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After a series of study of numerical method related to impact dynamics, such as the transient finite element discretization method of conservation equations, numerical quadrature and hourglass control, the identification and redefinition of sliding interface and so on, the dissertation is aimed at to study a high efficient.

在分析八节点六面体单元出现沙漏变形的物理原因的基础上,通过引入抗沙漏节点力消除了因单点积分引起的各种沙漏模态。

For this purpose, a new single mean scheme is presented to evaluate numerically the Poisson integral.

为此目的,本文提出一个单点平均的方案来对泊松积分进行估值。

Since the stresses and strains at all sample points over the loading history are computed independently, the propagation of cumulative errors at the system stage is reduced in essence.

在单元特性分析阶段,新算法将在荷载空间内同时确定广义应力及广义应变的双变量问题变为对已知的广义应力自变量进行定积分的单变量问题。

The high order single step algorithm is a new method of direct integration for solution equations of motion.

非线性结构时程分析的高阶单步算法是一种新的求解运动方程的直接积分法。

And it is more realistic to calculate single-shot kill probability under this circumstances, however, it is generally accomplished by numerical integration, and hence adds some difficulties to theoretical analysis and engineering practices.

计算这种情况下的单发杀伤概率更具有实际意义,然而这种计算通常要用数值积分去完成,这给理论分析和实际应用造成了不便。

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesn't calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明:无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的,而且考虑的结构地震反应都是非平稳的高斯过程,方法实现也比较容易;在Littlewood—Paley小波基下求得的结构的动力可靠度比较大,由改造的meyer小波和谐波小波求得的动力可靠度略有差异;单边指数小波下的结构动力可靠性分析非常简单,不用求功率谱函数来积分,只需求得结构地震反应的位移方差,速度方差,利用最大值分布公式就可得到结构的动力可靠时程;另外也考虑了超越界限对结构动力可靠度的影响,超越界限越小,结构的动力可靠度越小,即破坏概率越大。

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesnt calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明:无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的,而且考虑的结构地震反应都是非平稳的高斯过程,方法实现也比较容易;在Littlewood—Paley小波基下求得的结构的动力可靠度比较大,由改造的meyer小波和谐波小波求得的动力可靠度略有差异;单边指数小波下的结构动力可靠性分析非常简单,不用求功率谱函数来积分,只需求得结构地震反应的位移方差,速度方差,利用最大值分布公式就可得到结构的动力可靠时程;另外也考虑了超越界限对结构动力可靠度的影响,超越界限越小,结构的动力可靠度越小,即破坏概率越大。

Electromagnetic theory ; Sommerfeld type integral ; Uniaxial anisotropic medium ; Expansion of spherical wave function.

电磁理论;索末菲尔德积分;单轴各向异性媒质;球面波展开式

By adopting its complex variable solutions, the stress solutions of dislocation in bi-material on the whole plane were worked out, integration of which along the crack line would lead to the basic stress solutions in Cartesian and polar coordinates system of an bi-material incline crack.

应用两相材料中点位错在全平面的复势函数解,导出了两相材料中点位错在全平面的应力场解,进而将该解沿裂纹线积分得到倾斜裂纹的直角坐标及极坐标应力场基本解,同时利用该基本解退化出单根界面裂纹的直角坐标及极坐标应力场基本解。

Developed two computer software namedSEMA and MMEA, which can calculate the single line mooring force and thestiffness matrix of the whole mooring system. And use these softwares to compute theforce-excursion relationship of a four lines moored Spar platform in different intialhorizontal force conditions, shown the influences of the intial horizontal force to themooring stiffness. 3. The Spar can be simplified as a large diameter, truncated cylinder, we focus onthe diffraction problem in bichromatic incident waves, and the boundary integralequation method is applied.

按照上述理论和方法编制了计算单根系泊索系泊力的SEMA程序和计算系泊刚度的MMEA程序,并利用这两套程序,在不同预张力的初始条件下,对一座四索系泊Spar平台的系泊系统进行了分析,揭示了Spar平台整体系泊力随位移变化的规律, 3、将Spar平台主体简化为大尺度的直立浮动圆柱体,对双频入射波作用下平台主体的绕射问题进行了深入的理论研究,并且采用边界积分方程法,对二阶差频波浪力进行了求解。

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