Abstract
A work-holding configuration analysis procedure is developed for the verification of fixtures. First, the finite element analysis (FEA) approach is used to estimate the dynamic stress-strain behavior of a work-piece when machining forces and clamping forces are applied. Then, a mathematical optimization model is formulated to minimize the deformation of a workpiece under the corresponding force effects for a feasible configuration. The optimization model consists of several constraints to ensure the rigidity and stability of work-holding and to guarantee the precision and accuracy of machining results. FEA and optimization modeling are run iteratively to converge on an accurate result that can ensure minimal deformation and maximal work accuracy. This system integrates the existing mechanical computer-aided engineering (MCAE) technique and the mathematical programming approach. An example is given to demonstrate the operational procedure of the analytical model.