Identification of nonlinear anelastic models

Drăgănescu, Gheorghe; Ercuţa, Aurel; Bereteu, Liviu

doi:10.1088/1742-6596/96/1/012178

Cited by 1 publication

(2 citation statements)

References 9 publications

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“…For the physical modal parameters of the mechanical model, we have used the modal elastic constants and the modal damping constants k μ and c μ , respectively, where μ =1,..., n (where n is the number of DOFs of the system), or the modal reduced frequency and the modal damping factor p μ and ξ μ . These can be considered the elastometric parameters which characterize the status of the tooth-PDL tissue system [ 32 , 33 ], affected in a certain degree by parodonthosis [ 34 ]. An experimental method based on the free response analysis was utilized in order to obtain these parameters.…”

Section: Discussionmentioning

confidence: 99%

“…The first step in order to obtain λ μ is to built the overdetermined system of equations [ 32 , 33 ]:

which can be written in the formal form [ X ]{ s }=−{ x }, where [ X ] is a m × 2 n matrix, { s } is a 2 n × 1 column matrix, and { x } is a m × 1 matrix (where m ≥ 2 n ). This represents, if m > 2 n , an overdetermined system of equations.…”

Section: Signal Processing and Identification Procedure: The Pronymentioning

confidence: 99%

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Mechanical Properties of the Periodontal System and of Dental Constructs Deduced from the Free Response of the Tooth

Sinescu

Duma

Dodenciu

et al. 2018

Journal of Healthcare Engineering

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The biomechanical behaviour of the periodontal ligament (PDL) is still not well understood although this topic has been studied for almost 100 years. This study reports on clinical and mathematical studies to determine the constitutive law of the PDL. A set of mechanical parameters of the tooth-PDL system is obtained, and a new method for the evaluation of these parameters from the free response of the tooth is introduced. This response is produced by repeated impacts applied to the gingival tissue in the apical part of the tooth investigated—with the aid of a Periotest exciter. A Doppler ultrasound probe is utilized to determine the response of the tooth-PDL system. The parameters evaluated from these measurements can be considered as the elastometric properties of the dental system investigated. A modal analysis/system identification method is utilized to estimate these parameters. The investigations are carried out for different teeth abutments, both with and without a dental bridge/fixed partial prosthesis (FPP). The differences between the responses of the systems in these two cases are determined with the new method proposed. They are discussed with regard to the specific purposes of the FPP. The study demonstrates that this method can provide the dentist with the necessary objective evaluations regarding the properties and health of the tooth-PDL system, as well as of the construct that is obtained after installing a dental bridge.

show abstract

Section: Discussionmentioning

confidence: 99%

“…The first step in order to obtain λ μ is to built the overdetermined system of equations [ 32 , 33 ]:

Section: Signal Processing and Identification Procedure: The Pronymentioning

confidence: 99%

Mechanical Properties of the Periodontal System and of Dental Constructs Deduced from the Free Response of the Tooth

Sinescu

Duma

Dodenciu

et al. 2018

Journal of Healthcare Engineering

View full text Add to dashboard Cite

show abstract

Identification of nonlinear anelastic models

Cited by 1 publication

References 9 publications

Mechanical Properties of the Periodontal System and of Dental Constructs Deduced from the Free Response of the Tooth

Mechanical Properties of the Periodontal System and of Dental Constructs Deduced from the Free Response of the Tooth

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