The Resource Nonlinear optimum design of dynamic damped structures, by Mark Eugene Botkin

Nonlinear optimum design of dynamic damped structures, by Mark Eugene Botkin

Label
Nonlinear optimum design of dynamic damped structures
Title
Nonlinear optimum design of dynamic damped structures
Statement of responsibility
by Mark Eugene Botkin
Creator
Author
Subject
Language
eng
Summary
"A method to optimize the weight of plane frames subjected to dynamic loads is presented. Restrictions are imposed upon the maximum dynamic stresses and displacements, desirable section moduli of the constituent members, and the range of values allowed for natural frequencies. Various considerations for rigid frame design include damping, the P-[delta] effect, static girder loads, static column loads and girder shears transferred to the columns. A finite difference approach is presented to evaluate the shock spectrum which is used in conjunction with modal superposition to obtain the peak upperbound dynamic displacements and stresses for multistory and multibay frames. The displacement method is used for the structural matrix formulation from which the optimization process is shown in relation to the change of the design variables in the condensed stiffness matrix. A direct, non-linear mathematical programming method, the method of feasible directions, is used to minimize the weight of the structure, as the objective function, subject to the aforementioned linear and non-linear constraints. Using this method requires the calculation of the normals to the various response quantities of stresses, displacements, eigenvalues and eigenvectors. These are obtained by taking derivatives with respect to the design variables where the equations remain in closed form due to the utilization of information obtained from the shock spectrum and the eigensolution. The objective function is linearized by using wide flange sections as structural elements since the section modulus of each wide flange can be expressed linearly as a function of the depth and area. Several applications of the proposed method are presented to show the design process related to active constraints and the significant effects of various considerations on optimum design"--Abstract, pages ii-iii
Member of
Cataloging source
UMR
http://library.link/vocab/creatorName
Botkin, M. E.
Degree
Ph. D.
Dissertation year
1973.
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
  • Damping (Mechanics)
  • Structural dynamics
  • Vibration
Label
Nonlinear optimum design of dynamic damped structures, by Mark Eugene Botkin
Instantiates
Publication
Note
Vita
Bibliography note
Includes bibliographical references (pages 115-117)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Control code
913750087
Extent
1 online resource (xv, 172 pages)
Form of item
online
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)913750087
Label
Nonlinear optimum design of dynamic damped structures, by Mark Eugene Botkin
Publication
Note
Vita
Bibliography note
Includes bibliographical references (pages 115-117)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Control code
913750087
Extent
1 online resource (xv, 172 pages)
Form of item
online
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)913750087

Library Locations

    • Curtis Laws Wilson LibraryBorrow it
      400 West 14th Street, Rolla, MO, 65409, US
      37.955220 -91.772210
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