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- いおり さくいし
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1 ( ) :
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3 ii All Rights Reserved (c) Yoichi OKABE 1998-present. ( ) ( ) Web
4 iii
5 iv ( ) (G) : : TeX : : : : :
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7 vi
8 vii
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10 1 1 ski snow board parallel turn carving turn 1.1
11 2 1 natural stance vertical equal weighting central weighting TOK *1 4 4 *1
12 edge edging
13 TOK 1.2
14 ( ) 15deg
15 TOP DO LET
16 1.3 7 * 2 regular stance goofy stance 1.4 * SAJ SAJ
17 TOK
18 === ===
19
20 *3 sin cos 1.7 *3 :
21
22 1.8 13
23 Newton law ( ) 1. law of uniform velocity motion : 2. law of accelaration : m a F i
24 ma = F = i F i (2.1) 3. - law of action and reaction : force point of action mass kg weight gravity N F = 0 0 balance - -
25 flat ground - law of action and reaction Newton law ( ) action reaction point of action
26 ) ( - gravity center of gravity
27 *1 5 ( ) arch ( ) - arch - cm *1
28 /10 0 ( ) ( ) weighting weighting axis 5
29 20 2 body axis weighting point 0 2.2
30
31 backward weighting
32 ( ) ( ) 2.4
33 24 2 mg sin θ mg equal weighting neutral position
34 heel weighting toe weighting backward leaning position forward leaning position thumb ball thumb ball
35 26 2 rigid body moment of force torque N i = F i (r i r g ) (2.2) (r i r g ) I d2 θ dt 2 = N = i N i (2.3) angular accelaration m I I I = i m i (r i r g ) 2 (2.4)
36 cm 60 kg 60 kg (0.25 m) 2 = 4 kgm 2 70 cm 25 kgm 2 5kg 50cm 1 km 2
37 28 2 Iω spin 2.4
38 29 3 ( ) ( ) 3.1 flat bahn fall line schuss 3.1
39 backward leaning position forward leaning position arch vertical normal
40 θ mg sin θ m d2 l = mg sin θ (3.1) dt2 l g sin θ t = 0 l = 1 2 g sin θt2 (3.2) ( ) 2.3
41 ( ) a 0 a ma = F + ma 0 (3.3) a = 0 a 0 = a F + F a = 0 (3.4) F a F a = ma (3.5) F a inertia force 0 0 inertia system ma
42 ma terminal velocity
43
44
45
46 absorption
47 38 3 top lowering anticipation ( ) ( )
48
49 speed velocity vector constant speed uniform motion vector uniform circular motion
50 R centripetal force turn centrifugal force
51 42 4 a 0 a ma = F + ma 0 (4.1) a = 0 a 0 = a F + F a = 0 (4.2) F a F a = ma (4.3) F a inertia force 0 0 centrifugal force
52 z h z x θ mg cos θ
53 44 4 mg sin θ mg sin θ 4.3 mg sin θ
54 (m/s) v = 2gh (m) m/s 50km/h v = mgh m 14 m/s=50 km/h
55
56 v z 1 2 mv2 + mgz = E (const) (5.1) F = mdv/dt = mg dr
57 48 5 e =1 e =0.5 e =0 5.1 e 4.4 z = h ( ) v = 2gh (5.2) restitution coefficient e 5.1 e 1 e = 0
58 e = absorption
59 impact force I = dtf impulse F = dp dt (5.3) I = dtf = p (5.4) F I 5.2
60 z x u w 0 ( ) (x, y, z) (u, v, w) u 0 u x = ut (5.5) z = 1 2 gt2 + w 0 t (5.6) w 0 > 0 ( stretching ) stretching jump pressing
61 52 5 up unweighting up unweighting w 0 < 0 ( bending ) bending jump down unweighting down unweighting unweighting w 0 = 0 flat jump x 5.3 H L
62 (m) (m) 5.3 (L=2m H=1m) L H T L = ut (5.7) H = 1 2 gt 2 + w 0 T (5.8) T = L/u u w 0 = gl 2u H u L (5.9) w 0 u u = L ( ) w0 2 2H + 2gH w 0 (5.10)
63 (m/s) (m/s) 5.4 (L=2m H=1m) 5.4 w 0 > 0 w 0 < 0 u L/u T = 1 g ( ) w gH + w 0 (5.11) 5.5 1m 0.45s 0.5s 45 2m/s 30 3m/s
64 (s) (m/s) 5.5 (L=2m H=1m) (m/s) (m/s) 5.6 (L=2m H=1m)
65 (m/s) (m) 5.7 T = L/u = 0.5s (L=2m u=4m/s) w = gt + w 0 = w gH (5.12) 5.11 T H L 5.6 w 0 0 T L u
66 (kgws) (m/s) 5.8 (L=2m H=1m m=70kg) w w 0 = gl 2u Hu L (5.13) H w 0 H 5.4
67 58 5 m w 0 w = w gH m I ( ) I = m w 0 + w gH (5.14) T m/g T mg T mgt I mgt = I 5.8 w 0 > 0 w 0 < 0 I = m 2gH L sin θ = gl/2v 2
