Dual Numbers Approach in Multiaxis Machines Error Modeling

Multiaxis machines error modeling is set in the context of modern differential geometry and linear algebra. We apply special classes of matrices over dual numbers and propose a generalization of such concept by means of general Weil algebras. We show that the classification of the geometric errors follows directly from the algebraic properties of the matrices over dual numbers and thus the calculus over the dual numbers is the proper tool for the methodology of multiaxis machines error modeling.

USING ADAMS FOR MECHANISM SIMULATION APPLICATION OF MULTIAXIS MACHINES

The aim of this paper is to implement the efficiency of the new model multi-axis CNC machine by using a visual solid mechanism simulation methodology design. The advantage of this simulation design is to activate each running procedure simultaneously when a transient motion occurs in the mechanism system. Using the simplified elements of a conceptual dynamic mechanism simulated by ADAMS we will demonstrate the feasibility in design through kinematics analysis of the new five axis CNC model.

Sensing of Motion Related Errors in Multiaxis Machines

The aim of this paper is the formulation of the principles for the development of optical measurement systems for the measurement of motion related errors in multiaxis machines. Basic system configurations for rotary and prismatic joints are discussed, and their governing linearized equations derived in explicit analytical form.