Folding analysis of reversal arch by the tangent stiffness method

Iguchi, Shin-ichi; Goto, Shigeo; Ijima, Katsushi; Obiya, Hiroyuki

doi:10.12989/sem.2001.11.2.211

Cited by 3 publications

(3 citation statements)

References 4 publications

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“…That is, as the first step, the force systems generated at both ends of closing loops associated with various degrees of gable bend were calculated by tangent stiffness method. The tangent stiffness method can accurately handle large displacement phenomena of frame structures in space due to the element translating as a rigid body without dividing the structure into very fine elements [9]. On the other hand, application of the FE method is inappropriate for structural analyses of loops which are largely deformed [15].…”

Section: Discussionmentioning

confidence: 99%

“…The forces and moments acting on the ends of closing loops associated with various degrees of gable bend (0, 5, 10, 15, 20, 25, and 308) were calculated by means of a structural analysis based on the tangent stiffness method, in which large deflection can be handled [9]. The closing loop examined in this study was the teardrop type, which was 10 mm in height.…”

Section: Tangent Stiffness Methodsmentioning

confidence: 99%

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Effect of gable bend incorporated into loop mechanics on anterior tooth movement: Comparative study between en masse retraction and two-step retraction

et al. 2015

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Section: Discussionmentioning

confidence: 99%

Section: Tangent Stiffness Methodsmentioning

confidence: 99%

Effect of gable bend incorporated into loop mechanics on anterior tooth movement: Comparative study between en masse retraction and two-step retraction

et al. 2015

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“…The forces and moments acting on the ends of the closing loop were calculated by means of a computer program for geometric nonlinear analysis based on the tangent stiffness method, by which large deflection problems can be handled. 9 The closing loop examined in this study was the teardrop type, which was 10 mm in height (Figure 1). The interbracket distance was set to be 10 mm.…”

Section: Methodsmentioning

confidence: 99%

A novel and simple design of the closing loop producing optimal force magnitude and moment-to-force ratio for en-masse retraction of anterior teeth

et al. 2020

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Purpose: The aim of this study was to clarify the mechanical conditions of loop activation that produce the optimal force system allowing controlled movement of the anterior teeth.Materials and Methods: The closing loop examined in this study was a 10-mm-high teardrop type bent from a 0.017 × 0.025-inch stainless steel archwire. A loop design that can generate a high moment-to-force (M/F) ratio and the optimal force magnitude was investigated by varying the rate of the cross-sectional reduction of the loop apex, the amount of loop activation and the degree of gable bend. Forces and moments acting on closing loops were calculated using structural analysis based on the tangent stiffness method.Results: A force magnitude of 302 g and an M/F ratio higher than 10 (sufficiently high to achieve bodily movement of the anterior teeth) could be produced when the thickness of the cross-section of a 10-mm-high teardrop loop was reduced by half for a distance of 3 mm from the apex and a gable bend of 30° was incorporated into the loop.Conclusions: The optimal force magnitude and M/F ratio for achieving controlled tipping or bodily movement of the anterior teeth can be produced by partially reducing the thickness of the teardrop loop, and by placing a gable bend of 20° to 30° in the 0.018-inch bracket slot system.

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Innovative design of closing loops producing an optimal force system applicable in the 0.022-in bracket slot system

Sumi

Koga

Tominaga

et al. 2016

American Journal of Orthodontics and Dentofacial Orthopedics

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Folding analysis of reversal arch by the tangent stiffness method

Cited by 3 publications

References 4 publications

Effect of gable bend incorporated into loop mechanics on anterior tooth movement: Comparative study between en masse retraction and two-step retraction

Effect of gable bend incorporated into loop mechanics on anterior tooth movement: Comparative study between en masse retraction and two-step retraction

A novel and simple design of the closing loop producing optimal force magnitude and moment-to-force ratio for en-masse retraction of anterior teeth

Innovative design of closing loops producing an optimal force system applicable in the 0.022-in bracket slot system

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