68 (m) (m) /1000(kgW) (s) 5.9 6m/s τ = 0.2s m = 70kg 650kgW 15 v =10km/h L =0.41m v =20km/h L =1.6m 30 v =10km/h L =0.79m v =20km/h L =3.2m 45 v =10km/h L =1.1m v =20km/h L =4.4m
69 τ w0 w = w 0 cos(πt/τ) z = w 0 (τ/π) sin(πt/τ) + z 0 m F = mw 0 (π/τ) sin(πt/τ) kgW 10 F mg m(dv/dt) = mg F τ m v = mgτ I v I F τ mgτ I ( )
70 (m) /1000(kgW) (s) ( )
71 (m) /1000(kgW) (s) I/T T = I/mg I/T = mg
72 impulse 0 ( ) ( ) 5.6
73 64 5 n
74 edging edge sliding
75 66 6 angulation 6.1 0
76 friction
77
78
79
80 cm 3m skating
81 ( ) 0
82 F = ma 0 10 cm pinciple of weighting normal to edge
83 ( ) 6.5 (
84 )
85 (a) (c) (b) (a) (b) (c) 6.6
86 (b) (a) (c) 6.7
87 snow board front turn back turn traverse
88
89
90 z x y α 7.1 edging flat bahn x y z
91 garland,girlande (G)
92 γ β α 7.2 yz yz yz x y y z jump turn 7.3 ( ) ( )
93 y x y z parallel turn
94 α β γ I x, y, z α = 0 β = 0 γ x, y, z (0, I sin γ, I cos γ) z β ( I sin β sin γ, I cos β sin γ, I cos γ) α I x = I(cos α sin β sin γ + sin α cos γ) I y = I cos β sin γ I z = I(cos α cos γ sin α sin β sin γ) (7.1) yz I x = 0 sin β = tan α tan γ (7.2) γ y sin γ cos γ α z -cos γ sin α x cos γ cos α (cos γ cos α, sin γ, cos γ sin α) (7.3)
95 86 7 ( ) ( ) 7.4 ( ) x cos γ cos α + y sin γ z cos γ sin α = 0 (7.4) yz (0, I y, I z ) I y sin γ I z cos γ sin α = 0 (7.5) tan γ = sin α I z I y = 0 (7.6) θ z y
96 α γ γ = arctan(sin α/ 3) x 60
97 check
98 89 8 check 8.1 0
99 x 5 F (t) mg F (t) T 0 F (t) I T = I mg (8.1) mgt T
100 wavy.step.tps T ( F = F sin 2πt ) T (8.2) 0 F 0 = mg mg sin(2πt/t ) g(t/2π) 2 sin(2πt/t ) 8.1
101 T w w = gt/2π H T = H/ w w = gh/2π 5 2π 8.2 5
102
103 angulation 8.4
104 y y 8.5 unweighting pressing 0
105 96 8 fig/straight.downweight.eps down unweighting fig/straight.upweight.eps up unweighting
106
107
108
109
110 z x x x 5 x
111 102 9 x x yz yz x x α γ x cos γ cos α + y sin γ z cos γ sin α = 0 (9.1) (I z, I y, I x ) I x cos γ cos α + I y sin γ I z cos γ sin α = 0 (9.2) I x I x cos α = I z sin α I y tan γ cos α (9.3)
112 I x I z I y I y I z I z I y I x tan γ I z I y I x
113 normal ski carving ski curve
114 carve 2010 rocker ski camber rocker rock rocker 20cm cm 10.2 carving turn ( )
115 ( :, : ) 10.1
116 ( :, : ) / 10.1 ( ) 10.2
117 cant bank bend ( ) 10.3
118 ski edge cant
119 *1 *1
120 deg step turn 0 parallel turn
121 ( ) ( ) 10.5 cross over
122 O ( neutral position ) m-20m m m bend 20-30cm 20cm 170cm 30cm 120cm 5
123 normal
124 straight ski normal ski turn spin
125 skid turn drift turn slide turn ( ) 11.1
126 F F a = F 0 skid spin centrifugal force top bend plow (plough) spin
127 tail slide twist spin 11.2 /
128
129 step turn parallel turn jump turn 7
130 twist spin short turn
131 carving turn
132 123 TV cm
133 S S 12.1 bump 12.1 S
134 S ( 23 )
135 S X S S m 4m 4m 23 bump bahn S S
136
137 S 1 saucer throat outfall natural line mogul line
138 sliding pivot spin slide turn *1 skid turn *1 :! 1-12
139 pivot spin flat step cm 50cm 1m 12.3
140 ( )
141 (0) (1) (2) (1-2-3 ) (0)
142 (0-)
143 f f 1 f
144 (f) ( ) bending (f) (1) ( ) (2) (3)
145 f f 1 f ( )
146 bending absorption top lowering
147 CG surface N
148
149 bank turn * *2! 1-5
150 ( )
151 S X 12.8 dolphin turn 12.6
152 ( )
153
154 (3) (0) (1) (2) (3) (0) ( ) (1) (2) (3) porpois turn new line
155
156 *3 S S S reverse turn *3 :
157
158 scoot turn X 12.9 floating turn quick turn 12.11
159 150 12
160 deep snow fresh [virgin] snow powder snow asprin snow 13.1
161 ( ) 13.1 ( ) 13.1 ( )
162
163
164
165 156.1 Web *1 ( ) ( )27M 1/6model 285mm 1710mm 1/6 1 *1 :
166 mm (10-30mm ) Holbein Art Materials Inc. No. CD R L R L 0-200mm
167 158 L= mm R R L (L)1600mm 110mm 70mm 90mm (R)14000mm ( ) ( ) 60mm(-3.7%) 20-25mm 260mm 310mm 110mm 10mm 130mm 300mm 60mm.3 R mm mm R mm 0-5% (L)1500mm 294mm 246mm 281mm (R)8400mm
