3 results about "Homogeneous transformation" patented technology

This invention discloses a comprehensive error decoupling compensation method for a five-axis CNC polishing machine, comprising: 1. establishing homogeneous transformation matrices for the workpiece kinematic chain and tool kinematic chain of the five-axis polishing machine under ideal and error conditions; 2. establishing a comprehensive error transformation matrix between the coordinate systems of each kinematic pair of the five-axis polishing machine based on the homogeneous transformation matrix; 3. spatially decoupling the comprehensive error transformation matrix of the five-axis polishing machine based on the small error compensation motion assumption, and establishing a comprehensive error compensation model for the five-axis polishing machine to achieve comprehensive error compensation. This invention, through kinematic analysis of a five-axis polishing machine, uses the homogeneous coordinate transformation method to establish a comprehensive error transformation matrix between the coordinate systems of each kinematic pair of the machine tool, spatially decoupling the position and direction error compensation of each motion axis of the five-axis polishing machine, and establishing a comprehensive error compensation model for the five-axis polishing machine, providing a theoretical basis for real-time comprehensive error compensation of a five-axis CNC polishing machine.

This invention provides a method, system, device, and medium for kinematic transformation of a five-axis machine tool using digital twin technology, belonging to the interdisciplinary field of CNC technology and digital twin technology. The method includes: acquiring axis parameters from the five-axis machine tool controller; constructing a unified five-axis parameter set containing axis type, axis reference point, and direction vector; constructing a hierarchical homogeneous transformation chain in the machine tool base coordinate system based on this parameter set to achieve a forward kinematic transformation from the machine coordinate system to the workpiece coordinate system; and inversely solving the axis position vector from the tool position command in the workpiece coordinate system based on the unified parameter set and transformation chain, and mapping it back to the controller coordinates. This invention, employing the aforementioned method, system, device, and medium for kinematic transformation of a five-axis machine tool using digital twin technology, solves the problems of poor model reusability and inconsistent virtual-real mapping caused by differences in machine tool structure and the diversity of CNC systems. It achieves universal reversible kinematic transformation across platforms and machine types, improving the engineering applicability and deployment efficiency of the digital twin model.

This application discloses a method, device, equipment, medium, and product for deformation monitoring of linear engineering components, relating to the field of equipment monitoring technology. The method includes acquiring the included angle between two planes collected by a displacement data measuring device; converting the two plane angles into a central angle and a direction angle in a three-dimensional spatial coordinate system; constructing a homogeneous transformation matrix for flexible segments using the central angle and direction angle of each flexible segment and the length of the flexible segment in the three-dimensional spatial coordinate system, and constructing a homogeneous transformation matrix for rigid segments using a fixed length; sequentially performing chain multiplication on the homogeneous transformation matrices of the flexible and rigid segments in a global coordinate system, and obtaining a spatial position model of each monitoring point in the global coordinate system through segment-by-segment coordinate recursion; and monitoring the displacement deformation of the linear engineering component based on the spatial position model of each monitoring point in the global coordinate system to obtain the monitoring results. This application can provide accurate and reliable data support for the maintenance of linear engineering components.