EK C. BÖLÜM 5.1 DE ELDE EDİLEN ARA TAŞIMA MATRİSİ

99

1 24

I

24+ a⁴- 4a³j - 12j²+ j⁴- 4a j

I

-6+ j²

M

+6a²

I

-2+ j²

MM

, 1 120

I

- a⁵+5a⁴j +10a²j

I

-6+ j²

M

- 10a³

I

-2+ j²

M

+ j

I

120- 20j²+ j⁴

M

- 5a

I

24- 12j²+ j⁴

MM

, - 1 24

H

a - j

L

I

-12+ a²- 2a j + j²

M

, 1 7680

I

-720a - 2400a³- 128a⁵+720a l²- 160a³ l²+256a⁵ l²+720j +7200a²j +640a⁴j -720l²j +480a²l²j - 1280a⁴ l²j - 7200a j²- 1280a³j²- 480a l²j²+2560a³ l²j²+2400j³+ 1280a²j³+160l²j³- 2560a² l²j³- 640a j⁴+1280a l²j⁴+128j⁵- 256l²j⁵ -80

I

-27+ a⁴

I

-2+4 l²

M

+8a³

I

1- 2l²

M

j - 6j²- 2j⁴+ l²

I

42- 24j²+4j⁴

M

+ 4a j

I

3+2j²- 4l²

I

-3+ j²

MM

+6a²

I

-1- 2j²+4l²

I

-1+ j²

MMM

Cos

@

D

300

I

-1+ l²

MH

a - j

L

Cos

@

D

- 240aCos

@

H

a - j

LD

+240a l²Cos

@

H

a - j

LD

+240j Cos

@

H

a - j

LD

-240l²j Cos

@

H

a - j

LD

- 2160 Cos

@

D

+960a²Cos

@

D

+3360l²Cos

@

D

- 960a² l²Cos

@

D

-1920a j Cos

@

D

+1920a l²j Cos

@

D

+960j²Cos

@

D

- 960l²j²Cos

@

D

- 240aCos

@

H

a + j

LD

240a l²Cos

@

H

a + j

LD

+240j Cos

@

H

a + j

LD

- 240 l²j Cos

@

H

a + j

LD

+1440aSin

@

D

-320a³Sin

@

D

- 3840a l²Sin

@

D

+640a³l²Sin

@

D

- 1440j Sin

@

D

+960a²j Sin

@

D

3840l²j Sin

@

D

- 1920a²l²j Sin

@

D

- 960a j²Sin

@

D

+1920a l²j²Sin

@

D

320j³Sin

@

D

- 640l²j³Sin

@

D

+255 Sin

@

D

- 120a²Sin

@

D

- 255l²Sin

@

D

120a²l²Sin

@

D

+240a j Sin

@

D

- 240a l²j Sin

@

D

- 120j²Sin

@

D

+120 l²j²Sin

@

D

480 Sin

@

H

a - j

LD

- 480l²Sin

@

H

a - j

LD

+2880aSin

@

D

- 2880a l²Sin

@

D

- 2880j Sin

@

D

2880l²j Sin

@

D

- 15 Sin

@

D

+15l²Sin

@

D

- 240 Sin

@

H

a + j

LD

+240l²Sin

@

H

a + j

LDM

, 1

I

H

a - j

L

Cos

@

D

- 2j

I

6 Cos

@

D

H

2a - j

LI

4a²- 4a j +2j²- 3 Sin

@

DMM

- 9 Sin

@

D

I

-2a³+6 Cos

@

D

+3aSin

@

DM

+9 Sin

@

DM

, 1

240

I

-15

I

-3+ a²- 2a j + j²

M

Cos

@

D

+15

I

-3+ a²- 2a j + j²

M

Cos

@

D

-2

H

a - j

LI

H

a - j

L

- 45 Cos

@

D

Sin

@

D

- 45 Cos

@

D

Sin

@

DMM=

9

1 120

I

a⁵- 5a⁴j - 10a²j

I

-6+ j²

M

+10a³

I

-2+ j²

M

- j

I

120- 20j²+ j⁴

M

+5a

I

24- 12j²+ j⁴

MM

, 1 24

I

24+ a⁴- 4a³j - 12j²+ j⁴- 4a j

I

-6+ j²

M

+6a²

I

-2+ j²

MM

, 1 120

I

- a⁵+5a⁴j +10a²j

I

-6+ j²

M

- 10a³

I

-2+ j²

M

+ j

I

120- 20j²+ j⁴

M

- 5a

I

24- 12j²+ j⁴

MM

, 1 384

I

36+360a²+32a⁴- 36 l²+24a²l²- 64a⁴ l²- 720a j - 128a³j - 48a l²j +256a³l²j + 360j²+192a²j²+24l²j²- 384a²l²j²- 128a j³+256a l²j³+32j⁴- 64l²j⁴+ 16

