Parameswaran, M. A., and Ganapathy, S., 1979, “Vibratory Conveying—Analysis and Design: A Review,” Mech. Mach. Theory, 14 , pp. 89–97.

Gladwell, G. M. L., and Masour, W. M., 1971, “Simulation of Vibratory Feeders,” *Proceedings of the Symposium on Computer-Aided Engineering* , University of Waterloo, pp. 215–249.

Okabe, S., and Yokoyama, Y., 1981, “Study on Vibratory Feeders: Calculation of Natural Frequency of Bowl-Type Vibratory Feeders,” ASME J. Mech. Des., 103 , pp. 249–256.

Maul, G. P., and Thomas, M. B., 1997, “A System Model and Simulation of the Vibratory Bowl Feeder,” ASME J. Manuf. Sci. Eng., 16 (5), pp. 309–314.

Silversides, R., Dai, J. S., and Seneviratne, L., 2005, ASME J. Mech. Des.

[CrossRef], 127 (4), pp. 637–645.

Selig, J., and Dai, J. S., 2005, “Dynamics of Vibratory Bowl Feeders,” *Proceedings of the 2005 IEEE International Conference on Robotics and Automation (ICRA)* .

Morrey, D., and Mottershead, J. E., 1986, “Modeling of Vibratory Bowl Feeders,” J. Mech. Eng. Sci., 200 (C6), pp. 431–437.

Yu, Y.-Q., Howell, L. L., Lusk, C., Ye, Y., and He, M.-G., 2005, “Dynamic Modeling of Compliant Mechanisms Based on the Pseudo-Rigid-Body Model,” ASME J. Mech. Des.

[CrossRef], 127 (4), pp. 760–765.

Jensen, B. D., and Howell, L. L., 2004, “Bistable Configurations of Compliant Mechanisms Modeled Using Four Links and Transactional Joints,” ASME J. Mech. Des.

[CrossRef], 126 (4), pp. 657–666.

Mankame, N. D., and Ananthasuresh, G. K., 2004, “A Novel Compliant Mechanism for Converting Reciprocating Translation into Enclosing Curved Paths,ASME J. Mech. Des.

[CrossRef], 126 (4), pp. 667–672.

Yu, S. D., and Xi, F., 2003, “Free Vibration Analysis of Planar Flexible Mechanisms,” ASME J. Mech. Des.

[CrossRef], 125 (4), pp. 764–772.

Dai, J. S., and Kerr, D. R., 2000, “A Six-Component Contact Force Measurement Device Based on the Stewart Platform,” "*Proceedings of IMechE*"J. Mech. Eng. Sci., 214 (C5), pp. 687–697.

Dai, J. S., Huang, Z., and Lipkin, H., 2006, “Mobility of Overconstrained Parallel Mechanisms,” ASME J. Mech. Des., 128 (1), pp. 220–229.

Bonev, L. A., Zlatanov, D., and Gosselin, C. M., 2003, “Singularity Analysis of 3-DOF Planar Parallel Mechanisms via Screw Theory,” ASME J. Mech. Des.

[CrossRef], 125 (3), pp. 573–581.

Foucault, S., and Gosselin, C. M., 2004, “Synthesis, Design and Prototyping of a Planar Three Degree-of—Freedom Reactionless Parallel Mechanism,” ASME J. Mech. Des.

[CrossRef], 126 (6), pp. 992–999.

Wolf, A., and Shoham, M., 2003, “Investigation of Parallel Manipulators Using Linear Complex Approximation,” ASME J. Mech. Des.

[CrossRef], 125 (3), pp. 564–572.

Patterson, T., and Lipkin, H., 1993, “Structure of Robot Compliance,” ASME J. Mech. Des., 115 , pp. 576–580.

Patterson, T., and Lipkin, H., 1993, “A Classification of Robot Compliance,” ASME J. Mech. Des., 115 , pp. 581–584.

Dai, J. S., Huang, Z., and Lipkin, H., 2004, “Screw System Analysis of Parallel Mechanisms and Applications to Constraint and Mobility Study,” *Proceedings of the 28th Biennial Mechanisms and Robotics Conference* , Salt Lake City, Sept. 28–Oct. 2.

Ding, X., and Selig, J. M., 2004, “On the Compliance of Coiled Springs,” Int. J. Mech. Sci., 46 , pp. 703–727.

