| 球面上的块体系统非连续变形反分析法 |
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| 引用本文： | 吴云,王辉,周硕愚,施顺英. 球面上的块体系统非连续变形反分析法[J]. 大地测量与地球动力学, 2002, 22(3): 15-18 |
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| 作者姓名： | 吴云 王辉 周硕愚 施顺英 |
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| 作者单位： | 中国地震局地震研究所,武汉,430071 |
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| 基金项目： | 国家自然基金 (4 0 0 740 2 4)，国家 973项目《大陆强震机理与预测》子课题 (G19980 40 70 3 )课题资助 |
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| 摘 要： | 根据球坐标系下弹性力学的几何方程，推导出球面上块体的位移方程。在球面块体边界均由大圆弧段构成的假设下，导出了块体间距离的计算公式，给出了排除块体间相互入侵和保持合理接触的运动学约束条件及其惩罚函数形式。按最小二乘原理，建立了球面坐标系下的法方程组及其系数矩阵的具体形式。最后，对入侵判定进行了讨论并提出了解决方法。
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| 关 键 词： | 不连续变形分析方法 球坐标系 地壳运动 弹性力学 DDA 最小二乘法 |
| 文章编号： | 1671-5942(2002)03-0015-04 |
| 修稿时间： | 2002-03-02 |
INVERSE DDA OF BLOCK-SYSTEM ON SPHERE COORDINATE |
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| Wu Yun,Wang Hui,Zhou Shuoyu and Shi Shunying,. INVERSE DDA OF BLOCK-SYSTEM ON SPHERE COORDINATE[J]. Journal of Geodesy and Geodynamics, 2002, 22(3): 15-18 |
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| Authors: | Wu Yun Wang Hui Zhou Shuoyu Shi Shunying |
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| Abstract: | In accordance with the geometric equations of elasticity mechanics in a spherical coordinate system,the displacement equation of blocks on the spherical surface,which consists of 6 deformation parameters,is developed.On the supposition that all bourdaries of blocks on the spherical surface are composed of the prime arcs,the formula for calculating the distance betweem blocks is derived and the kinematic constraint and the penalty function for removing the mutual penetration and keepping reasonable contact between blocks are deve loped as well. Acoording to the least square principle the normal equations and its coefficient matrix are performed.Finally,the dicision of penetration between block is also discussed and the adjudgement method is also proposed. |
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| Keywords: | discontinuous deformation analysis sphere coordinate system current crust movement |
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