The Resource Numerical inversion of the Laplace transformation and the solution of the viscoelastic wave equations, by Abbas Ali Daneshy, (electronic resource)

Numerical inversion of the Laplace transformation and the solution of the viscoelastic wave equations, by Abbas Ali Daneshy, (electronic resource)

Label
Numerical inversion of the Laplace transformation and the solution of the viscoelastic wave equations
Title
Numerical inversion of the Laplace transformation and the solution of the viscoelastic wave equations
Statement of responsibility
by Abbas Ali Daneshy
Creator
Subject
Genre
Language
eng
Summary
"In the numerical inversion of Laplace transform two general techniques of inversion are analyzed; a study of the procedures based on an expansion of f(̄s) by a polynomial in 1/s (Salzer's method) provides accurate results for certain ranges of t. A curvature criterion for the selection of the range of points for polynomial interpolation, and a geometric distribution in this interval markedly improves the range and the degree of accuracy of inversion. The results may be further improved by multiplying f(̄s) by 1/s of 1/s2. Other procedures are based on approximation of f(̄t). This investigation includes a general review of the theory, study of the Papoulis method (using a Fourier sine series expansion of f(t)) and the application of a curvature criterion for determination of a distribution factor, [delta]. Other techniques, such as those based on expansion of f(t) by other trigonometric sets, Legendre polynomials, Jacobi polynomials, and Laquerre polynomials are briefly analyzed. Papoulis method is adequate for numerical inversion of the L-transform of the viscoelastic wave equations. Numerical solutions are made for complex viscoelastic wave equations. Utilizing the correspondence principle for dynamic problems the generalized equations for plane, spherical and cylindrical viscoelastic wave equations are formulated. The study of the three-and five-element models reveals that their attenuation for steady-state response is proportional to frequency squared for low frequencies and is constant for high frequencies. Transients in three- and five-element models do not predict accurately the behavior of real earth materials, although both give better approximation than the theory of elasticity"--Abstract, p. ii-iii
Related
Cataloging source
UMR
http://library.link/vocab/creatorDate
1942-
http://library.link/vocab/creatorName
Daneshy, Abbas Ali
Degree
Ph. D.
Dissertation year
1969.
Granting institution
University of Missouri--Rolla
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • theses
http://library.link/vocab/subjectName
  • Wave equation
  • Viscoelastic materials
  • Viscoelasticity
  • Laplace transformation
Target audience
specialized
Label
Numerical inversion of the Laplace transformation and the solution of the viscoelastic wave equations, by Abbas Ali Daneshy, (electronic resource)
Instantiates
Publication
Note
  • Vita
  • The entire thesis text is included in file
  • Title from title screen of thesis/dissertation PDF file (viewed April 24, 2013)
Bibliography note
Includes bibliographical references (pages 171-174)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
840636786
Dimensions
unknown
Extent
1 online resource (xxii, 188 pages)
Form of item
  • online
  • electronic
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations, digital, PDF file.
Specific material designation
remote
System control number
(OCoLC)840636786
System details
  • System requirements: Adobe Acrobat Reader; Internet browser
  • Mode of access: World Wide Web
Label
Numerical inversion of the Laplace transformation and the solution of the viscoelastic wave equations, by Abbas Ali Daneshy, (electronic resource)
Publication
Note
  • Vita
  • The entire thesis text is included in file
  • Title from title screen of thesis/dissertation PDF file (viewed April 24, 2013)
Bibliography note
Includes bibliographical references (pages 171-174)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
840636786
Dimensions
unknown
Extent
1 online resource (xxii, 188 pages)
Form of item
  • online
  • electronic
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations, digital, PDF file.
Specific material designation
remote
System control number
(OCoLC)840636786
System details
  • System requirements: Adobe Acrobat Reader; Internet browser
  • Mode of access: World Wide Web

Library Locations

  • St. Louis Mercantile LibraryBorrow it
    1 University Blvd, St. Louis, MO, 63121, US
    38.710138 -90.311107
  • Thomas Jefferson LibraryBorrow it
    1 University Blvd, St. Louis, MO, 63121, US
    38.710138 -90.311107
  • University ArchivesBorrow it
    703 Lewis Hall, Columbia, MO, 65211, US
  • University of Missouri-St. Louis Libraries DepositoryBorrow it
    2908 Lemone Blvd, Columbia, MO, 65201, US
    38.919360 -92.291620
  • University of Missouri-St. Louis Libraries DepositoryBorrow it
    2908 Lemone Blvd, Columbia, MO, 65201, US
    38.919360 -92.291620
  • Ward E Barnes Education LibraryBorrow it
    8001 Natural Bridge Rd, St. Louis, MO, 63121, US
    38.707079 -90.311355
Processing Feedback ...