1993
DOI: 10.1006/jsvi.1993.1254
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Free Vibrations of Timoshenko Beams Carrying Elastically Mounted, Concentrated Masses

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Cited by 73 publications
(18 citation statements)
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“…The location of the attaching point is at 1 = x 1 =L = 0:5, while the non-dimensional sprung mass m * 1 and spring constant k * 1 are given by m * 1 = m 1 =m b = 0:2 and k * 1 = k 1 =k b = 1:0, respectively. From Table I one sees that the lowest six eigenvalue coe cients j (j = 1; : : : ; 6) for the three boundary conditions of the Timoshenko beam (SS, CC and CS) obtained from the present approach are very close to those obtained from Reference [5]. It is noted that the eigenvalue coe cients j and the actual natural frequencies !…”
Section: Comparison With the Existing Resultssupporting
confidence: 65%
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“…The location of the attaching point is at 1 = x 1 =L = 0:5, while the non-dimensional sprung mass m * 1 and spring constant k * 1 are given by m * 1 = m 1 =m b = 0:2 and k * 1 = k 1 =k b = 1:0, respectively. From Table I one sees that the lowest six eigenvalue coe cients j (j = 1; : : : ; 6) for the three boundary conditions of the Timoshenko beam (SS, CC and CS) obtained from the present approach are very close to those obtained from Reference [5]. It is noted that the eigenvalue coe cients j and the actual natural frequencies !…”
Section: Comparison With the Existing Resultssupporting
confidence: 65%
“…To check the reliability of the theory presented and the computer programs developed for this paper, the lowest six natural frequencies of Timoshenko beam carrying a single spring-mass system as illustrated in Reference [5] were studied ÿrst. The location of the attaching point is at 1 = x 1 =L = 0:5, while the non-dimensional sprung mass m * 1 and spring constant k * 1 are given by m * 1 = m 1 =m b = 0:2 and k * 1 = k 1 =k b = 1:0, respectively.…”
Section: Comparison With the Existing Resultsmentioning
confidence: 99%
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“…Similar studies involving beams with concentrated mass have been carried out by Rossi et al [9], Posiadala [10], Auciello [11] and Uscilowska and Kolodziej [12]. Tomski et al [13] considered a model of a cantilever beam under a prestressing force along with a concentrated mass and investigated the effects of the prestressing force and the concentrated mass of the beams natural frequency.…”
Section: Introductionmentioning
confidence: 87%