02q

May 2002

 

 

Description

 

02q is a 2 DOF model fabricated for mounting on the flight mill.

 

 

Fabrication Parameters

 

 

 

 

 

 

 

Fourbar Dimensions

 

 

 

   Link lengths (mm)

6,6,6,1

 

 

   Flexure lengths (mm)

50,50,112.5,112.5

 

 

   Flexure widths (mm)

3,2,2,2.5

 

 

Slider crank attachment point (mm)

2

 

 

Wing Differential Dimensions

 

 

 

   Leading,lagging spar lengths (mm)

2,3

 

 

   Leading/lagging spar inertia (mg mm2)

2,3

 

 

   Distance between spars (mm)

1

 

 

   Differential Transmission Ratio

2

 

 

   Inertia of differential "rotor" (mg mm2)

4.4,0.37,1.02

 

 

   Flexure lengths (mm)

 

 

 

   Flexure widths (mm)

 

 

 

Actuator Dimensions (mm)

(12+8)x6

 

 

 

 

 

 

 

 

 

 

Performance Parameters

 

 

 

 

 

 

 

Actuator Measurements (@150V)

 

 

 

 

Lead

Lag

Theory

Serial #

05-30-02-01M

05-30-02-02M

 

Displacement (mm), xDC

563

563

480

Blocked Force (mN), Fb

66

66

77

Stiffness (N/m), ka

130

134

160

Energy Product (mJ), Fb*xDC

37.16

37.16

36.96

Resonant Frequency (Hz), fr=wr/2p

 

 

 

Quality Factor, Q

 

 

 

Effective Inertia (mg), ma=ka/wr2

 

 

 

Actuator Damping (N s/m), Ba=ka/(Q*wr)

 

 

 

 

 

 

 

Thorax DC Measurements

 

 

 

 

Lead

Lag

Theory

Actuator Displacement (@150V) (mm), x'DC

296

260

 

Output Spar Angle (@150V) (degrees), q'DC

59

60

 

Transmission ratio (rad/mm), T=(q'DC*p)/(x'DC*180o)

3.48

4.03

 

4-Bar Parallel Stiffness (@150V)

 

 

 

   Actuator Coords (N/m), kp=ka*(xDC/x'DC-1)

117.26

156.16

 

   Output spar coords (mN mm/rad), kp=kp/T2

9.69

9.63

 

4-Bar Series Stiffness (@0V)

 

 

 

   Output Spar Angle (degrees), q''DC

45

45

 

   Induced Actuator Displacement (mm), x''DC

80

65

 

   Actuator Coords (N/m), ks=(ka+kp)/(q''DC/T*x''DC-1)

134.48

145.32

 

   Output spar coords (mN mm/rad), ks=ks/T2

11.11

8.96

 

Differential Measurements

 

 

 

   Applied Voltage (V)

90

0

 

   Induced Actuator Displacement (mm), x'''DC

144.6

50.61

 

   Wing Rotation Angle (degrees), f'''DC

45

 

   Rotational Gain (degrees/V) f'''DC/DV

0.5

 

   Actuator Displacement Deviation (mm), Dx'''DC

33.00

50.61

 

   Induced Series Spring Force (mN), Fs

8.16

14.69

 

   Induced Series Spring Displacement (mm), xs'''DC

93.68

151.67

 

   Differential Rotational Stiffness (mN mm/rad), kd

4.85

 

 

 

 

 

Thorax Dynamic Measurements

 

 

 

 

Lead

Lag

Theory

Driving Voltage Characteristics

 

 

 

   DC Offset (V)

30

30

 

   Peak-to-Peak Amplitude (V)

36

36

 

   Waveform Shape

Sinusoid

Sinusoid

 

Resonant Frequency (Hz), fthx=wthx/2p

133

133

 

Output Spar Angle Amplitude (degrees), qAC

45

57

 

Spar Quality Factor, Q

3.18

3.96

 

 

Force Map

 

First, lift forces were measured for frequencies varying from 100 Hz to 180 Hz.  Forces range

from 2.3 mg to 12.4 mg (at the new observed resonant frequency of 139 Hz).

 

 

With the wing operating frequency set at 139 Hz, lift forces were measured for actuator driving

Voltage amplitudes varying from 6 V to 90 V (in steps of 6 V) and phase differences between

–60o to 60o (in steps of 10o).  For the 90 V input, the force was as low as 13.9 mg and as high

as 18.3 mg (32% higher).  Note that the force varied roughly linearly with voltage for a given

phase.