Talk:Burmester's theory

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Poses?[edit]

What is a "pose"? I've never heard of it in the mathematical field or the engineering field. Wizard191 (talk) 02:48, 21 January 2010 (UTC)


being neither an engineer or mathematician, I am interested to learn that the word does not convey anything to someone who knows more about these fields, but it is the word used in the sources I cited seemingly to refer to the shape a linkage must adopt to carry one part of it (and any object being manipulated) to a specific position. Perhaps there is a more modern word that covers this and would be better used in the article.--Mcmahon251 (talk) 23:33, 27 February 2010 (UTC)

Update this article[edit]

If it is ok, I would like to work on this article. You can see my work in the articles linkage (mechanical), mechanical system and machine (mechanical).Prof McCarthy (talk) 02:47, 16 June 2011 (UTC)

You don't need permission to edit, so just go for it. See WP:BRD. Wizard191 (talk) 17:45, 16 June 2011 (UTC)

Mathematical or geometric?[edit]

The first sentence states Burmester's theory is a "geometric technique", while the next paragraph states it's a "mathematical synthesis". So which is it? Wizard191 (talk) 17:55, 16 June 2011 (UTC)

Burmester used "descriptive geometry," also known as graphical constructions, to solve non-linear equations that could not be solved any other way at the time. This was the only mathematical analysis available for the study of machines in the late 1800's. The modern matrix methods and resultants used to formulate and solve these non-linear equations were only being developed at this time. The graphical techniques were so effective that matrix and algebraic methods were not used until Freudenstein's and later Kaufman's computerization of the process in the mid 1900's.Prof McCarthy (talk) 18:13, 16 June 2011 (UTC)

Four position synthesis[edit]

I removed the entire paragraph that described Burmester's construction of the circling point curve using the opposite pole quadrilateral. I am sorry if this was a rather drastic edit. I felt that the details were difficult to understand as presented, and I could not fix it. However, if it is useful we and add this construction back into this article. Another alternative is to present the construction in an article of its own, because it involves quite a bit of interesting geometry. Prof McCarthy (talk) 23:39, 19 June 2011 (UTC)

I also reworked the five position synthesis paragraph to focus on the circling point curve instead of the center point curve, only because it fit the sequence presented in the previous paragraphs. The theory works from either perspective, and in some ways is better when viewed as computing center points, it is just a little harder to explain. Prof McCarthy (talk) 23:58, 19 June 2011 (UTC)

Algebraic formulation[edit]

I have added the algebraic equations that represent the geometric formulation of Burmester, because there has be an increase in their use for linkage synthesis. You can see a variety of examples at mechanicaldesign101.com. Prof McCarthy (talk) 06:21, 26 November 2012 (UTC)

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