A systematic method is presented for kinematics synthesis of high-speed mechanisms with optimally integrated smart materials based actuators for the purpose of modifying the output link motion. As an example, the method is applied to a four-bar linkage mechanism that is synthesized for function generation to eliminate the high harmonic component of the output link motion. For mechanisms with rigid links, the high harmonic motions are generated due to the nonlinearity of the kinematics of their closed-loop chains. By eliminating the high harmonic component of the output motion, the potential vibrational excitation that the mechanism can impart on the overall system and its own structure is greatly reduced. The resulting system should therefore be capable of operating at higher speeds and with greater precision. A numerical example is provided together with a discussion of the application of the method to other mechanism synthesis problems and some related topics of interest.

1.
Near, C. D., 1996, “Piezoelectric Actuator Technology,” Proceedings of 1996 Smart Structures and Materials Conference SPIE 2717-19, San Diego, CA.
2.
Crawley, E., and Anderson, E., 1989, “Detail Models of Piezoceramic Actuation Beams,” Proceedings of 30th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Washington, D.C.
3.
Tzou, H. S., Wan, G. C., and Tseng, C. I., 1989, “Dynamics and Distributed Vibration Controls of Flexible Manipulators: Integrated Distributed Sensing and Active Piezoelectric Actuator,” Proceedings of IEEE Intern. Conference on Robotics and Automation, pp. 1716–1721.
4.
Park, C., Walz, C., and Chopra, I., 1993, “Bending Torsion Models of Beams With Induced Strain Activities,” Proceedings of Smart Structures and Materials Conference, Albuquerque, New Mexico.
5.
Park, C., and Chopra, I., 1994, “Modeling Piezoceramic Actuation of Beams in Torsion,” 35th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference and Adaptive Structures Conference, Hilton Head, S.C.
6.
Dunne, J., 1995, “Validation of a Modeling Methodology for Complex Structures With Embedded Actuators,” Intern. Mech. Eng. Congress & Expo, San Francisco, CA.
7.
Kawiecki, G., 1996, “Bending Torsion Response of Open-Section Beams Actuated by Skewed Piezoelements,” Proceedings of Smart Structures and Materials Conference SPIE 2717-42, San Diego, CA.
8.
Ye, D., and Sun, J. Q., 1997, “Dynamic Analysis of Piezoelectric Stack Actuators Including Thermal and Pyroelectric Effects,” Proceedings of Smart Structures and Materials Conference SPIE 3039-63, San Diego, CA.
9.
Chattopadhyay, A., and Gu, H., 1997, “Improved Modeling of C-Block Actuators,” Proceedings of Smart Structures and Materials Conference SPIE 3041-40, San Diego, CA.
10.
Chopara, I., 1995, “Review of Current Status of Smart Structures and Integrated Systems,” Proceedings of Smart Structures and Materials Conference SPIE 2721-01, San Diego, CA.
11.
Clushaw, B., 1996, “Smart Structures Activities Worldwide,” Proc. Smart Structures and Materials Conference SPIE 2721-100, San Diego, CA.
12.
Crawley, E. F., and de Luis, J., 1986, “Experimental Verification of Distributed Piezo-electric Actuators for Use in Precision Space Structures,” AIAA Paper No. 86-0878, pp. 116–124.
13.
Crawley
,
E.
, and
de Luis
,
J.
,
1987
, “
Use of Piezoceramic Actuators as Elements of Intelligent Structures
,”
AIAA J.
,
25
(
10
), pp.
1373
1385
.
14.
Dohner, J. L., Kwan, C. M., and Regelbrugge, M. E., 1996, “Active Chatter Suppression in an Octahedral Hexapod Milling Machine: A Design Study,” Proceedings of Smart Structures and Materials Conference SPIE 2721-41, San Diego, CA.
15.
Browning, D. R., Golioto, I., and Thompson, N. B., 1997, “Active Chatter Control System for Long-Overhung Boring Bars,” Proceedings of Smart Structures and Materials Conference SPIE 3044-26, San Diego, CA.
16.
Redmond, J. M., Barney, P., and Smith, D., 1997, “Development of an Active Boring Bar for Chatter Immunity,” Proceedings of Smart Structures and Materials Conference SPIE 3044-28, San Diego, CA.
17.
Liao
,
C. Y.
, and
Sung
,
C. K.
,
1991
, “
Vibration Suppression of Flexible Linkage Mechanisms Using Piezoelectric Sensors and Actuators
,”
J. Intell. Mater. Syst. Struct.
,
2
, pp.
177
197
.
18.
Preiswerk
,
M.
, and
Venkatesh
,
A.
,
1994
, “
An Analysis of Vibration Control Using Piezoceramic in Planar Flexible-Linkage Mechanisms
,”
J. Smart Materials and Structures
,
3
, pp.
190
200
.
19.
Ferreira, A., Minoti, P., Le Moal, P., and Ferniot, J. C., 1996, “Integrated Five-Degrees-of-Freedom Piezoelectric Manipulator,” Proceedings of Smart Structures and Materials Conference SPIE 2717-69, San Diego, CA.
20.
Freudenstein
,
F.
,
1959
, “
Harmonic Analysis of Crank-and-Rocker Mechanisms With Applications
,”
ASME J. Appl. Mech.
,
26
, pp.
673
675
.
21.
Yuan, L., and Rastegar, J., 1999, “A New Method for Determining the Effects of Structural Flexibility on the Dynamic Behavior of High-Speed Mechanisms,” 1999 ASME Design Technical Conference, Las Vegas, Nevada.
22.
Yuan, L., and Rastegar, J., 1995, “On the Dynamic Behavior of High-Speed Mechanical Systems,” 1999 ASME Design Technical Conference, Las Vegas, NV.
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