NEHRP Clearinghouse

Title
Rational Design Methods for Light Equipment in Structures Subjected to Ground Motion.
File
PB292357.pdf
Author(s)
Sackman, J. L.; Kelly, J. M.
Source
National Science Foundation, Washington, DC., cSeptember 1978, 72 p.
Identifying Number(s)
UCB/EERC-78/19
Abstract
An analytical method is developed whereby a simple estimate can be obtained of the maximum dynamic response of light equipment attached to a structure subjected to ground motion. The natural frequency of the equipment, modeled as a single-degree-of-freedom system, is considered to be close, or equal, to one of the natural frequencies of the N-degree-of-freedom structure. This estimate provides a convenient, rational basis for the structural design of the equipment and its installation. The approach is based on the transient analysis of lightly damped tuned or slightly detuned equipment-structure systems in which the mass of the equipment is much smaller than that of the structure. It is assumed that the information available to the designer is a design spectrum for the ground motion, fixed-base modal properties of the structure, and fixed-base properties of the equipment. The results obtained are simple estimates of the maximum acceleration and displacement of the equipment. The method can also be used to treat closely spaced modes in structural systems, where the square root of the sum of squares procedure is known to be invalid. This analytical method has also been applied to untuned equipment-structure systems for which the conventional floor spectrum method is mathematically valid. A closed-form solution is obtained which permits an estimate of the maximum equipment response to be obtained without the necessity of computing time histories, as required by the conventional floor spectrum method. (Copyright (c) 1978 J. L. Sackman and J. M. Kelly.)
Keywords
Floors; Earth movements; Degrees of freedom; Buildings; Earthquake engineering; Ground motion; Dynamic response; Equipment structure interactions; Equipment; Earthquakes; Damping capacity