数值方法

In chapter 2,all kinds of numerical methods of computational fracturemechanics are summarized,the development histories and present situation ofboundary collocation method,boundary integral method,finite difference method,boundary element method and finite element method are expounded,and theapplication of finite element method in fracture mechanics are emphaticallydiscussed.

第二章 总结了计算断裂力学中各种数值方法，论述了边界配位法、边界积分法、有限差分法、边界元法及有限元法的发展历史和现状，并着重讨论了有限元法在断裂力学中的应用。

Based on the analytical and numerical method, free vibration of the cantilever beam with rotating motion is analyzed.

分析转动悬臂梁的自由振动问题，通过综合运用解析法和数值方法解决悬臂梁振型函数过于复杂的问题。

In the present study, three different blood constitutive models, namely, the Newtonian, the Casson and the hybrid fluid constitutive models were used in the flow simulation of the human carotid bifurcation. The results were compared among the three models.

为此，本文采用数值方法比较了三种不同血液本构关系（牛顿模型，Casson模型和混合模型）所模拟的血液在颈动脉分岔血管内的流动情况。

With the wide application of computer, numerical analysis for the stability of underground cavern has played a more and more important role.

随着计算机的广泛使用，数值方法在解决地下洞室围岩稳定问题中越来越发挥着重要的作用。

The influence on absorption coefficient brought from shape choice with cylindrical or cone-shaped cavity, square or hexagonal profile, from different closure as air or water, from different material properties and structure sizes, are analyzed based on the numerical calculations. Some general characteristics are summarized. It shows that lowest resonance frequency of sound absorbent coefficient is inversely proportional to volume of cavity and sound absorbent coefficient is proportional to perforated percentage.

2通过数值方法研究了吸声结构内腔为圆柱腔和圆锥腔、基材的剖面形状为正四边形和正六边形、不同背衬、基材材料特性、尺寸大小对整体吸声效果的影响，总结了这些情况下非旋转对称吸声结构的声学特性变化规律，得出腔体体积越大，吸声系数最低共振频率越低；穿孔率越大，吸声系数越大的结论。

Several graded materials that are composite of different metals and ceramal are taken for the examples, the phase velocity equation is solved by the numerical method, the dispersion curves are given. The results show that the Rayleigh waves nearb...

以不同金属与陶瓷复合而成的几种梯度材料为例，用数值方法求解了相速度方程，给出了相应的波的弥散曲线，结果表明，梯度介质半空间自由表面附近的Rayleigh波通常有两种不同的弥散形式，即正常弥散和非正常弥散

The stability condition of the steady-state motion is got from the roots of the characteristic equation.

并指出多数情况下还要借助数值方法来讨论有关特征方程的特征值问题。

The transverse wave disturbance along tangential base flow of circular vortex is discussed By using numerical method we study this instability of baroclinic flow which is mesoscale inertia wave instability on the cylindrical coordinate The influence of stratification stability N 2 , Coriolis parameter f 0 , the vertical shear of tangential wind z of the ambinent atmosphere and the latent heat on the growth rate of instability is studied From the above analysis and calculation, we can learn that there are Eady mode and mesoscale mode of transverse wave instability in circular vortex as well Furthermore we also learn that distribution character of mesoscale mode disturbance field of transverse wave instability, anomalistic "cats eye" structure of lower level and the character of the slowly spreading disturbance converges at low level and the quickly spreading disturbance converges at high level

作者中文名：李红金；陆汉城；宋晓亮；李鲲摘要：讨论涡旋大气中，存在沿切向基流传播的横波型扰动，并采用数值方法讨论了柱坐标系下圆形涡旋系统斜压气流中这类扰动的不稳定，这是一类中尺度的重力惯性波的不稳定。研究了涡旋环境大气的层结稳定度参数N2、切向风垂直切变Vz、凝结潜热、涡旋特性及科里奥利参数f0对不稳定增长率的影响。圆形涡旋中同样存在横波不稳定的Eady模态和中尺度模态，得到了中尺度模态的扰动场分布特征：流场的不规则"猫眼"结构及慢速传播的扰动均集中在低层，而快速传播的扰动均集中在高层的扰动特征。

The interaction between Antarctic Circumpolar Current and Antarctic coastal current in the Indian section of the Southern Ocean is investigated in this paper by using numerical and theoretical methods. Especially, The non-zonation of ACC in the region of Kerguelen Plateau and its annual variation are analyzed.

本文利用数值方法对南大洋印度洋扇形区南极绕极流和南极沿岸流的相互作用进行了研究，重点研究了凯尔盖朗海台区ACC的非纬向性特征及其季节变化，对其非纬向性的形成机制进行了理论探讨。

Analysis Rational functions and their decomposition, Computation of primitives: integral defined on a closed bounded interval, numerical methods.

分析 有理函数及其分解，基元计算：积分在已封闭的范围内区间，数值方法确定。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。