Stochastic tolerance synthesis for globoidal cam mechanisms with the least manufacturing cost

Hong Yih Cheng; Hong Sen Yan

doi:10.1115/DETC98/MECH-5822

Stochastic tolerance synthesis for globoidal cam mechanisms with the least manufacturing cost

Hong Yih Cheng
, Hong Sen Yan

Department of Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

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.

Original language	English
Title of host publication	25th Biennial Mechanisms Conference
Publisher	American Society of Mechanical Engineers (ASME)
ISBN (Electronic)	9780791880302
DOIs	https://doi.org/10.1115/DETC98/MECH-5822
Publication status	Published - 1998
Event	ASME 1998 Design Engineering Technical Conferences, DETC 1998 - Atlanta, United States Duration: 1998 Sept 13 → 1998 Sept 16

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	1A-1998

Conference

Conference	ASME 1998 Design Engineering Technical Conferences, DETC 1998
Country/Territory	United States
City	Atlanta
Period	98-09-13 → 98-09-16

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 9 Industry, Innovation, and Infrastructure

All Science Journal Classification (ASJC) codes

Mechanical Engineering
Computer Graphics and Computer-Aided Design
Computer Science Applications
Modelling and Simulation

Access to Document

10.1115/DETC98/MECH-5822

Cite this

@inproceedings{8074afcfaae74601b3360a8e58fbe470,

title = "Stochastic tolerance synthesis for globoidal cam mechanisms with the least manufacturing cost",

abstract = "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.",

author = "Cheng, \{Hong Yih\} and Yan, \{Hong Sen\}",

note = "Publisher Copyright: {\textcopyright} 1998 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 1998 Design Engineering Technical Conferences, DETC 1998 ; Conference date: 13-09-1998 Through 16-09-1998",

year = "1998",

doi = "10.1115/DETC98/MECH-5822",

language = "English",

series = "Proceedings of the ASME Design Engineering Technical Conference",

publisher = "American Society of Mechanical Engineers (ASME)",

booktitle = "25th Biennial Mechanisms Conference",

}

Cheng, HY & Yan, HS 1998, Stochastic tolerance synthesis for globoidal cam mechanisms with the least manufacturing cost. in 25th Biennial Mechanisms Conference. Proceedings of the ASME Design Engineering Technical Conference, vol. 1A-1998, American Society of Mechanical Engineers (ASME), ASME 1998 Design Engineering Technical Conferences, DETC 1998, Atlanta, United States, 98-09-13. https://doi.org/10.1115/DETC98/MECH-5822

Stochastic tolerance synthesis for globoidal cam mechanisms with the least manufacturing cost. / Cheng, Hong Yih; Yan, Hong Sen.
25th Biennial Mechanisms Conference. American Society of Mechanical Engineers (ASME), 1998. (Proceedings of the ASME Design Engineering Technical Conference; Vol. 1A-1998).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Stochastic tolerance synthesis for globoidal cam mechanisms with the least manufacturing cost

AU - Cheng, Hong Yih

AU - Yan, Hong Sen

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 - https://www.scopus.com/pages/publications/85100927118

UR - https://www.scopus.com/pages/publications/85100927118#tab=citedBy

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 -

Stochastic tolerance synthesis for globoidal cam mechanisms with the least manufacturing cost

Abstract

Publication series

Conference

UN SDGs

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this