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| 1 | BENDING OF FUNCTIONALLY GRADED PIEZOELECTRIC RECTANGULAR PLATES显示文摘By introducing two displacement functions as well as two stress functions,two independentstate equations with variable coefficients are derived from the three-dimensional theory equations of piezo-elasticity for transverse isotropy.A laminated approximation is used to transform the state equations to thosewith constant coefficients in each sub-layer.The bending problem of a functionally graded rectangular plate isthen analyzed based on the state equations.Numerical results are presented and the effect of material gradi-ent index is discussed. | Chen Weiqiu Ding Haojiang | 2000 | Acta Mechanica Solida Sinica2000，13，4： | 37 |
| 2 | Three-dimensional analytical solution for a transversely isotropic functionally graded piezoelectric circular plate subject to a uniform electric potential difference显示文摘This paper studies the problem of a functionally graded piezoelectric circular plate subjected to a uniform electric potential difference between the upper and lower surfaces. By assuming the generalized displacements in appropriate forms,five differential equations governing the generalized displacement functions are derived from the equilibrium equations. These displacement functions are then obtained in an explicit form,which still involve four undetermined integral constants,through a step-by-step integration which properly incorporates the boundary conditions at the upper and lower surfaces. The boundary conditions at the cylindrical surface are then used to determine the integral constants. Hence,three-dimen sional analytical solutions for electrically loaded functionally graded piezoelectric circular plates with free or simply-supported edge are completely determined. These solutions can account for an arbitrary material variation along the thickness,and thus can be readily degenerated into those for a homogenous plate. A numerical example is finally given to show the validity of the analysis,and the effect of material inhomogeneity on the elastic and electric fields is discussed. | LI XiangYu DING HaoJiang CHEN WeiQiu | 2008 | Science China(Physics,Mechanics & Astronomy)2008，51，8： | 13 |
| 3 | Growth response and toxic effects of three antibiotics on Selenastrum capricornutum evaluated by photosynthetic rate and chlorophyll biosynthesis显示文摘The effects of three types of antibiotics (erythromycin,ciprofloxacin and sulfamethoxazole) on the photosynthesis of freshwater algae,Selenastrum capricornutum Printz,were investigated by determining the growth rate,chloroplast pigments content,seven main precursors (including δ-aminolevulinic acid,porphobilinogen,uroporphyrinogen III,coproporphyrinogen III,protoporphyrin IX,Mg-proporphyrin IX and protochlorophyllide),and photosynthetic rate during chlorophyll biosynthesis.The antibiotics significantly decreased the growth rate,chlorophyll content,and photosynthetic rate.Erythromycin induced a decreasing effect at a concentration of 0.06 mg/L,while ciprofloxacin and sulfamethoxazole achieved the same results at concentrations higher than 1.5 mg/L.Only erythromycin significantly inhibited chlorophyll biosynthesis,which indicated that it was considerably more toxic to S.capricornutum than ciprofloxacin and sulfamethoxazole,and may pose a high potential risk to aquatic ecosystems. | Binyang Liu Weiqiu Liu Xiangping Nie Chao Guan Yufeng Yang Zhaohui Wang Wei Liao | 2011 | Journal of Environmental Sciences2011，23，9： | 11 |