H

a - j

LI

-3+ a²

I

-2+4l²

M

+ a

I

4- 8 l²

M

j - 2j²+4 l²

I

-3+ j²

MM

Cos

@

D

- 15

I

-1+ l²

M

Cos

@

D

-36 Cos

@

H

a - j

LD

+36l²Cos

@

H

a - j

LD

+192aCos

@

D

- 192a l²Cos

@

D

- 192j Cos

@

D

192l²j Cos

@

D

- 3 Cos

@

D

+3 l²Cos

@

D

- 12 Cos

@

H

a + j

LD

+12l²Cos

@

H

a + j

LD

-72 Sin

@

D

+48a²Sin

@

D

+192l²Sin

@

D

- 96a² l²Sin

@

D

- 96a j Sin

@

D

192a l²j Sin

@

D

+48j²Sin

@

D

- 96 l²j²Sin

@

D

+12aSin

@

D

- 12a l²Sin

@

D

-12j Sin

@

D

+12l²j Sin

@

D

- 24aSin

@

H

a - j

LD

+24a l²Sin

@

H

a - j

LD

+24j Sin

@

H

a - j

LD

-24l²j Sin

@

H

a - j

LD

+72 Sin

@

D

- 96a²Sin

@

D

- 192l²Sin

@

D

+96a² l²Sin

@

D

192a j Sin

@

D

- 192a l²j Sin

@

D

- 96j²Sin

@

D

+96l²j²Sin

@

D

+24aSin

@

H

a + j

LD

3840

I

360a +1200a³- 360a l²+80a³l²- 128a⁵ l²- 360j - 3600a²j +360l²j - 240a²l²j +

640a⁴l²j +3600a j²+240a l²j²- 1280a³l²j²- 1200j³- 80l²j³+1280a²l²j³- 640a l²j⁴+

128l²j⁵+480

I

a²

I

-1+2 l²

M

+ a

I

2- 4l²

M

j - j²+2l²

I

-2+ j²

MM

Cos

@

D

+30

I

-1+ l²

MH

a - j

L

Cos

@

D

120aCos

@

H

a - j

LD

- 120a l²Cos

@

H

a - j

LD

- 120j Cos

@

H

a - j

LD

+120l²j Cos

@

H

a - j

LD

480a²Cos

@

D

+1920l²Cos

@

D

- 960a² l²Cos

@

D

- 960a j Cos

@

D

+1920a l²j Cos

@

D

480j²Cos

@

D

- 960l²j²Cos

@

D

- 30aCos

@

D

+30a l²Cos

@

D

+30j Cos

@

D

-30l²j Cos

@

D

- 120aCos

@

H

a + j

LD

+120a l²Cos

@

H

a + j

LD

+120j Cos

@

H

a + j

LD

-120l²j Cos

@

H

a + j

LD

- 160a³Sin

@

D

- 1920a l²Sin

@

D

+320a³l²Sin

@

D

+480a²j Sin

@

D

1920l²j Sin

@

D

- 960a²l²j Sin

@

D

- 480a j²Sin

@

D

+960a l²j²Sin

@

D

+160j³Sin

@

D

-320l²j³Sin

@

D

+45 Sin

@

D

- 45l²Sin

@

D

- 240 Sin

@

H

a - j

LD

+240l²Sin

@

H

a - j

LD

-160a³Sin

@

D

- 1920a l²Sin

@

D

+320a³l²Sin

@

D

+480a²j Sin

@

D

+1920l²j Sin

@

D

-960a²l²j Sin

@

D

- 480a j²Sin

@

D

+960a l²j²Sin

@

D

+160j³Sin

@

D

- 320l²j³Sin

@

D

-45 Sin

@

D

+45l²Sin

@

DM

, 1

I

2a⁴- 8a³j +12a²j²- 8a j³+2j⁴+3

H

a - j

L

Cos

@

D

H

a - j

L

Cos

@

D

- 9 Cos

@

D

Sin

@

D

9 Cos

@

D

Sin

@

D

- 6a²Cos

@

D

Sin

@

D

- 6j²Cos

@

D

Sin

@

D

+6a j Sin

@

DM=

9

0, 0, 1, 1 7680

I

-17520a - 4480a³- 256a⁵+5520a l²+3840a³ l²+768a⁵ l²- 3360a l⁴+640a³l⁴ -512a⁵l⁴+17520j +13440a²j +1280a⁴j - 5520l²j - 11520a² l²j - 3840a⁴ l²j +3360l⁴j -1920a²l⁴j +2560a⁴ l⁴j - 13440a j²- 2560a³j²+11520a l²j²+7680a³ l²j²+1920a l⁴j² -5120a³l⁴j²+4480j³+2560a²j³- 3840 l²j³- 7680a² l²j³- 640l⁴j³+5120a² l⁴j³ -1280a j⁴+3840a l²j⁴- 2560a l⁴j⁴+256j⁵- 768l²j⁵+512l⁴j⁵+ 5

