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| 1 | Improved non-dominated sorting genetic algorithm (NSGA)-II in multi-objective optimization studies of wind turbine blades显示文摘The non-dominated sorting genetic algorithm (NSGA) is improved with the controlled elitism and dynamic crowding distance.A novel multi-objective optimization algorithm is obtained for wind turbine blades.As an example,a 5 MW wind turbine blade design is presented by taking the maximum power coefficient and the minimum blade mass as the optimization objectives.The optimal results show that this algorithm has good performance in handling the multi-objective optimization of wind turbines,and it gives a Pareto-optimal solution set rather than the optimum solutions to the conventional multiobjective optimization problems.The wind turbine blade optimization method presented in this paper provides a new and general algorithm for the multi-objective optimization of wind turbines. | 王珑 王同光 罗源 | 2011 | Applied Mathematics and Mechanics(English Edition)2011，32，6： | 27 |
| 2 | GENERALIZED H-KKM TYPE THEOREMS IN H-METRIC SPACES WITH APPLICATIONS显示文摘The new notions of H-metric spaces and generalized H-KKM mappings were introduced. Some generalized H-KKM type theorems for generalized H-KKM mappings with finitely metrically compactly closed values and finitely metrically compactly open values were established in H-metric spaces. These theorems generalize recent results of Khamsi and Yuan. As applications, some Ky Fan type matching theorems for finitely metrically compactly open covers and finitely metrically compactly closed covers, fixed point theorems and minimax inequality are obtained in H-metric spaces. These results generalize a number of known results in recent literature. | DING Xie-ping(丁协平) XIA Fu-quan(夏福全) | 2001 | Applied Mathematics and Mechanics(English Edition)2001，22，10： | 23 |
| 3 | Bending of Timoshenko beam with effect of crack gap based on equivalent spring model显示文摘Considering the effect of crack gap,the bending deformation of the Timoshenko beam with switching cracks is studied.To represent a crack with gap as a nonlinear unidirectional rotational spring,the equivalent flexural rigidity of the cracked beam is derived with the generalized Dirac delta function.A closed-form general solution is obtained for bending of a Timoshenko beam with an arbitrary number of switching cracks.Three examples of bending of the Timoshenko beam are presented.The influence of the beam’s slenderness ratio,the crack’s depth,and the external load on the crack state and bending performances of the cracked beam is analyzed.It is revealed that a cusp exists on the deflection curve,and a jump on the rotation angle curve occurs at a crack location.The relation between the beam’s deflection and load is bilinear,each part corresponding to an open or closed state of crack,respectively.When the crack is open,flexibility of the cracked beam decreases with the increase of the beam’s slenderness ratio and the decrease of the crack depth.The results are useful in identifying non-destructive cracks on a beam. | Xiao YANG Jin HUANG Yu OUYANG | 2016 | Applied Mathematics and Mechanics(English Edition)2016，37，4： | 23 |
| 4 | A CLASS OF SINGULARLY PERTURBED GENERALIZED BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATION OF HIGHER ORDER显示文摘The singularly perturbed generalized boundary value problems for the quasi_linear elliptic equation of higher order are considered. Under suitable conditions,the existence, uniqueness and asymptotic behavior of the generalized solution for the Dirichlet problems are studied. | MO Jia-qi(莫嘉琪) OUYANG Cheng(欧阳成) | 2001 | Applied Mathematics and Mechanics(English Edition)2001，22，3： | 19 |
| 5 | Optimization of high-speed railway pantographs for improving pantograph-catenary contact显示文摘A crucial system for the operation of high-speed trains is the pantograph catenary interface as it is the sole responsible to deliver electrical power to the train. Being the catenary a stationary system with a long lifespan it is also less likely to be redesigned and upgraded than the pantographs that fit the train vehicles. This letter proposes an optimization procedure for the improvement of the contact quality between the pantograph and the catenary solely based on the redesign of the pantograph head suspension characteristics. A pantograph model is defined and validated against experimental dynamic characteristics of existing pantographs. An