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Dynamic Analysis of Coupled Shear Walls and Sandwich Beams


Skattum, Knut Sverre (1971) Dynamic Analysis of Coupled Shear Walls and Sandwich Beams. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/SMJ0-W112.


A study is made of the free vibration of planar coupled shear walls, a common lateral load-resisting configuration in building construction where two walls are coupled together by a system of discrete spandrel beams. The differential equations and boundary conditions are obtained by the variational method, and by assuming that the spandrels can be replaced by a continuous system of laminae, or small beams.

Natural frequencies and mode shapes are determined, and the results are presented in a number of figures from which the natural frequencies of any coupled shear wall can be extracted. The importance of including vertical displacement in the analysis is discussed, and a study of the effect of neglecting the vertical inertia term is given. These cases are illustrated with graphs and with one specific example. Investigations are also made of the asymptotic behavior of the system as the spandrels become weak, as they become stiff, and as the frequencies become large.

Finally, the theory of sandwich beams is presented and compared to that for coupled shear walls. It is observed that for most cases of constant properties, the differential equations (and boundary conditions) reduce to the same mathematical form for both theories.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Applied Mechanics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied Mechanics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Jennings, Paul C.
Group:Earthquake Engineering Research Laboratory
Thesis Committee:
  • Unknown, Unknown
Defense Date:24 May 1971
Other Numbering System:
Other Numbering System NameOther Numbering System ID
EERL TR71-06
Record Number:CaltechThesis:10192017-151943526
Persistent URL:
Related URLs:
URLURL TypeDescription DocumentTechnical Report EERL 71-06 in CaltechAUTHORS
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10532
Deposited By: Kathy Johnson
Deposited On:19 Oct 2017 22:29
Last Modified:20 Dec 2019 19:31

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