Vibration of Structure with Interior Hinges

by Selvadurai Mahalingam,


Serial Information: Journal of the Engineering Mechanics Division, 1977, Vol. 103, Issue 4, Pg. 753-758


Document Type: Journal Paper

Abstract: The object of this note is to demonstrate the use of the internal displacement excitation concept in analysis of the free and forced vibration of a structure modified by the addition of interior hinges. The insertion of a hinge in a beam is equivalent to making a cut in the slope at the coordinate. When a harmonic displacement is imposed between the terminals of the cut, the ensuing response may be expressed in a general form employing the parameters of the uncut system. A solution in this form has been obtained by the writer for a lumped-parameter system, and the extension of the results to a continuous system follows readily from a subsequent paper by the writer. The application of a displacement excitation at a cut introduces an easily-visualized initial discontinuity in slope with simplifies the analysis of the free and forced modes that are characterized by discontinuities in slope at the hinges.

Subject Headings: Hinges | Displacement (mechanics) | Slopes | Excitation (physics) | Vibration | Parameters (statistics) | Discontinuities | Structural analysis

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