Abstract/Details

The study of nonlinear flexings in a floating beam by variational methods

Feng, Yanling. 
 University of Connecticut ProQuest Dissertations Publishing,  1992. 9300930.

Abstract (summary)

The equation of a floating beam $u\sb{tt}$ + $u\sb{xxxx}$ + $bu\sp+$ = c with free-end boundary conditions was studied using the variational methods. We showed the existence of at least one nontrivial solution which is of the mountain pass type. Also considered was the beam with one end clamped and the other end free, in this case there exist at least two nontrivial solutions.

The numerical results show the presence of both small and large amplitude flexings. Moreover, they persist in the presence of small damping, and arise as solutions of an initial value problem, thereby suggesting some of these solutions have local asymptotic stability properties.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
The study of nonlinear flexings in a floating beam by variational methods
Author
Feng, Yanling
Number of pages
62
Degree date
1992
School code
0056
Source
DAI-B 53/08, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-208-63437-0
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9300930
ProQuest document ID
303970583
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303970583/abstract