A method, an apparatus and a device for generating a ruled surface machining path, and a medium relate to the field of numerical control machining technologies. The method includes: acquiring each target ruled surface in a three-dimensional diagram of a target workpiece to be machined; generating a mathematical model of each target ruled surface according to each target ruled surface; determining a current machining speed according to the mathematical model and preset machining process parameters; and calculating machining path data corresponding to the target ruled surface according to the current machining speed. The technical problems of large errors and lack of control and compensation on natural defects of “soft knife” machining in the existing ruled surface machining method are solved. The beneficial effects of reducing errors of ruled surface machining and improving control and compensation on the natural defects of “soft knife” machining are obtained.

A 3D production apparatus and method that receives a 3D production file, the 3D production file containing at least one positional command defined based on an implicit representation, the at least one positional command including at least one parameter of the implicit representation. At least one tool command is generated based on the parameters of the implicit representation. A position of a tool is controlled based on the generated at least one tool command, to produce at least a portion of a 3D part corresponding to the 3D production file.

A method for profiling blades of an axial turbomachine includes preparing a geometric model of a blade profile; determining an oscillation mode of the geometric model; calculating a time profile of a position-dependent disruptive pressure in a channel between two adjacent blade profiles over an oscillation period of the oscillation belonging to the oscillation mode, changing the geometric model and determining a different oscillation mode for the modified geometric model; and determining the damping of the oscillation using the disruptive pressure profile calculated previously and accepting the modified geometric model for the case that the damping of the oscillation turns out to be greater than calculated, otherwise repeating the last two steps with another modified geometric model.

Methods and system for computing integrals over geometric domains using moment-base representations for interoperability are disclosed. A first computing device may receive data for geometric and field representations of an object, the geometric representation specifying a geometric domain of the object, and the field representation specifying a spatially varying physical quantity. The first computing device may integrate a predetermined set of basis functions over the geometric domain multiplied by a field to derive a moment-vector for the object, the moment-vector encapsulating an analytic formulation of the geometric domain that is independent of the geometric and field representations. The first computing device may computationally generate quadrature rules for integrating an arbitrary function by applying moment-fitting to the moment-vector. The quadrature rules may be provided to a second computing device, which may integrate the arbitrary function over the geometric domain by applying the quadrature rules, independently of the geometric and field representations.

The systems and methods are provided that can efficiently and accurately generate 3D printed vascular models of a vascular network, including stenotic pulmonary arteries, capable of vascular perfusion. The method may include acquiring image(s) of an anatomy of interest that includes a target area. The method may further include generating a geometric model of a phantom of a vascular network to be bioprinted using the image(s). The phantom may include vascular segment(s), inlet(s), and outlet(s). Each inlet and each outlet may communicate with at least one vascular segment. The method may include generating a geometric model of a bioreactor to be 3D printed based on the geometric model of the phantom using one or more of assembly parameters, phantom parameters, or any combination thereof. The bioreactor model may include inlet(s), outlet(s), a chamber in which the phantom is disposed, an outer housing, and an interface bordering the chamber.

A method of forming an airfoil includes casting the airfoil with an internal cooling circuit and an exterior surface with a positive feature. The exterior surface of the airfoil is scanned with a first probe. A size and a location of the positive feature are identified based on the scan of the exterior surface. A transformation matrix is created with a controller such that the transformation matrix includes toolpath transformation instructions. A transformed set of machine toolpath instructions is created by applying the transformation matrix using the controller to a first set of machine toolpath instructions to align the first set of machine toolpath instructions relative to the positive feature. A contour is then machined into the exterior surface of the airfoil based on the transformed set of machine toolpath instructions.

A method, an apparatus and a device for generating a ruled surface machining path, and a medium relate to the field of numerical control machining technologies. The method includes: acquiring each target ruled surface in a three-dimensional diagram of a target workpiece to be machined; generating a mathematical model of each target ruled surface according to each target ruled surface; determining a current machining speed according to the mathematical model and preset machining process parameters; and calculating machining path data corresponding to the target ruled surface according to the current machining speed. The technical problems of large errors and lack of control and compensation on natural defects of soft knife machining in the existing ruled surface machining method are solved. The beneficial effects of reducing errors of ruled surface machining and improving control and compensation on the natural defects of soft knife machining are obtained.

A tool path generation method includes inputting a first function derived from a polynomial expression including a plurality of coefficients representing a first curved surface, generating a first tool path based on the first function, inputting the first tool path to an NC device of a machine tool and machining a workpiece by relative movement between a tool and a workpiece along the first tool path, measuring the shape of the workpiece at a plurality of measurement points on a surface of the machined workpiece, calculating, for each of the measurement points, a symmetrical position with respect to the first curved surface in a direction perpendicular to the first curved surface as a correction point, obtaining a second function representing a second curved surface based on a series of position data of the correction points, and generating a second tool path based on the second function.

Methods and system for computing integrals over geometric domains using moment-base representations for interoperability are disclosed. A first computing device may receive data for a geometric representation of an object, the geometric representation specifying a geometric domain corresponding to a shape and a contained spatial region of the object. The first computing device may computationally integrate a predetermined set of basis functions over the geometric domain to derive a moment-vector for the object, the moment-vector encapsulating an analytic formulation of the geometric domain that is independent of the geometric representation. The first computing device may then computationally generate quadrature rules for integrating an arbitrary function by applying moment-fitting to the moment-vector. The quadrature rules may be provided to a second computing device. The second computing device may computationally integrate the arbitrary function over the geometric domain by applying the quadrature rules, independently of the geometric representation of the object.

A method for profiling blades of an axial turbomachine includes preparing a geometric model of a blade profile; determining an oscillation mode of the geometric model; calculating a time profile of a position-dependent disruptive pressure in a channel between two adjacent blade profiles over an oscillation period of the oscillation belonging to the oscillation mode, changing the geometric model and determining a different oscillation mode for the modified geometric model; and determining the damping of the oscillation using the disruptive pressure profile calculated previously and accepting the modified geometric model for the case that the damping of the oscillation turns out to be greater than calculated, otherwise repeating the last two steps with another modified geometric model.