Automated synthesis of mechanisms using dual-vector algebra

Moon, Yong-Mo; Kota, Sridhar

doi:10.1016/s0094-114x(01)00073-8

Cited by 36 publications

(17 citation statements)

References 4 publications

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“…In 2002, Moon and Kota [109] proposed a mechanism synthesis method using dual-vector algebra. Screws are represented by the product of a dual-number and dual-vector, hence the name dual-vector algebra.…”

Section: G-3-1 Representations In Discretized Solution Spacesmentioning

confidence: 99%

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Kinematic Synthesis Using Reinforcement Learning

Vermeer

Kuppens

Herder

2018

Volume 2A: 44th Design Automation Conference

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The presented research demonstrates the synthesis of two-dimensional kinematic mechanisms using feature-based reinforcement learning. As a running example the classic challenge of designing a straight-line mechanism is adopted: a mechanism capable of tracing a straight line as part of its trajectory. This paper presents a basic framework, consisting of elements such as mechanism representations, kinematic simulations and learning algorithms, as well as some of the resulting mechanisms and a comparison to prior art. Series of successful mechanisms have been synthesized for path generation of a straight line and figure-eight.

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Section: G-3-1 Representations In Discretized Solution Spacesmentioning

confidence: 99%

“…Kota's approach [16,18,109] used a library of conventional mechanisms to draw building blocks from. A compliant version of this approach was more recently demonstrated by Bernardoni et al, [17], who composed compliant building blocks from a 9-by-9 grid, as shown in G-1.…”

Section: G-3-1 Representations In Discretized Solution Spacesmentioning

confidence: 99%

Kinematic Synthesis Using Reinforcement Learning

Vermeer

Kuppens

Herder

2018

Volume 2A: 44th Design Automation Conference

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“…Hasonló módszerek például a Plücker-vonalak, 4 a duális vektor módszer, 5 vagy a pillanatnyi csavartengely (IHA) megközelítés, 6 amelyet szintén ajánl a Nemzetközi Biomechanikai Társaság. E kidolgozott módszerek természe-tesen rendelkeznek hátrányokkal és előnyök-kel.…”

Section: Bevezetésunclassified

Approximate method for determining axis of finite rotation between two body segments

Bíró¹,

Fekete²

2017

biomech hung

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AbsztraktE tanulmány célja, humán ízületek véges szögelfordulás tengelye helyzetének és orientációjá-nak meghatározására alkalmas közelítő módszer bemutatása. Humán ízületekben a transzláci-ós mozgáskomponensek kevésbé dominánsak a rotációs mozgáskomponensekhez viszonyítva. Ezért, ha a szögelfordulás tengelyének helyzete és orientációja a meghatározandó, a transzlációs mozgáskomponensek biztonsággal elhanyagolhatóak. Az adatok gyűjtéséhez a Polaris optikai helyzet-meghatározó rendszert alkalmaztuk. A helyzet érzékelőket mereven rögzítettük minden egyes cadaver testrészhez annak érdekében, hogy a testrészek közötti szögelfordulás tengelye helyzetét és irányítottságát minél pontosabban meghatározzuk. A szenzor által rögzített adatok: a szenzorhoz kötött koordinátarendszer origójának három helyzetkoordinátája az abszolút koordináta-rendszerben, valamint a koordinátarendszerek közötti három Euler-szög. Példaként a módszer bemutatásra kerül egy emberi térdízületen. Kulcsszavak: véges szögelfordulás tengelye, Euler-paraméterek, optikai helyzet-meghatározás Approximate method for determining axis of finite rotation between two body segments AbstractThe aim of this paper is to present an approximate method for determining the position and orientation of the axis of finite rotation with regard to human joints. In human joints the translational motion components are less dominant compared to rotational motion components. For this reason, if the position and orientation of the axis of rotation have to be determined, the translational motion components can be safely neglected. For data acquisition, Polaris optical tracking system was used. Sensors were secured rigidly to each body parts of the cadaver specimen in order to determine accurately the position and orientation of the axis of rotation between body segments. The data was recorded by each sensor: three position components of the origin of reference frame, secured to the sensor in the absolute coordinate system, and three Euler-angles between the reference frame and the absolute coordinate system. As an example, the method is presented on a human knee joint.

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“…In 1990s, aiming at the function generation issue, Kota and Chiou [114][115][116] [117] extended such a method and proposed an automated synthesis approach by using the mathematical frame of dual-vector algebra. In 1996, based on combinatorial theory, Chiang [118] presented a methed to enumerate the possible SISO combinations with six given building blocks.…”

Section: Modularization Based On the Functional Requirements Of Mechamentioning

confidence: 99%

On the Number of Specialized Mechanisms

Hung

Yan

2008

Volume 2: 32nd Mechanisms and Robotics Conference, Parts a and B

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This work presents a systematic procedure for completely generating the number of non-isomorphic specialized mechanisms from kinematic chains subject to design constraints for planar mechanisms. By assigning the specific types of members and joints in the available atlas of candidate kinematic chains, the atlas of specialized mechanisms are obtained. Furthermore, based on the combinatorial mathematics, the number of specialized mechanisms are counted and verified from the mathematical expressions. A motorcross suspension mechanism and the interior mechanism of Zhang Heng’s seismoscope are used as examples to illustrate this procedure.

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Automated synthesis of mechanisms using dual-vector algebra

Cited by 36 publications

References 4 publications

Kinematic Synthesis Using Reinforcement Learning

Kinematic Synthesis Using Reinforcement Learning

Approximate method for determining axis of finite rotation between two body segments

On the Number of Specialized Mechanisms

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