A Kind of Bivariate Spline Space Over Rectangular Partition and Pure Bending of Thin Plate

WANG Ren-hong; CHANG Jin-cai

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WANG Ren-hong, CHANG Jin-cai. A Kind of Bivariate Spline Space Over Rectangular Partition and Pure Bending of Thin Plate[J]. Applied Mathematics and Mechanics, 2007, 28(7): 861-868.

Citation:

WANG Ren-hong, CHANG Jin-cai. A Kind of Bivariate Spline Space Over Rectangular Partition and Pure Bending of Thin Plate[J]. Applied Mathematics and Mechanics, 2007, 28(7): 861-868.

Citation:

WANG Ren-hong, CHANG Jin-cai. A Kind of Bivariate Spline Space Over Rectangular Partition and Pure Bending of Thin Plate[J]. Applied Mathematics and Mechanics, 2007, 28(7): 861-868.

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A Kind of Bivariate Spline Space Over Rectangular Partition and Pure Bending of Thin Plate

WANG Ren-hong¹,
CHANG Jin-cai^1,2

1.
Institute of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, P. R. China;

Received Date: 2006-09-04
Rev Recd Date: 2007-05-23
Publish Date: 2007-07-15

Abstract

Abstract

The mechanical background of the bivariate spline space of degree 2 and smoothness 1 on rectangular partition was presented constructively. Making use of mechanical analysis method, by acting couples along the interior edges with suitable evaluations, the deflection surface was divided into piecewise form, therefore, the relation between a class of bivariate splines on rectangular partition and the pure bending of thin plate was established. In addition, the interpretation of smoothing cofactor and conformality condition from the mechanical point of view was given. Furthermore, by introducing twisting moments, the mechanical background of any spline belonging to the above space was set up.
- smoothing cofactor,
- conformality condition,
- pure bending of thin plate

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References(9)

References

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