168 ( ) ( ) 35mm(-2.3%) (tan α ) 20 30
169 160 A absorption , 49, 137 action angular accelaration angulation , 94 anticipation arch , 30 asprin snow B back turn backward leaning position. 25, 30 backward weighting balance bank turn bank bend , 113 bending , 135 bending jump bending body axis bump bahn bump C camber cant carving ski carving turn.... 1, 105, 122 center of gravity central weighting centrifugal force. 41, 42, 117 centripetal force check , 89 constant speed cross over D deep snow dolphin turn down unweighting.. 52, 96 down unweighting.. 52 drift turn E edge , 65 edging , 65, 81 equal weighting , 24 F fall line flat bahn , 81 flat ground flat jump flat step floating turn force forward leaning position.. 25, 30 fresh [virgin] snow friction front turn G garland,girlande (G) 82 goofy stance.. 7 gravity , 17 H heel weighting
170 161 I impact force impulse , 63 inertia force , 42 inertia system J jump turn... 83, 120 L law of accelaration. 14 law of action and reaction , 16 law of uniform velocity motion M mass mogul line moment of force. 26 N natural line natural stance 2 neutral position neutral position new line Newton law 14, 16 normal normal ski. 104, 115 normal O outfall P parallel turn.. 1, 84, 111, 120 pinciple of weighting normal to edge pivot spin.. 129, 130 plow (plough) spin 117 point of action , 16 porpois turn powder snow pressing , 95 Q quick turn R reaction regular stance. 7 restitution coefficient.. 48 reverse turn rigid body rocker ski rocker S saucer schuss scoot turn short turn skating ski skid spin skid turn.. 116, 129 slide turn.. 116, 129 sliding , 129 snow board , 78 speed spin , 115 step turn.. 111, 120 straight ski stretching stretching jump T tail slide terminal velocity throat thumb ball thumb ball toe weighting top bend top lowering , 137 torque traverse turn , 115 twist spin , 121 U uniform circular motion. 40
171 162 uniform motion unweighting , 95 up unweighting , 96 up unweighting.. 52 V vector velocity vertical , 30 W weight weighting weighting axis weighting point (asprin snow) saucer (edge) , 65 pinciple of weighting normal to edge 73 (edging) , 65, 81 centrifugal force. 41, 42, 117 vertical , 30 outfall weight (carving ski) (carving turn) 1, 105, 122 spin , 115 down unweighting.. 52 heel weighting angular accelaration pressing , 95 weighting weighting axis weighting point law of accelaration. 14 inertia system inertia force , 42 (cant) (camber) absorption , 49, 137 (garland,girlande (G)).. 82 equal weighting , 24 (quick turn) (goofy stance) bending , 135 bending jump down unweighting.. 52, 96 angulation , 94 (cross over) impact force backward leaning position. 25, 30 centripetal force rigid body backward weighting (bump) bump bahn top lowering , 137 action point of action , 16 - law of action and reaction , 16 mass traverse (jump turn) , 120 center of gravity terminal velocity gravity , 17 (short turn) stretching stretching jump up unweighting , 96 fresh [virgin] snow deep snow normal flat jump (ski) plow (plough) spin 117 skid spin (skid turn) , 129 (scoot turn) (skating) (step turn) , 120 (straight ski) (snow board) , 78 (slide turn) , 129 forward leaning position.. 25, 30
