材料弹塑性性能数值模拟的多尺度方法

将均匀化方法和渐近分析(Asymptotic Analysis)与参变量变分原理相结合提出了一种模拟复合材料非线性性能的多尺度数值方法.该方法用渐近分析建立宏-细观变量之间的联系,利用参变量变分原理计算非线性响应,求解过程采用迭代算法.为提高计算精度,针对Von-Mises准则和Tsai-Hill准则,提出了一个基于参变量变分原理的改进算法,算例表明该方法可以显著消除传统方法采用线性展开式构造线性互补条件所带来的误差.     

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超轻多孔金属材料因其具有优良的结构效率和广泛的多功能应用前景,近年来已成为国内外 众多研究所关注的热点. 本文就学术界关注的多孔金属材料的宏观等效模型建模与材料微 结构的多功能优化设计进行了综述.     

Projected Runge-Kutta methods for constrained Hamiltonian systems

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.     

多工况下结构鲁棒性拓扑优化设计

针对工程中存在多个随机不确定工况载荷作用的情况, 将鲁棒性设计思想引入到连续体结构拓扑优化设计, 发展和完善不确定性优化理论和计算方法. 基于概率模型和SIMP方法,提出以结构柔顺度标准差最小化为目标、具有体积约束的连续体鲁棒性拓扑优化数学模型.通过对目标函数及其灵敏度计算公式的推导, 采用数学规划法实现优化问题的求解. 数值算例验证了所提优化模型的正确性及算法的有效性, 并通过与确定性优化结果的比较,证明鲁棒性拓扑优化能够给出结构柔顺性变异更小的材料分布.      

THE SOLUTION FOR THE GENERALIZED RICCATI ALGEBRAIC EQUATIONS OF LINEAR EQUALITY CONSTRAINT SYSTEM

I.IntroductionTheestablishmentofanalogytheorybetweencomputationalstructuralmechanicsalldoptimalcontrolisbasedonthesubstructuralchaintheoryinstructuralmechanicsandthelillearquadratic(LQ)controlprobleminoptimalcontrolllJ.Whendealillgwiththecontrolproblenlbyapplyingtheabovethe.ry,wecanrealizetheadvantagesofmethodsinstrLlcturalInechanicsl2'3].Howevermostworkhasbeenlimitedtothenon-constraintsystemandlittleworkhasbeendonefortheconstraintsystemsofLlr.InRef.I4],basedonthegeneralizedvariationalprin…     

基于能量辨识的非线性静电-结构系统的自由度缩减建模方法

给出了一种基于系统能量函数辨识的静电致动微薄板系统自由度缩减建模方法.从Von Karman应变-位移关系式出发,推导出以广义模态坐标为变量的系统动能、应变能以及电容函数的函数表达式.为了将应变能以及电容函数写成广义模态坐标的多变量多项式形式,利用一系列经静态非线性结构有限元计算的结果,拟合得到多变量多项式的未知系数.由Lagrangian方程获得原系统的自由度缩减模型.利用该模型对器件的静/动态特性进行仿真,其计算费用很低.与有限元结果比较,验证了建模方法的正确性.     

Precise control for vibration of rigid–flexible mechanical arm

In the present paper, based on the nonlinear dynamic equation of spacial flexible mechanical arm with dual-link bar, the method of linear quadratic control is used to eliminate the remain vibration of mechanical arm. In the process of computation, the traditional differential algorithm is replaced by the time integration method. Because of taking the more precise time-intervals in the given time-interval and avoiding a lot of computational difficulties, the method of this paper has the characteristics of high precision and unconditional stable. For a typical structure, the precise control law is obtained and the advantages of the algorithm in this paper are shown.     

双空孔间距对爆破槽腔断面大小的影响

为了探究空孔间距对巷道掘进掏槽爆破效果的影响,基于大红山铜矿某巷道建立有限元数值模型,计算双大直径空孔不同布孔间距条件下的掏槽爆破成腔断面积,并对最优方案开展现场验证。研究结果表明：空孔间距d_v=15 cm时,槽腔断面积为0.1641 m²;当d_v增加到d_v=25 cm时,槽腔断面积为0.2116 m²,断面积增大28.94%;当 d_v增加到35 cm时,槽腔断面面积为0.2436 m²,断面积增大15.1%;但当d_v增大到45 cm时,槽腔面积为0.1740 m²,断面积减小17.8%;当d_v增大到55 cm时,槽腔面积为0.0951 m²,断面积减小45.3%。对成腔断面积最大的空孔间距d_v=35 cm的布孔方案进行现场试验,2号现场试验测得槽腔断面宽度、高度及断面积分别比模拟结果小4.0%、3.4%和4.98%,多次试验与模拟结果误差均在5%以内,能够为地下巷道掏槽爆破成腔体积预测的数值方法构建提供数据参考。

     

Molecular packing parameter in bolaamphiphile solutions: adjustment of aggregate morphology by modifying the solution conditions

The geometrical rule of molecular packing parameters in a bolaamphiphile solution was tested with experimental results. By modifying the solution conditions to change the molecular packing parameters, the morphology of the aggregate was successfully manipulated in a single-chain bolaamphiphile, disodium phenyl-1,4-bis (oxyhexanoate) (i.e., C6PhC6Na2 solution). Micelle-vesicle-tube transformation was observed by changing the pH and the addition of NaBr or octanol. In the mixed systems of oppositely charged bola/surfactants, the molecular packing parameter's role is related to the mixing ratio.     

Thermomechanical response of metallic sandwich tubes with prismatic cores considering active cooling

In this paper, the transient temperature distribution and the thermomechanical response of sandwich tubes with prismatic cores are analyzed considering active cooling. The effective thermal conductivities of prismatic cores with active cooling are derived. By using the effective thermal conductivities, the transient temperature fields of the tubes are predicted and are found to be very close to the results of finite element simulations, which confirms the correctness of the effective thermal conductivity. Based on the high-order sandwich shell theory, the thermal structural responses of sandwich structures are studied and compared with the results of finite element simulations. The reduction of the thermal structural responses as a result of active cooling is studied to demonstrate the advantages of prismatic cellular materials. The design of replacing the solid metal with cellular materials which has the capability of active cooling can reduce the temperature and the thermal structural response of the structure.