| 1. | A general solution of anisotropic thin plate in bending problem
各向异性矩形薄板弯曲问题的一般解 |
| 2. | The integral constants in general solution can be determined by boundary conditions
一般解中的积分常数可由边界条件来决定。 |
| 3. | A general solution of partial differential equation for transverse displacement function of anisotropic rectangular plates in bending was established in this paper
摘要建立了各向异性矩形板弯曲的横向位移函数偏微分方程的一般解。 |
| 4. | In this paper , the method of solution in the vector format for a kind of dual singular integral equation with two convolution kernels is discussed , and the general explicit solution and the related conditions of solvability are obtained
摘要本文对文[ 2 ]中的含两个卷积核的对偶型奇异积分方程给出了向量形式求解方法，并且给出了一般解的显式及相应的可解条件。 |
| 5. | In chapter 1 , we briefly reviewed the risk theory and its development . and the significance about this paper was expressed . in chapter 2 , we introduced classical risk model . in which , making this risk process into a strong markovian process is the preparation of deriving the main results . chapter 3 is the main body of the paper , we derived the results about general ruin probability in a kind of continuous time risk model with deficit - time geometry distribution of claim inter - occurrence time . the martingale approach is a good procedure to get the expression of ruin probability about a class of continuous time risk models with deficit - time geometry distribution of claim inter - occurrence time . we also take advantage of change of measure idea from it
第二章介绍了经典风险模型，其中用逐段决定马尔可夫过程理论及补充变量技巧，使一类风险模型的盈余过程成为齐次强马尔可夫过程。第三章作为本文的主体部分，在索赔到达间隔服从亏时几何分布的连续时间风险模型中，索赔额分布为一般分布，它的破产概率可以利用pdmp中的广义生成算子得出鞅，通过调节系数的选择以及在相应测度下的测度变换，使得破产概率的一般解可以表示出来。 |
| 6. | A general solution to the schrsdinger equation about the motion of the entangled atom of two cases is obtained . subsequently , the wave functions in momentum and coordinate spaces are given according to the atoms " ini initial nd next , the dynamic properties of the two - atom entangled system are manifested
我们首先写出两种情况下系统的哈密顿量并解出薛定谔方程，可得到两原子纠缠系统波函数的一般解，然后根据原子的初始条件得到了波函数在动量表象和坐标表象的特解。 |
| 7. | Furthermore , the dual integral equations can be reduced to the fredholm integral equations of the second kind and solved by numerical procedure . at the end of this chapter , the numerical analysis for dynamic interaction characters of saturated half - space / layered ground and circular plate is evaluated . finally , the solutions for 3 - d dynamic responding of elastic rect
基于横观各向同性饱和半空间/有限层地基非轴对称波动方程的通解，按混合边值问题建立饱和地基与弹性圆板非轴对称动力相互作用的积分方程，求解积分方程后得到横观各向同性饱和地基上圆板非轴对称动力响应的一般解，并分析了饱和地基上圆薄板和中厚板振动的若干特征。 |
| 8. | Fourthly , the solutions for non - axisymmetical dynamic responding of elastic circular plate ( thin and thick plate ) rested on transversely isotropic saturated half - space / layered ground subjected to arbitrary harmonic loading are presented . under the contact conditions , the problem leads to a pair of dual integral equations which describs the mixed boundary - value problem
首先建立直角坐标系下波动问题的状态方程，经双重fo吐er变换求解状态方程后得到传递矩阵:利用递矩阵给出直角坐标系下层状横观各向同性饱和地基在任意分布简谐荷载作用下稳态动力响应的一般解。 |
| 9. | Using the displacement functions and the technique of double fourier transform , the governing differential equations for transversely isotropic saturated poroelastic media are easily solved and , the fourier transformed stress and displacement solutions coorespondingly are obtained . then , under the boundary conditions , the analytical solutions for half - space are presented
借助位移函数及双重fourier变换，研究了直角坐标系下横观各向同性饱和土的动力响应问题，得到了饱和半空间体在任意分布的表面谐振荷载作用下稳态响应的一般解。 |
| 10. | In the paper , consolidation effects on stress and displacement distributions are n ' t taken into consideration due to supposing that foundation soil consolidation has completed after surcharging preloading . based on the inherent anisotropy and induced anisotropy of foundation soil body , transversely isotropic elastic constitutive relations are adopted to simulate half - space clastic foundation body . the relations between displacement and displacement function are proposed by extending t , ove displacement function to transversely isotropic elastic half - space
本文假设地基土体是经过超载预压处理过的，固结已经完成，不考虑固结对应力、位移场分布的影响；基于地基土存在着固有各向异性和诱发各向异性，在前人的基础上对e地基模型进行修正，采用横观各向同性弹性模型模拟无限弹性半空间，将love位移函数推广到半空间，得到位移与位移函数之间的关系，然后经过hankel变换得到非轴对称问题位移、应力的一般解。 |