172 163 anticipation velocity (turn) , 115 body axis up unweighting.. 52 (check) , 89 force moment of force. 26 central weighting neutral position schuss arch , 30 toe weighting (tail slide) constant speed uniform circular motion. 40 uniform motion law of uniform velocity motion (top bend) (drift turn) (torque) (dolphin turn) (natural stance).. 2 (natural line) (neutral position) Newton law 14, 16 (new line) twist spin , 121 (normal) (normal ski) , 115 throat reaction restitution coefficient.. 48 pivot spin.. 129, 130 flat step (fall line) , 114, 119 (flat bahn) , 81 (floating turn) 149 (front turn) balance flat ground (vector) (bending) (bend) , 113 (porpois turn) thumb ball thumb ball friction (mogul line) sliding , 129 impulse , 63 (reverse turn) (regular stance).. 7 (rocker) (rocker ski) (powder snow) (back turn) unweighting , 95 speed (parallel turn)... 1, 84, 111, 120 (bank) (bank turn)
64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () m/s : : a) b) kg/m kg/m k
63 3 Section 3.1 g 3.1 3.1: : 64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () 3 9.8 m/s 2 3.2 3.2: : a) b) 5 15 4 1 1. 1 3 14. 1 3 kg/m 3 2 3.3 1 3 5.8 1 3 kg/m 3 3 2.65 1 3 kg/m 3 4 6 m 3.1. 65 5
ma22-9 u ( v w) = u v w sin θê = v w sin θ u cos φ = = 2.3 ( a b) ( c d) = ( a c)( b d) ( a d)( b c) ( a b) ( c d) = (a 2 b 3 a 3 b 2 )(c 2 d 3 c 3 d
A 2. x F (t) =f sin ωt x(0) = ẋ(0) = 0 ω θ sin θ θ 3! θ3 v = f mω cos ωt x = f mω (t sin ωt) ω t 0 = f ( cos ωt) mω x ma2-2 t ω x f (t mω ω (ωt ) 6 (ωt)3 = f 6m ωt3 2.2 u ( v w) = v ( w u) = w ( u v) ma22-9
#A A A F, F d F P + F P = d P F, F y P F F x A.1 ( α, 0), (α, 0) α > 0) (x, y) (x + α) 2 + y 2, (x α) 2 + y 2 d (x + α)2 + y 2 + (x α) 2 + y 2 =
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215 11 13 1 2 1.1....................... 2 1.2.................... 2 1.3..................... 2 1.4...................... 3 1.5............... 3 1.6........................... 4 1.7.................. 4
1 3 1.1.......................... 3 1............................... 3 1.3....................... 5 1.4.......................... 6 1.5........................ 7 8.1......................... 8..............................
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: 2014 4 10 1 2 2 3 2.1...................................... 3 2.2....................................... 4 2.3....................................... 4 2.4................................ 5 2.5 Free-Body
最新耐震構造解析 ( 第 3 版 ) サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 第 3 版 1 刷発行時のものです.
最新耐震構造解析 ( 第 3 版 ) サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. http://www.morikita.co.jp/books/mid/052093 このサンプルページの内容は, 第 3 版 1 刷発行時のものです. i 3 10 3 2000 2007 26 8 2 SI SI 20 1996 2000 SI 15 3 ii 1 56 6
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85 4 86 Copright c 005 Kumanekosha 4.1 ( ) ( t ) t, t 4.1.1 t Step! (Step 1) (, 0) (Step ) ±V t (, t) I Check! P P V t π 54 t = 0 + V (, t) π θ : = θ : π ) θ = π ± sin ± cos t = 0 (, 0) = sin π V + t +V
1 1.1 [ 1] velocity [/s] 8 4 (1) MKS? (2) MKS? 1.2 [ 2] (1) (42.195k) k 2 (2) (3) k/hr [ 3] t = 0
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1 2 3 4 5 6 7 8 9 10 I II III 11 IV 12 V 13 VI VII 14 VIII. 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 _ 33 _ 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 VII 51 52 53 54 55 56 57 58 59
(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0
1 1 1.1 1.) T D = T = D = kn 1. 1.4) F W = F = W/ = kn/ = 15 kn 1. 1.9) R = W 1 + W = 6 + 5 = 11 N. 1.9) W b W 1 a = a = W /W 1 )b = 5/6) = 5 cm 1.4 AB AC P 1, P x, y x, y y x 1.4.) P sin 6 + P 1 sin 45
All Rights Reserved (c) Yoichi OKABE 1998-present. [ HTML ] [ PDF ] [ ] [ ] [ Web ] [ ]
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( ) 2010 10 9 : 2003 3 18 All Rights Reserved (c) Yoichi OKABE 1998-present. [ HTML ] [ PDF ] [ ] [ ] [ Web ] [ ] 1 1.1 ( ) Y 1.2 ( ) 20cm 4km/hr 400m/hr 400m/4km 1/10 ( 5 ) 2 1/2.5 (20 ) 1/2.5 (20 ) 400m/hr
建築構造力学 I ( 第 3 版 ) サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 第 3 版 1 刷発行時のものです.