optimization strategy based on the use of a global optimization method, to find the vicinity of the optimal solution, followed by the use of a deterministic optimization algorithm, to fine tune the optimal solution, is applied here. The spring stiffness, damping characteristics and bow mass are the design variables used for the pantograph optimization. The objective of the optimal problem is the minimization of the standard deviation of the contact force history, which is the most important quantity to define the contact quality. The pantograph head suspension characteristics are allowed to vary within technological realistic limits. It is found that current high-speed railway pantographs have a limited potential for mechanical improvements, not exceeding 10%-15% on the decrease of the standard deviation of the contact force. | Jorge Ambrósio Joo Pombo Manuel Pereira | 2013 | Theoretical & Applied Mechanics Letters2013，3，1： | 15 |
| 6 | Some New Fixed Point Theorems in Probabilistic Metric Spaces显示文摘SOMENEWFIXEDPOINTTHEOREMSINPROBABILISTICMETRICSPACESzhuChuan-xi(朱传喜)(MathematiesDivision,Nanchang.University,Nanchang)(Receiv... | 朱传喜 | 1995 | Applied Mathematics and Mechanics(English Edition)1995，16，2： | 14 |
| 7 | Self-adaptive one-dimensional nonlinear finite element method based on element energy projection method显示文摘The element energy projection(EEP) method for computation of superconvergent resulting in a one-dimensional finite element method(FEM) is successfully used to self-adaptive FEM analysis of various linear problems, based on which this paper presents a substantial extension of the whole set of technology to nonlinear problems.The main idea behind the technology transfer from linear analysis to nonlinear analysis is to use Newton's method to linearize nonlinear problems into a series of linear problems so that the EEP formulation and the corresponding adaptive strategy can be directly used without the need for specific super-convergence formulation for nonlinear FEM. As a result, a unified and general self-adaptive algorithm for nonlinear FEM analysis is formed.The proposed algorithm is found to be able to produce satisfactory finite element results with accuracy satisfying the user-preset error tolerances by maximum norm anywhere on the mesh. Taking the nonlinear ordinary differential equation(ODE) of second-order as the model problem, this paper describes the related fundamental idea, the implementation strategy, and the computational algorithm. Representative numerical examples are given to show the efficiency, stability, versatility, and reliability of the proposed approach. | 袁驷 杜炎 邢沁妍 叶康生 | 2014 | Applied Mathematics and Mechanics(English Edition)2014，35，10： | 14 |
| 8 | Principal parametric resonance of axially accelerating rectangular thin plate in magnetic field显示文摘Nonlinear parametric vibration and stability is investigated for an axially accelerating rectangular thin plate subjected to parametric excitations resulting from the axial time-varying tension and axial time-varying speed in the magnetic field.Considering geometric nonlinearity,based on the expressions of total kinetic energy,potential energy,and electromagnetic force,the nonlinear magneto-elastic vibration equations of axially moving rectangular thin plate are derived by using the Hamilton principle.Based on displacement mode hypothesis,by using the Galerkin method,the nonlinear parametric oscillation equation of the axially moving rectangular thin plate with four simply supported edges in the transverse magnetic field is obtained.The nonlinear principal parametric resonance amplitude-frequency equation is further derived by means of the multiple-scale method.The stability of the steady-state solution is also discussed,and the critical condition of stability is determined.As numerical examples for an axially moving rectangular thin plate,the influences of the detuning parameter,axial speed,axial tension,and magnetic induction intensity on the principal parametric resonance behavior are investigated. | 胡宇达 张金志 | 2013 | Applied Mathematics and Mechanics(English Edition)2013，34，11： | 13 |
| 9 | ON THE OSCILLATION OF SOLUTIONS OF HYPERBOLIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS显示文摘CLCnumber:O175.2Documentcode:AolutionsofHyperbangPeiguangandGeWeigaolutionsofHyperbolicFunctionaWangPeiguangandGeWeigaolution... | 王培光 葛渭高 | 1999 | Applied Mathematics and Mechanics(English Edition)1999，20，7： | 12 |
