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OALib Journal期刊
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CONVERSION OF STRAIN TENSOR MATRICES BETWEEN TWO ORTHOGONAL CURVILINEAR COORDINATES
正交曲线坐标系的应变张量转换

Keywords: orthogonal curvilinear coordinate,strain tensor matrix,conversion matrix,conversion of strain tensor,geometric meaning
正交曲线坐标系
,应变张量矩阵,转换矩阵,应变张量转换,几何含义与作用

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Abstract:

It is expounded and proved that all metric tensor matrixes in any orthogonal curvilinear coordinate system are diagonal matrixes,i.e.the moving trihedrons at the point in the coordinate system are rectangular and orthgonal with each other,and then it is found out that the strain tensor matrix in orthgonal curvilinear coordinate system can be calculated with the formula for strain tensor in rectangular coordinate system.At last,the universal method for strain tensor conversion in orthogonal curvilinear coordinate system and the expression of strain tensor matrix conversion between ITRF and WGS84P are given.

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