Project

Poojan Patel :- Simulation of Compound Pendulum.

Challenge :-

Simulate a compound pendulum in the XY plane, dropped from an initial height and functioning under the influence of gravity.

Data :-

Body type = Cylinders

Diameter = 2 m

Point_0 = 0, 0, 0

Point_1 = -10, -10, 0

Point_2 = -24.142, -10, 0

Gravity in Y-axis = -9.81 m/s2

Time = 100 sec

Units = Meter and Kilogram

Answer :-

Steps :-

Change the units from Model – Data Sets – Solver Units. In that change Length to Meters.

Create 3 points by right click on Point button on toolbar i.e. Point_0 (0, 0, 0), Point_1 (-10, -10, 0) and Point_2 (-24.142, -10, 0).

Create two cylinder graphics by right click on the Graphic button on the toolbar. For the first cylinder give the body as Body_0, origin as Point_0 and direction as Point_1. For cylinder two give the body as Body_1, origin as Point_1 and direction as Point_2. The radius of both cylinders is 1 m.

Then create two joints by right click on Joint button on the toolbar. For Joint_0 in the connectivity select Revolute Joint and associate Body 1 as Body_0, Body 2 as Ground body, Origin point as Point_0 and in direction select vector as associate it with Global Z vector. Similarly, for Joint_1 in connectivity select Revolute Joint and associate Body 1 as Body_0, Body 2 as Body_1, Origin point as Point_1 and in direction select vector as associate it with Global Z vector.

Lastly, create two outputs by right click on the Output button. For the Output_0 in the properties select Displacement and Two points. Body 1 as Body_1 and Body 2 as Ground body. Pt on Body 1 as Point_2 and Pt on Body 2 as Global Origin. Then for Output_1 in the properties select Force and Entity. Select the Body as Body_0 and Ref Maker as Global frame.

Then click on Run Solver in the toolbar. Save the model, simulation type Transient and end time as 100 sec. Then in the Menu bar – Tools – Check model, see the general properties, DOF of the model. Then Run the model for simulation.

Fig(1.1)

Plotting :-

Plot the trace of point Point_2 (trace is the Y vs X displacement plot of Point_2 w.r.t the ground).

Fig(2.1)

X type – Marker Displacement, X Request – Body_1, X Component – DX

Y type – Marker Displacement, Y Request – Body_1, Y Component – DY

Fig(2.2)

X type – Time

Y type – Marker Force, Y Request – Joint_0, Y Component – FX

X type – Time

Y type – Marker Force, Y Request – Joint_0, Y Component – FY

Fig(2.3)

Ship work like this
in your own course.