建築構造力学 I ( 第 3 版 ) サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. http://www.morikita.co.jp/books/mid/050043 このサンプルページの内容は, 第 3 版 1 刷発行時のものです. i 3 1 38 2 15 2 1 2 2 1 2 2 1977 2007 2015 10 ii F P = mα g =
1. 4cm 16 cm 4cm 20cm 18 cm L λ(x)=ax [kg/m] A x 4cm A 4cm 12 cm h h Y 0 a G 0.38h a b x r(x) x y = 1 h 0.38h G b h X x r(x) 1 S(x) = πr(x) 2 a,b, h,π
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1-2 i ii iii iv v vi vii viii 1Chapter 1-1 1-2 1-3 1-4 1-5 1-6 1-7 1 3 2 4 1-8 1-9 1-10 2Chapter 2-1 2-2 Check! 2-3 Point 2-4 Point 2-5 Point 2-6 1 a a b c 2 a b c b 2-7 c 5 3 4 6 a 2-8 b b c b 7 a c a
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r(t) t r(t) O v(t) = dr(t) dt a(t) = dv(t) dt = d2 r(t) dt 2 r(t), v(t), a(t) t dr(t) dt r(t) =(x(t),y(t),z(t)) = d 2 r(t) dt 2 = ( dx(t) dt ( d 2 x(t) dt 2, dy(t), dz(t) dt dt ), d2 y(t) dt 2, d2 z(t)
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vol5-honma (LSR: Local Standard of Rest) 2.1 LSR R 0 LSR Θ 0 (Galactic Constant) 1985 (IAU: International Astronomical Union) R 0 =8.5
2.2 1 2.2 2.2.1 (LSR: Local Standard of Rest) 2.1 LSR R 0 LSR Θ 0 (Galactic Constant) 1985 (IAU: International Astronomical Union) R 0 =8.5 kpc, Θ 0 = 220 km s 1. (2.1) R 0 7kpc 8kpc Θ 0 180 km s 1 270
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1. ( ) 1.1 t + t [m]{ü(t + t)} + [c]{ u(t + t)} + [k]{u(t + t)} = {f(t + t)} (1) m ü f c u k u 1.2 Newmark β (1) (2) ( [m] + t ) 2 [c] + β( t)2
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i 1 1 2 3 6 6 7 8 10 10 11 12 12 12 13 2 15 15 16 17 17 18 19 20 20 21 ii CONTENTS 25 26 26 28 28 29 30 30 31 32 35 35 35 36 37 40 42 44 44 45 46 49 50 50 51 iii 52 52 52 53 55 56 56 57 58 58 60 60 iv
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i 1 1 2 2 3 3 4 4 4 5 7 8 8 9 9 10 11 13 14 15 16 17 19 ii CONTENTS 2 21 21 22 25 26 32 37 38 39 39 41 41 43 43 43 44 45 46 47 47 49 52 54 56 56 iii 57 59 62 64 64 66 67 68 71 72 72 73 74 74 77 79 81 84
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i 1 1 1 2 2 2 3 4 4 5 6 7 7 9 10 11 12 13 14 15 17 ii CONTENTS 2 19 19 20 23 24 25 25 26 29 29 31 31 33 35 36 36 39 39 41 44 45 46 48 iii 50 50 52 54 55 57 57 59 61 63 64 66 66 67 70 70 73 74 74 77 77
MultiPASS Suite 3.20 使用説明書
TM MultiPASS Suite Ver.3.20 for Windows ii iii Copyright 2000 Canon Inc. ALL RIGHTS RESERVED iv v vi vii viii ix x 1 1 1-1 1 1 2 3 1-2 4 5 1 1-3 1 6 1-4 7 1 8 9 1-5 10 1 11 1-6 1 1-7 1 1-8 2 1 1-9 1 1
8 300 mm 2.50 m/s L/s ( ) 1.13 kg/m MPa 240 C 5.00mm 120 kpa ( ) kg/s c p = 1.02kJ/kgK, R = 287J/kgK kPa, 17.0 C 118 C 870m 3 R = 287J
26 1 22 10 1 2 3 4 5 6 30.0 cm 1.59 kg 110kPa, 42.1 C, 18.0m/s 107kPa c p =1.02kJ/kgK 278J/kgK 30.0 C, 250kPa (c p = 1.02kJ/kgK, R = 287J/kgK) 18.0 C m/s 16.9 C 320kPa 270 m/s C c p = 1.02kJ/kgK, R = 292J/kgK
