Determination of first and second order instant screw parameters from landmark trajectories

Henry Joseph Sommer, III

Determination of first and second order instant screw parameters from landmark trajectories

Henry Joseph Sommer, III

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Least squares methods were developed to determine instant screw axis (ISA) and angular acceleration axis (AAA) parameters in experimental and analytical studies. The algorithms provide linear relationships for rigid body velocity and acceleration descriptors based on position, velocity, and acceleration data for individual points on the body. Weighted least squares estimators are presented for statistical weighting of individual landmarks as well as for variance weighting to reduce systematic measurement effects. The methods include instantaneous second order screw motion which describes differential geometry of screw axodes. Two spatial mechanism examples provide recommendations for landmark count, distribution and placement.

Original language	English (US)
Title of host publication	Mechanism Synthesis and Analysis
Editors	M. McCarthy, S. Derby, A. Pisano
Publisher	Publ by ASME
Pages	429-437
Number of pages	9
Volume	25
State	Published - 1990
Event	21st Biennial Mechanism Conference - Chicago, IL, USA Duration: Sep 16 1990 → Sep 19 1990

Other

Other	21st Biennial Mechanism Conference
City	Chicago, IL, USA
Period	9/16/90 → 9/19/90

All Science Journal Classification (ASJC) codes

Engineering(all)

Cite this

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title = "Determination of first and second order instant screw parameters from landmark trajectories",

abstract = "Least squares methods were developed to determine instant screw axis (ISA) and angular acceleration axis (AAA) parameters in experimental and analytical studies. The algorithms provide linear relationships for rigid body velocity and acceleration descriptors based on position, velocity, and acceleration data for individual points on the body. Weighted least squares estimators are presented for statistical weighting of individual landmarks as well as for variance weighting to reduce systematic measurement effects. The methods include instantaneous second order screw motion which describes differential geometry of screw axodes. Two spatial mechanism examples provide recommendations for landmark count, distribution and placement.",

author = "{Sommer, III}, {Henry Joseph}",

year = "1990",

language = "English (US)",

volume = "25",

pages = "429--437",

editor = "M. McCarthy and S. Derby and A. Pisano",

booktitle = "Mechanism Synthesis and Analysis",

publisher = "Publ by ASME",

note = "21st Biennial Mechanism Conference ; Conference date: 16-09-1990 Through 19-09-1990",

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T1 - Determination of first and second order instant screw parameters from landmark trajectories

AU - Sommer, III, Henry Joseph

PY - 1990

Y1 - 1990

N2 - Least squares methods were developed to determine instant screw axis (ISA) and angular acceleration axis (AAA) parameters in experimental and analytical studies. The algorithms provide linear relationships for rigid body velocity and acceleration descriptors based on position, velocity, and acceleration data for individual points on the body. Weighted least squares estimators are presented for statistical weighting of individual landmarks as well as for variance weighting to reduce systematic measurement effects. The methods include instantaneous second order screw motion which describes differential geometry of screw axodes. Two spatial mechanism examples provide recommendations for landmark count, distribution and placement.

AB - Least squares methods were developed to determine instant screw axis (ISA) and angular acceleration axis (AAA) parameters in experimental and analytical studies. The algorithms provide linear relationships for rigid body velocity and acceleration descriptors based on position, velocity, and acceleration data for individual points on the body. Weighted least squares estimators are presented for statistical weighting of individual landmarks as well as for variance weighting to reduce systematic measurement effects. The methods include instantaneous second order screw motion which describes differential geometry of screw axodes. Two spatial mechanism examples provide recommendations for landmark count, distribution and placement.

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UR - http://www.scopus.com/inward/citedby.url?scp=0025589923&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0025589923

VL - 25

SP - 429

EP - 437

BT - Mechanism Synthesis and Analysis

A2 - McCarthy, M.

A2 - Derby, S.

A2 - Pisano, A.

PB - Publ by ASME

T2 - 21st Biennial Mechanism Conference

Y2 - 16 September 1990 through 19 September 1990

ER -

Determination of first and second order instant screw parameters from landmark trajectories

Abstract

Other

All Science Journal Classification (ASJC) codes

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