eprintid: 18186
rev_number: 22
userid: 1953
dir: disk0/00/01/81/86
datestamp: 2013-06-27 14:24:55
lastmod: 2018-06-27 05:15:03
status_changed: 2013-06-27 14:24:55
type: thesis_degree
metadata_visibility: show
contact_email: meg84.pitt@gmail.com
item_issues_count: 0
eprint_status: archive
creators_name: Gu, Mengzhe
creators_email: meg84.pitt@gmail.com
title: In-Plane Nonlinear Stability Analysis of Shallow Arches with Elastic Supports
ispublished: unpub
divisions: sch_eng_civilenvironmental
full_text_status: public
keywords: Non-linear analysis, shallow arch, snap-through buckling, bifurcation buckling, elastic supports
abstract: Classical buckling theory has been researched extensively to determine the in-plane buckling behavior of parabolic, circular and catenary arches. To simplify the analyses, several assumptions are made. However, these simplified assumptions are not valid for shallow arches under significant vertical load which are characterized by their high geometric non-linearity. Prebuckling displacements should be accounted for for accurate in-plane buckling analysis of shallow arches. 
In reality, the supports of arches are not necessarily pin- or fixed-connections. An arch may be supported by elastic foundations or other structural elements that provide elastic restraint at the supports. In this work, elastic foundations are represented by horizontal and rotational springs. These support restraints may have a significant influence on the in-plane buckling behavior.
In-plane non-linear stability analysis of shallow arches is performed in this thesis. Energy equations are derived by considering the total potential energy of the arch structure. The vanishing of first variation of total potential energy characterizes the equilibrium state, while the second variation of total potential energy falling to zero represents the transition from a stable state to an unstable state, from which the critical condition may be obtained.
Finally, this thesis discusses the effects of horizontal and rotational restraints in calculation of in-plane buckling strength of shallow arches. Several examples are considered to illustrate the application of the theory, presented in this research for general practice.
date: 2013-06-27
date_type: published
pages: 53
institution: University of Pittsburgh
refereed: TRUE
etdcommittee_type: thesis_advisor
etdcommittee_type: committee_member
etdcommittee_type: committee_member
etdcommittee_name: Torkamani, M
etdcommittee_name: Harries, K
etdcommittee_name: Brigham, J
etdcommittee_email: torkmani@pitt.edu
etdcommittee_email: kharries@pitt.edu
etdcommittee_email: brigham@pitt.edu
etdcommittee_id: TORKMANI
etdcommittee_id: KHARRIES
etdcommittee_id: BRIGHAM
etd_defense_date: 2013-04-01
etd_approval_date: 2013-06-27
etd_submission_date: 2013-04-04
etd_release_date: 2013-06-27
etd_access_restriction: 5_year
etd_patent_pending: FALSE
thesis_type: thesis
degree: MSCE
citation:   Gu, Mengzhe  (2013) In-Plane Nonlinear Stability Analysis of Shallow Arches with Elastic Supports.  Master's Thesis, University of Pittsburgh.    (Unpublished)  
document_url: http://d-scholarship-dev.library.pitt.edu/18186/1/Mengzhe_Gu_ETD_2013.pdf