Assignment of Chapter#5
(Question#14)
FINITE ELEMENT
METHOD
S
Solution:
The differential equation governing the free transverse vibration of a string is given by
Boundary conditions are
docsity.com
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Collocation Method1-Finite Element Method-Assignment Solution, Exercises of Mathematical Methods for Numerical Analysis and Optimization
This assignment solution was submitted to Amar Sharma for Finite Element Method course at Aligarh Muslim University. It includes: Differential, Equation, Free, Transverse, Vibration, String, Boundary, Conditions, Determinant
Typology: Exercises
2011/2012
1 / 3
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download Collocation Method1-Finite Element Method-Assignment Solution and more Exercises Mathematical Methods for Numerical Analysis and Optimization in PDF only on Docsity!
Assignment of Chapter#
(Question#14)
FINITE ELEMENT
METHOD
S
Solution:
The differential equation governing the free transverse vibration of a string is given by
Boundary conditions are
Where
Using
2 1 2
2 2 3 1 2
2
2
2 2 3 1 2 1 2
2 2 3 4 2 1 2 1 2
x C x l x C x l x
x C lx x C lx x
d R x dx
R x C C l lx C lx x C lx lx
l l l l R l C C l l C C
R l
^
^ ^ ^
^
^ ^ ^
2 2 3 4 2 1 2 1 2
l l l l
C C l l C C
^ ^ ^
2 2 2 3 4 1 1 2 2
2 2 3 4 1 1 2 2
2 2 3 4 1 2
Nowequation implies
C C l l C l l C l l
C l C C l l C l l
l C l l l l C