Analysis of jamming in locating systems of fixtures using minimum norm principle

In this study, the mathematical modeling of jamming occurrence in fixtures is presented using minimum norm principle. The incorporation of this principle eliminates the indeterminacy in equations and results in a non-linear quadratic optimization problem. 2y solving the optimization problem, the contact modes are determined and the jamming occurrence is predicted. The presented model provides a dexterous tool for fixture designer to avoid jamming in their locating plans. This method benefits from less computations, more accurate results (in comparison to the previous studies) and eliminates the pre-known initial contact modes requirements. This method can be integrated in the CAFD applications due to the straight forward systematic approach. Also, it assists the fixture designer in the early stages of fixture design practice when there is no sufficient information about contact modes and behavior. The model capabilities in jamming prediction are evaluated by two case studies: peg in hole and block & palm. The verification procedure is performed by comparing the results to the previous studies.