Theoretical Kinematics

Front Cover
Dover Publ., 1979 - Science - 558 pages
4 Reviews
Classic, comprehensive treatment covers Euclidean displacements; instantaneous kinematics; two-position, three-position, four-and-more position theory; special motions; multiparameter motions; kinematics in other geometries; and special mathematical methods. Rigorous, elegant study. Over 800 examples. Bibliography. "...the finest treatment yet written..." American Scientist.
  

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Contents

INSTANTANEOUS KINEMATICS
17
The Taylor expansion of an orthogonal matrix
18
The angular velocity matrix
20
The case n3
23
Canonical systems
27
Geometrical invariants
31
TWO POSITIONS THEORY
35
Homologous points
36
The complex of lines joining homologous points
37
Normal planes
39
Homologous planes
41
The midpoint plane
43
Homologous lines
45
The linear complex P
47
The midpoint line
48
The linebisectors
51
The instantaneous case
55
Another method to derive the screw displacement equations
56
THREEPOSITIONS THEORY
63
The plane at infinity
68
The planes through three homologous points
70
Collinear homologous points
72
Lines through three homologous points
74
The intersection of three homologous planes
76
Three homologous lines
78
The circle axes
91
The radius of a circle
94
An oblique coordinate system
96
Applications
99
Three mutually orthogonal screw axes
102
Three screw axes with a common perpendicular
106
The instantaneous case
111
FOUR AND MORE POSITIONS
113
The configuration of the screw axes
114
The screw cone
117
The correspondence between axis direction and rotation angle
118
The distance condition
119
The screw congruence
121
Homologous points
125
Homologous planes and lines
128
A special case of four positions
132
More than four positions
135
The instantaneous case
140
CONTINUOUS KINEMATICS
147
Studys soma
150
Eulerian angles
153
Oneparametermotions
156
The axodes
157
The pointpaths
162
The motion of a plane
173
The motion of a line
177
A generalization of the EulerSavary formula
186
Some general remarks
189
The velocity distribution
191
The acceleration distribution
193
PLANE KINEMATICS
219
Two positions theory
221
Three positions theory
223
Four positions theory
235
Five positions theory
249
Six and more positions
255
Continuous displacements
257
Instantaneous geometric kinematics
263
Second order properties
267
Third order properties
279
Fourth order properties
284
Translations
290
Time as a parameter
295
SPECIAL MOTIONS
299
The FrenetSerret motion
301
Darbouxs motion
304
Mannheims motion
310
Schoenflies motion
312
Analytically determined motions
315
Linesymmetric motions
317
Planesymmetric motions
329
Motions defined by geometrical conditions
330
Special spherical motions
331
Special plane motions
334
nPARAMETER MOTIONS
355
First order properties
360
Second order properties
364
Continuous twoparameter spatial motions
373
Twoparameter spherical motions
379
Twoparameter plane motions
380
Examples of threeparameter motions
385
A MAPPING OF PLANE KINEMATICS
393
The geometry of the image space
397
Straight lines in the image space
401
Curves in the image space
403
Plane image curves
407
Quadratic motions
409
The general fourbar motion
413
Folding fourbars
418
The slidercrank motion
423
Elliptic motion
425
The inverse of a fourbar motion
427
Cycloidal motions
428
The inverse motion
432
The centrodes
434
Instantaneous kinematics
436
Motions with two degrees of freedom
437
Algebraic motions with two given paths
441
The mapping of indirect displacements
442
KINEMATICS IN OTHER GEOMETRIES
447
SPECIAL MATHEMATICAL METHODS IN KINEMATICS
501
BIBLIOGRAPHY
533
INDEX
545
Copyright

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Page 533 - Treatise on the Theory of Screws (gr. 8, 26 chapt., 544 p., 50 fig. and 3 plates; 18 sh.). Cambridge, University press, 1900. Since the author's celebrated publication ,,The Theory of Screws: A study in the Dynamics of a Rigid Body...

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JSTOR: Theoretical Kinematics.
Theoretical Kinematics. By O. BOTTEMA and B. ROTH. North-Holland, New York, 1979. xiv+5$8 pp. $87.75. Dfl. 180.00. Kinematics, as studied in this book, ...
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Theoretical Kinematics (O. Bottema and B. Roth)[SIAM Review 22 ...
Theoretical Kinematics (O. Bottema and B. Roth). [SIAM Review 22, 519 (1980)]. Alan Weinstein.
link.aip.org/ link/ ?SIREAD/ 22/ 519/ 1

No Slide Title
Theoretical Kinematics by O. Bottema, B. Roth. Research and Development. * s mcgill Design Seminar Series 2004 s 12. Powertrain Systems Research Lab ...
www.mcgill.ca/ files/ cden/ Raghavan_GM_Nov3_2004.PPT

OENE BOTTEMA (19011992)
Bernard Roth he wrote the influential survey Theoretical Kinematics, ..... magnum in kinematics, the textbook Theoretical Kinematics which he wrote ...
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Bottema, O./Roth, B., Theoretical Kinematics. North-Holland Series ...
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Iowa State University:Mechanical Engineering:cadcam Group
Bottema, O., and Roth, B., Theoretical Kinematics, 1979, North Holland Publishing ... mccarthy, jm, Introduction to Theoretical Kinematics, 1990, MIT Press. ...
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References
mccarthy, jm, Introduction to Theoretical Kinematics, The MIT Press, ... Bottema, O. and B. Roth, Theoretical Kinematics, Dover Publications, ...
www.brockeng.com/ VMech/ referenc.htm

Some Moebius-Geometric Theorems Connected to Euclidean Kinematics
Theoretical Kinematics . Dover Publications Inc., New York. 1979. [2]. L. Burmester. :. Lehrbuch der Kinematik . Teubner, Leipzig 1888. ...
www.emis.de/ journals/ JGG/ 3.2/ j3h2wei.ps.gz

Theoretical kinematics. - / 1979 - Livros
BOTTEMA, O.; ROTH, B. Theoretical kinematics. Amsterdam: North-Holland Publ. Co., 1979. 572 p. (Applied mathematics and mechanics ;24 ) ISBN 0-444-85124-0 ...
pergamum.cat.cbpf.br/ arquivos/ 10000/ 11800/ 117_11831.htm

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