Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-hfldf Total loading time: 0 Render date: 2024-05-30T19:41:02.262Z Has data issue: false hasContentIssue false

5 - Posture Analysis by Kinematic Equations

Published online by Cambridge University Press:  05 April 2013

John J. Uicker
Affiliation:
University of Wisconsin, Madison
Bahram Ravani
Affiliation:
University of California, Davis
Pradip N. Sheth
Affiliation:
University of Virginia
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2013

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Denavit, J., “A Symbolic Approach to Mechanisms Leading to Electrical Computation Methods,” MS Thesis, Department of Mechanical Engineering, Northwestern University, Evanston, IL, 1953.Google Scholar
Denavit, J., “Description and Displacement Analysis of Mechanisms Based on (2 × 2) Dual Matrices,” PhD Dissertation, Department of Mechanical Engineering, Northwestern University, Evanston, IL, 1956.Google Scholar
Denavit, J. and Hartenberg, R. S., “A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices,” ASME Transactions, J. of Applied Mechanics, vol. 22, no. 2, 1955.Google Scholar
Denavit, J., “Approximate Synthesis of Spatial Linkages,” ASME Transactions, J. of Applied Mechanics, vol. 27, no. 1, 1960, pp. 201–06.CrossRefGoogle Scholar
Ferguson, J., The Description and Use of a New Machine Called the Mechanical Paradox, London, 1764.Google Scholar
Freudenstein, F. and Roth, B., “Numerical Solution of Systems of Nonlinear Equations,” J. of Association of Computing Machinery, vol. 10, 1963, pp. 550–56.CrossRefGoogle Scholar
Paul, R. P., Robot Manipulators: Mathematics, Programming, and Control, MIT Press, Cambridge, MA, 1981.Google Scholar
Pieper, D., “The Kinematics of Manipulators Under Computer Control,” PhD Dissertation, Department of Mechanical Engineering, Stanford University, Stanford, CA, 1968.Google Scholar
Pieper, D. and Roth, B., “The Kinematics of Manipulator Under Computer Control,” Proc. 2nd International Congress for the Theory of Machines and Mechanisms, Zakopane, Poland, vol. 2, 1969, pp. 159–68.Google Scholar
Raghavan, M. and Roth, B., “Inverse Kinematics of the General 6R Manipulator and Related Linkages,” ASME Transactions, J. of Mechanical Design, vol. 115, no. 3, 1993, pp. 502–08.CrossRefGoogle Scholar
Raghavan, M. and Roth, B., “Solving Polynomial Systems for the Kinematic Analysis and Synthesis of Mechanisms and Robot Manipulators,” ASME Transactions, J. of Mechanical Design, Special 50th Anniversary Issue, vol. 117, June 1995, pp. 71–79.CrossRefGoogle Scholar
Sheth, P. N. and Uicker, J. J., Jr., “A Generalized Symbolic Notation for Mechanisms,” ASME Transactions, J. of Engineering for Industry, vol. 93, 1971, pp. 102–12.CrossRefGoogle Scholar
Shigley, J. E., Kinematic Analysis of Mechanisms, 2nd ed., McGraw-Hill Book Co., New York, 1969.Google Scholar
Sommese, A. J. and Wampler, C. W., The Numerical Solution of Systems of Polynomials Arising in Engineering and Science, World Scientific Publishing Co., 2005.CrossRefGoogle Scholar
Tsai, L. W. and Morgan, A. P., “Solving the Kinematics of the Most General Six- and Five-Degree-of-Freedom Manipulators by Continuation Methods,” ASME Transactions, J. of Mechanisms, Transmissions, and Automation in Design, vol. 107, June 1985, pp. 189–95.CrossRefGoogle Scholar
Uicker, Jr J. J.., Pennock, G. E., and Shigley, J. E., Theory of Machines and Mechanisms, 4th ed., Oxford University Press, New York, 2011.Google Scholar
Wampler, C. W., Morgan, A. P., and Sommese, A. J., “Numerical Continuation Methods for Solving Polynomial Systems Arising in Kinematics,” ASME Transactions, J. of Mechanical Design, vol. 112, no. 1, 1990, pp. 59–68.CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×