| 4 | Modeling of multi-inclusion composites with interfacial imperfections:Micromechanical and numerical simulations显示文摘A micromechanical approach based on a two-layer built-in model and a numerical simulation based on boundary element method are proposed to predict the effective properties of the multi-inclusion composite with imperfect interfaces.The spring model is introduced to simulate the interface imperfection.These two methods are compared with each other,and good agreement is achieved.The effects of interface spring stiffness,volume ratio and stiffness of inclusions on the micro-and macro-mechanical behaviors of fiber-reinforced composites are investigated.It is shown that the developed micromechanical method is very comprehensive and efficient for fast prediction of effective properties of composites,while the numerical method is very accurate in detailed modeling of the mechanical behavior of composites with multiple inclusions. | CHEN WeiQiu 1,ZHU XingYi 2 &HUANG ZhiYi 2 1 Department of Engineering Mechanics,Yuquan Campus,Zhejiang University,Hangzhou 310027,China 2 Key Laboratory of Soft Soils and Geoenvironmental Engineering,Ministry of Education Department of Civil Engineering,Zijingang Campus,Zhejiang University,Hangzhou 310058,China | 2010 | Science China(Technological Sciences)2010，53，3： | 8 |
| 5 | Fast multipole boundary element analysis of 2D viscoelastic composites with imperfect interfaces显示文摘A fast multipole boundary element method(FMBEM)is developed for the analysis of 2D linear viscoelastic composites with imperfect viscoelastic interfaces.The transformed fast multipole formulations are established using the time domain method. To simulate the viscoelastic behavior of imperfect interfaces that are frequently encountered in practice,the Kelvin type model is introduced.The FMBEM is further improved by incorporating naturally the interaction among inclusions as well as eliminating the phenomenon of material penetration.Since all the integrals are evaluated analytically,high accuracy and fast convergence of the numerical scheme are obtained.Several numerical examples,including planar viscoelastic composites with a single inclusion or randomly distributed multi-inclusions are presented.The numerical results are compared with the developed analytical solutions,which illustrates that the proposed FMBEM is very efficient in determining the macroscopic viscoelastic behavior of the particle-reinforced composites with the presence of imperfect interfaces.The laboratory measurements of the mixture creep compliance of asphalt concrete are also compared with the prediction by the developed model. | ZHU XingYi 1 ,CHEN WeiQiu 2 ,HUANG ZhiYi 1* &LIU YiJun 3 1 Department of Civil Engineering,Zhejiang University,Zijingang Campus,Hangzhou 310058,China 2 Department of Engineering Mechanics,Zhejiang University,Yuquan Campus,Hangzhou 310027,China 3Department of Mechanical Engineering,University of Cincinnati,Cincinnati,Ohio 45221-0072,USA | 2010 | Science China(Technological Sciences)2010，53，8： | 7 |
| 6 | Feedback minimization of first-passage failure of quasi integrable Hamiltonian systems显示文摘为最小化伪 integrable Hamiltonian 系统(点亮水坝砰和弱随机的刺激的 multi-degree-of-freedom integrable Hamiltonian 系统题目) 的第一经过的失败的非线性的随机的最佳的控制策略被建议。为一个控制伪 integrable Hamiltonian 系统的运动的方程被使用随机的平均方法归结为一套平均 Itô 随机的微分方程。然后,动态编程方程和他们的联系边界和期末考试为可靠性的最大化的控制问题预定条件,吝啬的第一经过的时间被提出。最佳的控制法律从动态编程方程和控制限制被导出。为这些控制问题的最后的动态编程方程被决定,他们到管理有条件的可靠性的向后的 Kolmogorov 方程的关系工作,管理吝啬的第一经过的时间的 Pontryagin 方程独立被建立。有条件的可靠性功能和控制系统的吝啬的第一经过的时间被解决最后的动态编程方程和 Pontryagin 方程获得。一个例子被举说明建议控制策略的应用程序和有效性。 | Maolin Deng Weiqiu Zhu Department of Mechanics,State Key Laboratory of Fluid Power Transmission and Control,Zhejiang University,Hangzhou 310027,China | 2007 | Acta Mechanica Sinica2007，23，4： | 6 |
| 7 | Electromechanical Fields Near a Circular PN Junction Between Two Piezoelectric Semiconductors显示文摘We study electromechanical fields near the interface between a circular piezoelectric semiconductor cylinder and another piezoelectric semiconductor in which it is embedded.The cylinder is p-doped. The surrounding material is n-doped. The phenomenological theory of piezoelectric semiconductors consisting of the equations of piezoelectricity and the conservation of charge for holes and electrons is used. The theory is linearized for small carrier concentration perturbations. An analytical solution is obtained, showing the formation of a PN junction near the interface. Various electromechanical fields associated with the junction are calculated. The effects of a few physical parameters are examined. | Yixun Luo Ruoran Cheng Chunli Zhang Weiqiu Chen Jiashi Yang | 2018 | Acta Mechanica Solida Sinica2018，31，2： | 5 |
