zones formed due to the accumulated energy from the disintegration of radioactive materials.These cavities play a crucial role in energy transmission,particularly in the form of heat.The focus of this paper is on the laminar,steady,and incompressible fluid flow.An inclined magnetic field is applied with an angle of inclination z=30°.Additionally,a heated material with two vertical corrugated walls is placed at the center of the cavity.The governing nonlinear partial differential equations(PDEs)are transformed into the equations with a non-dimensional form.The Galerkin finite element method(FEM)is implemented to solve the dimensionless equations.The impacts of key variables,including the Reynolds number Re,the volume fraction(0.01 ≤ φp≤0.05),the Hartmann number Ha,and the Casson parameter(0.5 ≤ γ ≤ 1.0),on the velocity and temperature distributions are studied.The analysis of the fluid flow and the heat transfer rate is conducted.The results indicate that the velocity increases as the volume fraction and the Reynolds number increase.Similarly,the heat transfer rate rises with the Reynolds number and the volume fraction,while decreases with the higher Hartmann number.The Nusselt number increases with the volume fraction and the Reynolds number but decreases with the Hartmann number.