A universal model for ruled surface's linear cutting with four-axis linkage machine

At present, the ruled surface's multi-axis manufacture is a hot research direction, but its universal mathematic model as key theory problem hasn't been established so far. To solve the problem of ruled surface's manufacture with four-axis linkage machine, we worked out the intersection line between the lateral surface and the horizontal plane of upper-lower guiding device through geometry method, and then established the universal mathematical model to manufacture the lateral surface of the work pieces under the condition that the lower guide is fixed. To verify the exactness of the model, we took the four-edge frustum and triangle-circle frustum as example. The model has universal use value in guiding practical manufacturing.