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WuYongdong ZhongWeifang LiangYide 《Acta Mechanica Solida Sinica》2004,17(3):251-257
I. INTRODUCTION Composite materials have been used extensively in aerospace and other industries owing to the factthat they have high speci?c modulus, high speci?c strength, and the capability to be designed andfabricated with greater ?exibility, and ha… 相似文献
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Let E/F be a Galois extension of number fields with Galois group G=Gal(E/F), and let p be a prime not dividing #G. In this paper, using character theory of finite groups, we obtain the upper bound of #K2OE if the group K2OE is cyclic, and prove some results on the divisibility of the p-rank of the tame kernel K2OE, where E/F is not necessarily abelian. In particular, in the case of G=Cn, Dn, A4, we easily get some results on the divisibility of the p-rank of the tame kernel K2OE by the character table. Let E/Q be a normal extension with Galois group Dl, where l is an odd prime, and F/Q a non-normal subextension with degree l. As an application, we show that f|p-rank K2OF, where f is the smallest positive integer such that pf≡±1(mod l). 相似文献
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基于最大主应力准则,利用扩展有限元法对钢筋混凝土三点弯曲梁的裂纹扩展进行数值模拟。通过与已有模型试验结果的比对,验证了该方法的准确性与有效性。研究发现,带裂纹钢筋混凝土构件的裂纹扩展与力学性能不但受到单裂纹的尺寸、位置、倾角的影响,而且还受多裂纹间位置关系的影响;其中,裂纹横向分布位置和裂纹纵向分布位置是影响带裂纹钢筋混凝土梁裂缝扩展的主要因素。 相似文献
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一种半隐式有限体积—有限元方法的收敛性 总被引:1,自引:0,他引:1
本文研究非线性对流扩散问题的一种半隐式有限体积和有限元方法相结合的数值方法,给出数值解的收敛性及其证明。 相似文献
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城区地铁车辆段进行上盖物业开发可节约、集约利用地铁用地,缓解城市土地资源稀缺问题。地铁车辆段特别是其咽喉区振动是上盖物业开发的环境制约因素。为研究地铁车辆段咽喉区对上盖建筑的振动影响,建立轨道-地基土-上盖建筑三维有限元模型,采用等效荷载法,将实地采样的钢轨铅垂向振动加速度转化为列车钢轨铅垂向振动线荷载,作用于轨道上。在结合实测数据验证模型合理性的基础上,定量研究上盖平台厚度和离地高度、上盖建筑层数和结构等因素对室内环境振动(铅垂向Z振级VLZmax)的影响。结果表明,地铁车辆段咽喉区对高层建筑的振动影响整体大于多层建筑;由于振动波在屋顶自由端发生反射并与入射波叠加,导致不同楼层楼板中央VLZmax随楼层升高略有增加;框架结构建筑室内VLZmax大于剪力墙结构;增加上盖平台厚度可减小建筑室内VLZmax;上盖建筑室内VLZmax随上盖平台离地高度增加而增加(即随建筑楼层绝对离地高度增加而增大)。研究结果可为地铁车辆段上盖物业开发振动污染防治提供理论和工程技术依据。 相似文献
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Two nonconforming penalty methods for the two-dimensional stationary Navier-Stokes equations are studied in this paper. These methods are based on the weakly continuous $P_1$ vector fields and the locally divergence-free (LDF) finite elements, which respectively penalize local divergence and are discontinuous across edges. These methods have no penalty factors and avoid solving the saddle-point problems. The existence and uniqueness of the velocity solution are proved, and the optimal error estimates of the energy norms and $L^2$-norms are obtained. Moreover, we propose unified pressure recovery algorithms and prove the optimal error estimates of $L^2$-norm for pressure. We design a unified iterative method for numerical experiments to verify the correctness of the theoretical analysis. 相似文献
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不可压缩流动的数值模拟是计算流体力学的重要组成部分. 基于有限元离散方法, 本文设计了不可压缩Navier-Stokes (N-S)方程支配流的若干并行数值算法. 这些并行算法可归为两大类: 一类是基于两重网格离散方法, 首先在粗网格上求解非线性的N-S方程, 然后在细网格的子区域上并行求解线性化的残差方程, 以校正粗网格的解; 另一类是基于新型完全重叠型区域分解技巧, 每台处理器用一局部加密的全局多尺度网格计算所负责子区域的局部有限元解. 这些并行算法实现简单, 通信需求少, 具有良好的并行性能, 能获得与标准有限元方法相同收敛阶的有限元解. 理论分析和数值试验验证了并行算法的高效性 相似文献
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张立平 《数学物理学报(B辑英文版)》2007,27(2):243-253
A noninterior continuation method is proposed for semidefinite complementarity problem (SDCP). This method improves the noninterior continuation methods recently developed for SDCP by Chen and Tseng. The main properties of our method are: (i) it is well defined for the monotones SDCP; (ii) it has to solve just one linear system of equations at each step; (iii) it is shown to be both globally linearly convergent and locally quadratically convergent under suitable assumptions. 相似文献
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