| 8 | Stochastic averaging technique for SDOF strongly nonlinear systems with delayed feedback fractional-order PD controller显示文摘A stochastic averaging technique is proposed to study the randomly excited single-degree-of-freedom(SDOF) strongly nonlinear systems with delayed feedback fractional-order proportional-derivative(PD) controller. The delayed feedback fractional-order PD control force is approximated by an equivalent non-delay feedback control force combining with a quasi-linear elastic force and a quasi-linear damping force. The averaged It? stochastic differential equation for amplitude of the equivalent nonlinear system is derived by the generalized harmonic functions. The analytical stationary probability density function(PDF) is obtained with solving the reduced Fokker-Planck-Kolmogorov(FPK) equation. Two examples of van der Pol oscillator and RayleighDuffing oscillator are studied to illustrate the application and effectiveness of the proposed method. Numerical results display that the proposed method can yield to the high precision, and the time delay could ruin the control effectiveness, but also even amplifies the response of the system more than that of uncontrolled system. Furthermore, the study finds that the parameters of fractional-order α and time delay may cause the stochastic P-bifurcation. It is indicated that the delayed feedback fractional-order PD controller can offer a potentially effective tool for anti-control of stochastic | CHEN LinCong LIANG Xiao ZHU WeiQiu ZHAO YaoBing | 2019 | Science China(Technological Sciences)2019，62，2： | 5 |
| 9 | A THREE-DIMENSIONAL SOLUTION FOR LAMINATED ORTHOTROPIC RECTANGULAR PLATES WITH VISCOELASTIC INTERFACES显示文摘当身体由粘弹性的材料完全或甚至部分组成时,它在静态的装载下面的反应将是时间依赖者。一起使用到胶水的粘合剂挑选厚度在把压成薄片通常在高温度环境展出某个粘弹性的特征。在这篇论文,把压成薄片的 orthotropic 有粘弹性的接口的矩形的板,由 Kelvin-Voigt 模型描述了,被考虑。一种力量系列扩大技术被采用接近各种各样的地数量的时间变化。结果显示有粘弹性的接口的把压成薄片的板的反应随着时间显著地变化,并且与有像春天或粘滞的接口的一个盘子的不同。 | Yan Wei Ying Ji Chen Weiqiu | 2006 | Acta Mechanica Solida Sinica2006，19，2： | 5 |
| 10 | WAVES IN PRE-STRETCHED INCOMPRESSIBLE SOFT ELECTROACTIVE CYLINDERS:EXACT SOLUTION显示文摘This paper studies wave propagation in a soft electroactive cylinder with an underlying finite deformation in the presence of an electric biasing field.Based on a recently proposed nonlinear framework for electroelasticity and the associated linear incremental theory,the basic equations governing the axisymmetric wave motion in the cylinder,which is subjected to homogeneous pre-stretches and pre-existing axial electric displacement,are presented when the electroactive material is isotropic and incompressible.Exact wave solution is then derived in terms of(modified) Bessel functions.For a prototype model of nonlinear electroactive material,illustrative numerical results are given.It is shown that the effect of pre-stretch and electric biasing field could be significant on the wave propagation characteristics. | Weiqiu Chen Huihui Dai | 2012 | Acta Mechanica Solida Sinica2012，25，5： | 4 |
| 11 | Stochastic response of fractional-order van der Pol oscillator显示文摘We studied the response of fractional-order van de Pol oscillator to Gaussian white noise excitation in this letter. An equivalent integral-order nonlinear stochastic system is obtained to replace the given system based on the principle of minimum mean-square error. Through stochastic averaging, an averaged Ito equation is deduced. We obtained the Fokker–Planck–Kolmogorov equation connected to the averaged Ito equation and solved it to yield the approximate stationary response of the system. The analytical solution is confirmed by using Monte Carlo simulation. | Lincong Chen Weiqiu Zhu | 2014 | Theoretical & Applied Mechanics Letters2014，4，1： | 4 |
| 12 | ON FREE WAVE PROPAGATION IN ANISOTROPIC LAYERED MEDIA显示文摘回响光线矩阵(MRRM ) 的方法在各向异性的分层的有弹性的媒介为免费波浪繁殖的分析被扩大并且修改。一般、数字地稳定的明确的表达在州的空间框架以内被建立。在本地双坐标的物理变量的相容性给阶段关系,指数地成长的函数从被排除。接口和边界条件导致散布关系,它避免矩阵倒置操作。数字例子被给显示出现在的 MRRM 的高精确性。 | Yongqiang Guo Weiqiu Chen | 2008 | Acta Mechanica Solida Sinica2008，21，6： | 4 |