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t θ, τ, α, β S(, 0 P sin(θ P θ S x cos(θ SP = θ P (cos(θ, sin(θ sin(θ P t tan(θ θ 0 cos(θ tan(θ = sin(θ cos(θ ( 0t tan(θ
4 5 ( 5 3 9 4 0 5 ( 4 6 7 7 ( 0 8 3 9 ( 8 t θ, τ, α, β S(, 0 P sin(θ P θ S x cos(θ SP = θ P (cos(θ, sin(θ sin(θ P t tan(θ θ 0 cos(θ tan(θ = sin(θ cos(θ ( 0t tan(θ S θ > 0 θ < 0 ( P S(, 0 θ > 0 ( 60 θ
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2 3 4 mdv/dt = F cos(-)-mg sin- D -T- B cos mv d/dt = F sin(-)-mg cos+ L- B sin I d 2 /dt 2 = Ms + Md+ Mn FMsMd MnBTm DLg 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Hm H h
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i ii iii iv v vi vii viii ix 3 4 5 6 7 8 9 Column 10 11 12 13 14 15 Column 16 17 18 19 20 21 22 23 24 25 26 Column 27 28 29 30 Column 31 32 33 34 35 36 Column 37 Column 38 39 40 Column 41 42 43 44 45
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III 1 1 2 1 2 3 1 3 4 1 3 1 4 1 3 2 4 1 3 3 6 1 4 6 1 4 1 6 1 4 2 8 1 4 3 9 1 5 10 1 5 1 10 1 5 2 12 1 5 3 12 1 5 4 13 1 6 15 2 1 18 2 1 1 18 2 1 2 19 2 2 20 2 3 22 2 3 1 22 2 3 2 24 2 4 25 2 4 1 25 2
iii iv v vi vii viii ix 1 1-1 1-2 1-3 2 2-1 3 3-1 3-2 3-3 3-4 4 4-1 4-2 5 5-1 5-2 5-3 5-4 5-5 5-6 5-7 6 6-1 6-2 6-3 6-4 6-5 6 6-1 6-2 6-3 6-4 6-5 7 7-1 7-2 7-3 7-4 7-5 7-6 7-7 7-8 7-9 7-10 7-11 8 8-1
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II 29 7 29-7-27 ( ) (7/31) II (http://www.damp.tottori-u.ac.jp/~ooshida/edu/fluid/) [ (3.4)] Navier Stokes [ (6/29)] Navier Stokes 3 [ (6/19)] Reynolds [ (4.6), (45.8)] [ p.186] Navier Stokes I Euler Navier
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MultiPASS B-20 MultiPASS Suite 3.10使用説明書
TM MultiPASS Suite Ver.3.10 for Windows ii iii Copyright 1999 Canon Inc. ALL RIGHTS RESERVED iv v vi vii viii ix x 1 2 3 4 5 6 7 8 9 xi xii 1 1 1-1 1 2 3 1-2 4 5 1 1-3 6 1-4 1 7 8 1-5 9 10 11 1-6 1 1-7
[Ver. 0.2] 1 2 3 4 5 6 7 1 1.1 1.2 1.3 1.4 1.5 1 1.1 1 1.2 1. (elasticity) 2. (plasticity) 3. (strength) 4. 5. (toughness) 6. 1 1.2 1. (elasticity) } 1 1.2 2. (plasticity), 1 1.2 3. (strength) a < b F
() (, y) E(, y) () E(, y) (3) q ( ) () E(, y) = k q q (, y) () E(, y) = k r r (3).3 [.7 ] f y = f y () f(, y) = y () f(, y) = tan y y ( ) () f y = f y
![() (, y) E(, y) () E(, y) (3) q ( ) () E(, y) = k q q (, y) () E(, y) = k r r (3).3 [.7 ] f y = f y () f(, y) = y () f(, y) = tan y y ( ) () f y = f y](/thumbs/85/92979039.jpg "() (, y) E(, y) () E(, y) (3) q ( ) () E(, y) = k q q (, y) () E(, y) = k r r (3).3 [.7 ] f y = f y () f(, y) = y () f(, y) = tan y y ( ) () f y = f y")
5. [. ] z = f(, y) () z = 3 4 y + y + 3y () z = y (3) z = sin( y) (4) z = cos y (5) z = 4y (6) z = tan y (7) z = log( + y ) (8) z = tan y + + y ( ) () z = 3 8y + y z y = 4 + + 6y () z = y z y = (3) z =
