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6
C
g
geometricalmatrixofconstants
examplesofstiffmotions(allbeingnotdenotedinfigures):
O
α
e
rotationoflineebydirectangle
α
T
we
translationoflineebyvectorw
a(u)·p(u)dot(inner)productofvectorsa(u)andp(u)
a(u)xp(u)oraxpcrossproductsofvectors:a(u)andp(u)oraandp
a
(u
)
=[x
h
(u),y
h
(u),z
h
(u)]setofvectorsexpressingfunctionalrelations
correspondingtoaline
x
h
(u),y
h
(u),z
h
(u)threefunctionswhosediversifiedvaluesrepresentmeasures
ofcomponentsofvariousvectors
p
=[l
p
,m
p
,n
p
]vectorwhosecomponentsarel
p
,m
p
,n
p
l
p
,m
p
,n
p
threeconstantsrepresentingthemeasuresofcomponentsofavector,
wherethesubscriptisanyletterornumber
d,|E
s
E
1
|,E
s
E
1
possibledenotationsofthelengthoflinearsectionsorthe
distancesbetweentwoconsideredpoints
{
τ
ti
},{
τ
wj
},bundlesandofplanes
τ
ti
,
τ
wj
{t
i
},{w
j
},twofamiliesofrulingst
i
,w
j