Developable mechanism

File:Apollo command module.jpg

Some well-known examples of developable mechanisms include the door on the Apollo Command Module and the cargo doors on the Space Shuttle.  Both of these examples are single-hinge-line mechanisms. Note how in each case the joint axes are in line with the ruling lines of the surface. Images are shown on the right.

Origami uses developable surfaces because the paper can be assumed to not stretch.{{cite journal |doi=10.1016/j.mattod.2017.10.004 |title=From flat sheets to curved geometries: Origami and kirigami approaches |journal=Materials Today |volume=21 |issue=3 |pages=241–264 |year=2018 |last1=Callens |first1=Sebastien J.P. |last2=Zadpoor |first2=Amir A. |doi-access=free }} Action origami utilizes the movement of the origami.{{Cite thesis |last=Bowen|first=Landen|date=2013-07-02|title=A Study of Action Origami as Systems of Spherical Mechanisms |type=MS thesis |publisher=Brigham Young University |url=https://scholarsarchive.byu.edu/etd/3685 |hdl=1877/etd6391}}{{cite journal |doi=10.1016/j.mattod.2017.10.004 |title=From flat sheets to curved geometries: Origami and kirigami approaches |journal=Materials Today |volume=21 |issue=3 |pages=241–264 |year=2018 |last1=Callens |first1=Sebastien J.P. |last2=Zadpoor |first2=Amir A. |doi-access=free }}

Ortho-planar mechanisms are a subset of developable mechanisms where the developable surface is a plane and the links emerge out of the plane.{{Cite thesis |last=Parise |first=John J. |date=1999 |title=Ortho-planar mechanisms |type=MS thesis |publisher=Brigham Young University |url=https://www.researchgate.net/publication/34191699 |language=en|access-date=2019-02-13}} Lamina Emergent Mechanisms are ortho-planar mechanisms (and hence also developable mechanisms) where the joints are compliant mechanisms.{{Cite thesis |last=Jacobsen|first=Joseph|date=2008-02-22|title=Fundamental Components for Lamina Emergent Mechanisms |type=MS thesis |publisher=Brigham Young University |url=https://scholarsarchive.byu.edu/etd/1330 |hdl=1877/etd2277}} The same joints used to create lamina emergent mechanisms can be used to approximate developable surfaces{{Cite thesis|last=Nelson|first=Todd|date=2018-06-01|title=Art to Engineering: Curved Folding and Developable Surfaces in Mechanism and Deployable Structure Design |type=PhD dissertation |publisher=Brigham Young University |url=https://scholarsarchive.byu.edu/etd/6865 |hdl=1877/etd10068}}{{cite journal |doi=10.1115/1.4031901 |title=Facilitating Deployable Mechanisms and Structures Via Developable Lamina Emergent Arrays |journal=Journal of Mechanisms and Robotics |volume=8 |issue=3 |pages=031006 |year=2016 |last1=Nelson |first1=Todd G. |last2=Lang |first2=Robert J. |last3=Pehrson |first3=Nathan A. |last4=Magleby |first4=Spencer P. |last5=Howell |first5=Larry L. }}

File:STS115 Atlantis undock ISS edit2.jpg

Developable surfaces are easy to manufacture{{cite journal |last1=Chalfant |first1=Julie S. |last2=Maekawa |first2=Takashi |title=Design for Manufacturing Using B-Spline Developable Surfaces |journal=Journal of Ship Research |date=September 1998 |volume=42 |issue=3 |pages=207–215 |doi=10.5957/jsr.1998.42.3.207}} and are found in many applications. Developable mechanism can be embedded within these surfaces.

Developable mechanisms are deployable.

Developable mechanism stow compactly during one position of the mechanism's motion.

The motion of developable mechanisms can be modeled using traditional kinematics formulas. In rigid-body linkages, the shape of the rigid links does not change the motion.{{Cite book|title=Design of Machinery.|last=L.|first=Norton, Robert|date=2007|publisher=McGraw-Hill College|isbn=9780073290980|oclc=150367304}}

{{reflist}}

• [https://www.compliantmechanisms.byu.edu/about-developable-mechanisms About Developable Mechanisms]
• [https://www.youtube.com/watch?v=CdPLzA4xIF0&t=6s Video about the applications and development of Developable Mechanisms]

Category:Mechanisms (engineering)