I

1443+64a⁴

I

1- 3 l²+2l⁴

M

- 256a³

I

1- 3 l²+2l⁴

M

j +144j²+64j⁴- 6l²

I

385- 112j²+32j⁴

M

+ l⁴

I

1635- 816j²+128j⁴

M

- 32a

I

-1+ l²

M

I

-9- 8j²+ l²

I

-51+16j²

MM

+ 48a²

I

-1+ l²

MI

-3- 8j²+ l²

I

-17+16j²

MMM

Cos

@

D

- 600

I

-1+ l²

M

H

a - j

L

Cos

@

D

-5 Cos

@

D

+10l²Cos

@

D

- 5 l⁴Cos

@

D

+105 Cos

@

H

a - 2j

LD

- 210l²Cos

@

H

a - 2j

LD

105l⁴Cos

@

H

a - 2j

LD

- 105 Cos

@

4a - 2j

D

+210l²Cos

@

4a - 2j

D

- 105 l⁴Cos

@

4a - 2j

D

-720aCos

@

H

a - j

LD

+160a³Cos

@

H

a - j

LD

+3120a l²Cos

@

H

a - j

LD

- 480a³ l²Cos

@

H

a - j

LD

-2400a l⁴Cos

@

H

a - j

LD

+320a³ l⁴Cos

@

H

a - j

LD

+720j Cos

@

H

a - j

LD

- 480a²j Cos

@

H

a - j

LD

-3120l²j Cos

@

H

a - j

LD

+1440a² l²j Cos

@

H

a - j

LD

+2400l⁴j Cos

@

H

a - j

LD

-960a²l⁴j Cos

@

H

a - j

LD

+480a j²Cos

@

H

a - j

LD

- 1440a l²j²Cos

@

H

a - j

LD

960a l⁴j²Cos

@

H

a - j

LD

- 160j³Cos

@

H

a - j

LD

+480l²j³Cos

@

H

a - j

LD

- 320l⁴j³Cos

@

H

a - j

LD

-7215 Cos

@

D

- 720a²Cos

@

D

- 320a⁴Cos

@

D

+11550 l²Cos

@

D

- 3360a²l²Cos

@

D

960a⁴l²Cos

@

D

- 8175l⁴Cos

@

D

+4080a² l⁴Cos

@

D

- 640a⁴ l⁴Cos

@

D

+1440a j Cos

@

D

1280a³j Cos

@

D

+6720a l²j Cos

@

D

- 3840a³l²j Cos

@

D

- 8160a l⁴j Cos

@

D

2560a³l⁴j Cos

@

D

- 720j²Cos

@

D

- 1920a²j²Cos

@

D

- 3360l²j²Cos

@

D

5760a²l²j²Cos

@

D

+4080l⁴j²Cos

@

D

- 3840a² l⁴j²Cos

@

D

+1280a j³Cos

@

D

-3840a l²j³Cos

@

D

+2560a l⁴j³Cos

@

D

- 320j⁴Cos

@

D

+960l²j⁴Cos

@

D

-640l⁴j⁴Cos

@

D

- 600aCos

@

D

+1200a l²Cos

@

D

- 600a l⁴Cos

@

D

+600j Cos

@

D

-1200l²j Cos

@

D

+600l⁴j Cos

@

D

+5 Cos

@

D

- 10 l²Cos

@

D

+5l⁴Cos

@

D

-240aCos

@

H

a + j

LD

+160a³Cos

@

H

a + j

LD

+1680a l²Cos

@

H

a + j

LD

- 480a³ l²Cos

@

H

a + j

LD

-1440a l⁴Cos

@

H

a + j

LD

+320a³ l⁴Cos

@

H

a + j

LD

+240j Cos

@

H

a + j

LD

- 480a²j Cos

@

H

a + j

LD

-1680l²j Cos

@

H

a + j

LD

+1440a² l²j Cos

@

H

a + j

LD

+1440l⁴j Cos

@

H

a + j

LD

960a l⁴j²Cos

@

H

a + j

LD

- 160j³Cos

@

H

a + j

LD

+480l²j³Cos

@

H

a + j

LD

- 320l⁴j³Cos

@

H

a + j

LD

-45 Cos

@

H

2a + j

LD

+90l²Cos

@

H

2a + j

LD

- 45l⁴Cos

@

H

2a + j

LD

+45 Cos

@

H

a +2j

LD

-90 l²Cos

@

H

a +2j

LD

+45l⁴Cos

@

H

a +2j

LD

+3120aSin

@

D

- 640a³Sin

@

D

- 11040a l²Sin

@

D

1920a³l²Sin

@

D

+7920a l⁴Sin

@

D

- 1280a³ l⁴Sin

@

D

- 3120j Sin

@

D

+1920a²j Sin

@

D

11040 l²j Sin

@

D

- 5760a²l²j Sin

@

D

- 7920l⁴j Sin

@

D

+3840a² l⁴j Sin

@

D

-1920a j²Sin

@

D

+5760a l²j²Sin

@

D

- 3840a l⁴j²Sin

@

D

+640j³Sin

@

D

- 1920l²j³Sin

@

D

1280l⁴j³Sin

@

D

+360 Sin

@

D

- 240a²Sin

@

D

- 1020l²Sin

@

D

+480a² l²Sin

@

D

660l⁴Sin

@

D

- 240a²l⁴Sin

@

D

+480a j Sin

@

D

- 960a l²j Sin

@

D

+480a l⁴j Sin

@

D

-240j²Sin

@

D

+480l²j²Sin

@

D

- 240l⁴j²Sin

@

D

+60aSin

@

H

a - 2j

LD

- 120a l²Sin

@

H

a - 2j

LD

60a l⁴Sin

@

H

a - 2j

LD

- 60j Sin

@

H

a - 2j

LD

+120l²j Sin

@

H

a - 2j

LD

- 60l⁴j Sin

@

H

a - 2j

LD

-60aSin

@

4a - 2j

D

+120a l²Sin

@

4a - 2j

D

- 60a l⁴Sin

@

4a - 2j

D

+60j Sin

@

4a - 2j

D

-120l²j Sin

@

4a - 2j

D

+60l⁴j Sin

@

4a - 2j

D

+1440 Sin

@

H

a - j

LD

- 480a²Sin

@

H

a - j

LD

-4320l²Sin

@

H

a - j

LD

+1440a² l²Sin

@

H

a - j

LD

+2880l⁴Sin

@

H

a - j

LD

- 960a² l⁴Sin

@

H

a - j

LD

960a j Sin

@

H

a - j

LD

- 2880a l²j Sin

@

H

a - j

LD

+1920a l⁴j Sin

@

H

a - j

LD

- 480j²Sin

@

H

a - j

LD

1440l²j²Sin

@

H

a - j

LD

- 960l⁴j²Sin

@

H

a - j

LD

+3120aSin

@

D

- 640a³Sin

@

D

-11040a l²Sin

@

D

+1920a³l²Sin

@

D

+7920a l⁴Sin

@

D

- 1280a³ l⁴Sin

@

D

- 3120j Sin

@

D

1920a²j Sin

@

D

+11040 l²j Sin

@

D

- 5760a²l²j Sin

@

D

- 7920l⁴j Sin

@

D

3840a²l⁴j Sin

@

D

- 1920a j²Sin

@

D

+5760a l²j²Sin

@

D

- 3840a l⁴j²Sin

@

D

640j³Sin

@

D

- 1920l²j³Sin

@

D

+1280l⁴j³Sin

@

D

- 360 Sin

@

D

+240a²Sin

@

D

1020l²Sin

@

D

- 480a²l²Sin

@

D

- 660l⁴Sin

@

D

+240a² l⁴Sin

@

D

- 480a j Sin

@

D

960a l²j Sin

@

D

- 480a l⁴j Sin

@

D

+240j²Sin

@

D

- 480l²j²Sin

@

D

+240l⁴j²Sin

@

D

-60aSin

@

H

2a + j

LD

+120a l²Sin

@

H

2a + j

LD

- 60a l⁴Sin

@

H

2a + j

LD

+60j Sin

@

H

2a + j

LD

-120l²j Sin

@

H

2a + j

LD

+60l⁴j Sin

@

H

2a + j

LD

- 60aSin

@

H

a +2j

LD

+120a l²Sin

@

H

a +2j

LD

-60a l⁴Sin

@

H

a +2j

LD

+60j Sin

@

H

a +2j

LD

- 120l²j Sin

@

H

a +2j

LD

+60l⁴j Sin

@

H

a +2j

LDM

, 1

384

I

-36- 360a²- 32a⁴+36l²- 24a² l²+64a⁴ l²+720a j +128a³j +48a l²j - 256a³l²j

-360j²- 192a²j²- 24l²j²+384a²l²j²+128a j³- 256a l²j³- 32j⁴+64 l²j⁴

-192

I

-1+ l²

MH

a - j

L

Cos

@

D

- 3

I

-1+ l²

M

Cos

@

D

+36 Cos

@

H

a - j

LD

- 36l²Cos

@

H

a - j

LD

-48aCos

@

D

- 32a³Cos

@

D

- 192a l²Cos

@

D

+64a³ l²Cos

@

D

+48j Cos

@

D

+96a²j Cos

@

D

192l²j Cos

@

D

- 192a²l²j Cos

@

D

- 96a j²Cos

@

D

+192a l²j²Cos

@

D

+32j³Cos

@

D

-64l²j³Cos

@

D

- 15 Cos

@

D

+15 l²Cos

@

D

+12 Cos

@

H

a + j

LD

- 12 l²Cos

@

H

a + j

LD

-72 Sin

@

D

+96a²Sin

@

D

+192l²Sin

@

D

- 96a² l²Sin

@

D

- 192a j Sin

@

D

192a l²j Sin

@

D

+96j²Sin

@

D

- 96 l²j²Sin

@

D

+24aSin

@

H

a - j

LD

- 24a l²Sin

@

H

a - j

LD

-24j Sin

@

H

a - j

LD

+24 l²j Sin

@

H

a - j

LD

+72 Sin

@

D

- 48a²Sin

@

D

- 192l²Sin

@

D

96a²l²Sin

@

D

+96a j Sin

@

D

- 192a l²j Sin

@

D

- 48j²Sin

@

D

+96l²j²Sin

@

D

12aSin

@

D

- 12a l²Sin

@

D

- 12j Sin

@

D

+12l²j Sin

@

D

+24aSin

@

H

a + j

LD

-24a l²Sin

@

H

a + j

LD

- 24j Sin

@

H

a + j

LD

+24l²j Sin

@

H

a + j

LDM

, 1

7680

I

-720a - 2400a³- 128a⁵+720a l²- 160a³ l²+256a⁵ l²+720j +7200a²j +640a⁴j

-720l²j +480a² l²j - 1280a⁴ l²j - 7200a j²- 1280a³j²- 480a l²j²+2560a³ l²j²+2400j³+