Ting, K.-L., and Zhang, Y., 2004, “Rigid Body Motion Characteristics and Unified Instantaneous Motion Representation of Points,” ASME J. Mech. Des.

[CrossRef], 126 (4), pp. 593–601.

Gausselin, C. M., and Zhang, D., 2002, “Stiffness Analysis of Parallel Mechanisms Using a Lumped Model,” Int. J. Rob. Autom., 17 (1), pp. 17–27.

Simaan, N., and Shoham, M., 2003, “Geometric Interpretation of the Derivatives of Parallel Robots’ Jacobian Matrix with Application to Stiffness Control,” ASME J. Mech. Des.

[CrossRef], 125 (1), pp. 33–42.

Ball, R. S., 1900, "*A Treatise on The Theory of Screws*", Cambridge University Press, Cambridge, England.

von Mises, R., 1924, “Motorrechnung: Ein Neues Hilfsmittel in der Mechanik,” Z. Angew. Math. Mech., 4 (2), pp. 155–181.Trans: Baker, E. J., and Wolhart, K., in "*Motor Calculus: A New Theoretical Device for Mechanics*", published by Graz, Austria: Institute for Mechanics, University of Technology, 1996.

Dimentberg, F. M., 1965, "*The Screw Calculus and Its Applications in Mechanics*", Foreign Technology Division, Wright-Paterson Air Force Base, Ohio, Document No. FTD-HT-23–1632—67.

Lončarić, J., 1987, “Normal Forms of Stiffness and Compliance Matrices,” IEEE J. Rob. Autom., 3 (6), pp. 567–572.

Patterson, T., and Lipkin, H., 1993, “Structure of Robot Compliance,, ASME J. Mech. Des., 115 , pp. 576–80.

Patterson, T., Lipkin, H., 1993, “A Classification of Robot Compliance,” ASME J. Mech. Des., 115 , pp. 581–4.

Huang, S., and Schimmels, J. M., 2000, “The Eigenscrew Decomposition of Spatial Stiffness Matrices,” IEEE Trans. Rob. Autom.

[CrossRef], 16 (2), pp. 146–156.

Huang, S., and Schimmels, J. M., 2002, “The Duality in Spatial Stiffness and Compliance as Realized in Parallel and Serial Elastic Mechanisms,” ASME J. Dyn. Syst., Meas., Control

[CrossRef], 124 , pp. 76–84.

Selig, J. M., and Ding, X., 2002, “Structure of the Spatial Stiffness Matrix,” Int. J. Rob. Autom., 17 (1), pp. 1–16.

Selig, J. M., and Ding, X., 2002, “Diagonal Spatial Stiffness Matrices,” Int. J. Rob. Autom., 17 (2), pp. 100–106.

Dai, J. S., and Rees Jones, J., 2001, “Interrelationship Between Screw Systems and Corresponding Reciprocal Systems and Applications,” Mech. Mach. Theory

[CrossRef], 36 (5), pp. 633–651.

Murray, R. M., Li, Z., and Sastry, S. S., 1994, "*A Mathematical Introduction to Robotic Manipulation*", CRC Press, New York.

Ghafoor, A., Dai, J. S., and Duffy, J., 2004, “Stiffness Modeling of a Soft-Finger Contact in Robotic Grasping,” ASME J. Mech. Des.

[CrossRef], 126 , pp. 646–656.

Dai, J. S., and Rees Jones, J., 2002, “Null Space Construction Using Cofactors from a Screw Algebra Context,” Proc. R. Soc., Math. Physic. Eng. Sci., 458 (2024) pp. 1845–1866.

Dai, J. S., 2006, “An Historical Review of the Theoretical Development of Rigid Body Displacements from Rodrigues Parameters to the Finite Twist,” Mech. Mach. Theory, 41 , pp. 41–52.

Dai, J. S., Holland, N., and Kerr, D. R., 1995, “Finite Twist Mapping and Its Application to Planar Serial Manipulators with Revolute Joints,” "*Proceedings of IMechE*", J. Mech. Eng. Sci., 209 (C3), pp. 263–272.

Dai, J. S., and Kerr, D. R., 1996, “Analysis of Force Distribution in Grasps Using Augmentation, Journal of Mechanical Engineering Science,” "*Proceedings of IMechE*", J. Mech. Eng. Sci., 210 (C1), pp. 15–22.