The paper presents a new procedure to design a two-pulley synchronous belt transmission connecting, with no belt tensioner, two parallel-axis shafts with a variable velocity ratio. The procedure takes into account the limited number of choices for pitch and length of off-the-shelf synchronous belts, which translates into the need of fine-adjusting either the center distance or the law of motion. Different from other approaches reported in the technical literature, the suggested method is based on the numerical solution of a set of functional equations. A numerical example shows the application of the proposed method to a case study.

1.
Wunderlich
,
W.
, and
Zenow
,
P.
, 1975, “
Contribution to the Geometry of Elliptic Gears
,”
Mech. Mach. Theory
0094-114X,
10
(
4
), pp.
273
278
.
2.
Hoschek
,
J.
, 1982, “
Konstruktion von Kettengetrieben mit veränderlicher Übersetzung mit Hilfe von Bézier-Kurven
,”
Forsch. Ingenieurwes.
0015-7899,
48
(
3
), pp.
81
87
.
3.
Freudenstein
,
F.
, and
Chen
,
C. K.
, 1991, “
Variable-Ratio Chain Drives With Noncircular Sprockets and Minimum Slack-Theory and Application
,”
ASME J. Mech. Des.
1050-0472,
113
(
3
), pp.
253
262
.
4.
Freudenstein
,
F.
, 1989, “
Noncircular Drive
,” U.S. Patent No. 4,865,577.
5.
Cao
,
L. X.
, and
Liu
,
J.
, 2002, “
Research on the Mapping Models and Designing Methods of Variable-Ratio Chain/Belt Drives
,”
Mech. Mach. Theory
0094-114X,
37
, pp.
955
970
.
6.
Chironis
,
N. P.
, and
Sclater
,
N.
, 1991,
Mechanisms and Mechanical Devices Sourcebook
,
McGraw-Hill
,
New York
, pp.
277
278
.
7.
Aczel
,
J.
, and
Dhombres
,
J.
, 1989,
Functional Equations in Several Variables
,
Cambridge University Press
,
Cambridge, England
.
8.
Castillo
,
E.
, and
Ruiz-Cobo
,
M. R.
, 1992,
Functional Equations and Modeling in Science and Engineering
,
Marcel Dekker
,
New York
.
9.
Korn
,
G. A.
, and
Korn
,
T. M.
, 1968,
Mathematical Handbook for Scientists and Engineers
,
McGraw-Hill
,
New York
, pp.
564
565
.
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