Modal Analysis of Random Vibration with Hysteresis

by Thomas T. Baber, Univ of Virginia, Charlottesville, VA, USA,

Document Type: Proceeding Paper

Part of: Dynamic Response of Structures


A model for the zero or non-zero mean random vibration response of hysteretic plane frames is summarized, in which the plane frame is idealized as a series of elastic sub-elements connected by discrete hinge sub-elements. Lumped masses are located at the nodal interfaces. Using equivalent linearization as a tool for the approximate analysis of random vibration leads to a set of response variables which increases as the square of the number of displacement variables. This leads to significant computational expense, and can destabilize certain algebraic solution procedures. To reduce the number of displacement variables, a modal transformation is outlined, which uses the mode shapes of an associated linear structure. Two structures are analyzed. The author states his conclusions.

Subject Headings: Vibration | Modal analysis | Frames | Dynamic structural analysis | Hysteresis | Displacement (mechanics) | Structural dynamics

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