Based on recent results concerning the occurrence of function cognates in Watt II linkages, it is shown that only 3 geometric parameters are sufficient for defining the kinematic function of simplified planar rack-and-pinion steering linkages. The steering performances of the mechanisms are analytically expressed in terms of these parameters and, by employing an optimization-based synthesis method involving increasing the degree of freedom of the mechanism, the optimum domains are determined. The parameter sets corresponding to these minimum steering error domains are displayed in design charts. These charts aid the automotive engineer in the early stages of conceiving a new steering linkage by providing initial estimates of the basic geometry of the mechanism. They also provide information on two other characteristics of concern, i.e. the minimum pressure angle occurring in the joints and the rack stroke required for maximum turn of the wheels. [S1050-0472(00)00402-5]

1.
Reimpell, J., and Stoll, H., 1996, The Automotive Chassis: Engineering Principles, Arnold Publishers, London.
2.
Visa, I., and Alexandru, P., 1979, “Kinematic Synthesis of Variable Structure with Three Partial Degrees of Mobility,” Proceedings of 5th World Congress on the Theory of Machines and Mechanisms, Montreal, 1, pp. 9–12.
3.
Felzien
,
M. L.
, and
Cronin
,
D. L.
,
1985
, “
Steering Error Optimization of the MacPherson Strut Automotive Front Suspension
,”
Mech. Mach. Theor.
,
20
, pp.
17
26
.
4.
Zarak
,
C. E.
, and
Townsend
,
M. A.
,
1983
, “
Optimal Design of Rack-and-Pinion Steering Linkages
,”
ASME J. Mech. Trans. Auto. Des.
,
105
, pp.
220
226
.
5.
Wolfe
,
W. A.
,
1959
, “
Analytical design of an Ackermann steering linkage
,”
ASME J. Eng. Ind.
,
81
, pp.
11
14
.
6.
Ramachandra
,
R.
,
1968
, “
Steering Linkage Design: A Method of Determining the Configuration of the Steering Linkage so that the Geometry Conforms to Ackermann Principle
,”
Automobile Eng.
,
58
, pp.
31
33
.
7.
Simionescu, P. A., and Smith, M. R., 1997, “A Note on Watt II Function Generators Cognates,” Mech. Mach. Theo., (submitted for publication).
8.
Simionescu, P. A., and Alexandru, P., 1995 “Synthesis of Function Generators Using the Method of Increasing the Degree of Freedom of the Mechanism,” Proceedings of the Ninth World Congress on the Theory of Machines and Mechanisms, Milan, 1, pp. 139–143.
9.
Suh
,
C. H.
, and
Mecklenburg
,
A. W.
,
1973
, “
Optimal Design of Mechanisms with the Use of Matrices and Least Squares
,”
Mech. Mach. Theor.
,
8
, pp.
479
495
.
10.
Alizade
,
R. I.
,
Mohan Rao
,
A. V.
, and
Sandor
,
G. N.
,
1975
, “
Optimum Synthesis of Four-Bar and Offset Slider-Crank Planar and Spatial Mechanism Using the Penalty Function Approach with Inequality and Equality Constraints
,”
ASME J. Eng. Ind.
,
97
, pp.
785
790
.
11.
Brent, R. P., 1972, Algorithms of Minimization without Derivatives, Prentice-Hall, New York.
You do not currently have access to this content.