Accession Number : AD0000587


Title :   METHODS OF DETERMINING NATURAL MODES AND FREQUENCIES FOR TRANSVERSE VIBRATIONS OF BEAMS


Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE


Personal Author(s) : MUELLER, EDWARD A


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/000587.pdf


Report Date : 15 May 1952


Pagination or Media Count : 81


Abstract : Differential-equation, variational, and integral-equation methods for determining natural modes and frequencies of transverse vibration of beams are outlined, and their limitations are discussed. The methods described are applicable to straight beams with symmetric cross section which vibrate in the plane of symmetry. They yield satisfactory results for modes whose half-wave length is long in comparison to the average height of the beam.1


Descriptors :   *VIBRATION , LENGTH , SYMMETRY , CROSS SECTIONS , DIFFERENTIAL EQUATIONS , INTEGRAL EQUATIONS , HEIGHT , TRANSVERSE


Subject Categories : Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE