Table 7.2 (continued)
sð _
uÞ
~
sð_ zÞ
s _
z þ
u
0
ðsÞ
ð
Þ
h
i
; u
0
¼ Àa cos
s
s (—),
~
s (–
– –)
(g)
_
u
3
_
z
3
þ
3
2 a
2
_
z
(h)
j
_
uj _
u
1
À
2
p arccosð_
z=aÞ
ð
Þ ð
_
z
2
þ
1
2 a
2
Þ þ
3
p a_ z
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
1
À ð_
z=aÞ
2
q
; for
j_
zj a
j_
zj_ z þ
1
2 a
2
sgnð_
zÞ for
j_
zj [ a
(
424
7 Special Effects of High-Frequency Excitation
sð _
uÞ
~
sð_ zÞ
s _
z þ
u
0
ðsÞ
ð
Þ
h
i
; u
0
¼ Àa cos
s
s (—),
~
s (–
– –)
(g)
_
u
3
_
z
3
þ
3
2 a
2
_
z
(h)
j
_
uj _
u
1
À
2
p arccosð_
z=aÞ
ð
Þ ð
_
z
2
þ
1
2 a
2
Þ þ
3
p a_ z
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
1
À ð_
z=aÞ
2
q
; for
j_
zj a
j_
zj_ z þ
1
2 a
2
sgnð_
zÞ for
j_
zj [ a
(
424
7 Special Effects of High-Frequency Excitation