rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Bending, Vibration and Buckling Response of Conventional and Modified Euler-Bernoulli and Timoshenko Beam Theories Accounting for the von Kármán Geometric Nonlinearity
  name:
    name part: Mahaffey, Patrick Brian
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Reddy, J. N. (Junuthula Narasimha)
    name part: 1945-
    role:
      role term: thesis advisor.
  name:
    name part: Texas A & M University
    role:
      role term: degree granting institution.
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: txu
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource.
  abstract: Beams are among the most commonly used structural members that are encountered in virtually all systems of structural design at various scales. Mathematical models used to determine the response of beams under external loads are deduced from the three-dimensional elasticity theory through a series of assumptions concerning the kinematics of deformation and constitutive behavior. The kinematic assumptions exploit the fact that such structures do not experience significant trans-verse normal and shear strains and stresses. For example, the solution of the three-dimensional elasticity problem associated with a straight beam is reformulated as a one-dimensional problem in terms of displacements whose form is presumed on the basis of an educated guess concerning the nature of the deformation. In many cases beam structures are subjected to compressive in-plane loads that may cause out-of-plane buckling of the beam. Typically, before buckling and during compression, the beam develops internal axial force that makes the beam stiffer. In the linear buckling analysis of beams, this internal force is not considered. As a result the buckling loads predicted by the linear analysis are not accurate. The present study is motivated by lack of suitable theory and analysis that considers the nonlinear effects on the buckling response of beams. This thesis contains three new developments: (1) the conventional beam theories are generalized by accounting for nonlinear terms arising from ε[subscript zz] and ε[subscript xz] that are of the same magnitude as the von Kármán nonlinear strains appearing in ε[subscript xx]. The equations of motion associated with the generalized Euler-Bernoulli and Timoshenko beam theories with the von Kármán type geometric nonlinear strains are derived using Hamilton's principle. These equations form the basis of investigations to determine certain microstructural length scales on the bending, vibration and buckling response of beams used in micro- and nano-d…
  note: by Patrick Brian Mahaffey.
  note: "Major Subject: Mechanical Engineering."
  note: Includes vita.
  note: Master of Science Texas A & M University 2013 http://hdl.handle.net/1969.1/151319
  note: Includes bibliographical references.
  note: Text (Thesis)
  subject:
    topic: Major Mechanical Engineering
  subject:
    topic: analytical solutions
  subject:
    topic: coupled system of equations
  subject:
    topic: buckling loads
  subject:
    topic: generalized nonlinear theories of beams
  subject:
    topic: microstructural length scales
  subject:
    topic: von Kármán geometric nonlinear strains.
  identifier: http://hdl.handle.net/1969.1/151319
  record info:
    record content source: TXA
    record creation date: 140304
    record change date: 20151206092234.0
    record identifier: in00003454944
    language of cataloging:
      language term: eng