A (1) = 4 A( 1, 4) 1 A 4 () = tan A(0, 0) π A π
4 4.1 4.1.1 A = f() = f() = a f (a) = f() (a, f(a)) = f() (a, f(a)) f(a) = f 0 (a)( a) 4.1 (4, ) = f() = f () = 1 = f (4) = 1 4 4 (4, ) = 1 ( 4) 4 = 1 4 + 1 17 18 4 4.1 A (1) = 4 A( 1, 4) 1 A 4 () = tan
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II Karel Švadlenka * [1] 1.1* 5 23 m d2 x dt 2 = cdx kx + mg dt. c, g, k, m 1.2* u = au + bv v = cu + dv v u a, b, c, d R
![II Karel Švadlenka * [1] 1.1* 5 23 m d2 x dt 2 = cdx kx + mg dt. c, g, k, m 1.2* u = au + bv v = cu + dv v u a, b, c, d R](/thumbs/95/125540821.jpg "II Karel Švadlenka * [1] 1.1* 5 23 m d2 x dt 2 = cdx kx + mg dt. c, g, k, m 1.2* u = au + bv v = cu + dv v u a, b, c, d R")
II Karel Švadlenka 2018 5 26 * [1] 1.1* 5 23 m d2 x dt 2 = cdx kx + mg dt. c, g, k, m 1.2* 5 23 1 u = au + bv v = cu + dv v u a, b, c, d R 1.3 14 14 60% 1.4 5 23 a, b R a 2 4b < 0 λ 2 + aλ + b = 0 λ =
2. 2 P M A 2 F = mmg AP AP 2 AP (G > : ) AP/ AP A P P j M j F = n j=1 mm j G AP j AP j 2 AP j 3 P ψ(p) j ψ(p j ) j (P j j ) A F = n j=1 mgψ(p j ) j AP
1. 1 213 1 6 1 3 1: ( ) 2: 3: SF 1 2 3 1: 3 2 A m 2. 2 P M A 2 F = mmg AP AP 2 AP (G > : ) AP/ AP A P P j M j F = n j=1 mm j G AP j AP j 2 AP j 3 P ψ(p) j ψ(p j ) j (P j j ) A F = n j=1 mgψ(p j ) j AP
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2 3 4 (Neural Network) (Deep Learning) (Deep Learning) ( x x = ax + b x x x ? x x x w σ b = σ(wx + b) x w b w b .2.8.6 σ(x) = + e x.4.2 -.2 - -5 5 x w x2 w2 σ x3 w3 b = σ(w x + w 2 x 2 + w 3 x 3 + b) x,
知能科学：ニューラルネットワーク
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2 1 x 1.1: v mg x (t) = v(t) mv (t) = mg 0 x(0) = x 0 v(0) = v 0 x(t) = x 0 + v 0 t 1 2 gt2 v(t) = v 0 gt t x = x 0 + v2 0 2g v2 2g 1.1 (x, v) θ
1 1 1.1 (Isaac Newton, 1642 1727) 1. : 2. ( ) F = ma 3. ; F a 2 t x(t) v(t) = x (t) v (t) = x (t) F 3 3 3 3 3 3 6 1 2 6 12 1 3 1 2 m 2 1 x 1.1: v mg x (t) = v(t) mv (t) = mg 0 x(0) = x 0 v(0) = v 0 x(t)
エクセルカバー入稿用.indd
i 1 1 2 3 5 5 6 7 7 8 9 9 10 11 11 11 12 2 13 13 14 15 15 16 17 17 ii CONTENTS 18 18 21 22 22 24 25 26 27 27 28 29 30 31 32 36 37 40 40 42 43 44 44 46 47 48 iii 48 50 51 52 54 55 59 61 62 64 65 66 67 68
9 5 ( α+ ) = (α + ) α (log ) = α d = α C d = log + C C 5. () d = 4 d = C = C = 3 + C 3 () d = d = C = C = 3 + C 3 =
5 5. 5.. A II f() f() F () f() F () = f() C (F () + C) = F () = f() F () + C f() F () G() f() G () = F () 39 G() = F () + C C f() F () f() F () + C C f() f() d f() f() C f() f() F () = f() f() f() d =
m dv = mg + kv2 dt m dv dt = mg k v v m dv dt = mg + kv2 α = mg k v = α 1 e rt 1 + e rt m dv dt = mg + kv2 dv mg + kv 2 = dt m dv α 2 + v 2 = k m dt d
m v = mg + kv m v = mg k v v m v = mg + kv α = mg k v = α e rt + e rt m v = mg + kv v mg + kv = m v α + v = k m v (v α (v + α = k m ˆ ( v α ˆ αk v = m v + α ln v α v + α = αk m t + C v α v + α = e αk m