| 10 | Nonlinear progressive damage model for composite laminates used for low-velocity impact显示文摘In order to effectively describe the progressively intralaminar and interlaminar damage for composite laminates,a three dimensional progressive damage model for composite laminates to be used for low-velocity impact is presented.Being applied to three-dimensional(3D) solid elements and cohesive elements,the nonhnear damage model can be used to analyze the dynamic performance of composite structure and its failure behavior.For the intralaminar damage,as a function of the energy release rate,the damage model in an exponential function can describe progressive development of the damage.For the interlaminar damage,the damage evolution is described by the framework of the continuum mechanics through cohesive elements.Coding the user subroutine VUMAT of the finite element software ABAQUS/Explicit,the model is applied to an example,i.e.,carbon fiber reinforced epoxy composite laminates under low-velocity impact.It is shown that the prediction of damage and deformation agrees well with the experimental results. | 郭卫 薛璞 杨军 | 2013 | Applied Mathematics and Mechanics(English Edition)2013，34，9： | 11 |
| 11 | TOPOLOGICAL DEGREE THEORY AND FIXED POINT THEOREMS IN PROBABILISTIC METRIC SPACES显示文摘The Leray-Schauder topological degree theory is established in the probabilistic linearnormed spaces.Based.on this theory,some fixed point theorems for mappings in theprobabilistic linear normed spaces are shown. | 张石生 陈玉清 | 1989 | Applied Mathematics and Mechanics(English Edition)1989，10，6： | 11 |
| 12 | Elastic properties of chiral,anti-chiral,and hierarchical honeycombs:A simple energy-based approach显示文摘The effects of two geometric refinement strategies widespread in natural structures, chirality and self-similar hierarchy, on the in-plane elastic response of two-dimensional honeycombs were studied systematically. Simple closed-form expressions were derived for the elastic moduli of several chiral, antichiral, and hierarchical honeycombs with hexagon and square based networks. Finite element analysis was employed to validate the analytical estimates of the elastic moduli. The results were also compared with the numerical and experimental data available in the literature. We found that introducing a hierarchical refinement increases the Young's modulus of hexagon based honeycombs while decreases their shear modulus. For square based honeycombs, hierarchy increases the shear modulus while decreasing their Young's modulus. Introducing chirality was shown to always decrease the Young's modulus and Poisson's ratio of the structure. However, chirality remains the only route to auxeticity. In particular, we found that anti-tetra-chiral structures were capable of simultaneously exhibiting anisotropy, auxeticity,and remarkably low shear modulus as the magnitude of the chirality of the unit cell increases. | Davood Mousanezhad Babak Haghpanah Ranajay Ghosh Abdel Magid Hamouda Harold Nayeb-Hashemi Ashkan Vaziri | 2016 | Theoretical & Applied Mechanics Letters2016，6，2： | 11 |
| 13 | Physics-informed deep learning for incompressible laminar flows显示文摘Physics-informed deep learning has drawn tremendous interest in recent years to solve computational physics problems,whose basic concept is to embed physical laws to constrain/inform neural networks,with the need of less data for training a reliable model.This can be achieved by incorporating the residual of physics equations into the loss function.Through minimizing the loss function,the network could approximate the solution.In this paper,we propose a mixed-variable scheme of physics-informed neural network(PINN)for fluid dynamics and apply it to simulate steady and transient laminar flows at low Reynolds numbers.A parametric study indicates that the mixed-variable scheme can improve the PINN trainability and the solution accuracy.The predicted velocity and pressure fields by the proposed PINN approach are also compared with the reference numerical solutions.Simulation results demonstrate great potential of the proposed PINN for fluid flow simulation with a high accuracy. | Chengping Rao Hao Sun Yang Liu | 2020 | Theoretical & Applied Mechanics Letters2020，10，3： | 11 |
