- #1
alexanderBuzz
- 2
- 0
Hi everyone,
I have the following problem in my hands, which I don't know how exactly to address.
Let's assume that from any CAD(Solidworks, Catia), I obtain the inertia tensor of my model (impossible to calculate by hand btw).
I_full=[Ixx Ixy Ixz
Ixy Iyy Iyz
Ixz Iyz Izz]
I know if I change the mass of my model, the inertia tensor will scale linearly with it.
But what If I scale my model to half-size, all dimensions? The mass probably goes by 1/8, since it's proportional to volume. Maybe the other factor would be 1/4 (α r^2).
So would the correct Inertia scaling factor be?:
I_half=1/4*1/8*I_full
Cheers!
I have the following problem in my hands, which I don't know how exactly to address.
Let's assume that from any CAD(Solidworks, Catia), I obtain the inertia tensor of my model (impossible to calculate by hand btw).
I_full=[Ixx Ixy Ixz
Ixy Iyy Iyz
Ixz Iyz Izz]
I know if I change the mass of my model, the inertia tensor will scale linearly with it.
But what If I scale my model to half-size, all dimensions? The mass probably goes by 1/8, since it's proportional to volume. Maybe the other factor would be 1/4 (α r^2).
So would the correct Inertia scaling factor be?:
I_half=1/4*1/8*I_full
Cheers!