Simplified Analysis of Vertical Vibrations

by Jgi-Jiang Shiau, Sr. Engr.; Bechtel Power Corp., Los Angeles, Calif.,


Serial Information: Journal of the Energy Division, 1979, Vol. 105, Issue 2, Pg. 251-264


Document Type: Journal Paper

Errata: (See full record)

Abstract: Interactions of vertical vibrations among building systems, consisting of slabs, beams, girders, and columns are rather complex. Finite element dynamic analysis for the vertical direction is not only costly in modeling and computer time but also subjected to the limitation of available computer core sizes. The importance and benefit of using simplified analyses of vertical vibration become obvious. In this paper, simplified equations of vertical motion are derived in a general manner to include n modes of all subsystems. Theoretically, n is from 1 to infinity. Two examples are included. The first example illustrates procedures used to set up the simplified equations of vertical motion, according to the general expressions derived in this paper. The second example shows the validity of the simplified analysis by comparing the results with the results from the finite element analysis.

Subject Headings: Finite element method | Equations of motion | Vertical loads | Vibration | Computer models | Building systems | Beam columns | Dynamic analysis

Services: Buy this book/Buy this article

 

Return to search