TY - GEN
T1 - Stochastic tolerance synthesis for globoidal cam mechanisms with the least manufacturing cost
AU - Cheng, Hong Yih
AU - Yan, Hong Sen
N1 - Publisher Copyright:
© 1998 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1998
Y1 - 1998
N2 - This paper proposes a systematic process to analyze the mechanical error and to synthesize the tolerances for individual dimensions of spatial cam mechanisms. The mathematical expressions of geometry surface of the cam are determined by the generating method. Based on these expressions and Taylor's series expansion, the output variables are expressed by sensitivity factors and the mean of design variables. And, the mechanical error is also calculated according to the measured coordinate data on the manufactured cam surface and misalignments. By applying statistics and cost-tolerance function, the objective function subjected to the variance of the assembly tolerance is established. Then, the Lagrange multiplier is involved to synthesize the optimum tolerances with the least manufacturing cost. A numerical example is given.
AB - This paper proposes a systematic process to analyze the mechanical error and to synthesize the tolerances for individual dimensions of spatial cam mechanisms. The mathematical expressions of geometry surface of the cam are determined by the generating method. Based on these expressions and Taylor's series expansion, the output variables are expressed by sensitivity factors and the mean of design variables. And, the mechanical error is also calculated according to the measured coordinate data on the manufactured cam surface and misalignments. By applying statistics and cost-tolerance function, the objective function subjected to the variance of the assembly tolerance is established. Then, the Lagrange multiplier is involved to synthesize the optimum tolerances with the least manufacturing cost. A numerical example is given.
UR - http://www.scopus.com/inward/record.url?scp=85100927118&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85100927118&partnerID=8YFLogxK
U2 - 10.1115/DETC98/MECH-5822
DO - 10.1115/DETC98/MECH-5822
M3 - Conference contribution
AN - SCOPUS:85100927118
T3 - Proceedings of the ASME Design Engineering Technical Conference
BT - 25th Biennial Mechanisms Conference
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1998 Design Engineering Technical Conferences, DETC 1998
Y2 - 13 September 1998 through 16 September 1998
ER -