Dynamic Reduction of Structural Models

by Charles A. Miller, (M.ASCE), Prof.; Dept. of Civ. Engrg., City Coll. of New York, New York, N.Y.,

Serial Information: Journal of the Structural Division, 1980, Vol. 106, Issue 10, Pg. 2097-2108

Document Type: Journal Paper


This paper considers the errors associated with the reduction of the structural static degrees of freedom before performing a dynamic analysis. It is shown that the standard methods of performing the reduction can lead to significant errors especially for the member loads computed in a forced vibration problem. A modified reduction is developed which is shown to significantly reduce the errors. The standard and modified methods are applied to a cantilever beam, a gabled frame, and a piping system.

Subject Headings: Structural dynamics | Dynamic models | Structural models | Errors (statistics) | Static structural analysis | Statics (mechanics) | Degrees of freedom | Dynamic analysis

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