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Matlab and Simulink
Các khối của Simulink
Sum: y = x1 + x2++
integrator: dq / dt = x, y = q1/s
* Multiplier: y = x1 * x2
c Gain: y = c * x
cConstant: y = c
f(x) Function: y = f(x)
Sinusgenerator: y = sin (t)
Subsystem: Placeholder for a subnetwork model
1Inport: Input from an external model
1Outport: Output to an external model
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Sơ đồ giao động
1/s
k
1/s-+
-+
1
* *
v x 1
Hệ bậc 1 – exponential growth/decay
q
c
( ) ( )dq f q f q cqdt
= =
0c >
0c <
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Hệ bậc 1– constant input to exponential decay
∫x + q
-c
( , ) ( )
At equilibrium,
0 = /eq
dq f q x f q x cqdt
dq x cq q x cdt
= = −
= − → =
( ) ( )difference t x cq t= −
/eqq x c=
Hệ bậc 2 - Giao động có giảm chấn
F(t)
x
d
k
m ∫F(t) + v
-d
∫ x
-k
(a) (b)
m = 1
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Ghế của xe tảiSuspended seat of a truck
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Tần số riêng (natuaral frequency) bằng độ lớn của mỗi cực - số phứcliên hợp (complex conjugate pole)
Tần số cộng hưởng (resomant freq.) bằng độ lớn của phần ảo củamỗi cực
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Hệ số giảm chấn có thể tính theo tỉ số phần thực của cực và tần sốriêng
Độ lợi/khuyếch đại/ bằng giá trị hàm truyền khi s bằng 0
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Độ lợi có thể được tính khi quan sátbiểu đồ Bode khi tần số gần 0
Simulink
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Đáp ứng sóng vuông: Khối vi phân không xử lý tín hiệu không liên tục nhưsóng vuông. Sử dụng hàm truyền gần đúng với khối vi phân.
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Đáp ứng tín hiệu tuần hoàndạng Sin
Đáp ứng bước (step)Dùng hàm truyền gầnđúng với khối vi phân
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Thu nhận lại mô hình MATLAB từ mô hình Simulink
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Loa (Loudspeaker)
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Mô hình được thử quan sátvới nhiều tần số khác nhau.
300rad/s – 47,7 Hz
Chỉ quan sát một vùng t=1s (phải đổi default setting of running từ 10 s sang 1 s)
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