参数积分

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one. The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

This kind of non-smooth and nonlinear system is smoothed in this paper by using an infinitely differentiable real function instead of the Heaveside function.

积分上限取值对碰摩转子系统响应的影响还与系统的阻尼、不平衡参数、重力参数、碰摩刚度等参数有关。

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

By introducing a weight function, a best extension of Hilbert integral inequlity and the reverse form are given. The constant factor of the two inequalities is proved to be the best.

引入单参数及估算权函数，给出一个核为－λ齐次的新的Hilbert型积分不等式及与之对应的逆向积分不等式，并证明这两个不等式的常数因子是最佳的。

The shear moduli in two directions were assumed to vary in terms with hyperbolic function .

假设剪切模量沿着梯度方向都按双曲函数变化，采用积分变换-对偶积分方程方法，求得了裂纹尖端应力场和应力强度因子，并研究了材料不均匀参数对应力强度因子的影响。

The formula was established about calculating design parameters and technological parameters of ideal strip and bent strip in the period of forming. The thesis presented how to calculate the deformed area length and contact are radius of contact deforming between two elastic bodies on condition of the friction. The calculating formula of pinch force about plate-strip pinch mill was given and the results were analyzed that friction coefficient and radius of pinch rolls are very important for determining pinch force. Moreover, the rule of deforming and stress distribution of different 〓 ratio were gained on condition that the deforming was considered to be non-uniform distribution in the gap. The differential equations were got that calculate the displacements of large deflection of elastic cantilever rectangle plate with fixed end and the formula of the Finite Strip Method was conducted to study the regularity of mid-plane displacements, deformation and stresses for elastic-plastic large deflection bend of cantilever parallelogram plate with fixed or slidable end by integrating Prandtl-Reuss equation.

建立了一套完整的设计参数计算公式和在成型过程中理想带钢或具有月牙弯带钢的工艺参数的调整公式；在考虑摩擦力的条件下，对两弹性体接触变形过程中的接触变形区长度和接触弧半径用位移解法进行了研究，推导了板带递送机的递送力计算公式，从而得知在递送机设计过程中，应选择适当摩擦系数和辊身直径；另外，还从辊缝内带钢实际变形出发，分析了对于不同的〓值，带钢的变形规律及应力分布状况；建立了固定端悬臂矩形板弹性大挠度弯曲变形的控制方程，并且在对Prandtl-Reuss方程的积分处理的基础上，导出了固定端和滑动端悬臂平行四边形薄板的弹塑性大挠度的中面伸展位移、变形和应力的有限条元法公式，编写了Fortran语言计算程序，在各种参数条件下，对螺旋焊管成型过程变形规律进行了全面的分析研究，从而为螺旋焊管的生产和进一步的改进提供了理论依据。

In accord with the characteristics of singular integrals in boundary element method for solving problems of thick plates on two parameter foundation,all formulas for calculating singular integrals are set up by selecting the displacements and stresses which satisfy the governing differential equations in this paper,on the principle of virtual energy.

根据双参数地基上厚板弯曲问题边界单元法中所遇奇异积分的特点，选取满足该问题微分控制方程的位移及内力场，建立了全部奇异积分的计算公式，有效地解决了边界元法在该问题应用中高阶奇异积分的计算问题

By proximate and ultimate analysis, petrographical analysis, Scanning Electronic Microscope analysis, Mercury Porosimeter analysis, TG analysis and pilot scale fluidized bed combustion experiment, the combustion characteristics and particle properties of Longyan coal with different lithotype were studied, including the surface figure and pore structure of particle, the maceral content, the ignition and burnout temperature, and the reactivity, ect.

利用热天平实验测试数据，分别采用Freeman-Carroll微分法、改良Coats-Redfern积分法和Flynn-Wall-Ozawa法等热分析手段求解4种无烟煤的燃烧动力学参数。研究不同热天平试验工况、不同处理方法和不同拟合区间等对求解结果的影响，分析用不同热分析方法求解反应动力学参数的可靠性并计算得到了几种典型福建无烟煤的燃烧反应动力学参数；再次是研究流化床燃烧中无烟煤焦的反应性随燃尽度的变化。

In the fourth paragraph, how the theory of the damping to forging hammer foundation advances at home and abroad, the research and application of the implement for damping to forging hammer, the structure of damping to forging hammer and the calculation methods for forging hammer foundation vibration system, which are used at home nowadays, are particularly introduced.In the fifth paragraph, aiming at direct damping under anvil block of forging hammer, the author bases a mechanics model of two-degree with damping, and optimizes the vibration parameters both in frequency field and in time field, then finds out the new simple method of optimizing the vibration parameters of the damping device under anvil block of forging hammer.

第五章针对锻锤砧下直接支承式减振基础，建立了锻锤减振系统的二自由度有阻尼振动力学模型，然后用傅立叶变换法求出振动传递率的频率关系，用直接积分法求出砧座和基础位移的时域响应，并分别对频域函数和时域函数进行参数优化，最终建立起频率函数—时域函数—优化参数间的相互关系，从而找到了锻锤砧下隔振器参数优化的简便新方法。

The result showed that granule number,granule area,ratio of granule area and cell area,granule integral optical density in enzyme reactant with 3.1J/cm2 of He-Ne laser irradiation were not different w...

结果表明，3.1J／cm2辐照组的酶反应物颗粒数目、颗粒面积、颗粒面积与细胞面积比值和颗粒积分光密度4项参数值与对照组比较无明显变化；9.4J／cm2辐照组的四项参数值明显增高；25.0J／cm2辐照组的四项参数值进一步增高；49.gJ／cm2辐照组的四项参数值较25.0J／cm2辐照组明显降低。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。