Free Vibration of Centrifugally Stiffened Uniform and Tapered Beams Using the Dynamic Stiffness Method

Banerjee, J.R.

doi:10.1006/jsvi.1999.2855

Cited by 183 publications

(78 citation statements)

References 23 publications

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“…Banerjee [27] compared the natural frequencies of tapered beams modelled by uniform elements with the exact values of these frequencies. He concluded that this approximation gives a lower bound of the natural frequencies.…”

Section: Introductionmentioning

confidence: 99%

An efficient 3D numerical beam model based on cross sectional analysis and Ritz approximations

Stoykov

Manoach

Margenov

2015

Z. Angew. Math. Mech.

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A 3D beam model, i.e. a beam that may deform in space and experience longitudinal and torsional deformations, is developed considering Timoshenko's theory for bending and assuming that the cross section rotates as a rigid body but may deform in longitudinal direction due to warping. The cross sectional properties are firstly calculated and then inserted at the equation of motion. The beam is assumed to be with an arbitrary cross section, with linearly varying thickness and width, and with an initial twist. The model is appropriate for open and closed thin-walled cross sections, and also for solid cross sections. The objective of the current research is to demonstrate that complex beam structures can be modeled accurately with reduced number of degrees of freedom.

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Section: Introductionmentioning

confidence: 99%

An efficient 3D numerical beam model based on cross sectional analysis and Ritz approximations

Stoykov

Manoach

Margenov

2015

Z. Angew. Math. Mech.

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show abstract

“…This does not happen in other methodologies, such as the dynamic stiffness method (Banerjee, 2000(Banerjee, , 2001.…”

Section: Resultsmentioning

confidence: 96%

“…(Yang el al., 2004;Özdemir & Kaya, 2006;Lin & Hsiao, 2001). Banerjee derived the dynamic stiffness matrix of a rotating Bernoulli-Euler beam using the Frobenius method of solution in power series and he includes the presence of an axial force at the outboard end of the beam in addition to the existence of the usual centrifugal (Banerjee, 2000).…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Centrifugally Stiffened Non Uniform Timoshenko Beams

Bambill¹,

Felix²,

Rossi³

et al. 2012

Mechanical Engineering

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“…There is a vast amount of literature covering the modeling of rotating cantilever beams, including analytical models of Euler-Bernoulli beams [2], finite element analyses of Timoshenko beams [3], analyses of beams with concentrated tip masses [4], analyses of cracked rotating blades [5], and investigations of the effect of gyroscopic coupling [6].…”

Section: Modal Analysis Of Rotating Structuresmentioning

confidence: 99%

Operational Modal Analysis of a Rotating Cantilever Beam Using High-Speed Digital Image Correlation

Rizo-Patron

Sirohi

2016

57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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Free Vibration of Centrifugally Stiffened Uniform and Tapered Beams Using the Dynamic Stiffness Method

Cited by 183 publications

References 23 publications

An efficient 3D numerical beam model based on cross sectional analysis and Ritz approximations

An efficient 3D numerical beam model based on cross sectional analysis and Ritz approximations

Free Vibration Analysis of Centrifugally Stiffened Non Uniform Timoshenko Beams

Operational Modal Analysis of a Rotating Cantilever Beam Using High-Speed Digital Image Correlation

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