In this paper, the design of a two degree-of-freedom leg mechanism is accomplished by a two-stage optimization process. In the first stage, leg dimensions are optimized with respect to three design objectives: minimize (i) peak crank torque for an entire walking cycle, (ii) leg size, and (iii) vertical actuating force. Following the optimization of leg dimensions, in the second stage, spring elements with various placement configurations are considered for further reduction of the actuating force and crank torque. Several tradeoff solutions are obtained and a comparison between various spring configurations is made. It is shown that the inclusion of spring elements can significantly reduce the actuating force and crank torque.
Issue Section:
Research Papers
Topics:
Pareto optimization,
Springs,
Torque,
Design,
Dimensions,
Optimization,
Cycles,
Degrees of freedom,
Tradeoffs
1.
Alexander
R. M.
1990
, “Three Uses for Springs in Legged Locomotion
,” The International Journal of Robotics Research
, Vol. 9
, No. 2
, pp. 53
–61
.2.
Dhandapani
S.
Ogot
M. M.
1994
, “Modeling of a Leg System to Illustrate the Feasibility of Energy Recovery in Walking Machines
,” Advances in Design Automation
, DE-Vol. 69-2
, ASME Pub., pp. 429
–436
.3.
Fan, M. K. H., Wang, L. S., Koninckx, J., and Tits, A. L., 1990, CONSOLE-User’s Manual, Version 1.1, SRC-TR-87-212r2, Institute for Systems Research, University of Maryland, College Park, Maryland.
4.
Hartenberg, R., and Denavit, J., 1964, Kinematics Synthesis of Linkages, McGraw-Hill, New York, NY.
5.
Matthew, G. K., and Tesar, D., 1977a, “Synthesis of Spring Parameters to Satisfy Specified Energy Levels in Plannar Mechanisms,” ASME Journal of Engineering for Industry, pp. 341–346.
6.
Matthew, G. K., and Tesar, D., 1977b, “Synthesis of Spring Parameters to Balance General Forcing Functions in Plannar Mechanisms,” ASME Journal of Engineering for Industry, pp. 347–352.
7.
Shieh
W.
Azarm
S.
Tsai
L. W.
Tits
A. L.
1994
, “Optimization-Based Design of a Leg Mechanism via Combined Mechanism and Structural Analysis
,” Advances in Design Automation
, DE-Vol. 69-1
, ASME Pub., pp. 199
–209
.8.
Shin
E.
Streit
D. A.
1993
, “An Energy Efficient Quadruped with Two-Stage Equilibrator
,” ASME Journal of Mechanical Design
, Vol. 115
, No. 1
, pp. 156
–163
.9.
Williams, R. P., Tsai, L. W., and Azarm, S., 1991, “Design of a Crank-and-Rocker Driven Pantograph: A Leg Mechanism for the University of Maryland’s 1991 Walking Robot,” Proc. of 2nd Nat. Conf. on Applied Mechanisms and Robotics, Vol. 1, Paper No. VIB. 2, Cincinnati, OH.
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