This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Home Work #5 Evaluate ( 29 P x as a Fourier series expression for the followings: x x a a P a c R P c = c P a c c a a c a a c R P c = ( 29 a ( 29 b 1 c c P Solution, Fourier series (a) The loading is an even function ⇒ ( 29 0, 0 from def., Eq. 321 , n B A a = = = l ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 cos cos 2 cos cos 2 sin sin 2 sin sin 2 sin a n a c a a c a a c a c n x n x A f x dx f x dx a a a c n x n x P dx P dx a a c a a c a n x a n x P P a n a c n a a c a n a n P a c P a c a n a c n a Pa n a c cn a π π π π π π π π π π π π π π = = = +  =  = + = = ∫ ∫ ∫ ∫ l l l ( 29 1 2 sin cos cos sin 2 1 sin n Pa n c n c n n cn a a Pa n c cn a π π π π π π π  =  Hence, ( 29 ( 29 1 1 2 1 1 sin cos 2 1 2 2 1 3 3 1 4 4 sin cos sin cos sin cos sin cos . . ....
View
Full
Document
This note was uploaded on 09/24/2011 for the course CIVL 7690 taught by Professor Staff during the Summer '10 term at Auburn University.
 Summer '10
 Staff

Click to edit the document details