Developable mechanisms on developable surfaces

Nelson, Todd G.; Zimmerman, Trent K.; Magleby, Spencer P.; Lang, Robert J.; Howell, Larry L.

doi:10.1126/scirobotics.aau5171

Cited by 53 publications

(14 citation statements)

References 45 publications

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“…The ruled surfaces with vanishing Gaussian curvature, which can be transformed into the plane without any deformation and distortion, are called developable surfaces; they form a relatively small subset that contains cylinders, cones, and the tangent surfaces [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E 3

Ouarab

2021

Abstract and Applied Analysis

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In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in E 3 . It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface. We investigate theorems that give necessary and sufficient conditions for those special ruled surfaces to be developable and minimal. Furthermore, we present examples with illustrations.

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Section: Introductionmentioning

confidence: 99%

Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E 3

Ouarab

2021

Abstract and Applied Analysis

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“…Brigham Young University (Provo, UT) has developed instruments based on origami technology allowing complex mechanisms to be incorporated into an instrument occupying minimal space . These instruments can take on a 3D shape from a flat conformation and can pass through orifices approximately 3 mm in size …”

Section: Resultsmentioning

confidence: 99%

Robotic surgery of the anterior skull base

Campbell

2019

Int Forum Allergy Rhinol

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Background: Significant advances have been made in transoral robotic surgery (TORS), yet its application in anterior skull-base surgery has yet to be defined. This work explores the history of endoscopic sinus and anterior skullbase surgery, and its advantages and disadvantages. The development of robotic surgery is then discussed as well as the advantages and disadvantages of TORS as it relates to the anterior skull base. The current applications for robotic surgery to the anterior skull base are presented with details of future applications. Methods:A structured search of the current literature using MEDLINE, PubMed, and EMBASE was performed from inception to May 2019. Search terms related to topics of robotic skull-base surgery were identified and queried to identify relevant articles. Results:Fi y-four papers were identified from the literature search and a hand search of the references. Twentyone other references were discovered from personal communication, websites, and books relevant to the topic. Conclusion:Anterior skull-base surgery has the potential for significant morbidity compared to head and neck surgery, yet the application of the robot in sinus and anterior skull-base surgery has yet to be formally defined. Currently, there are certain limitations that need to be overcome; however, research to address these barriers is currently underway and promises an exciting future for robotic sinus and anterior skull-base surgery. C 2019 ARS-AAOA, LLC.

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“…A kirigami-based mechanical system allows us to create sophisticated three-dimensional (3D) motion from a 2D surface (Felton et al, 2014). A kirigami-based compliant mechanism also has a compact mechanical footprint and volumes while having high cooperativity with humans (Nelson et al, 2019).…”

Section: Actuation Mechanismmentioning

confidence: 99%

Deployable Telescopic Tubular Mechanisms With a Steerable Tongue Depressor Towards Self-Administered Oral Swab

et al. 2021

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Swabbing tests have proved to be an effective method of diagnosis for a wide range of diseases. Potential occupational health hazards and reliance on healthcare workers during traditional swabbing procedures can be mitigated by self-administered swabs. Hence, we report possible methods to apply closed kinematic chain theory to develop a self-administered viral swab to collect respiratory specimens. The proposed sensorized swab models utilizing hollow polypropylene tubes possess mechanical compliance, simple construction, and inexpensive components. In detail, the adaptation of the slider-crank mechanism combined with concepts of a deployable telescopic tubular mechanical system is explored through four different oral swab designs. A closed kinematic chain on suitable material to create a developable surface allows the translation of simple two-dimensional motion into more complex multi-dimensional motion. These foldable telescopic straws with multiple kirigami cuts minimize components involved in the system as the characteristics are built directly into the material. Further, it offers a possibility to include soft stretchable sensors for realtime performance monitoring. A variety of features were constructed and tested using the concepts above, including 1) tongue depressor and cough/gag reflex deflector; 2) changing the position and orientation of the oral swab when sample collection is in the process; 3) protective cover for the swabbing bud; 4) a combination of the features mentioned above.

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Developable mechanisms on developable surfaces

Cited by 53 publications

References 45 publications

Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E 3

Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E 3

Robotic surgery of the anterior skull base

Deployable Telescopic Tubular Mechanisms With a Steerable Tongue Depressor Towards Self-Administered Oral Swab

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