1280a²j³+160l²j³- 2560a²l²j³- 640a j⁴+1280a l²j⁴+128j⁵- 256l²j⁵+

240

I

9+4a²

I

-1+ l²

M

- 8a

I

-1+ l²

M

j - 4j²+2 l²

I

-7+2j²

MM

Cos

@

D

+240

I

-1+ l²

MH

a - j

L

Cos

@

H

a - j

LD

-2160 Cos

@

D

- 480a²Cos

@

D

- 160a⁴Cos

@

D

+3360l²Cos

@

D

- 1920a²l²Cos

@

D

320a⁴l²Cos

@

D

+960a j Cos

@

D

+640a³j Cos

@

D

+3840a l²j Cos

@

D

- 1280a³ l²j Cos

@

D

-480j²Cos

@

D

- 960a²j²Cos

@

D

- 1920 l²j²Cos

@

D

+1920a²l²j²Cos

@

D

+640a j³Cos

@

D

160j⁴Cos

@

D

+320l²j⁴Cos

@

D

- 300aCos

@

D

+300a l²Cos

@

D

+300j Cos

@

D

-300l²j Cos

@

D

- 240aCos

@

H

a + j

LD

+240a l²Cos

@

H

a + j

LD

+240j Cos

@

H

a + j

LD

-240l²j Cos

@

H

a + j

LD

+2880aSin

@

D

- 2880a l²Sin

@

D

- 2880j Sin

@

D

+2880l²j Sin

@

D

15 Sin

@

D

- 15l²Sin

@

D

+480 Sin

@

H

a - j

LD

- 480l²Sin

@

H

a - j

LD

+1440aSin

@

D

-320a³Sin

@

D

- 3840a l²Sin

@

D

+640a³l²Sin

@

D

- 1440j Sin

@

D

+960a²j Sin

@

D

3840l²j Sin

@

D

- 1920a²l²j Sin

@

D

- 960a j²Sin

@

D

+1920a l²j²Sin

@

D

+320j³Sin

@

D

-640l²j³Sin

@

D

- 255 Sin

@

D

+120a²Sin

@

D

+255l²Sin

@

D

- 120a² l²Sin

@

D

-240a j Sin

@

D

+240a l²j Sin

@

D

+120j²Sin

@

D

- 120l²j²Sin

@

D

+240 Sin

@

H

a + j

LD

-240l²Sin

@

H

a + j

LDM=

9

0, 0, 0, 1 384

I

420+360a²+32a⁴- 72 l²- 336a²l²- 96a⁴ l²+36 l⁴- 24a² l⁴+64a⁴l⁴- 720a j - 128a³j + 672a l²j +384a³ l²j +48a l⁴j - 256a³ l⁴j +360j²+192a²j²- 336l²j²- 576a² l²j² -24l⁴j²+384a² l⁴j²- 128a j³+384a l²j³- 256a l⁴j³+32j⁴- 96l²j⁴+64l⁴j⁴ -16

I

-1+ l²

MH

a - j

LI

-3+ a²

I

-2+4l²

M

+ a

I

4- 8l²

M

j - 2j²+4l²

I

-3+ j²

MM

Cos

@

D

+ 15

I

-1+ l²

M

Cos

@

D

- 36 Cos

@

H

a - j

LD

+72l²Cos

@

H

a - j

LD

- 36 l⁴Cos

@

H

a - j

LD

192aCos

@

D

- 384a l²Cos

@

D

+192a l⁴Cos

@

D

- 192j Cos

@

D

+384l²j Cos

@

D

-192l⁴j Cos

@

D

- 3 Cos

@

D

+6 l²Cos

@

D

- 3l⁴Cos

@

D

- 12 Cos

@

H

a + j

LD

+24l²Cos

@

H

a + j

LD

-12l⁴Cos

@

H

a + j

LD

- 72 Sin

@

D

+48a²Sin

@

D

+264l²Sin

@

D

- 144a² l²Sin

@

D

-192l⁴Sin

@

D

+96a²l⁴Sin

@

D

- 96a j Sin

@

D

+288a l²j Sin

@

D

- 192a l⁴j Sin

@

D

48j²Sin

@

D

- 144l²j²Sin

@

D

+96l⁴j²Sin

@

D

+12aSin

@

D

- 24a l²Sin

@

D

12a l⁴Sin

@

D

- 12j Sin

@

D

+24l²j Sin

@

D

- 12l⁴j Sin

@

D

- 24aSin

@

H

a - j

LD

48a l²Sin

@

H

a - j

LD

- 24a l⁴Sin

@

H

a - j

LD

+24j Sin

@

H

a - j

LD

- 48 l²j Sin

@

H

a - j

LD

24l⁴j Sin

@

H

a - j

LD

+72 Sin

@

D

- 96a²Sin

@

D

- 264 l²Sin

@

D

+192a² l²Sin

@

D

192l⁴Sin

@

D

- 96a²l⁴Sin

@

D

+192a j Sin

@

D

- 384a l²j Sin

@

D

+192a l⁴j Sin

@

D

-96j²Sin

@

D

+192l²j²Sin

@

D

- 96l⁴j²Sin

@

D

+24aSin

@

H

a + j

LD

- 48a l²Sin

@

H

a + j

LD

24a l⁴Sin

@

H

a + j

LD

- 24j Sin

@

H

a + j

LD

+48l²j Sin

@

H

a + j

LD

- 24 l⁴j Sin

@

H

a + j

LDM

, 1 3840

I

4200a +560a³+32a⁵- 720a l²- 1120a³l²- 128a⁵ l²+360a l⁴- 80a³ l⁴+128a⁵l⁴ -4200j - 1680a²j - 160a⁴j +720 l²j +3360a²l²j +640a⁴ l²j - 360l⁴j +240a²l⁴j -640a⁴l⁴j +1680a j²+320a³j²- 3360a l²j²- 1280a³ l²j²- 240a l⁴j²+1280a³ l⁴j² -560j³- 320a²j³+1120l²j³+1280a²l²j³+80l⁴j³- 1280a²l⁴j³+160a j⁴- 640a l²j⁴+ 640a l⁴j⁴- 32j⁵+128 l²j⁵- 128l⁴j⁵ -480

