Hamiltons principle

  • Thread starter aaaa202
  • Start date
  • #1
1,170
3

Main Question or Discussion Point

I have some trouble understanding how my book introduces the variational formulation of mechanics. On the attached file I have stipulated with red a part, which I do not understand at all.
What is the idea behind introducing this differential quantity:
δJ = dJ/dα * dα and writing the requirement for the hamiltonian integral to be zero in the way described by the last equation. Surely all that is required is that the euler lagrange equation 2.11 is satisfied? For me it is just weird to start talking about these things. Can someone explain the idea behind it in some detail?
 

Attachments

Answers and Replies

  • #2
6,054
390
They just introduce new notation. So that instead of writing the partial derivatives, one could just write those variations.
 

Related Threads on Hamiltons principle

  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
0
Views
886
  • Last Post
Replies
1
Views
2K
Replies
7
Views
9K
Replies
4
Views
813
Replies
1
Views
2K
Replies
3
Views
6K
Replies
24
Views
1K
Replies
1
Views
869
Replies
18
Views
1K
Top