Rigid body dynamics in optimization of the machine tool vibroisolation

Dynamic Solver for the Rigid Body and the Flexible Body with Control and Optimization Tool

Many kinds of mechanical systems such as a robot, a machine tool, a vehicle and so on have multi bodies which have the relative motion each other. When we develop the mechanical systems, it is important to predict the motion and the interaction forces before they are actually manufactured after the design. Also, multi flexible body dynamics can be necessary for some mechanical systems including...

Title : Rigid body dynamics

3D Rigid Body Dynamics

The difficulty of describing the positions of the body-fixed axis of a rotating body is approached through the use of Euler angles: spin ψ̇, nutation θ and precession φ shown below in Figure 1. In this case we surmount the difficulty of keeping track of the principal axes fixed to the body by making their orientation the unknowns in our equations of motion; then the angular velocities and angula...

Frictional Rigid Body Dynamics

Practical problems like regulating robot grippers critically rely on accurately predicted friction forces. Qualified methods are derived and discussed subsequently. Special attention is paid to the question of solution existence. A time-stepping scheme which supports Coulomb friction and inelastic impacts is implemented and the numerical results are analyzed. The approach proofs to be stable, a...

Fatigue Behavior Optimization of the 16MnCr5 Steel Used in Machine Tool Spindle via Different Surface Treatments

Since the sub-axis of machine tool spindles subjected to fatigue loading, the effects of different surface heat treatments on fatigue behavior of 16MnCr5 steel have been investigated in the current work. After the test specimens were prepared from the steel, the surface heat treatments; carburizing, carbonitriding and a practical type of treatment involving the first nitriding then carburizing ...