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Semi-holonomic constraints (analytical mechanics)

  • #1
m equations of semi-holonomic constraints can be put in the form:

fi=(q1,q2,....,qn,[tex]\dot{q}[/tex]1,...,[tex]\dot{qn}[/tex])

but "commonly appears in the restricted form:

[tex]\Sigma[/tex]aikdqk +aitdt = 0

(i,k,t preceded by "a" should appear in subscript and the sum is over k)

I don't understand this form. what are the coefficients aik and ait? can they be functions of q or q dot?
I don't understand how is it possible for these two equations to be equivalent.
consider for example the following equation of a non-holonomic constraint: q1^2+q2dot=0
what would the second form of this equation look like? :confused:
 
Last edited:

Answers and Replies

  • #2
sorry for the last post (couldn't delete it for some reason)... I was confused, but now I realize the second equation is not exactly equivalent to the first, but represents only a special case which is quite common.
 
  • #3
siddharth
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sorry for the last post (couldn't delete it for some reason)... I was confused, but now I realize the second equation is not exactly equivalent to the first, but represents only a special case which is quite common.
I don't think you can delete the first post in a new thread.

Also, have you taken a look at the Latex tutorial? It's an easy way to display equations.
 
  • #4
now I have, thanks:smile:
 

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