Kinematic synthesis of planar, shape-changing, rigid body mechanisms for design profiles with significant differences in arc length

Shamsudin, Shamsul Anuar; Murray, Andrew P.; Myszka, David H.; Schmiedeler, James P.

doi:10.1016/j.mechmachtheory.2013.08.007

Cited by 15 publications

(2 citation statements)

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As detailed in Ref. [20], the coordinates of each M-segment are formed as the mean shape of the corresponding portions of the target profiles, and the coordinates of each C-segment are formed as the average curvature defined by the points on the corresponding portions of the target profiles. The coordinates of the ith point on a segment in the jth profile are represented by a position vector z i j .…”

Section: Generate An Initial Segment Matrixmentioning

confidence: 99%

Design and Experimental Assessment of Variable-Geometry Dies for Polymer Extrusion

Myszka

Murray

2017

Journal of Mechanical Design

Self Cite

View full text Add to dashboard Cite

This paper presents a design methodology and experimental assessment of variable-geometry dies that enable the extrusion of plastic parts with a nonconstant cross section. These shape-changing dies can produce complex plastic components at higher manufacturing speeds and with lower tooling costs than injection molding. Planar, rigid-body, shape-changing mechanism synthesis techniques are used to create the links that comprise the variable-geometry die exit orifice. Mechanical design guidelines for production-worthy dies are proposed. Several dies were designed and constructed to provide significant changes in the cross-sectional shape and area of extruded parts. Experiments were conducted in a production environment. An analysis of the repeatability of the cross-sectional profiles along the length of the part is presented.

show abstract

Section: Generate An Initial Segment Matrixmentioning

confidence: 99%

Design and Experimental Assessment of Variable-Geometry Dies for Polymer Extrusion

Myszka

Murray

2017

Journal of Mechanical Design

Self Cite

View full text Add to dashboard Cite

show abstract

“…Such a mechanism performs a series of shape changes by altering its edge geometry which is formed by a chain of rigid bodies connected by revolute joints. Prismatic joints are also employed in the chain to extend the methodology for profiles of significantly different arc lengths 14 . In order to address growth factor of biological samples, a new type of segment called a G-segment is introduced 15 .…”

Section: Introductionmentioning

confidence: 99%

Shape-changing chains for morphometric analysis of 2D and 3D, open or closed outlines

Zhou

Murray

et al. 2021

Sci Rep

View full text Add to dashboard Cite

Morphometrics is a multivariate technique for shape analysis widely employed in biological, medical, and paleoanthropological applications. Commonly used morphometric methods require analyzing a huge amount of variables for problems involving a large number of specimens or complex shapes. Moreover, the analysis results are sometimes difficult to interpret and assess. This paper presents a methodology to synthesize a shape-changing chain for 2D or 3D curve fitting and to employ the chain parameters in stepwise discriminant analysis (DA). The shape-changing chain is comprised of three types of segments, including rigid segments that have fixed length and shape, scalable segments with a fixed shape, and extendible segments with constant curvature and torsion. Three examples are presented, including 2D mandible profiles of fossil hominin, 2D leaf outlines, and 3D suture curves on infant skulls. The results demonstrate that the shape-changing chain has several advantages over common morphometric methods. Specifically, it can be applied to a wide range of 2D or 3D profiles, including open or closed curves, and smooth or serrated curves. Additionally, the segmentation of profiles is a flexible and automatic protocol that can consider both biological and geometric features, the number of variables obtained from the fitting results for statistical analysis is modest, and the chain parameters that characterize the profiles can have physical meaning.

show abstract

Parametric fitting and morphometric analysis of 3D open curves based on discrete cosine transform

Zhou

Nie

2021

Zoomorphology

View full text Add to dashboard Cite

Kinematic synthesis of planar, shape-changing, rigid body mechanisms for design profiles with significant differences in arc length

Cited by 15 publications

References 66 publications

Design and Experimental Assessment of Variable-Geometry Dies for Polymer Extrusion

Design and Experimental Assessment of Variable-Geometry Dies for Polymer Extrusion

Shape-changing chains for morphometric analysis of 2D and 3D, open or closed outlines

Parametric fitting and morphometric analysis of 3D open curves based on discrete cosine transform

Contact Info

Product

Resources

About