Equimomental Tetrads of a Rigid Body

Mass Properties Identification of a Rigid Body Using Modal Analysis

In performing vibration analysis of the car engine on the engine support, it is necessary to know the mass properties of the engine including mass, position of the center of mass and mass inertia moments. Because the car engine has a relatively complex geometric shape and is composed of different components with different densities, determining its mass properties faces many challenges. There a...

Forced Motions of a Rigid-Body Breakwater

Now the last and most realistic problem will be investigated. This problem treats the breakwater as a rigid body that undergoes periodic wave forcing. This problem is the most realistic because a breakwater truly has physical dimensions in reality and would behave as a rigid body. Furthermore, if a breakwater is in the sea, then it will feel the effects of waves acting on it and not just the ef...

Stabilization of a fluid-rigid body system

We consider the mathematical model of a rigid ball moving in a viscous incompressible fluid occupying a bounded domain Ω, with an external force acting on the ball. We investigate in particular the case when the external force is what would be produced by a spring and a damper connecting the center of the ball h to a fixed point h1 ∈ Ω. If the initial fluid velocity is sufficiently small, and t...

The Acceleration Vector of a Rigid Body

This paper explains the relationship between two existing representations of rigid-body acceleration in a 6-D vector: conventional acceleration, which is the concatenation of two 3-D acceleration vectors, and spatial acceleration, which is the time derivative of a 6-D velocity vector. The two are materially different and obey different composition rules. In particular, spatial accelerations beh...

Title : Rigid body dynamics