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Mechanical Engineering Commons

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Applied Mechanics

University of Dayton

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Full-Text Articles in Mechanical Engineering

Kinematic Synthesis Of Planar, Shape-Changing, Rigid Body Mechanisms For Design Profiles With Significant Differences In Arc Length, Shamsul A. Shamsudin, Andrew P. Murray, David H. Myszka, James P. Schmiedeler Dec 2013

Kinematic Synthesis Of Planar, Shape-Changing, Rigid Body Mechanisms For Design Profiles With Significant Differences In Arc Length, Shamsul A. Shamsudin, Andrew P. Murray, David H. Myszka, James P. Schmiedeler

Mechanical and Aerospace Engineering Faculty Publications

This paper presents a kinematic procedure to synthesize planar mechanisms capable of approximating a shape change defined by a general set of curves. These “morphing curves,” referred to as design profiles, differ from each other by a combination of displacement in the plane, shape variation, and notable differences in arc length. Where previous rigid-body shape-change work focused on mechanisms composed of rigid links and revolute joints to approximate curves of roughly equal arc length, this work introduces prismatic joints into the mechanisms in order to produce the different desired arc lengths. A method is presented to iteratively search along the …


A Closed-Form Solution For The Similarity Transformation Parameters Of Two Planar Point Sets, Shamsul A. Shamsudin, Andrew P. Murray Jan 2013

A Closed-Form Solution For The Similarity Transformation Parameters Of Two Planar Point Sets, Shamsul A. Shamsudin, Andrew P. Murray

Mechanical and Aerospace Engineering Faculty Publications

Image registration covers the set of techniques used in matching images of the same scene. A subset of the image registration problem, identifying the parameters in a similarity transformation, has emerged as useful in a recently defined area of machine design: designing mechanisms for rigidbody shape-change. First, this brief paper shows a potential use for image registration techniques outside the field of machine vision. Second, it presents a closed-form solution for the similarity transformation parameters when the point sets to be matched are restricted to two-dimensional space as is needed in the aforementioned design problem.


Pole Arrangements That Introduce Prismatic Joints Into The Design Space Of Four- And Five-Position Rigid-Body Synthesis, David H. Myszka, Andrew P. Murray Sep 2010

Pole Arrangements That Introduce Prismatic Joints Into The Design Space Of Four- And Five-Position Rigid-Body Synthesis, David H. Myszka, Andrew P. Murray

Mechanical and Aerospace Engineering Faculty Publications

Although a general five-position, rigid-body guidance problem admits a discrete number of revolute–revolute (RR) dyads, this paper identifies arrangements of five task positions that result in a center-point curve. For these special arrangements, a one-dimensional set of revolute-prismatic (RP) dyads exist to achieve the task positions. Other five-position arrangements are identified where a one-dimensional set of prismatic-revolute (PR) dyads exist to achieve the task positions. For a general case of five task positions, neither PR nor RP dyads are possible. In a general case of four-position rigid-body guidance problems, a unique PR dyad and RP dyad exist. Four-position arrangements are …