25.Rotary Actuator Calculation

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ROTARY ACTUATOR CALCULATION - VERTICAL M S.NO DESCRIPTION SYMBOL FORMULA UNIT 1 Load type - - 2 Rotation angle θ - deg 3 Rotation time t - sec 4 Mass of load m - kg 5 H - mm 6 Clamping force F - N 7 l - mm 8 Static Load Ts Fxl/1000 N-m 9 Min. Effective torque requirement Teff - N-m 10 Coefficient of friction μ - - 11 Resistance load Tf N-m 12 Min. Effective torque requirement Teff 5xTf N-m 13 Ia - kg-mm^2 14 Calculated angular velocity (max.) ω rad/sec 15 Calculated angular acceleration (max.) α rad/sec^2 16 Inertial load Ta N-m 17 Min. Effective torque requirement Teff 10xTa N-m 18 Rotation time for 90˚ - - sec 19 Thrust load Ft mx9.8 N 20 Load moment M FtxH N-m 21 Kinetic energy K J PREPARED BY: PREPARATION DATE: DATE LAST MODIFIED: 18/10/2010 VALIDATED BY: VALIDATION DATE: MACHINE BUILDING AND AUTOMATION DESIGN CALCULATION Ts/ Tf/ Ta Displacement between centre of gravity and rotational axis Displacement of clamping force from actuator axis (μxmx9.8)x (H/1000) Net moment of inertia of load about actuator axis (0.035xθ)/ t (0.035xθ)/ t^2 (Ia/ 10^6)xα (1/2)xIaxω ^2

Transcript of 25.Rotary Actuator Calculation

Page 1: 25.Rotary Actuator Calculation

ROTARY ACTUATOR CALCULATION - VERTICAL MOUNTING

S.NO DESCRIPTION SYMBOL FORMULA UNIT VALUE

1 Load type Ts/ Tf/ Ta - -

2 Rotation angle θ - deg 15

3 Rotation time t - sec 0.5

4 Mass of load m - kg 7

5 H - mm 58

6 Clamping force F - N 45

7 Displacement of clamping force from actuator axis l - mm 15

8 Static Load Ts Fxl/1000 N-m 0.675

9 Min. Effective torque requirement Teff - N-m 0.675

10 Coefficient of friction μ - - 0.2

11 Resistance load Tf N-m 0.79576

12 Min. Effective torque requirement Teff 5xTf N-m 3.9788

13 Net moment of inertia of load about actuator axis Ia - kg-mm^2 23500

14 Calculated angular velocity (max.) ω rad/sec 1.05

15 Calculated angular acceleration (max.) α rad/sec^2 2.1

16 Inertial load Ta N-m 0.04935

17 Min. Effective torque requirement Teff 10xTa N-m 0.4935

18 Rotation time for 90˚ - - sec 3

19 Thrust load Ft mx9.8 N 68.6

20 Load moment M FtxH N-m 3.9788

21 Kinetic energy K (1/2)xIaxω^2 J 0.012954375

PREPARED BY: PREPARATION DATE:

DATE LAST MODIFIED: 18/10/2010

VALIDATED BY: VALIDATION DATE:

MACHINE BUILDING AND AUTOMATION DESIGN CALCULATION

Displacement between centre of gravity and rotational axis

(μxmx9.8)x(H/1000)

(0.035xθ)/t

(0.035xθ)/t^2

(Ia/10^6)xα

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ROTARY ACTUATOR CALCULATION - HORIZONTAL MOUNTING

S.NO DESCRIPTION SYMBOL FORMULA UNIT VALUE

1 Load type Ts/ Tf/ Ta - -

2 Rotation angle θ - deg 15

3 Rotation time t - sec 0.2

4 Mass of load m - kg 5

5 L - mm 7

6 Clamping force F - N 75

7 Displacement of clamping force from actuator axis l - mm 10

8 Static Load Ts Fxl/1000 N-m 0.75

9 Min. Effective torque requirement Teff - N-m 0.75

11 Resistance load Tf mx9.8xL N-m 343

12 Min. Effective torque requirement Teff 5xTf N-m 1715

13 Net moment of inertia of load about actuator axis Ia - kg-mm^2 257

14 Calculated angular velocity (max.) ω rad/sec 2.625

15 Calculated angular acceleration (max.) α rad/sec^2 13.125

16 Inertial load Ta N-m 0.003373125

17 Min. Effective torque requirement Teff 10xTa N-m 0.03373125

18 Rotation time for 90˚ - - sec 1.2

19 Radial load Fr mx9.8 N 49

20 Load moment M FrxL N-m 0.343

21 Kinetic energy K (1/2)xIaxω^2 J 0.000885445

PREPARED BY: PREPARATION DATE:

DATE LAST MODIFIED: 18/10/2010

VALIDATED BY: VALIDATION DATE:

MACHINE BUILDING AND AUTOMATION DESIGN CALCULATION

Displacement between centre of gravity and rotational axis

(0.035xθ)/t

(0.035xθ)/t^2

(Ia/10^6)xα

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INPUT VALUE

OUTPUT VALUE

DERIVED VALUE

Note: 1. The effective torque requirement is to be used in conjunction with supplier tables and operating pressure to select the rotary actuator. 2. Only mass moment of inertia is to be considered. 3. The tables given here are from SMC product catalogue. 4. In case of

multiple loads, the highest of the effective torques is to be considered for selection.

