TITLE:
Robust Sensitivity Design Optimization to Generalized Systems-Based Theoretical Kinematic Inverse/Regular Wedge Cam Theory for Three-Point Diametral Self-Centering Motion
AUTHORS:
Shawn P. Guillory, Alan A. Barhorst, Jim Lee, Raju Gottumukkala, Jonathan R. Raush, Terrence L. Chambers
KEYWORDS:
Self-Centering Wedge Cam Mechanism, Clamping Force Convergence & Stabilization, Robust Design, Robust Design Optimization, Nonlinear Programming, Concurrent Engineering
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.4,
April
27,
2025
ABSTRACT: Techniques of robust sensitivity design optimization involving nonlinear interior point algorithms and/or second derivatives are utilized in concert with recently developed generalized robust systems-based theoretical kinematic inverse/regular wedge cam procedures for producing self-centering motion applicable to three-point clamping device design about cylindrical workpieces that vary within a prescribed size range. With the use of the FindMinimum function in Wolfram Mathematica for exploring the specific optimization application to associated product designs in conjunction with computer-aided engineering validation efforts, significantly novel results are revealed related to improving force convergence and stabilization between grippers across the full diametral surface range (on the order of 15 to 10 times respectively) which is highly beneficial for clamping force and contact stress as well as dynamic characteristics including vibration among others. Essentially, the utilized systems-based quantitative model for inverse/regular wedge cam design coupled with robust sensitivity design optimization automatically develops and locates the perfect cam in connection to the overall mechanism system design layout within context of the desired self-centering function.