| 14 | Recursive super-convergence computation for multi-dimensional problems via one-dimensional element energy pro jection technique显示文摘This paper presents a strategy for computation of super-convergent solutions of multi-dimensional problems in the finite element method(FEM) by recursive application of the one-dimensional(1D) element energy projection(EEP) technique. The main idea is to conceptually treat multi-dimensional problems as generalized 1D problems,based on which the concepts of generalized 1D FEM and its consequent EEP formulae have been developed in a unified manner. Equipped with these concepts, multi-dimensional problems can be recursively discretized in one dimension at each step, until a fully discretized standard finite element(FE) model is reached. This conceptual dimension-bydimension(D-by-D) discretization procedure is entirely equivalent to a full FE discretization. As a reverseD-by-D recovery procedure, by using the unified EEP formulae together with proper extraction of the generalized nodal solutions, super-convergent displacements and first derivatives for two-dimensional(2D) and three-dimensional(3D) problems can be obtained over the domain. Numerical examples of 3D Poisson's equation and elasticity problem are given to verify the feasibility and effectiveness of the proposed strategy. | Si YUAN Yue WU Qinyan XING | 2018 | Applied Mathematics and Mechanics(English Edition)2018，39，7： | 11 |
| 15 | Ride comfort evaluation for road vehicle based on rigid-flexible coupling multibody dynamics显示文摘In the present research two different whole vehicle multibody models are established respectively, including rigid and rigid-flexible coupling multibody vehicle models. The former is all composed by rigid bodies while in the later model, the flexible rear suspension is built based on the finite element method (FEM) and mode superposition method, in which the deformations of the components are considered. The ride simulations with different speeds are carried out on a 3D digitalized road, and the weighted root mean square (RMS) of accelerations on the seat surface, backrest and at the feet are calculated. The comparison between the responses of the rigid and rigid-flexible coupling multibody models shows that the flexibility of the vehicle parts significantly affects the accelerations at each position, and it is necessary to take the flexibility effects intoaccount for the assessment of ride comfort. | Guangqiang Wu Guodong Fan Jianbo Guo | 2013 | Theoretical & Applied Mechanics Letters2013，3，1： | 11 |
| 16 | General solutions of plane problem in one-dimensional quasicrystal piezoelectric materials and its application on fracture mechanics显示文摘Based on the fundamental equations of piezoelasticity of quasicrystals(QCs),with the symmetry operations of point groups, the plane piezoelasticity theory of onedimensional(1D) QCs with all point groups is investigated systematically. The governing equations of the piezoelasticity problem for 1D QCs including monoclinic QCs,orthorhombic QCs, tetragonal QCs, and hexagonal QCs are deduced rigorously. The general solutions of the piezoelasticity problem for these QCs are derived by the operator method and the complex variable function method. As an application, an antiplane crack problem is further considered by the semi-inverse method, and the closed-form solutions of the phonon, phason, and electric fields near the crack tip are obtained. The path-independent integral derived from the conservation integral equals the energy release rate. | Jing YU Junhong GUO Ernian PAN Yongming XING | 2015 | Applied Mathematics and Mechanics(English Edition)2015，36，6： | 10 |
| 17 | Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method显示文摘In this study, the effects of magnetic field and nanoparticle on the Jeffery-Hamel flow are studied using a powerful analytical method called the Adomian decomposition method (ADM). The traditional Navier-Stokes equation of fluid mechanics and Maxwell's electromagnetism governing equations are reduced to nonlinear ordinary differential equations to model the problem. The obtained results are well agreed with that of the Runge-Kutta method. The present plots confirm that the method has high accuracy for different α, Ha, and Re numbers. The flow field inside the divergent channel is studied for various values of Hartmann number and angle of channel. The effect of nanoparticle volume fraction in the absence of magnetic field is investigated. | M.SHEIKHOLESLAMI D.D.GANJI H.R.ASHORYNEJAD H.B.ROKNI | 2012 | Applied Mathematics and Mechanics(English Edition)2012，33，1： | 10 |
