An Introduction to Solving Engineering Problems With Matlab

8/3/2019 An Introduction to Solving Engineering Problems With Matlab

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10, 000 1000 100, 000 1
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1000 10, 000


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x y

x y x + y

xy xy

xy

ex

10(x) (x) 2(x) (x) (x)


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x

52 + 42 (5 + 4)2 2+345 10(100) (4(2 + 3))

2+345

5


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c = d

pi

1


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x d x d

d =34.63

x5.162

2.54

d x

x = 0.10 x = 0.15 x = 0.20

Vt = 2mgrACd

m g r A Cd
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m

m = 40 m = 80 m = 120

g = 9.8 r = 1.2 A = 0.5 Cd = 1


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>> A = [1 2 3 4 56 7 8 9 10

11 12 13 14 1516 17 18 19 20]

A = 1 2 3 4 56 7 8 9 10

11 12 13 14 1516 17 18 19 20

=

38

1318

z1 = 7 + j z2 = 2ej

z
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Re(z) Im(z) mag(z) (z)

z

MN

M1 MT

det(M)

A =

1 11 1

AA =

2 22 2

12 12

12 12

=

1 11 1

y(n) = 1sin(x(n))


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70 0

0 102.729.1 92.455.1 82.178.0 71.997.9 61.6114.7 51.3


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128.5 41.1139.2 30.8146.9 20.5151.5 10.3

153.0 0.0


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H2

H2

0 102.746.3 92.487.8 82.1124.4 71.9156.1 61.6182.9 51.3204.9 41.1222.0 30.8

234.2 20.5241.5 10.3244.0 0.0

(x)


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R2 = 1000 Req R1 100 3000

0.0300 22.0

0.0633 21.50.0967 20.50.1300 18.80.1633 17.00.1967 14.50.2300 12.00.2633 8.00.2967 3.0

h = 22 12gt2

h t g = 386.4 ins2

n


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y = x2 x [2, 2]


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3D x y 3D (x,y,z) z x y

3D

H2


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.m
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1.0 2.0

1.0 2.0.


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C


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f

y = (2f t)

f = 2 t

0 4

0.7 1 1.5 2

r w s r w

s = 2rw

s w r 0.5 0.7 1.6 3.2 4.0

c a b a b

a b

1 11 22 34 12 2


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h b d

NL Vcyl Vcube

Vcyl = h(b2)

2

Vcube = d3

NL

NL =Vcyl

Vcube

d = 1.54 b = 8 h = 14

NL

d b h 50

NL

NL b = 8 h = 14 d 1.0 2.0

NL d b = 8 h = 14

NL d = 1.54 b h


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t s
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a m

s2 c

a = 0.0036c2(c)

(c) 1 c > 0 1 c < 0
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0 50 51

1 50 50


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11

10 1 10 1 10 1 n 0 n

24

60 60 7 24 60 60 = 604800


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12 15 8 12


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v


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v v


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0.01 0.01

n

1 4 16.005 24 14.0025 99 12.70100 11.00

1 9 24.6410 49 24.32


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50 99 24.07100 23.33

1 24 17.9825 49 16.7850 15.78

1 9 12.5010 99 10.42100 9.62

45.00+ 16.00+ 24.64+ 17.98+ 12.50 = 116.12

20

45.00+ 14.00+ 24.32+ 17.98+ 10.42 = 109.72

20

1 150


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1 29 40.0030 59 30.0060 22.00

1 9 20.0010 24 18.0025 74 16.0075 15.00

a 0

a

6 5 < 6

p1 p2


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3 10


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bn n Pn n fn n

fn r

fn = rbn

r = (1 +APR

100)1

12 1

1 10 20 10

pn = ((r+ 0.01)bn, 10)

n + 1 n

bn+1 = bn + fn pn

14.9

r

Pn
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n + 1 n

c


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An Introduction to Solving Engineering Problems With Matlab

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