Generalized robust systems-based theoretical kinematic inverse/regular wedge cam procedures which produce self-centering motion applicable to three-point clamping device design about cylindrical workpieces that vary w...Generalized robust systems-based theoretical kinematic inverse/regular wedge cam procedures which produce self-centering motion applicable to three-point clamping device design about cylindrical workpieces that vary within a prescribed size range are presented.Within such presentment,various parametric(trigonometric,combined loop closure with vector projection/resolution,transformation)and rectangular form(Taylor series approximation,trigonometric substitution&transformation(TS&T),nonlinear ODE)equation methods along with related statics and dynamics are explored.In connection,a simulated unified resultant amplitude method(URAM)is applied for generalization purposes.Moreover,the theoretical framework is validated within the context of a computer-generated model of a mechanism design which demon-strates self-centering over the prescribed design range with negligible to zero error.Furthermore,the static and dynamic analyses are verified through com-puter-aided engineering simulation in conjunction with equilibrium equations and a consideration of various calculus principles.Consequently,the self-centering theoretical formulation coupled with static and dynamic analyses provide for an accurate and generalized quantitative model couched within a holistic systems engineering framework which can be useful for providing state-of-the-art engineering and design optimization of various parameters for developing new and/or improved self-centering gripping devices of the inverse/regular wedge cam type.展开更多
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...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.展开更多
文摘Generalized robust systems-based theoretical kinematic inverse/regular wedge cam procedures which produce self-centering motion applicable to three-point clamping device design about cylindrical workpieces that vary within a prescribed size range are presented.Within such presentment,various parametric(trigonometric,combined loop closure with vector projection/resolution,transformation)and rectangular form(Taylor series approximation,trigonometric substitution&transformation(TS&T),nonlinear ODE)equation methods along with related statics and dynamics are explored.In connection,a simulated unified resultant amplitude method(URAM)is applied for generalization purposes.Moreover,the theoretical framework is validated within the context of a computer-generated model of a mechanism design which demon-strates self-centering over the prescribed design range with negligible to zero error.Furthermore,the static and dynamic analyses are verified through com-puter-aided engineering simulation in conjunction with equilibrium equations and a consideration of various calculus principles.Consequently,the self-centering theoretical formulation coupled with static and dynamic analyses provide for an accurate and generalized quantitative model couched within a holistic systems engineering framework which can be useful for providing state-of-the-art engineering and design optimization of various parameters for developing new and/or improved self-centering gripping devices of the inverse/regular wedge cam type.
文摘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.
