Triangular nomograms for symmetrical spherical non-Grashof double-rockers generating symmetrical coupler curves

Wen-Miin Hwang; Ke Hao Chen

doi:10.1016/j.mechmachtheory.2006.05.008

Triangular nomograms for symmetrical spherical non-Grashof double-rockers generating symmetrical coupler curves

Wen-Miin Hwang, Ke Hao Chen

Department of Mechanical Engineering

Research output: Contribution to journal › Article

6 Citations (Scopus)

Abstract

This paper presents triangular nomograms for symmetrical spherical non-Grashof double-rockers generating symmetrical coupler curves, which provide a simple means to search for the desired symmetrical coupler curves. The dimensional parameters of a symmetrical spherical non-Grashof double-rocker are the lengths of the fixed link, turning link, coupler link, and coupler point position. Four types of symmetrical spherical non-Grashof double-rockers tracing symmetrical coupler curves are discussed. Seven kinds of special symmetrical coupler curves are investigated, and the corresponding geometric relations are used to derive the implicit equations consisting of four dimensional parameters. Then, four triangular nomograms for the symmetrical spherical non-Grashof double-rockers are presented for the determination of dimensional parameters of a linkage generating the desired curve without further calculation.

Original language	English
Pages (from-to)	871-888
Number of pages	18
Journal	Mechanism and Machine Theory
Volume	42
Issue number	7
DOIs	https://doi.org/10.1016/j.mechmachtheory.2006.05.008
Publication status	Published - 2007 Jul 1

All Science Journal Classification (ASJC) codes

Bioengineering
Mechanics of Materials
Mechanical Engineering
Computer Science Applications

Access to Document

10.1016/j.mechmachtheory.2006.05.008

Fingerprint Dive into the research topics of 'Triangular nomograms for symmetrical spherical non-Grashof double-rockers generating symmetrical coupler curves'. Together they form a unique fingerprint.

Cite this

@article{bac5d22f82af445d9791d9523e71747d,

title = "Triangular nomograms for symmetrical spherical non-Grashof double-rockers generating symmetrical coupler curves",

abstract = "This paper presents triangular nomograms for symmetrical spherical non-Grashof double-rockers generating symmetrical coupler curves, which provide a simple means to search for the desired symmetrical coupler curves. The dimensional parameters of a symmetrical spherical non-Grashof double-rocker are the lengths of the fixed link, turning link, coupler link, and coupler point position. Four types of symmetrical spherical non-Grashof double-rockers tracing symmetrical coupler curves are discussed. Seven kinds of special symmetrical coupler curves are investigated, and the corresponding geometric relations are used to derive the implicit equations consisting of four dimensional parameters. Then, four triangular nomograms for the symmetrical spherical non-Grashof double-rockers are presented for the determination of dimensional parameters of a linkage generating the desired curve without further calculation.",

author = "Wen-Miin Hwang and Chen, {Ke Hao}",

year = "2007",

month = jul,

day = "1",

doi = "10.1016/j.mechmachtheory.2006.05.008",

language = "English",

volume = "42",

pages = "871--888",

journal = "Mechanism and Machine Theory",

issn = "0374-1052",

publisher = "Elsevier Limited",

number = "7",

}

TY - JOUR

T1 - Triangular nomograms for symmetrical spherical non-Grashof double-rockers generating symmetrical coupler curves

AU - Hwang, Wen-Miin

AU - Chen, Ke Hao

PY - 2007/7/1

Y1 - 2007/7/1

N2 - This paper presents triangular nomograms for symmetrical spherical non-Grashof double-rockers generating symmetrical coupler curves, which provide a simple means to search for the desired symmetrical coupler curves. The dimensional parameters of a symmetrical spherical non-Grashof double-rocker are the lengths of the fixed link, turning link, coupler link, and coupler point position. Four types of symmetrical spherical non-Grashof double-rockers tracing symmetrical coupler curves are discussed. Seven kinds of special symmetrical coupler curves are investigated, and the corresponding geometric relations are used to derive the implicit equations consisting of four dimensional parameters. Then, four triangular nomograms for the symmetrical spherical non-Grashof double-rockers are presented for the determination of dimensional parameters of a linkage generating the desired curve without further calculation.

AB - This paper presents triangular nomograms for symmetrical spherical non-Grashof double-rockers generating symmetrical coupler curves, which provide a simple means to search for the desired symmetrical coupler curves. The dimensional parameters of a symmetrical spherical non-Grashof double-rocker are the lengths of the fixed link, turning link, coupler link, and coupler point position. Four types of symmetrical spherical non-Grashof double-rockers tracing symmetrical coupler curves are discussed. Seven kinds of special symmetrical coupler curves are investigated, and the corresponding geometric relations are used to derive the implicit equations consisting of four dimensional parameters. Then, four triangular nomograms for the symmetrical spherical non-Grashof double-rockers are presented for the determination of dimensional parameters of a linkage generating the desired curve without further calculation.

UR - http://www.scopus.com/inward/record.url?scp=33947128603&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33947128603&partnerID=8YFLogxK

U2 - 10.1016/j.mechmachtheory.2006.05.008

DO - 10.1016/j.mechmachtheory.2006.05.008

M3 - Article

AN - SCOPUS:33947128603

VL - 42

SP - 871

EP - 888

JO - Mechanism and Machine Theory

JF - Mechanism and Machine Theory

SN - 0374-1052

IS - 7

ER -