I

-1+ l²

MI

a²

I

-1+2l²

M

+ a

I

2- 4l²

M

j - j²+2l²

I

-2+ j²

MM

Cos

@

D

- 30

I

-1+ l²

M

H

a - j

L

Cos

@

D

120aCos

@

H

a - j

LD

- 240a l²Cos

@

H

a - j

LD

+120a l⁴Cos

@

H

a - j

LD

- 120j Cos

@

H

a - j

LD

240l²j Cos

@

H

a - j

LD

- 120l⁴j Cos

@

H

a - j

LD

+480a²Cos

@

D

+1920l²Cos

@

D

-1440a²l²Cos

@

D

- 1920l⁴Cos

@

D

+960a² l⁴Cos

@

D

- 960a j Cos

@

D

+2880a l²j Cos

@

D

-1920a l⁴j Cos

@

D

+480j²Cos

@

D

- 1440l²j²Cos

@

D

+960l⁴j²Cos

@

D

- 30aCos

@

D

60a l²Cos

@

D

- 30a l⁴Cos

@

D

+30j Cos

@

D

- 60l²j Cos

@

D

+30 l⁴j Cos

@

D

-120aCos

@

H

a + j

LD

+240a l²Cos

@

H

a + j

LD

- 120a l⁴Cos

@

H

a + j

LD

+120j Cos

@

H

a + j

LD

-240l²j Cos

@

H

a + j

LD

+120l⁴j Cos

@

H

a + j

LD

- 160a³Sin

@

D

- 1920a l²Sin

@

D

480a³l²Sin

@

D

+1920a l⁴Sin

@

D

- 320a³ l⁴Sin

@

D

+480a²j Sin

@

D

+1920l²j Sin

@

D

-1440a²l²j Sin

@

D

- 1920l⁴j Sin

@

D

+960a² l⁴j Sin

@

D

- 480a j²Sin

@

D

1440a l²j²Sin

@

D

- 960a l⁴j²Sin

@

D

+160j³Sin

@

D

- 480l²j³Sin

@

D

+320l⁴j³Sin

@

D

45 Sin

@

D

- 90l²Sin

@

D

+45l⁴Sin

@

D

- 240 Sin

@

H

a - j

LD

+480l²Sin

@

H

a - j

LD

I

12a + a³

I

1- 2 l²

M

- 3

I

-1+ l²

M

Cos

@

DM

-2j

I

H

2a - j

LI

-12+ a²

I

-2+4l²

M

+ a

I

2- 4l²

M

j +

I

-1+2l²

M

j²

M

- 3

I

-1+ l²

M

Cos

@

DM

-12

I

-1+ l²

MH

a - j

L

Cos

@

D

I

-1+ l²

M

Sin

@

D

I

-1+ l²

MI

-3+2a²- 4a j +2j²

M

Sin

@

DM=

9

0, 0, 0, - 1 7680

II

-1+ l²

MI

16800a +2080a³+128a⁵- 4800a l²- 4000a³ l²- 512a⁵l²+3360a l⁴ -640a³ l⁴+512a⁵ l⁴- 16800j - 6240a²j - 640a⁴j +4800l²j +12000a²l²j + 2560a⁴l²j - 3360l⁴j +1920a² l⁴j - 2560a⁴l⁴j +6240a j²+1280a³j²- 12000a l²j² -5120a³l²j²- 1920a l⁴j²+5120a³ l⁴j²- 2080j³- 1280a²j³+4000l²j³+ 5120a²l²j³+640 l⁴j³- 5120a² l⁴j³+640a j⁴- 2560a l²j⁴+2560a l⁴j⁴- 128j⁵+ 512l²j⁵- 512l⁴j⁵ -5

