Dynamic Characteristics of Frame-Wall Systems

by Amiya K. Basu, (F.ASCE), Prof. of Civ. Engrg.; Indian Inst. of Tech., New Delhi, India,
Ashok K. Nagpal, Asst. Prof.; Indian Inst. of Tech., New Delhi, India,
Ashwani K. Nagar, Executive Engrg.; Post & Telegraph Dept. (Civil Wing), Ministry of Communication, Government of India, New Delhi, India,

Serial Information: Journal of the Structural Division, 1982, Vol. 108, Issue 6, Pg. 1201-1218

Document Type: Journal Paper


The first three natural frequencies and the corresponding mode shapes for fixed-base frame-wall systems are presented. The system is modelled as a continuum of uniform properties incorporating the shear deformation in the wall. The resulting fourth-order homogeneous differential equation in terms of lateral displacement is solved exactly using an appropriate numerical technique. The results are presented for various combinations of the two nondimensional parameters which together incorporate all the geometric and material properties of the frame-wall system. The mode shapes are presented in terms of the first three normal modes of a uniform slender cantilever. The nondimensional base shears appropriate for the response spectrum analysis of the system under seismic loading are also given.

Subject Headings: Frames | Shear deformation | System analysis | Seismic loads | Natural frequency | Shear walls | Homogeneity | Differential equations

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