Kinematic Chains and Machine Components Design

Kinematic Chains and Machine Components Design
اسم المؤلف
Dan B. Marghitu
التاريخ
14 يناير 2021
المشاهدات
311
التقييم
(لا توجد تقييمات)
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Kinematic Chains and Machine Components Design
Dan B. Marghitu
Department of Mechanical Engineering, Auburn University, Auburn, AL
Table of Contents
Preface ix
About the Author xi
PART I KINEMATIC CHAINS 1
1.1 Introduction 3
1.2 Fundamentals 51
1.3 Position Analysis 109
1.4 Velocity and Acceleration Analysis 141
1.5 Contour Equations 181
1.6 Dynamic Force Analysis 203
1.7 Simulation of Kinematic Chains with Mathematical^ 261
1.8 Packages for Kinematic Chains 337
1.9 Simulation of Kinematic Chains with Working Model 419
PART II MACHINE COMPONENTS 433
11.1 Stress and Deflection 435
11.2 Fatigue 491
11.3 Screws 537
11.4 Rolling Bearings 583
n.5 Lubrication and Sliding Bearings 607
11.6 Gears 639
11.7 Mechanical Springs 723
11.8 Disk Friction and Flexible Belts 755
Index 773
Index
absolute viscosity, 607
acceleration, 144
Acme thread, 541
addendum, 642
angle of friction, 40
angular
acceleration, 145
momentum, 207
velocity, 145, 148
apparent family, 76
application factor, 599
axis of symmetry, 20
B
base circle, 639
belt, 758
body fixed reference frame, 141
bolt
stiffness, 551
preload, 554
bound vector, 4
brake, 755
Cartesian reference frame, 8
Castigliano’s theorem, 462
center distance, 642
centroid of a set, 16
centroidal axes, 20
circular pitch, 643
chamfer, 538
characteristic number, 615
clamping force, 549
773 clearance, 642
closed
joint, 56
kinematic chain, 57
clutch, 755
coefficient of friction, 39
coincident points, 182
column, 463
complex
motion, 52
chains, 59
component, 7
composite areas, 21
compression, 463
conjugate gear-tooth action, 639
connectivity table, 97
constant life fatigue diagram, 497
contact
angle, 589
ratio, 646
contour, 57
equations, 181
Coriolis acceleration, 151, 181
couple, 25
coupler, 60
crank, 60
critical load, 463
cross product, 12
D
d’Alembert principle, 213
dedendum, 642
deflection, 454, 458
degenerate mechanism, 70
degrees of freedom, 51, 61
design charts, 619
diametral
clearance, 586
pitch, 643
direct dynamics, 213
direction
cosines, 10
of a vector, 3
differential, 652
driver, 61
driven link, 61
dot product, 11
dyad, 68
dynamic
load, 660
viscosity, 607
E
efficiency, 545
endurance limit, 491
epicyclic gear train, 647
equilibrium, 34
equivalence of systems, 26
Euler column formula, 465
family, 61
fatigue, 491
failure, 491
strength, 491
first moment, 16
fixed
reference frame, 141
vector, 4
774 Index fluctuating stresses, 494
follower, 61
force closed joint, 56
frame, 53
free-body diagram, 36, 215
free vector, 4
friction force, 38
full joint, 54
fundamental kinematic chain, 67
G
gear, 641
Gerber parabolic relation, 500
gradient factor, 493
ground, 53, 60
Goodman lines, 497
H
half-joint, 55
higher joint, 56
hydrodynamic, 583
hydrostatic, 583
I
idler, 646
inertia
force, 213
moment, 214
inertial reference frame, 151
independent
parameters, 51
contour, 78
inverse dynamics, 213
involute, 639
pressure angle, 640
interference, 644
J
joint, 52
class, 52
constant, 550
K
kinematic
chain, 57
pair, 52
L
lead, 537
angle, 539
Lewis equation, 658
life requirement, 596
line of action of a vector, 3
linear cumulative damage rule, 498
link, 52
load
factor, 494
intensity, 443
loop, 57
lower joint, 56
M
magnitude, 3
major diameter, 537
Mathematical^, 261
Index 775 mass
center, 18
moment of inertia, 211
mechanism, 59
median life, 596
method of decomposition, 17, 19
Miner’s rule, 498
minor diameter, 537
mixed kinematic chain, 58
mobility, 61
mobile reference frame, 141
modified Goodman diagram, 498
modifying factors, 492
module, 643
Mohr’s circle, 436
moment, 21
multiple-threaded screw, 537
multigrade oil, 611
N
Newton’s
first principle, 27
second law, 27
third law, 27
pitch, 537
circle, 641
diameter, 537, 584, 641
point, 641
planet gear, 648
planetary gear train, 647
plane of symmetry, 17
point of application of a
vector, 4
Poisson
formulas, 143
ratio, 441
position vector, 15
power screws, 541
preload force, 549
pressure angle, 642
primary reference frame, 141
principal
directions, 437
stresses, 437
proof
strength, 554
load, 554
O
open kinematic chain, 58
order of a joint, 56
orientation of a vector, 3
Petroff’s equation, 612
pinion, 641
R
radial equivalent force, 598
rated capacity, 596
rating fife, 596
redundant support, 37
reliability factor, 597
resultant, 6, 7
Reynolds equation, 618
776 Index rigid body, 51
ring gear, 648
rocker, 60
rolling bearing, 583
rotation, 51
S
safety factor, 555
scalar, 3
product, 11
triple product, 13
self-locking, 545
sense of a vector, 3
separating force, 550
screw thread, 537
shear, 435
strain, 441
shock force, 599
simple chains, 59
simple couple, 25
singularity functions, 444
slendemess ratio, 466
sliding
bearing, 583
vector, 4
slope, 109
S-N diagram, 491
spring
constant, 550, 729
index, 728
ends, 730
square thread, 541
strain, 441
standard life, 596
stress, 435
fatigue factor, 662
structural diagram, 97
sun gear, 648
surface
factor, 493
endurance, 662
Somerfeld number, 615
system groups, 67
T
tension, 435
tensile stress area, 552
thread angle, 538, 545
three-force member, 37
torque, 25
torsion, 452
translation, 51
transmissible vector, 4
two-force member, 37
TJ
\^
unit vector, 6
V
vector, 3
product, 12
triple product, 14
velocity, 142
ratio, 641
Index 777 virtual wrench, 31
displacement, 738 Working Model, 419
work, 739
viscometer, 609
W Z
wear tooth load, 660 zero vector, 5
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