hankel变换 meaning in Chinese
hankel transform
Examples
- Based on biot ' s theory , the basic equations and solution conditions were established for the consolidation problem of the composite foundation with single column considering soil - column interactions when load was applied on the top of column only or applied on the top of both column and soil , and the solution for deformations of soil and column were obtained in the forms of laplace and hankel transformation
基于biot理论，分别对在桩顶受外荷载作用和桩土共同受外荷载作用的情况下考虑桩土相互作用的单桩复合地基固结问题建立了基本方程和求解条件，并在laplace变换域和hankel变换域内得到了土体和桩体的变形解答。 - 7 . propagation properties of flattened gaussian , bessel - super - gaussian and laguerre - gaussian beams are studied by using the collins formula in the frequency - domain and hankel transform . the results are compared with those by means of the collins formula in the space - domain , and the advantage of the method is discussed
用频域collins公式和hankel变换研究了平顶高斯光束、贝塞耳?超高斯光束以及拉盖尔?高斯光束的传输特性，并与空域collins公式计算结果作了比较，同时讨论了该方法的优点。 - Using the hankel transform , the state vector equations are reduced to a set of ordinary differential equations . according to the theory of ordinary differential equations and the cayley - hamilton theorem , an analytical solution of the problem is presented in the form of the product of initial state vector and transfer matrix , which is given for the four distinct eigenvalues each . applications of the solutions are discussed
利用hankel变换，将状态变量方程转化为一组常微分方程组；进而根据常微分方程组解的理论和cayley - hamilton定理，得到了以状态变量和传递矩阵乘积表示的单层压电压磁弹性材料的解析解；并讨论了4种不同特征根的情况以及解的应用。 - The main work includes : for the torsional vibrations of a rigid disk on saturated media , first , the dynamic governing equations are solved by the use of hankel transform and the general solutions in the hankel transform fields are formulated . then , considering the mixed boundary - value condition , the dual integral equations of the torsional vibrations of a rigid disk on saturated grounds are obtained , which can be reduced to the fredholm integral equations of the second kind and solved by numerical procedures . consequently , the dynamic compliance coefficient curves and the torsional angle amplitude curves versus the dimensionless frequency are presented and contrasted to that of the elastic one
在前人研究的基础上，本文基于陈龙珠等曾提出的一组实用饱和土波动方程，用解析或半解析的方法首次较系统而深入地研究了饱和半空间地基与基础的扭转振动问题，主要工作有：对于饱和地基上刚性圆板的扭转振动，作者首先采用hankel变换求解了动力控制方程，得到了该控制方程在hankel变换域内的通解，然后由混合边值条件建立了饱和地基上刚性基础扭转振动时的对偶积分方程，并将其化为易于数值求解的第二类fredholm积分方程，用数值方法计算了基础的动柔度和扭转角幅值与振动频率的关系曲线，并将其与单相弹性介质情况进行了对比分析。 - 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。