I

1011+32a⁴

I

1- 2l²

M

2 - 128a³

I

1- 2l²

M

2 j +48j²+32j⁴- 2l²

I

819- 144j²+64j⁴

M

+ l⁴

I

1635- 816j²+128j⁴

M

- 32a j

I

3+4j²- 2 l²

I

-9+8j²

M

+ l⁴

I

-51+16j²

MM

+ 48a²

I

1+4j²+ l²

I

6- 16j²

M

+ l⁴

I

-17+16j²

MMM

Cos

@

D

300

I

1- 3l²+2 l⁴

MH

a - j

L

Cos

@

D

+5 Cos

@

D

- 10l²Cos

@

D

+5 l⁴Cos

@

D

-105 Cos

@

H

a - 2j

LD

+210l²Cos

@

H

a - 2j

LD

- 105l⁴Cos

@

H

a - 2j

LD

+105 Cos

@

4a - 2j

D

-210l²Cos

@

4a - 2j

D

+105l⁴Cos

@

4a - 2j

D

+480aCos

@

H

a - j

LD

- 160a³Cos

@

H

a - j

LD

-2880a l²Cos

@

H

a - j

LD

+480a³ l²Cos

@

H

a - j

LD

+2400a l⁴Cos

@

H

a - j

LD

-320a³ l⁴Cos

@

H

a - j

LD

- 480j Cos

@

H

a - j

LD

+480a²j Cos

@

H

a - j

LD

2880l²j Cos

@

H

a - j

LD

- 1440a² l²j Cos

@

H

a - j

LD

- 2400l⁴j Cos

@

H

a - j

LD

960a² l⁴j Cos

@

H

a - j

LD

- 480a j²Cos

@

H

a - j

LD

+1440a l²j²Cos

@

H

a - j

LD

-960a l⁴j²Cos

@

H

a - j

LD

+160j³Cos

@

H

a - j

LD

- 480l²j³Cos

@

H

a - j

LD

320l⁴j³Cos

@

H

a - j

LD

+5055 Cos

@

D

+1680a²Cos

@

D

+320a⁴Cos

@

D

-8190l²Cos

@

D

+2400a²l²Cos

@

D

- 960a⁴ l²Cos

@

D

+8175l⁴Cos

@

D

-4080a²l⁴Cos

@

D

+640a⁴ l⁴Cos

@

D

- 3360a j Cos

@

D

- 1280a³j Cos

@

D

-4800a l²j Cos

@

D

+3840a³l²j Cos

@

D

+8160a l⁴j Cos

@

D

- 2560a³ l⁴j Cos

@

D

1680j²Cos

@

D

+1920a²j²Cos

@

D

+2400l²j²Cos

@

D

- 5760a²l²j²Cos

@

D

-4080l⁴j²Cos

@

D

+3840a² l⁴j²Cos

@

D

- 1280a j³Cos

@

D

+3840a l²j³Cos

@

D

-2560a l⁴j³Cos

@

D

+320j⁴Cos

@

D

- 960l²j⁴Cos

@

D

+640l⁴j⁴Cos

@

D

600aCos

@

D

- 1200a l²Cos

@

D

+600a l⁴Cos

@

D

- 600j Cos

@

D

+1200l²j Cos

@

D

-600l⁴j Cos

@

D

- 5 Cos

@

D

+10l²Cos

@

D

- 5l⁴Cos

@

D

- 160a³Cos

@

H

a + j

LD

-1440a l²Cos

@

H

a + j

LD

+480a³ l²Cos

@

H

a + j

LD

+1440a l⁴Cos

@

H

a + j

LD

-320a³ l⁴Cos

@

H

a + j

LD

+480a²j Cos

@

H

a + j

LD

+1440l²j Cos

@

H

a + j

LD

-1440a²l²j Cos

@

H

a + j

LD

- 1440l⁴j Cos

@

H

a + j

LD

+960a²l⁴j Cos

@

H

a + j

LD

-480a j²Cos

@

H

a + j

LD

+1440a l²j²Cos

@

H

a + j

LD

- 960a l⁴j²Cos

@

H

a + j

LD

160j³Cos

@

H

a + j

LD

- 480 l²j³Cos

@

H

a + j

LD

+320l⁴j³Cos

@

H

a + j

LD

45 Cos

@

H

2a + j

LD

- 90l²Cos

@

H

2a + j

LD

+45 l⁴Cos

@

H

2a + j

LD

- 45 Cos

@

H

a +2j

LD

90l²Cos

@

H

a +2j

LD

- 45l⁴Cos

@

H

a +2j

LD

- 1680aSin

@

D

+320a³Sin

@

D

7200a l²Sin

@

D

- 1280a³ l²Sin

@

D

- 7920a l⁴Sin

@

D

+1280a³ l⁴Sin

@

D

1680j Sin

@

D

- 960a²j Sin

@

D

- 7200l²j Sin

@

D

+3840a² l²j Sin

@

D

7920l⁴j Sin

@

D

- 3840a² l⁴j Sin

@

D

+960a j²Sin

@

D

- 3840a l²j²Sin

@

D

3840a l⁴j²Sin

@

D

- 320j³Sin

@

D

+1280l²j³Sin

@

D

- 1280l⁴j³Sin

@

D

120j²Sin

@

D

- 360 l²j²Sin

@

D

+240l⁴j²Sin

@

D

- 60aSin

@

H

a - 2j

LD

+120a l²Sin

@

H

a - 2j

LD

-60a l⁴Sin

@

H

a - 2j

LD

+60j Sin

@

H

a - 2j

LD

- 120 l²j Sin

@

H

a - 2j

LD

+60l⁴j Sin

@

H

a - 2j

LD

60aSin

@

4a - 2j

D

- 120a l²Sin

@

4a - 2j

D

+60a l⁴Sin

@

4a - 2j

D

- 60j Sin

@

4a - 2j

D

120l²j Sin

@

4a - 2j

D

- 60l⁴j Sin

@

4a - 2j

D

- 960 Sin

@

H

a - j

LD

+480a²Sin

@

H

a - j

LD

3840l²Sin

@

H

a - j

LD

- 1440a² l²Sin

@

H

a - j

LD

- 2880l⁴Sin

@

H

a - j

LD

+960a² l⁴Sin

@

H

a - j

LD

-960a j Sin

@

H

a - j

LD

+2880a l²j Sin

@

H

a - j

LD

- 1920a l⁴j Sin

@

H

a - j

LD

480j²Sin

@

H

a - j

LD

- 1440l²j²Sin

@

H

a - j

LD

+960l⁴j²Sin

@

H

a - j

LD

- 240aSin

@

D

640a³Sin

@

D

+8160a l²Sin

@

D

- 1920a³l²Sin

@

D

- 7920a l⁴Sin

@

D

1280a³l⁴Sin

@

D

+240j Sin

@

D

- 1920a²j Sin

@

D

- 8160l²j Sin

@

D

+5760a² l²j Sin

@

D

7920l⁴j Sin

@

D

- 3840a²l⁴j Sin

@

D

+1920a j²Sin

@

D

- 5760a l²j²Sin

@

D

3840a l⁴j²Sin

@

D

- 640j³Sin

@

D

+1920l²j³Sin

@

D

- 1280l⁴j³Sin

@

D

345 Sin

@

D

- 240a²Sin

@

D

- 1005l²Sin

@

D

+480a² l²Sin

@

D

+660l⁴Sin

@

D

-240a²l⁴Sin

@

D

+480a j Sin

@

D

- 960a l²j Sin

@

D

+480a l⁴j Sin

@

D

- 240j²Sin

@

D

480l²j²Sin

@

D

- 240l⁴j²Sin

@

D

- 240 Sin

@

H

a + j

LD

+240l²Sin

@

H

a + j

LD

60aSin

@

H

2a + j

LD

- 120a l²Sin

@

H

2a + j

LD

+60a l⁴Sin

@

H

2a + j

LD

- 60j Sin

@

H

2a + j

LD

120l²j Sin

@

H

2a + j

LD

- 60l⁴j Sin

@

H

2a + j

LD

+60aSin

@

H

a +2j

LD

- 120a l²Sin

@

H

a +2j

LD

60a l⁴Sin

@

H

a +2j

LD

- 60j Sin

@

H

a +2j

LD

+120 l²j Sin

@

H

a +2j

LD

- 60l⁴j Sin

@

H

a +2j

LDMM

, 1 384

I

420+168a²+16a⁴- 72l²- 336a²l²- 64a⁴ l²+36 l⁴- 24a² l⁴+64a⁴l⁴- 336a j -64a³j +672a l²j +256a³l²j +48a l⁴j - 256a³ l⁴j +168j²+96a²j²- 336l²j² -384a²l²j²- 24 l⁴j²+384a² l⁴j²- 64a j³+256a l²j³- 256a l⁴j³+16j⁴- 64l²j⁴+ 64l⁴j⁴- 96

