Beyer,
R.
, 1963, The Kinematic Synthesis of Mechanisms,
H. Kuenzel
, ed.,
Chapman & Hall,
London.
Hartenberg,
R. S.
, and
Denavit,
J.
, 1964, Kinematic Synthesis of Linkages,
McGraw-Hill,
New York.
Erdman,
A. G.
, and
Sandor,
G. N.
, 1990, Mechanism Design: Analysis and Synthesis,
Prentice Hall,
Englewood Cliffs, NJ.
McCarthy,
J. M.
, 1990, Introduction to Theoretical Kinematics,
MIT Press,
Cambridge, MA.
McCarthy,
J. M.
, 2000, Geometric Design of Linkages,
Springer-Verlag,
New York, pp. 120–126.
Hunt,
K. H.
, 1990, Kinematic Geometry of Mechanisms,
Oxford University Press,
New York.
Waldron,
K. J.
, and
Kinzel,
G. L.
, 1999, Kinematics, Dynamics and Design of Machinery,
Wiley,
New York.
Waldron,
K. J.
, 1973, “
A Study of Overconstrained Linkage Geometry by Solution of Closure Equations—Part I. Method of Study,” Mech. Mach. Theory,
8(1), pp. 95–104.
[CrossRef]
Waldron,
K. J.
, 1973, “
A Study of Overconstrained Linkage Geometry by Solution of Closure Equations—Part II. Four Bar Linkages With Lower Pairs Joints Other Than Screw,” Mech. Mach. Theory,
8(2), pp. 233–247.
[CrossRef]
Mavroidis,
C.
, and
Roth,
B.
, 1995, “
Analysis of Overconstrained Mechanisms,” ASME J. Mech. Des.,
117(6), pp. 69–74.
[CrossRef]
Murray,
A. P.
, and
Larochelle,
P. M.
, 1998, “
A Classification Scheme for Planar 4R, Spherical 4R, and Spatial RCCC Linkages to Facilitate Computer Animation,” ASME Paper No. DETC98/MECH-5887.
Yang,
A. T.
, and
Freudenstein,
F.
, 1964, “
Application of Dual-Number Quaternion Algebra to the Analysis of Spatial Mechanisms,” ASME J. Appl. Mech.,
31(2), pp. 300–308.
[CrossRef]
Cheng,
H. H.
, 1994, “
Programming With Dual Numbers and Its Applications in Mechanisms Design,” Eng. Comput.,
10(4), pp. 212–229.
[CrossRef]
Pennestrì,
E.
, and
Stefanelli,
R.
, 2007, “
Linear Algebra and Numerical Algorithms Using Dual Numbers,” Multibody Syst. Dyn.,
18(3), pp. 323–344.
[CrossRef]
González-Palacios,
M. A.
, and
Angeles,
J.
, 1993, Cam Synthesis,
Kluwer Academic,
Dordrecht.
Figliolini,
G.
, and
Angeles,
J.
, 2006, “
The Synthesis of the Pitch Surfaces of Internal and External Skew-Gears and Their Racks,” ASME J. Mech. Des.,
128(4), pp. 794–802.
[CrossRef]
Figliolini,
G.
,
Stachel,
H.
, and
Angeles,
J.
, 2013, “
On Martin Disteli's Spatial Cycloidal Gearing,” Mech. Mach. Theory,
60(1), pp. 73–89.
[CrossRef]
Figliolini,
G.
,
Stachel,
H.
, and
Angeles,
J.
, 2015, “
The Role of the Orthogonal Helicoid in the Generation of the Tooth Flanks of Involute-Gear Pairs With Skew Axes,” ASME J. Mech. Rob.,
7(1), p. 011003.
[CrossRef]
Figliolini,
G.
,
Rea,
P.
, and
Angeles,
J.
, 2010, “
Synthesis of the Pitch Surfaces of Non-Circular Skew-Gears,” ASME Paper No. DETC2010-28902.
Mallik,
A. K.
,
Ghosh,
A.
, and
Dittrich,
G.
, 1994, Kinematic Analysis and Synthesis of Mechanisms,
CRC Press,
New York.
Fischer,
I. S.
, 1998, Dual-Number Methods in Kinematics, Statics and Dynamics,
CRC Press,
New York.
Bai,
S.
, and
Angeles,
J.
, 2008, “
A Unified Input-Output Analysis of Four-Bar Linkages,” Mech. Mach. Theory,
43(2), pp. 240–251.
[CrossRef]
Marble,
S. D.
, and
Pennock,
G. R.
, 2000, “
Algebraic-Geometric Properties of the Coupler Curve of the RCCC Spatial Four-Bar Mechanism,” Mech. Mach. Theory,
35(5), pp. 675–693.
[CrossRef]
Bennett,
G. T.
, 1903, “
A New Mechanism,” Engineering,
76(12), pp. 777–778.
Dunkerley,
S.
, 1920, Mechanism,
Longmans,
Green, London, pp. 406–414.
Baker,
J. E.
, 1979, “
The Bennett, Goldberg and Myard Linkages–In Perspective,” Mech. Mach. Theory,
14(4), pp. 239–253.
[CrossRef]
Baker,
J. E.
, 1988, “
The Bennett Linkage and Its Associated Quadric Surfaces,” Mech. Mach. Theory,
23(2), pp. 147–156.
[CrossRef]
Chung-Ching,
L.
