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71.
ADAPTIVE MESHLESS METHOD BASED ON LOCAL FIT TECHNOLOGY 总被引:1,自引:0,他引:1
LouLuliang ZengPan 《Acta Mechanica Solida Sinica》2005,18(2):164-172
An h-adaptive meshless method is proposed in this paper. The error estimation is based on local fit technology, usually confined to Voronoi Cells. The error is achieved by comparison of the computational results with smoothed ones, which are projected with Taylor series. Voronoi Cells are introduced not only for integration of potential energy but also for guidance of refinement.New nodes are placed within those cells with high estimated error. At the end of the paper, two numerical examples with severe stress gradient are analyzed. Through adaptive analysis accurate results are obtained at critical subdomains, which validates the efficiency of the method. 相似文献
72.
73.
弹性地基上四边自由的各向异性矩形板 总被引:4,自引:2,他引:4
通过叠加法得到了弹性地基上的各向异性矩形板的一般解。每个叠加解被展成重傅立叶级数,其自身或其一阶导数在边界上的值被展成单傅立叶级数。利用控制微分方程和一些边界条件,每个叠加解被简化成用边界值的级数的系数表示的傅立叶级数。文后给出了弹性地基上的方板的挠曲面图。 相似文献
74.
确定计算模型时,发动机定子按实际刚度,采用NASTRAN70.0程序对发动机整机进行了动力分析,分析结果与试验进行了比较,吻合度优于美国GE公司计算结果。作者认为造成偏磨故障的原因是弹性环压死,使压气机转子与定子反向平动的第六阶临界转速上升到接近放气阀门关闭时转速所致。根据动力响应计算结果,装配工艺采取措施后,克服了此偏磨故障。 相似文献
75.
76.
ChenJnnming HuangYuying 《Acta Mechanica Solida Sinica》2003,16(3):210-219
Based on the motion differential equations of vibration and acoustic coupling system for thin elastic spherical shell with an elastic plate attached to its internal surface, in which Dirac-δ functions are employed to introduce the moments and forces applied by the attachment on the surface of shell, by means of expanding field quantities as Legendre series, a semi-analytic solution is derived for the vibration and acoustic radiation from a submerged stiffened spherical shell with a deck-type internal plate, which has a satisfactory computational effectiveness and precision for an arbitrary frequency range. It is easy to analyze the effect of the internal plate on the acoustic radiation field by using the formulas obtained by the method proposed. It is concluded that the internal plate can significantly change the mechanical and acoustic characteristics of shell, and give the coupling system a very rich resonance frequency spectrum. Moreover, the method can be used to study the acoustic radiation mechanism in similar structures as the one studied here. 相似文献
77.
78.
子域精细积分及偏微分方程数值解 总被引:58,自引:1,他引:58
钟万勰 《计算结构力学及其应用》1995,12(3):253-260
对于偏微分方程半解析法的方程,精细时程积分虽然能求出高度准确的解,但往往面临矩阵尺度太大的困难,另一方面差分法虽然有带宽小的优点,但有稳定性及精度方面的问题,本文提出子域精细积分法,既可利用精细积分的数值优点,又有带宽小的好处,数值例题表明了子域精细积分法的效能。 相似文献
79.
万顺平 《中国惯性技术学报》2007,15(4):469-473
经分析指出,磁电拾振技术应用在机抖激光陀螺抖动反馈方案中,其工作原理属于速度型传感器,直接反映抖动偏频量。给出了磁电拾振器的误差因素和结构特点,并测试了磁电拾振器方案与压电陶瓷反馈方案的输出特性。对同一机抖陀螺分别使用以上两种抖动反馈方案;在静态测试零偏稳定性、抗振动和冲击能力中,前者皆好于后者。研究表明磁电拾振方案比压电陶瓷反馈或光电反馈方案更适合作为抖动反馈。 相似文献
80.
SELF-ADAPTIVE STRATEGY FOR ONE-DIMENSIONAL FINITE ELEMENT METHOD BASED ON ELEMENT ENERGY PROJECTION METHOD 总被引:1,自引:0,他引:1
Based on the newly-developed element energy projection (EEP) method for computation of super-convergent results in one-dimensional finite element method (FEM), the task of self-adaptive FEM analysis was converted into the task of adaptive piecewise polynomial interpolation. As a result, a satisfactory FEM mesh can be obtained, and further FEM analysis on this mesh would immediately produce an FEM solution which usually satisfies the user specified error tolerance. Even though the error tolerance was not completely satisfied, one or two steps of further local refinements would be sufficient. This strategy was found to be very simple, rapid, cheap and efficient. Taking the elliptical ordinary differential equation of second order as the model problem, the fundamental idea, implementation strategy and detailed algorithm are described. Representative numerical examples are given to show the effectiveness and reliability of the proposed approach. 相似文献