Free Vibrations Of Beams With Elastically Mounted Masses

Kukla, Stanisław; Posiadała, B.

doi:10.1006/jsvi.1994.1345

Cited by 45 publications

(20 citation statements)

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“…Equation (14) also has certain conceptual advantages over equation (5). Speci"cally, it can be easily modi"ed to compute the natural frequencies of a linear structure carrying S lumped masses or attached to S grounded elastic supports.…”

Section: Letters To the Editormentioning

confidence: 99%

Natural Frequencies of a Linear Elastica Carrying Any Number of Sprung Masses

Cha

2001

Journal of Sound and Vibration

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Section: Letters To the Editormentioning

confidence: 99%

Natural Frequencies of a Linear Elastica Carrying Any Number of Sprung Masses

Cha

2001

Journal of Sound and Vibration

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“…Other studies on the vibration analysis of beams carrying masses are presented in Refs. [16,17]. In structural engineering, this problem is similar to free vibration of an elastic beam on elastic foundation and a pile embedded in soil.…”

Section: Introductionmentioning

confidence: 98%

Effect of axial force on free vibration of Timoshenko multi-span beam carrying multiple spring-mass systems

Yeşilce

Demirdağ

2008

International Journal of Mechanical Sciences

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“…Naguleswaran (2002Naguleswaran ( , 2003 obtained the natural frequency values of the beams on up to five resilient supports including ends and carrying several particles by using EBT and obtained a fourth-order determinant equated to zero. Other studies on the vibration analysis of beams carrying masses are presented in references (Kukla & Posiadala 1994, Su & Banerjee 2005.…”

Section: Introductionmentioning

confidence: 99%

Free vibrations of a multi-span Timoshenko beam carrying multiple spring-mass systems

Yeşilce

Demirdağ

Catal

2008

Sadhana

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Structural elements supporting motors or engines are frequently seen in technological applications. The operation of a machine may introduce additional dynamic stresses on the beam. It is important, then, to know the natural frequencies of the coupled beam-mass system, in order to obtain a proper design of the structural elements. The literature regarding the free vibration analysis of Bernoulli-Euler single-span beams carrying a number of spring-mass system and Bernoulli-Euler multi-span beams carrying multiple spring-mass systems are plenty, but on Timoshenko multi-span beams carrying multiple spring-mass systems is fewer. This paper aims at determining the natural frequencies and mode shapes of a Timoshenko multi-span beam. The model allows to analyse the influence of the shear effect and spring-mass systems on the dynamic behaviour of the beams by using Timoshenko Beam Theory (TBT). The effects of attached spring-mass systems on the free vibration characteristics of the 1-4 span beams are studied. The natural frequencies of Timoshenko multi-span beam calculated by using secant method for non-trivial solution are compared with the natural frequencies of multi-span beam calculated by using Bernoulli-Euler Beam Theory (EBT) in literature; the mode shapes are presented in graphs.

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Free Vibrations Of Beams With Elastically Mounted Masses

Cited by 45 publications

References 0 publications

Natural Frequencies of a Linear Elastica Carrying Any Number of Sprung Masses

Natural Frequencies of a Linear Elastica Carrying Any Number of Sprung Masses

Effect of axial force on free vibration of Timoshenko multi-span beam carrying multiple spring-mass systems

Free vibrations of a multi-span Timoshenko beam carrying multiple spring-mass systems

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