I

1- 3l²+2 l⁴

MH

a - j

L

Cos

@

D

- 3

I

-1+ l²

M

2 Cos

@

D

- 36 Cos

@

H

a - j

LD

72l²Cos

@

H

a - j

LD

- 36 l⁴Cos

@

H

a - j

LD

+96aCos

@

D

+32a³Cos

@

D

+96a l²Cos

@

D

-96a³l²Cos

@

D

- 192a l⁴Cos

@

D

+64a³ l⁴Cos

@

D

- 96j Cos

@

D

- 96a²j Cos

@

D

-96l²j Cos

@

D

+288a² l²j Cos

@

D

+192l⁴j Cos

@

D

- 192a² l⁴j Cos

@

D

96a j²Cos

@

D

- 288a l²j²Cos

@

D

+192a l⁴j²Cos

@

D

- 32j³Cos

@

D

+96l²j³Cos

@

D

-64l⁴j³Cos

@

D

+15 Cos

@

D

- 30 l²Cos

@

D

+15 l⁴Cos

@

D

- 12 Cos

@

H

a + j

LD

24l²Cos

@

H

a + j

LD

- 12 l⁴Cos

@

H

a + j

LD

- 48a²Sin

@

D

- 192l²Sin

@

D

+144a² l²Sin

@

D

192l⁴Sin

@

D

- 96a²l⁴Sin

@

D

+96a j Sin

@

D

- 288a l²j Sin

@

D

+192a l⁴j Sin

@

D

-48j²Sin

@

D

+144l²j²Sin

@

D

- 96l⁴j²Sin

@

D

- 24aSin

@

H

a - j

LD

+48a l²Sin

@

H

a - j

LD

-24a l⁴Sin

@

H

a - j

LD

+24j Sin

@

H

a - j

LD

- 48l²j Sin

@

H

a - j

LD

+24 l⁴j Sin

@

H

a - j

LD

48a²Sin

@

D

+192l²Sin

@

D

- 144a²l²Sin

@

D

- 192l⁴Sin

@

D

+96a²l⁴Sin

@

D

-96a j Sin

@

D

+288a l²j Sin

@

D

- 192a l⁴j Sin

@

D

+48j²Sin

@

D

- 144l²j²Sin

@

D

96l⁴j²Sin

@

D

- 12aSin

@

D

+24a l²Sin

@

D

- 12a l⁴Sin

@

D

+12j Sin

@

D

-24l²j Sin

@

D

+12l⁴j Sin

@

D

- 24aSin

@

H

a + j

LD

+48a l²Sin

@

H

a + j

LD

-24a l⁴Sin

@

H

a + j

LD

+24j Sin

@

H

a + j

LD

- 48l²j Sin

@

H

a + j

LD

+24 l⁴j Sin

@

H

a + j

LDM

, 1 7680

I

8400a +1120a³+64a⁵- 1440a l²- 2240a³ l²- 256a⁵ l²+720a l⁴- 160a³ l⁴+ 256a⁵l⁴- 8400j - 3360a²j - 320a⁴j +1440l²j +6720a² l²j +1280a⁴l²j - 720l⁴j + 480a²l⁴j - 1280a⁴ l⁴j +3360a j²+640a³j²- 6720a l²j²- 2560a³ l²j²- 480a l⁴j²+ 2560a³l⁴j²- 1120j³- 640a²j³+2240l²j³+2560a² l²j³+160l⁴j³- 2560a²l⁴j³+ 320a j⁴- 1280a l²j⁴+1280a l⁴j⁴- 64j⁵+256l²j⁵- 256l⁴j⁵+ 240

I

-1+ l²

MI

3+ a²

I

-2+4l²

M

+ a

I

4- 8l²

M

j - 2j²+2l²

I

-7+2j²

MM

Cos

@

D

240

I

-1+ l²

M

H

a - j

L

Cos

@

H

a - j

LD

+720 Cos

@

D

+960a²Cos

@

D

+160a⁴Cos

@

D

-4080l²Cos

@

D

+960a²l²Cos

@

D

- 480a⁴ l²Cos

@

D

+3360l⁴Cos

@

D

- 1920a² l⁴Cos

@

D

1920l⁴j²Cos

@

D

+1920a² l⁴j²Cos

@

D

- 640a j³Cos

@

D

+1920a l²j³Cos

@

D

-1280a l⁴j³Cos

@

D

+160j⁴Cos

@

D

- 480l²j⁴Cos

@

D

+320l⁴j⁴Cos

@

D

+300aCos

@

D

-600a l²Cos

@

D

+300a l⁴Cos

@

D

- 300j Cos

@

D

+600l²j Cos

@

D

- 300l⁴j Cos

@

D

240aCos

@

H

a + j

LD

- 480a l²Cos

@

H

a + j

LD

+240a l⁴Cos

@

H

a + j

LD

- 240j Cos

@

H

a + j

LD

480l²j Cos

@

H

a + j

LD

- 240 l⁴j Cos

@

H

a + j

LD

- 1440aSin

@

D

+4320a l²Sin

@

D

-2880a l⁴Sin

@

D

+1440j Sin

@

D

- 4320l²j Sin

@

D

+2880l⁴j Sin

@

D

- 15 Sin

@

D

30l²Sin

@

D

- 15 l⁴Sin

@

D

- 480 Sin

@

H

a - j

LD

+960 l²Sin

@

H

a - j

LD

- 480l⁴Sin

@

H

a - j

LD

320a³Sin

@

D

+3840a l²Sin

@

D

- 960a³l²Sin

@

D

- 3840a l⁴Sin

@

D

+640a³l⁴Sin

@

D

-960a²j Sin

@

D

- 3840l²j Sin

@

D

+2880a²l²j Sin

@

D

+3840l⁴j Sin

@

D

- 1920a²l⁴j Sin

@

D

960a j²Sin

@

D

- 2880a l²j²Sin

@

D

+1920a l⁴j²Sin

@

D

- 320j³Sin

@

D

+960l²j³Sin

@

D

-640l⁴j³Sin

@

D

+255 Sin

@

D

- 120a²Sin

@

D

- 510l²Sin

@

D

+240a² l²Sin

@

D

255l⁴Sin

@

D

- 120a²l⁴Sin

@

D

+240a j Sin

@

D

- 480a l²j Sin

@

D

+240a l⁴j Sin

@

D

-120j²Sin

@

D

+240l²j²Sin

@

D

- 120l⁴j²Sin

@

D

- 240 Sin

@

H

a + j

LD

+480l²Sin

@

H

a + j

LD

-240l⁴Sin

@

H

a + j

LDM=

9

0, 0, 0, - 1 384

I

-1+ l²

M

I

-36- 360a²- 32a⁴+36 l²- 24a² l²+64a⁴l²+720a j +128a³j +48a l²j - 256a³ l²j - 360j² -192a²j²- 24l²j²+384a²l²j²+128a j³- 256a l²j³- 32j⁴+64l²j⁴ -16

