Chinese translation for "hankel transform"
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- hankel变换
汉克尔转换
Related Translations:
- Example Sentences:
| 1. | Fast hankel transform algorithm for zero - value 能算零点的快速汉克尔变换 | | 2. | Based on the transform of coordinate and principle of superposition , a generalized integral formula dealing with moving load problem is established . an impulse response function used in the integral is obtained by means of laplace and hankel transform 在论文中,基于线性系统的叠加原理和坐标变换,建立了求解移动荷载作用下粘弹性地基板的动力响应积分公式,把运动荷载问题转化为获取位移脉冲响应函数。 | | 3. | 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。 | | 4. | The numerical calculation simulation shows that the fgb will change its shape upon propagation . ( 5 ) using the quasi - discrete hankel transform ( qdht ) , the fast calculation code simulating the propagation of cylindrical symmetry laser beams passing through high power laser amplifier system is built up for the first time . the code is applied to ( 3 )明准诉散汉克尔变换编制宁旋转对称光束在高功率激光放大系统中传输的快冰汁彝摸拟程序,利用该程序对超高斯光束在多麟光放大系统中的传输和神光红栩橱化光传。 | | 5. | 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。 | | 6. | 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。 | | 7. | Finally , the torsional vibration of a rigid disk resting on the saturated grounds under the general torque is primarily discussed by the means of laplace - hankel transform . the general solutions of the torsional moment , stress and displacement are given and the numerical solutions in special cases are also obtained 最后,本文还采用laplace - hankel联合变换技术初步分析了在一般动扭矩作用下饱和地基上刚性圆板的扭转振动问题,给出了扭矩、应力和位移的通解,并给出了特例情况下的数值解。 | | 8. | The general stress and displacement solutions of non - axisymmetric problems are obtained by hankel transform , then the theoretical solutions of stress and displacement in transversely isotropic elastic half - space under arbitrary loading are put forward by introducing boundary conditions . the homogeneous elastic half - space solutions evolved from the theoretical solutions in the paper are in accord with classical ones . solutions under horizontal and vertical loading can be obtained respectively by specializing arbitrary loading ; by analogy , solutions under other loading can be also obtained 进而引入边界条件得到一般荷载作用下横观各向同性弹性半空间的应力、位移分量理论解,此解经过退化后得到均质弹性半空间理论解与经典解吻合,对一般荷载的特殊化可以分别得到水平荷载下和竖直荷载下的理论解,如此类推,可以得到其它类型荷载的解答。 |
- Similar Words:
- "hankei" Chinese translation, "hankei pearl" Chinese translation, "hankel" Chinese translation, "hankel function" Chinese translation, "hankel function of the second kind" Chinese translation, "hankel transformation" Chinese translation, "hankel变换" Chinese translation, "hankendi" Chinese translation, "hankensbuttel" Chinese translation, "hankeova" Chinese translation
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