NATURAL FREQUENCIES OF CLASSICAL CLAMPED-CLAMPED BEAM WITH A CONCENTRATED LOAD AT ITS MID-POINT
GEORGE JURAJ STEIN *
Institute of Materials and Machine Mechanics, Slovak Academy of Sciences, Račianska 75, SK-831 02 Bratislava 3, Slovakia
RUDOLF CHMÚRNY
Institute of Materials and Machine Mechanics, Slovak Academy of Sciences, Račianska 75, SK-831 02 Bratislava 3, Slovakia
*Author to whom correspondence should be addressed.
Abstract
The title topic was treated extensively some ten to fifteen years ago in various scientific journals. It seems it is worthwhile to reiterate and update in a compact form these deliberations. The free and forced response of the clamped-clamped beam with a mass or moment at the midpoint is analyzed. The presented numerical and graphical results of the first five eigenvalues and eigenmodes may be of some help in practical applications, as well as in teaching.
Keywords: Clamped-clamped beam, centre mass loading, eigenvalues, eigenmodes, forced response