| 13 | Effects of functionally graded materials on dynamics of molecular bond clusters显示文摘Unlike nonspecific adhesion of conventional hard materials in engineering commonly described by JKR and DMT type models,the molecular adhesion via specific receptor-ligand bonds is stochastic by nature and has the feature that its strength strongly depends on the medium stiffness surrounding the adhesion.In this paper,we demonstrate in a stochastic-elasticity framework that a type of materials with linearly graded elastic modulus can be designed to achieve 'equal load sharing' and enhanced cooperative rebinding among interfacial molecular bonds.Upon modulus gradation,multiple molecular bonds can be elastically decoupled but statistically cooperative.In general,uniform molecular adhesion can be accomplished by two strategies:homogeneous materials with sufficient stiffness higher than a threshold or heterogeneous materials satisfying the criterion on modulus gradation.These results not only provide a theoretical principle for possible applications of functionally graded materials in quantitatively controlling cell-matrix adhesion,but also have general implications on adhesion between soft materials mediated by specific molecular binding. | ZHANG WenLiang QIAN Jin YAO HaiMin CHEN WeiQiu GAO HuaJian | 2012 | Science China(Physics,Mechanics & Astronomy)2012，55，6： | 3 |
| 14 | First-passage failure of harmonically and stochastically excited Duffing oscillator with delayed feedback control显示文摘The first-passage failure of Duffing oscillator with the delayed feedback control under the combined harmonic and white-noise excitations is investigated. First, the time-delayed feedback control force is expressed approximately in terms of the system state variables without time delay. Then, the averaged It? stochastic differential equations for the system are derived by using the stochastic averaging method. A backward Kolmogorov equation governing the conditional reliability function and a set of generalized Pontryagin equations governing the conditional moments of the first-passage time are established. Finally, the conditional reliability function, the conditional probability density and moments of the first-passage time are obtained by solving the backward Kolmogorov equation and generalized Pontryagin equations with suitable initial and boundary conditions. The effects of time delay in feedback control force on the conditional reliability function, conditional probability density and moments of the first-passage time are analyzed. The validity of the proposed method is confirmed by digital simulation. | FENG ChangShui ZHU WeiQiu | 2011 | Science China(Technological Sciences)2011，54，5： | 3 |
| 15 | STOCHASTIC OPTIMAL CONTROL OF STRONGLY NONLINEAR SYSTEMS UNDER WIDE-BAND RANDOM EXCITATION WITH ACTUATOR SATURATION显示文摘为在有致动器浸透的非白种人的宽带随机刺激下面的强烈非线性的系统的围住的最佳的控制策略被建议。首先,随机的平均方法用概括泛音功能在宽带随机刺激下面为控制强烈非线性的系统被介绍。然后,为浸透的控制问题的动态编程方程被提出从部分平均它吗?方程基于动态编程原则。由无界的最佳的控制组成的最佳的控制和围住的枪战影片控制被解决动态编程方程决定。最后,最佳地控制的系统的反应被解决方程与联系了的减少的 Fokker-Planck-Kolmogorov (FPK ) 预言完成平均它吗?方程。一个例子被给说明建议控制策略。数字结果证明建议控制策略有高控制有效性和效率并且啁啾显著地被减少与枪战影片作比较控制策略。 | Changshui Feng Weiqiu Zhu | 2008 | Acta Mechanica Solida Sinica2008，21，2： | 3 |
| 16 | Electrical Response of a Multiferroic Composite Semiconductor Fiber Under a Local Magnetic Field显示文摘We study the electrical response of a multiferroic composite semiconductor fiber consisting of a piezoelectric semiconductor layer and two piezomagnetic layers under a transverse magnetic field applied locally to a finite part of the fiber.The phenomenological theory of piezomagnetic-piezoelectric semiconductors is employed.A one-dimensional model is derived for magnetically induced extension of the fiber.For open-circuit boundary conditions at the two ends of the fiber,an analytical solution is obtained from the model linearized for small carrier perturbations.The solution shows a local electric polarization and a pair of local electric potential barrier-well.When the two ends of the fiber are under a voltage,a nonlinear numerical solution shows that the potential barrier and well forbid the passage of currents when the voltage is low.The results have potential applications in piezotronic devices when magnetic fields are involved for manipulating the devices or sensing and transduction. | Chao Liang Chunli Zhang Weiqiu Chen Jiashi Yang | 2020 | Acta Mechanica Solida Sinica2020，33，5： | 3 |
