Location method of thin wall curve part based on bounding box in multi-point array flexible tool
A technology of flexible tooling and positioning method, applied in the direction of measuring devices, instruments, etc., to achieve the effect of simple method, reduced number and easy to understand
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[0023] Let the multi-point array flexible tooling coordinate system be , the coordinate system of the thin-walled surface part is , then the positioning process of thin-walled curved surface parts in the flexible tooling coordinate system can be described by the transformation matrix T, which can be specifically written as:
[0024]
[0025] In the formula, T i (i=1,2) and T 3 Respectively expressed as:
[0026]
[0027]
[0028] In the formula, the letter c represents the cos function, the letter s represents the sin function, T 1 Indicates the pre-positioning rotation matrix, T 2 Represents the fine positioning rotation matrix, T 3 Represents the translation matrix. Specifically involved in the matrix solution method and positioning process in accordance with the following steps:
[0029] 1. Construct parametric equations for thin-walled curved parts
[0030] The shape of thin-walled surface parts is described by B-spline surface, and its expression is:
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