Theoretical and Experimental Analysis of Flexural Vibration of the Viscoelastic Timoshenko Beam

Nakao, Tomoaki; Okano, Toshio; Asano, I.

doi:10.1115/1.3169130

Cited by 27 publications

(11 citation statements)

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“…6). For specimens tested by forced vibrations, E′/γ was equivalent according to both theories, as was expected given their high slenderness (l/h=75) (Nakao et al 1985;K u b o j i m ae ta l .2004). These, however, displayed more variability (R 2 =95% versus 99%) due to local variations.…”

Section: Comparison Of Measurements Obtained By Different Methodssupporting

confidence: 60%

“…In bending vibration, the total deflection includes a contribution of shear properties, which increases with reducing slenderness, with increasing anisotropy and with increasing order of vibration modes and frequency (Ono and Kataoka 1979;Obataya et al 2000). This effect can be calculated (Nakao et al 1985;Brancheriau and Baillères 2002;Kubojima et al 2004), taking into account the range in axial-to-shear anisotropy of vibrational properties between very different woods (Brémaud et al 2011b). For E′ not to be under-evaluated by more than 2% (by Euler-Bernouilli Eq.…”

Section: Sampling Scaling and Preparation Of Test Specimensmentioning

confidence: 99%

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Characterisation and categorisation of the diversity in viscoelastic vibrational properties between 98 wood types

Brémaud

Kaïm

Guibal

et al. 2011

Annals of Forest Science

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International audienceContext Increased knowledge on diversity in wood properties would have implications both for fundamental research and for promoting a diversification of uses as material. *Aims The objective is to contribute to overcoming the critical lack of data on the diversity of wood dynamic mechanical/viscoelastic vibrational properties, by testing lesser-known species and categorizing sources of variability. *Methods Air-dry axial specific dynamic modulus of elasticity (E'/γ) and damping coefficient (tanδ) were measured on a wide sampling (1792 specimens) of 98 wood types from 79 species. An experimental device and protocol was designed for conducting systematic (i.e. rapid and reproducible) characterizations. *Results Diversity at the specimens' level corroborates the "standard" relationship between tanδ and E'/γ, which is discussed in terms of orientation of wood elements and of chemical composition. Diversity at the species level is expressed on the basis of results for normal heartwood, with specific gravity (γ) ranging from 0.2 to 1.3. Axial E'/γ ranges from 9 to 32 GPa and tanδ from 4×10-3 to 19×10-3. Properties distribution follows a continuum, but with group characteristics. The lowest values of tanδ are only found in certain tropical hardwoods. Results can also suggest alternative species for musical instruments making

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Section: Comparison Of Measurements Obtained By Different Methodssupporting

confidence: 60%

Section: Sampling Scaling and Preparation Of Test Specimensmentioning

confidence: 99%

Characterisation and categorisation of the diversity in viscoelastic vibrational properties between 98 wood types

Brémaud

Kaïm

Guibal

et al. 2011

Annals of Forest Science

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“…But since the solution is dispersive to begin with, then there is no fundamental change in the appearance of the waves. Reference [96] contains analysis, both theoretical and experimental, of the vibration of a viscoelastic beam. The effect of a viscoelastic layer in a sandwich beam is considered in References [89,117].…”

Section: Bernoulli-euler Beam With Constraintsmentioning

confidence: 99%

Wave Propagation in Structures

Doyle¹

1997

Mechanical Engineering Series

371

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“…Generally, the viscoelastic coefficients of bending and shear deformations are different. Recognizing the fact, Nakao et al. (1985) established the equations of motion of viscoelastic Timoshenko beams of anisotropic materials and experimented on wooden beams to measure the elasticity and the viscosity coefficients.…”

Section: Introductionmentioning

confidence: 99%

“…Generally, the viscoelastic coefficients of bending and shear deformations are different. Recognizing the fact, Nakao et al(1985) established the equations of motion of viscoelastic Timoshenko beams of anisotropic materials and experimented on wooden beams to measure the elasticity and the viscosity coefficients. Singh and Abdelnaser (1993) presented a complex mode approach to analyze forced vibration of a viscoelastic Timoshenko beam by decoupling the governing equations based on the orthogonality of complex modal functions.…”

Section: Introductionmentioning

confidence: 99%

Transverse vibration of viscoelastic Timoshenko beam-columns

Chen

Zhang

2015

Journal of Vibration and Control

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Transverse vibration of viscoelastic Timoshenko beam-columns is investigated. The normal and the shear stress-strains are constituted by the Kelvin model with different viscosity parameters. The governing equations and the boundary conditions are derived from the generalized Hamilton principle. The exact frequency equations and the modal functions are proposed. The orthogonality conditions are established in the state space. The transverse response to arbitrary external excitation and initial conditions is determined via decoupling the governing equations based on the orthogonality. The natural frequencies and the decrement coefficients of various beam and beam-column models are numerically contrasted. The effects of the length-to-depth ratio, the axial tension, and the viscosity coefficients on the natural frequencies and the decrement coefficients are numerically demonstrated.

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Theoretical and Experimental Analysis of Flexural Vibration of the Viscoelastic Timoshenko Beam

Cited by 27 publications

References 0 publications

Characterisation and categorisation of the diversity in viscoelastic vibrational properties between 98 wood types

Characterisation and categorisation of the diversity in viscoelastic vibrational properties between 98 wood types

Wave Propagation in Structures

Transverse vibration of viscoelastic Timoshenko beam-columns

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