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中介曲面法处理G~2兼容性约束条件
引用本文:黄正东. 中介曲面法处理G~2兼容性约束条件[J]. 华中科技大学学报(自然科学版), 1998, 0(2)
作者姓名:黄正东
作者单位:华中理工大学机械科学与工程学院!430074
摘    要:提出一种曲面拼接中分离二阶几何连续兼容性约束的新方法.与直接解约束方程的方法不同,这里使顶点周围曲面片的法向投影与顶点处某一中介曲面具有若干阶逼近,就能分离法向约束,再通过拼接函数的端点值及端点导数的选取使约束的切平面投影得到满足.

关 键 词:几何连续性  拼接曲面  兼容性条件  约束分离

Handling of G~2 Compatibility Constraint Conditions Using intermediary Surface Method
Abstract:A new method, the intermediary surface method, to separate the G2 compatibility constraint conditions at the composite surface vertex is presented. Unlike the method of solving the constraint equations directly, the Intermediary surface method makes the normal projections of the surface slices surrounding the vertex have certain order of approximation to an intermediary surface at the vertex. The constraints in normal direction can then be separated, and the constraints in the tangent plane can be satisfied by proper selection of the end-point values and end-point derivatives of the composite functions.
Keywords:geometrical continuity  composite surface  compatibility condition  constraint separation
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