Finding the location of the instantaneous center of rotation using a particle image velocimetry algorithm

Claessens, Tom

doi:10.1119/1.4973427

Cited by 6 publications

(3 citation statements)

References 17 publications

(15 reference statements)

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“…In flexion, extension and lateral bending, the ICR paths of the Hybrid I and Hybrid II groups did not change much, whereas the ICR path of the intact group shifted sagittally in flexion/extension and shifted coronally in lateral bending ( Figure 12 ). In axial rotation, the ICR paths of the intact and hybrid groups shifted posteriorly, which was in agreement with other studies ( Muhlbauer et al, 2022 ; Venegas et al, 2020 ; Claessens, 2017 ). In the Baguera ® C group, obvious anterior shift of the ICR in flexion, posterior-inferior shift in extension, and deviated and irregular movements in lateral bending and axial rotation were recorded.…”

Section: Resultssupporting

confidence: 93%

Finite element analysis of optimized novel additively manufactured non-articulating prostheses for cervical total disc replacement

Hsieh

Tai

et al. 2023

Front. Bioeng. Biotechnol.

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Ball-and-socket designs of cervical total disc replacement (TDR) have been popular in recent years despite the disadvantages of polyethylene wear, heterotrophic ossification, increased facet contact force, and implant subsidence. In this study, a non-articulating, additively manufactured hybrid TDR with an ultra-high molecular weight polyethylene core and polycarbonate urethane (PCU) fiber jacket, was designed to mimic the motion of normal discs. A finite element (FE) study was conducted to optimize the lattice structure and assess the biomechanical performance of this new generation TDR with an intact disc and a commercial ball-and-socket Baguera®C TDR (Spineart SA, Geneva, Switzerland) on an intact C5-6 cervical spinal model. The lattice structure of the PCU fiber was constructed using the Tesseract or the Cross structures from the IntraLattice model in the Rhino software (McNeel North America, Seattle, WA) to create the hybrid I and hybrid II groups, respectively. The circumferential area of the PCU fiber was divided into three regions (anterior, lateral and posterior), and the cellular structures were adjusted. Optimal cellular distributions and structures were A2L5P2 in the hybrid I and A2L7P3 in the hybrid II groups. All but one of the maximum von Mises stresses were within the yield strength of the PCU material. The range of motions, facet joint stress, C6 vertebral superior endplate stress and path of instantaneous center of rotation of the hybrid I and II groups were closer to those of the intact group than those of the Baguera®C group under 100 N follower load and pure moment of 1.5 Nm in four different planar motions. Restoration of normal cervical spinal kinematics and prevention of implant subsidence could be observed from the FE analysis results. Superior stress distribution in the PCU fiber and core in the hybrid II group revealed that the Cross lattice structure of a PCU fiber jacket could be a choice for a next-generation TDR. This promising outcome suggests the feasibility of implanting an additively manufactured multi-material artificial disc that allows for better physiological motion than the current ball-and-socket design.

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Section: Resultssupporting

confidence: 93%

Finite element analysis of optimized novel additively manufactured non-articulating prostheses for cervical total disc replacement

Hsieh

Tai

et al. 2023

Front. Bioeng. Biotechnol.

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“…In the derivation of equation ( 6), it may be persuasively argued that equations ( 1) and (2) are unnecessary, and that one could start directly from equation (3). In fact, the indirect methods described in several texts and articles 4,5,9,11 are based on equation (3), or a close variant thereof. It would be straightforward to implement the vector cross product operation performed to obtain equation (5), which results in equation (6).…”

Section: Discussionmentioning

confidence: 99%

“…A third case, where the velocity of a single point on the body and the angular velocity of the body are given, is also included in several textbooks, 4,5 and implied by others. 6,7 Calculations of the ICR location, as presented in the aforementioned textbooks and other articles, [8][9][10][11] also employ an indirect method in which the velocity and angular velocity vectors are first expressed in scalar form. While investigating the possible existence of a direct, analytical method for calculating the ICR, the author came across a post 12 in the Physics forum of StackExchange.…”

Section: Introductionmentioning

confidence: 99%

Instantaneous center/axis of rotation for planar and three-dimensional motion

Kunz

2021

International Journal of Mechanical Engineering Education

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This article discusses a direct analytical method for calculating the instantaneous center of rotation and the instantaneous axis of rotation for the two-dimensional and three-dimensional motion, respectively, of rigid bodies. In the case of planar motion, this method produces a closed-form expression for the instantaneous center of rotation based on a single point located on the rigid body. It can also be used to derive closed-form expressions for the body and space centrodes. For three-dimensional, rigid body motion, an extension of the technique used for planar motion locates a point on the instantaneous axis of rotation, which is parallel to the body angular velocity vector. In addition, methods are demonstrated that can be used to map the body and space cones for general rigid body motion, and locate the fixed point for the body.

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Fusion positioning algorithm of indoor WiFi and bluetooth based on discrete mathematical model

Zhang

2020

J Ambient Intell Human Comput

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Aiming at the problem of limited beacon coverage and low positioning accuracy when indoor WiFi and Bluetooth are positioned separately, the fusion positioning algorithm of indoor WiFi and Bluetooth based on discrete mathematical model is studied. The position fingerprint method is used to realize WiFi indoor positioning through two stages of "off-line/training" and "on-line positioning". The intensity of Bluetooth is obtained through Gauss distribution model. The intensity of Bluetooth signal and the relationship between the distance corresponding to Bluetooth and signal intensity are used to obtain the positions of multiple groups of points to Bluetooth nodes. And then the final positioning coordinates of users are obtained by centroid algorithm. The prior location results and distribution are obtained by multi-source prior information fusion between WiFi and Bluetooth. The optimal Bayesian posterior distribution density function is used to estimate the coordinate deviation, which is used to correct the fusion positioning results and obtain the optimal estimation of the coordinates of WiFi and Bluetooth fusion positioning. The experimental results show that the algorithm can locate indoor volunteers with a positioning accuracy of more than 98% and a positioning time of less than 5 s, which has a high positioning performance.

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Finding the location of the instantaneous center of rotation using a particle image velocimetry algorithm

Cited by 6 publications

References 17 publications

Finite element analysis of optimized novel additively manufactured non-articulating prostheses for cervical total disc replacement

Finite element analysis of optimized novel additively manufactured non-articulating prostheses for cervical total disc replacement

Instantaneous center/axis of rotation for planar and three-dimensional motion

Fusion positioning algorithm of indoor WiFi and bluetooth based on discrete mathematical model

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