, 1995, “
Kinematic Properties and Motion Generation Synthesis of Bennett 4R Mechanism,” Ninth IFToMM World Congress on the Theory of Machines and Mechanism, Milan, Italy, Aug. 29–Sept. 5, Vol.
1, pp. 291–295.
Baker,
J. E.
, 2001, “
On Certain Surfaces and Curves Associated With Bennett Linkage,” Proc. Inst. Mech. Eng., Part K,
219(3), pp. 217–224.
Perez,
A.
, and
McCarty,
J. M.
, 2002, “
Bennett's Linkage and the Cylindroid,” Mech. Mach. Theory,
37(11), pp. 1245–1260.
[CrossRef]
Perez,
A.
, and
McCarthy,
J. M.
, 2003, “
Dimensional Synthesis of Bennett Linkages,” ASME J. Mech. Des.,
125(1), pp. 98–104.
[CrossRef]
Figliolini,
G.
,
Conte,
M.
, and
Rea,
P.
, 2012, “
Algebraic Algorithm for the Kinematic Analysis of Slider Crank/Rocker Mechanisms,” ASME J. Mech. Rob.,
4(1), p. 011003.
[CrossRef]
Sodhi,
R.
, and
Shoup,
T. E.
, 1982, “
Axodes for the Four-Revolute Spherical Mechanism,” Mech. Mach. Theory,
17(3), pp. 173–178.
[CrossRef]
Chiang,
C. H.
, 2000, Kinematics of Spherical Mechanisms,
Krieger,
Malabar, FL.
Stachel,
H.
, 2000, “
Instantaneous Spatial Kinematics and the Invariants of the Axodes,” Symposium Commemorating the Legacy, Works and Life of Sir Robert Stawell Ball,
University of Cambridge,
Cambridge, UK, pp. 1–13.
Baker,
J. E.
, 2001, “
The Axodes of Bennett Linkage,” Mech. Mach. Theory,
36(1), pp. 105–116.
[CrossRef]
Jamalov,
R. I.
,
Litvin,
F. L.
, and
Roth,
B.
, 1984, “
Analysis and Design of RCCC Linkages,” Mech. Mach. Theory,
19(4/5), pp. 397–407.
[CrossRef]
Sommer,
H. J.
, 2008, “
Jerk Analysis and Axode Geometry of Spatial Linkages,” ASME J. Mech. Des.,
130(4), p. 042301.
[CrossRef]
Skreiner,
M.
, 1967, “
Acceleration Analysis of Spatial Linkages Using Axodes and Instantaneous Screw Axis,” ASME J. Manuf. Sci. Eng.,
89(1), pp. 97–101.
Baker,
J. E.
, 2006, “
Fixed Axode of a Linkage Coupler, Its Central Tangent Surface and Its Parameter of Distribution,” Proc. Inst. Mech. Eng. Part K,
220(1), pp. 1–8.
Chen,
C.-H. S.
, 2005, “
Formulas for Computing Axode Normal and Curvatures With Derivation Based on Fundamental Concepts of Engineering Differential Geometry,” Mech. Mach. Theory,
40(7), pp. 834–848.
[CrossRef]
Baker,
J. E.
, 2005, “
The Curve of Striction of the Bennett Loop's Fixed Axode,” ASME J. Mech. Des.,
127(1), pp. 607–611.
[CrossRef]
Figliolini,
G.
,
Rea,
P.
, and
Angeles,
J.
, 2012, “
The Synthesis of the Axodes of Spatial Four-Bar Linkages,” ASME Paper No. DETC2012-71255.
Poinsot,
L.
, 1853, “
Théorie des Cones Circulaires Roulants,” J. Math. Pures Appl., Mallet-Bachelier,
XVIII(1), pp. 41–70.
Figliolini,
G.
, and
Angeles,
J.
, 2011, “
Synthesis of the Pitch Cones of N-Lobed Elliptical Bevel Gears,” ASME J. Mech. Des.,
133(3), p. 031002.
[CrossRef]
Dukkipati,
R. V.
, 2000, Spatial Mechanisms Analysis and Synthesis,
CRC Press,
Boca Raton, FL.
Reuleaux,
F.
, 1963, The Kinematics of Machinery,
Dover Publications,
New York, pp. 315–316.
Cardani,
H.
, 1663, Mediolanensis Philosophi ac Medici Celeberrimi Operum, Tomus X, De Rebus factis & artificiis, Liber V, De Armillarum Instrumento, Cap. VII, Sumptibus Ioannis Antonii Huguetan & Marci Antonii Ravavd, Lugduni (Lyon), France, pp. 488–489.
Willis,
R.
, 1870, Principles of Mechanism, 2nd ed.,
Longmans Green,
London, pp. 163–164.
Seherr-Thoss,
H. C.
,
Schmelz,
F.
, and
Aucktor,
E.
, 2006, Universal Joints and Driveshafts, 2nd ed.,
J. A. Tipper
, and
S. J. Hill
, eds.,
Springer-Verlag,
Berlin.
Hooke,
R.
, 1676, A Description of Helioscopes and Some Other Instruments,
Royal Society,
London.
Dudiţă,
F. I.
,
Diaconescu,
D.
, and
Gogu,
G.
, 1989, Mecanisme Articulate,
Editura Tehnică,
Bucharest, Romania.
Bottema,
O.
, and
Roth,
B.
, 1979, Theoretical Kinematics,
Dover Publications,
New York, p. 348.