H

a - j

LI

-3+ a²

I

-2+4l²

M

+ a

I

4- 8l²

M

j - 2j²+4l²

I

-3+ j²

MM

Cos

@

D

+15

I

-1+ l²

M

Cos

@

D

36 Cos

@

H

a - j

LD

- 36l²Cos

@

H

a - j

LD

- 192aCos

@

D

+192a l²Cos

@

D

+192j Cos

@

D

-192l²j Cos

@

D

+3 Cos

@

D

- 3 l²Cos

@

D

+12 Cos

@

H

a + j

LD

- 12l²Cos

@

H

a + j

LD

72 Sin

@

D

- 48a²Sin

@

D

- 192l²Sin

@

D

+96a² l²Sin

@

D

+96a j Sin

@

D

-192a l²j Sin

@

D

- 48j²Sin

@

D

+96 l²j²Sin

@

D

- 12aSin

@

D

+12a l²Sin

@

D

12j Sin

@

D

- 12l²j Sin

@

D

+24aSin

@

H

a - j

LD

- 24a l²Sin

@

H

a - j

LD

- 24j Sin

@

H

a - j

LD

24l²j Sin

@

H

a - j

LD

- 72 Sin

@

D

+96a²Sin

@

D

+192 l²Sin

@

D

- 96a² l²Sin

@

D

-192a j Sin

@

D

+192a l²j Sin

@

D

+96j²Sin

@

D

- 96l²j²Sin

@

D

- 24aSin

@

H

a + j

LD

24a l²Sin

@

H

a + j

LD

+24j Sin

@

H

a + j

LD

- 24l²j Sin

@

H

a + j

LDM

, 1 3840

I

-4200a - 560a³- 32a⁵+720a l²+1120a³ l²+128a⁵ l²- 360a l⁴+80a³ l⁴- 128a⁵ l⁴+ 4200j +1680a²j +160a⁴j - 720 l²j - 3360a²l²j - 640a⁴ l²j +360l⁴j - 240a²l⁴j + 640a⁴l⁴j - 1680a j²- 320a³j²+3360a l²j²+1280a³ l²j²+240a l⁴j²- 1280a³ l⁴j²+ 560j³+320a²j³- 1120l²j³- 1280a²l²j³- 80l⁴j³+1280a²l⁴j³- 160a j⁴+640a l²j⁴ -640a l⁴j⁴+32j⁵- 128 l²j⁵+128l⁴j⁵+ 480

I

-1+ l²

MI

a²

I

-1+2l²

M

+ a

I

2- 4l²

M

j - j²+2l²

I

-2+ j²

MM

Cos

@

D

+30

I

-1+ l²

M

H

a - j

L

Cos

@

D

-120aCos

@

H

a - j

LD

+240a l²Cos

@

H

a - j

LD

- 120a l⁴Cos

@

H

a - j

LD

+120j Cos

@

H

a - j

LD

-240l²j Cos

@

H

a - j

LD

+120l⁴j Cos

@

H

a - j

LD

- 480a²Cos

@

D

- 1920l²Cos

@

D

1440a²l²Cos

@

D

+1920l⁴Cos

@

D

- 960a² l⁴Cos

@

D

+960a j Cos

@

D

- 2880a l²j Cos

@

D

1920a l⁴j Cos

@

D

- 480j²Cos

@

D

+1440l²j²Cos

@

D

- 960l⁴j²Cos

@

D

+30aCos

@

D

-60a l²Cos

@

D

+30a l⁴Cos

@

D

- 30j Cos

@

D

+60l²j Cos

@

D

- 30 l⁴j Cos

@

D

120aCos

@

H

a + j

LD

- 240a l²Cos

@

H

a + j

LD

+120a l⁴Cos

@

H

a + j

LD

- 120j Cos

@

H

a + j

LD

240l²j Cos

@

H

a + j

LD

- 120l⁴j Cos

@

H

a + j

LD

+160a³Sin

@

D

+1920a l²Sin

@

D

-480a³l²Sin

@

D

- 1920a l⁴Sin

@

D

+320a³ l⁴Sin

@

D

- 480a²j Sin

@

D

- 1920l²j Sin

@

D

45l⁴Sin

@

D

+240 Sin

@

H

a - j

LD

- 480l²Sin

@

H

a - j

LD

+240l⁴Sin

@

H

a - j

LD

+160a³Sin

@

D

1920a l²Sin

@

D

- 480a³l²Sin

@

D

- 1920a l⁴Sin

@

D

+320a³ l⁴Sin

@

D

- 480a²j Sin

@

D

-1920l²j Sin

@

D

+1440a²l²j Sin

@

D

+1920l⁴j Sin

@

D

- 960a² l⁴j Sin

@

D

480a j²Sin

@

D

- 1440a l²j²Sin

@

D

+960a l⁴j²Sin

@

D

- 160j³Sin

@

D

+480l²j³Sin

@

D

-320l⁴j³Sin

@

D

+45 Sin

@

D

- 90l²Sin

@

D

+45l⁴Sin

@

DM

, 1

I

48- 2a

I

12a + a³

I

1- 2 l²

M

- 3

I

-1+ l²

M

Cos

@

DM

I

H

2a - j

LI

-12+ a²

I

-2+4l²

M

+ a

I

2- 4l²

M

j +

I

-1+2l²

M

j²

M

- 3

I

-1+ l²

M

Cos

@

DM

ÖZGEÇMİŞ

1977 yılında Manisa’da doğan Özgür ÖZÇIKRIKÇI ilk, orta ve lise eğitimini Söke’de tamamlamıştır. Söke Lisesi’nden 1995 yılında mezun olduktan sonra aynı yıl İstanbul Teknik Üniversitesi İnşaat Fakültesi’ne girmiştir. Lisans eğitimini 1999 yılında tamamlamıştır. Bir yıl sonra İTÜ’de yüksek lisans öğrenimine başlamış ve 2002 yılında derslerini tamamlamıştır. Halen özel bir şirkette proje mühendisi olarak çalışmaktadır.

Belgede Burkulma Esnasındaki Dış Yük Davranışının Hesaba Katıldığı Değişken Kesitli Dairesel Çubukların Taşıma Matrisi Yardımıyla Düzlem İçi Burkulma Yükü Hesabı (sayfa 68-77)