| 17 | INDENTATION OF A TRANSVERSELY ISOTROPIC PIEZOELECTRIC HALF-SPACE BY A RIGID SPHERE显示文摘This paper exactly analyzes the problem of a rigid sphere indenting a transversely isotropicpiezoelectric half-space.The potential theory method is employed and generalized to include the piezoelec-tric effect.By using the previous results of elasticity,an exact solution is derived.It is found that all theelastoelectric variables can be expressed in terms of elementary functions. | Chen Weiqiu Ding Haojiang | 1999 | Acta Mechanica Solida Sinica1999，12，2： | 3 |
| 18 | Recursive formulations for the method of reverberation-ray matrix and the application显示文摘A recursive formulation is proposed for the method of reverberation-ray matrix (MRRM) to exactly analyze the free vibration of a multi-span continuous rectangular Kirchhoff plate, which has two oppo- site simply-supported edges. In contrast to the traditional MRRM, numerical stability is achieved by using the present new formulation for high-order frequencies or/and for plates with large span-to-width ratios. The heavy computational cost of storage and memory are also cut down. An improved recursive formulation is further proposed by modifying the iterative formula to reduce the matrix inversion op- erations. Numerical examples are finally given to demonstrate the effectiveness and efficiency of the proposed recursive formulae. | ZHU Jun CHEN WeiQiu YE GuiRu Lü ChaoFeng | 2009 | Science China(Physics,Mechanics & Astronomy)2009，52，2： | 3 |
| 19 | STOCHASTIC OPTIMAL CONTROL OF HYSTERETIC SYSTEMS UNDER EXTERNALLY AND PARAMETRICALLY RANDOM EXCITATIONS显示文摘A stochastic optimal control method for nonlinear hysteretic systems under exter-nally and/or parametrically random excitations is presented and illustrated with an example ofhysteretic column system.A hysteretic system subject to random excitation is first replaced bya nonlinear non-hysteretic stochastic system.An It stochastic differential equation for the to-tal energy of the system as a one-dimensional controlled diffusion process is derived by usingthe stochastic averaging method of energy envelope.A dynamical programming equation is thenestablished based on the stochastic dynamical programming principle and solved to yield the op-timal control force.Finally,the responses of uncontrolled and controlled systems are evaluatedto determine the control efficacy.It is shown by numerical results that the proposed stochasticoptimal control method is more effective and efficient than other optimal control methods. | Ying Zuguang Zhu Weiqiu (Department of Mechanics,Zhejiang University,Hangzhou 310027,China) | 2003 | Acta Mechanica Solida Sinica2003，16，1： | 3 |
| 20 | A THEORETICAL SOLUTION OF CYLINDRICALLY ISOTROPIC CYLINDRICAL TUBE FOR AXISYMMETRIC PLANE STRAIN DYNAMIC THERMOELASTIC PROBLEM显示文摘A dynamic thermoelastic solution of a cylindrically isotropic cylindrical tube or solid cylinderwith axisymmetric plane deformations is developed.Since there exist thermal boundary conditions and trac-tions on the two surfaces of a cylindrical tube,the problem under consideration is with inhomogeneous bound-ary conditions.Therefore we introduce a special function to transform the inhomogeneous boundary conditionsto homogeneous ones for an unknown function.Then by using the method of separation of variables,the un-known function can be expressed as the multiplication series of Bessel functions and unknown time functions.Thirdly,by virtue of the orthogonal properties of Bessel functions,the equations about these unknown timefunctions are derived and the solutions are obtained.Finally,the displacement is obtained by adding the twoparts mentioned above.By means of the present method,integral transform can be avoided.It is suitable forarbitrary thermal loads and mechanical loads.Numerical results are also presented for thermal shocked,cy-lindrically isotropic cylindrical tube and solid cylinder. | Ding Haojiang Wang Huiming Chen Weiqiu | 2001 | Acta Mechanica Solida Sinica2001，14，4： | 3 |
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