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固体中脉冲激光激发声表面波的理论研究   总被引:4,自引:0,他引:4       下载免费PDF全文
本文运用本征函数展开的方法对固体材料中脉冲激光激发的声表面波进行了理论研究,在考虑热弹激发的条件下,利用三维的轴对称模型,得到了脉冲激光光源的脉冲宽度以及聚焦半径对固体材料中声表面波信号的时域及频域的影响,对进行超短脉冲激光激发超声的研究具有指导意义。  相似文献
2.
Using multi-group diffusion equation and eigenfunction expansion method, the results for time- and energy-dependent fast neutron spectra are reported for an infinite iron assembly. The nuclear cross-sections used are taken from vitamin-C nuclear data file. The results are presented at short times (0–50 nsec) as well as at large times (50–500 nsec) after the injection of a mono-energetic pulse of 14.47 MeV. Following the pulse, the time behaviour of neutrons corresponding to different energy groups has been discussed. The values of mean slowing down times and of most probable times have been obtained for each energy group.  相似文献
3.
范孟豹  尹亚丹  曹丙花 《物理学报》2012,61(8):88105-088105
针对金属管材电涡流检测线圈阻抗的理论计算问题,通过施加磁绝缘边界条件, 应用分离变量法和Cheng矩阵法建立了内穿式和外穿式线圈阻抗解析模型.因模型含有与虚宗量Bessel函数有关的积分, 通过研究函数特性,提出基于高斯积分算法的数值计算方法.以铜管管壁减薄为例进行仿真研究,并与Dodd模型、 有限元模型进行了对比.比较表明,三种方法的仿真结果基本一致,验证了所建立模型的正确性.与传统的Dodd模型、 有限元模型相比,所建立的模型具有效率高、精度调整方便等优点.  相似文献
4.
黄俊杰  阿拉坦仓  王华 《中国物理 B》2010,19(12):120201-120201
This paper deals with off-diagonal operator matrices and their applications in elasticity theory.Two kinds of completeness of the system of eigenvectors are proven,in terms of those of the compositions of two block operators in the off-diagonal operator matrices.Using these results,the double eigenfunction expansion method for solving upper triangular matrix differential systems is proposed.Moreover,we apply the method to the two-dimensional elasticity problem and the problem of bending of rectangular thin plates on elastic foundation.  相似文献
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The free vibration problem of rectangular thin plates is rewritten as a new upper triangular matrix differential system. For the associated operator matrix, we find that the two diagonal block operators are Hamiltonian. Moreover, the existence and completeness of normed symplectic orthogonal eigenfunction systems of these two block operators are demonstrated. Based on the completeness, the general solution of the free vibration of rectangular thin plates is given by double symplectie eigenfunction expansion method.  相似文献
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