| 18 | Nonlinear dynamics of axially moving viscoelastic Timoshenko beam under parametric and external excitations显示文摘This investigation focuses on the nonlinear dynamic behaviors in the transverse vibration of an axially accelerating viscoelastic Timoshenko beam with the external harmonic excitation. The parametric excitation is caused by the harmonic fluctuations of the axial moving speed. An integro-partial-differential equation governing the transverse vibration of the Timoshenko beam is established. Many factors are considered, such as viscoelasticity, the finite axial support rigidity, and the longitudinally varying tension due to the axial acceleration. With the Galerkin truncation method, a set of nonlinear ordinary differential equations are derived by discretizing the governing equation. Based on the numerical solutions, the bifurcation diagrams are presented to study the effect of the external transverse excitation. Moreover, the frequencies of the two excitations are assumed to be multiple. Further, five different tools, including the time history, the Poincar′e map, and the sensitivity to initial conditions, are used to identify the motion form of the nonlinear vibration. Numerical results also show the characteristics of the quasiperiodic motion of the translating Timoshenko beam under an incommensurable relationship between the dual-frequency excitations. | Qiaoyun YAN Hu DING Liqun CHEN | 2015 | Applied Mathematics and Mechanics(English Edition)2015，36，8： | 10 |
| 19 | Free vibration of functionally graded beams based on both classical and first-order shear deformation beam theories显示文摘The free vibration of functionally graded material(FGM) beams is studied based on both the classical and the first-order shear deformation beam theories. The equations of motion for the FGM beams are derived by considering the shear deformation and the axial, transversal, rotational, and axial-rotational coupling inertia forces on the assumption that the material properties vary arbitrarily in the thickness direction.By using the numerical shooting method to solve the eigenvalue problem of the coupled ordinary differential equations with different boundary conditions, the natural frequencies of the FGM Timoshenko beams are obtained numerically. In a special case of the classical beam theory, a proportional transformation between the natural frequencies of the FGM and the reference homogenous beams is obtained by using the mathematical similarity between the mathematical formulations. This formula provides a simple and useful approach to evaluate the natural frequencies of the FGM beams without dealing with the tension-bending coupling problem. Approximately, this analogous transition can also be extended to predict the frequencies of the FGM Timoshenko beams. The numerical results obtained by the shooting method and those obtained by the analogous transformation are presented to show the effects of the material gradient, the slenderness ratio, and the boundary conditions on the natural frequencies in detail. | 李世荣 万泽青 张静华 | 2014 | Applied Mathematics and Mechanics(English Edition)2014，35，5： | 9 |
| 20 | Influence of magnetic field and Hall currents on blood flow through a stenotic artery显示文摘A micropolar model for blood simulating magnetohydrodynamic flow through a horizontally nonsymmetric but vertically symmetric artery with a mild stenosis is presented.To estimate the effect of the stenosis shape,a suitable geometry has been considered such that the horizontal shape of the stenosis can easily be changed just by varying a parameter referred to as the shape parameter.Flow parameters,such as velocity, the resistance to flow(the resistance impedance),the wall shear stress distribution in the stenotic region,and its magnitude at the maximum height of the stenosis(stenosis throat),have been computed for different shape parameters,the Hartmann number and the Hall parameter.This shows that the resistance to flow decreases with the increasing values of the parameter determining the stenosis shape and the Hall parameter,while it increases with the increasing Hartmann number.The wall shear stress and the shearing stress on the wall at the maximum height of the stenosis possess an inverse characteristic to the resistance to flow with respect to any given value of the Hartmann number and the Hall parameter.Finally,the effect of the Hartmann number and the Hall parameter on the horizontal velocity is examined. | Kh.S.Mekheimer M.A.El Kot | 2008 | Applied Mathematics and Mechanics(English Edition)2008，29，8： | 9 |
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