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14 i ii iii iv v vi 14 13 86 13 12 28 14 16 14 15 31 (1) 13 12 28 20 (2) (3) 2 (4) (5) 14 14 50 48 3 11 11 22 14 15 10 14 20 21 20 (1) 14 (2) 14 4 (3) (4) (5) 12 12 (6) 14 15 5 6 7 8 9 10 7
ONLINE_MANUAL
JPN ii iii iv v 6 vi vii viii 1 CHAPTER 1-1 1 2 1-2 1 2 3 4 5 1-3 6 7 1-4 2 CHAPTER 2-1 2-2 2-3 1 2 3 4 5 2-4 6 7 8 2-5 9 10 2-6 11 2-7 1 2 2-8 3 (A) 4 5 6 2-9 1 2-10 2 3 2-11 4 5 2-12 1 2 2-13 3 4 5
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JPN ii iii iv v vi 6 vii viii 1 CHAPTER 1-1 1 2 1-2 1 2 3 1-3 4 5 6 7 1-4 2 CHAPTER 2-1 2-2 2-3 1 2 3 4 5 2-4 6 7 8 2-5 9 10 2-6 11 2-7 1 2 2-8 3 (A) 4 5 6 2-9 1 2-10 2 3 2-11 4 5 2-12 1 2 2-13 3 4 5
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2 g g = GM R 2 = 980 cm s ;1 M m potential energy E r E = ; GMm r (1.4) potential = E m = ;GM r (1.5) r F E F = ; de dr (1.6) g g = ; d dr (1.7) g g g
1 1 (gravitation) 1.1 m F a ma = F (1.1) F a m F 1.1 m F a (1.1) m a F m F a m a F F a m 0 0 1.2 (universal gravitation) (potential) M m gravitational force F r F = ; GMm r 2 (1.2) G = 6:67 10 ;8 dyn cm
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I 1 1 1.1 1. 3 m = 3 1 7 µm. cm = 1 4 km 3. 1 m = 1 1 5 cm 4. 5 cm 3 = 5 1 15 km 3 5. 1 = 36 6. 1 = 8.64 1 4 7. 1 = 3.15 1 7 1 =3 1 7 1 3 π 1. 1. 1 m + 1 cm = 1.1 m. 1 hr + 64 sec = 1 4 sec 3. 3. 1 5 kg
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[ ] IC. r, θ r, θ π, y y = 3 3 = r cos θ r sin θ D D = {, y ; y }, y D r, θ ep y yddy D D 9 s96. d y dt + 3dy + y = cos t dt t = y = e π + e π +. t = π y =.9 s6.3 d y d + dy d + y = y =, dy d = 3 a, b
x A Aω ẋ ẋ 2 + ω 2 x 2 = ω 2 A 2. (ẋ, ωx) ζ ẋ + iωx ζ ζ dζ = ẍ + iωẋ = ẍ + iω(ζ iωx) dt dζ dt iωζ = ẍ + ω2 x (2.1) ζ ζ = Aωe iωt = Aω cos ωt + iaω sin
2 2.1 F (t) 2.1.1 mẍ + kx = F (t). m ẍ + ω 2 x = F (t)/m ω = k/m. 1 : (ẋ, x) x = A sin ωt, ẋ = Aω cos ωt 1 2-1 x A Aω ẋ ẋ 2 + ω 2 x 2 = ω 2 A 2. (ẋ, ωx) ζ ẋ + iωx ζ ζ dζ = ẍ + iωẋ = ẍ + iω(ζ iωx) dt dζ
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145 13 13.1 13.1.1 0 m mg S 13.1 F 13.1 F /m S F F 13.1 F mg S F F mg 13.1: m d2 r 2 = F + F = 0 (13.1) 146 13 F = F (13.2) S S S S S P r S P r r = r 0 + r (13.3) r 0 S S m d2 r 2 = F (13.4) (13.3) d 2
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1 (Berry,1975) 2-6 p (S πr 2 )p πr 2 p 2πRγ p p = 2γ R (2.5).1-1 : : : : ( ).2 α, β α, β () X S = X X α X β (.1) 1 2
2005 9/8-11 2 2.2 ( 2-5) γ ( ) γ cos θ 2πr πρhr 2 g h = 2γ cos θ ρgr (2.1) γ = ρgrh (2.2) 2 cos θ θ cos θ = 1 (2.2) γ = 1 ρgrh (2.) 2 2. p p ρgh p ( ) p p = p ρgh (2.) h p p = 2γ r 1 1 (Berry,1975) 2-6
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