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ROTARY ACTUATOR CALCULATION - VERTICAL MOUNTING

REMARKS

Ts-Static Load

Tf-Resistance Load

Ta-Inertial Load

From 3D model requirement

For static load calc. only

For resistance load calc. only

From MI calc. sheet

For inertial load calc. only

*Verification Value*

*Verification Value*

*Verification Value*

*Verification Value*

PREPARATION DATE:

VALIDATION DATE:

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ROTARY ACTUATOR CALCULATION - HORIZONTAL MOUNTING

REMARKS

Ts-Static Load

Tf-Resistance Load

Ta-Inertial Load

From 3D model requirement

For static load calc. only

From MI calc. sheet

For inertial load calc. only

*Verification Value*

*Verification Value*

*Verification Value*

*Verification Value*

PREPARATION DATE:

VALIDATION DATE:

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Note: 1. The effective torque requirement is to be used in conjunction with supplier tables and operating pressure to select the rotary actuator. 2. Only mass moment of inertia is to be considered. 3. The tables given here are from SMC product catalogue. 4. In case of

multiple loads, the highest of the effective torques is to be considered for selection.

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ROTARY ACTUATOR CALCULATION - VERTICAL MOUNTING

S.NO DESCRIPTION SYMBOL FORMULA UNIT VALUE REMARKS

1 Load type Ts/ Tf/ Ta - -

Ts-Static Load

Tf-Resistance Load

Ta-Inertial Load

2 Rotation angle θ - deg 15

3 Rotation time t - sec 0.5

4 Mass of load m - kg 7

5 H - mm 58 From 3D model requirement

6 Clamping force F - N 45

For static load calc. only7 Displacement of clamping force from actuator axis l - mm 15

8 Static Load Ts Fxl/1000 N-m 0.675

9 Min. Effective torque requirement Teff - N-m 0.675

10 Coefficient of friction μ - - 0.2

For resistance load calc. only11 Resistance load Tf N-m 0.79576

12 Min. Effective torque requirement Teff 5xTf N-m 3.9788

13 Net moment of inertia of load about actuator axis Ia - kg-mm^2 23500 From MI calc. sheet

14 Calculated angular velocity (max.) ω rad/sec 1.05

15 Calculated angular acceleration (max.) α rad/sec^2 2.1

16 Inertial load Ta N-m 0.04935For inertial load calc. only

17 Min. Effective torque requirement Teff 10xTa N-m 0.4935

18 Rotation time for 90˚ - - sec 3 *Verification Value*

19 Thrust load Ft mx9.8 N 68.6 *Verification Value*

20 Load moment M FtxH N-m 3.9788 *Verification Value*

21 Kinetic energy K (1/2)xIaxω^2 J 0.012954375 *Verification Value*

PREPARED BY: PREPARATION DATE:

DATE LAST MODIFIED: 18/10/2010

VALIDATED BY: VALIDATION DATE:

ROTARY ACTUATOR CALCULATION - HORIZONTAL MOUNTING

S.NO DESCRIPTION SYMBOL FORMULA UNIT VALUE REMARKS

1 Load type Ts/ Tf/ Ta - -

Ts-Static Load

Tf-Resistance Load

Ta-Inertial Load

2 Rotation angle θ - deg 15

3 Rotation time t - sec 0.2

4 Mass of load m - kg 5

5 L - mm 7 From 3D model requirement

6 Clamping force F - N 75

For static load calc. only7 Displacement of clamping force from actuator axis l - mm 10

8 Static Load Ts Fxl/1000 N-m 0.75

9 Min. Effective torque requirement Teff - N-m 0.75

11 Resistance load Tf mx9.8xL N-m 343

12 Min. Effective torque requirement Teff 5xTf N-m 1715

13 Net moment of inertia of load about actuator axis Ia - kg-mm^2 257 From MI calc. sheet

14 Calculated angular velocity (max.) ω rad/sec 2.625

15 Calculated angular acceleration (max.) α rad/sec^2 13.125

16 Inertial load Ta N-m 0.003373125For inertial load calc. only

17 Min. Effective torque requirement Teff 10xTa N-m 0.03373125

18 Rotation time for 90˚ - - sec 1.2 *Verification Value*

19 Radial load Fr mx9.8 N 49 *Verification Value*

20 Load moment M FrxL N-m 0.343 *Verification Value*

21 Kinetic energy K (1/2)xIaxω^2 J 0.000885445 *Verification Value*

PREPARED BY: PREPARATION DATE:

DATE LAST MODIFIED: 18/10/2010

VALIDATED BY: VALIDATION DATE:

INPUT VALUE

OUTPUT VALUE

DERIVED VALUE

MACHINE BUILDING AND AUTOMATION DESIGN CALCULATION

Displacement between centre of gravity and rotational axis

(μxmx9.8)x(H/1000)

(0.035xθ)/t

(0.035xθ)/t^2

(Ia/10^6)xα

MACHINE BUILDING AND AUTOMATION DESIGN CALCULATION

Displacement between centre of gravity and rotational axis

(0.035xθ)/t

(0.035xθ)/t^2

(Ia/10^6)xα

Note: 1. The effective torque requirement is to be used in conjunction with supplier tables and operating pressure to select the rotary actuator. 2. Only mass moment of inertia is to be considered. 3. The tables given here are from SMC product catalogue. 4. In case of

multiple loads, the highest of the effective torques is to be considered for selection.