Explicit Newmark/Verlet algorithm for time integration of the rotational dynamics of rigid bodies
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چکیده
منابع مشابه
Explicit Newmark/Verlet algorithm for Time Integration of the Rotational Dynamics of Rigid Bodies
We consider the problem of integration of the initial value problem of the rotational rigid body dynamics. We are motivated by a very practical problem: time integration of the equations of motion of drill bits as they cut through rock. The drill bit geometry is fully three-dimensional, as is the surface of the rock to be cut, and the force laws of cutting, scraping, impacts, and persistent con...
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A new approach to the numerical integration of rotational motion for interacting rigid bodies
A new approach is developed to integrate numerically the equations of motion for systems of interacting rigid polyatomic molecules. With the aid of a leapfrog framework, we directly involve principal angular velocities into the integration, whereas orientational positions are expressed in terms of either principal axes or quaternions. As a result, the rigidness of molecules appears to be an int...
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 2005
ISSN: 0029-5981,1097-0207
DOI: 10.1002/nme.1272