Although differential screw mechanisms are widely used in precision mechanisms to control fine relative movements, their enumeration and systematic methods of analysis seem less widespread. In this paper methods to support the preliminary design steps of these devices are proposed. In particular, has been proposed an enumeration algorithm of screw mechanisms. This method makes use of kinematic structure relationships deduced by Kraus (1951, Getriebelehre, Verlag Technik, Berlin; 1952, Gründlagen des Systematischen Getriebeaufbaus, Verlag Technik, Berlin). Kinematic and static analyses of differential screw mechanisms are described mainly in the German technical literature. However, such analyses are based on graphical constructions. In the paper graph-based analytical methods of kinematic, static and mechanical efficiency analyses are proposed. Examples of application of the suggested methods are offered.

1.
Kraus
,
R.
, 1951,
Getriebelehre
,
Verlag Technik
,
Berlin
.
2.
Kraus
,
R.
, 1952,
Gründlagen des Systematischen Getriebeaufbaus
,
Verlag Technik
,
Berlin
.
3.
Mruthyunjaya
,
T.
, and
Raghavan
,
M.
, 1984, “
Computer-Aided Analysis of the Structure of Kinematic Chains
,”
Mech. Mach. Theory
0094-114X,
19
, pp.
357
368
.
4.
Reuleaux
,
F.
, 1964,
Kinematics of Machinery
,
Dover
,
New York
.
5.
Jahr
,
W.
, and
Knechtel
,
P.
, 1930,
Grundzüge der Getriebelehre
,
Dr. Max Jänecke Verlagbuchshandlung
,
Leipzig, Germany
.
6.
Jensen
,
P.
, 1991,
Classical and Modern Mechanisms for Engineers and Inventors
,
Marcel Dekker
,
New York
.
7.
Beyer
,
R.
, 1958,
Kinematisch-getriebeanalytisches Praktikum
,
Springer-Verlag
,
Berlin
.
8.
Beyer
,
R.
, 1951, “
Bewegungsverhältnisse und Kraftwirkungen im Dreigliedrigen Gleichachsigen Schraubengetriebe mit drei Schraubenpaaren
,”
Konstruktion
,
3
, pp.
125
136
.
9.
Beyer
,
R.
, 1950, “
Zur Geometrie und Statik des Differentialschraubengetriebes
,”
Feinwerktechnik Mikrotechnik Messtechnik
,
58
, pp.
200
202
.
10.
Brown
,
H.
, 1868.
Five Hundred and Seven Mechanical Movements
,
Brown, Coombs & Co.
,
New York
.
11.
Malavasi
,
C.
, 1946,
750 Meccanismi
,
Ulrico Hoepli
,
Milano
, in Italian.
12.
Chironis
,
N.
, and
Sclater
,
N.
, 1990,
Mechanisms and Mechanical Devices Sourcebook
,
McGraw-Hill
,
New York
.
13.
Artobolevsky
,
I.
, 1975,
Mechanisms in Modern Engineering Design
,
MIR
,
Moscow
, Vol.
2
.
You do not currently have access to this content.