Download presentation

Presentation is loading. Please wait.

Published byCristopher Newnham Modified over 2 years ago

1
1 ME 302 DYNAMICS OF MACHINERY Dynamic Force Analysis III Dr. Sadettin KAPUCU © 2007 Sadettin Kapucu

2
Gaziantep University 2 Measuring Mass Moment of Inertia If the boundaries (surfaces) of the volume is well defined mathemetically, we calculate Mass Moment of Inertia by integration. if this is not possible and a specimen exist, we move it and measure the motion. Motion is related to the mass moment of inertia. O G G

3
Gaziantep University 3 Measuring Mass Moment of Inertia by Compound Pendulum Differential equation of motion of the compound pendulum. This is a second order nonlinear differential equation. To ease the solution this equation must be linearized which can be linearized by using Taylor series expansion then O G mg mgsin mgcos rGrG

4
Gaziantep University 4 Measuring Mass Moment of Inertia by Compound Pendulum Where A&B are arbitrary coefficient related with the initial values of the motion t is time n is natural circular frequency O G mg mgsin mgcos rGrG nn

5
Gaziantep University 5 Measuring Mass Moment of Inertia by Compound Pendulum When O G mg mgsin mgcos rGrG

6
Gaziantep University 6 Measuring Mass Moment of Inertia by Compound Pendulum 1 cycle Elapsed time for one cycle is called period

7
Gaziantep University 7 Measuring Mass Moment of Inertia by Compound Pendulum Procedure Measure time; say 20 cycles by a stopwach. Calculate one period by dividing this time into 20, which minimize the personal mistakes. With only unknown I 0

8
Gaziantep University 8 Measuring Mass Moment of Inertia by Torsional Pendulum Differential equation of motion of the Torsional pendulum. k With only unknown I 0

9
Gaziantep University 9 Measuring Mass Moment of Inertia by Filar Pendulum mg mg/2 0.5mgcos 0.5mgsin G G b l

10
Gaziantep University 10 Measuring Mass Moment of Inertia by Filar Pendulum mg mg/2 G G b l

11
Gaziantep University 11 Measuring Mass Moment of Inertia by Filar Pendulum mg mg/2 G G b l

Similar presentations

OK

Reading: Main 3.1, 3.2, 3.3 Taylor 5.4 Giancoli 14.7, 14.8 THE DAMPED HARMONIC OSCILLATOR.

Reading: Main 3.1, 3.2, 3.3 Taylor 5.4 Giancoli 14.7, 14.8 THE DAMPED HARMONIC OSCILLATOR.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google