A Library Based Approach for Rigid Body Dynamics Simulation

2007 ◽  
Author(s):  
Roy Koomullil ◽  
Nathan Prewitt
Keyword(s):  
Rigid Body ◽  
Rigid Body Dynamics ◽  
Dynamics Simulation ◽  
Body Dynamics

scholarly journals Rotation of Lipids in Membranes: Molecular Dynamics Simulation, 31P Spin-Lattice Relaxation, and Rigid-Body Dynamics

2008 ◽  
Vol 94 (8) ◽  
pp. 3074-3083 ◽  
Author(s):  
Jeffery B. Klauda ◽  
Mary F. Roberts ◽  
Alfred G. Redfield ◽  
Bernard R. Brooks ◽  
Richard W. Pastor
Keyword(s):  
Molecular Dynamics ◽  
Molecular Dynamics Simulation ◽  
Rigid Body ◽  
Lattice Relaxation ◽  
Rigid Body Dynamics ◽  
Dynamics Simulation ◽  
Spin Lattice Relaxation ◽  
Spin Lattice ◽  
Body Dynamics

2116 Large-scale rigid-body dynamics simulation of cluster of water molecules under external electric field

2012 ◽  
Vol 2012.25 (0) ◽  
pp. 204-205
Author(s):  
Yohei NIWA ◽  
Yasuhiro KAJIMA ◽  
Shuji OGATA ◽  
Miyabi HIYAMA ◽  
Ryo KOBAYASHI ◽  
...  
Keyword(s):  
Electric Field ◽  
Rigid Body ◽  
External Electric Field ◽  
Large Scale ◽  
Rigid Body Dynamics ◽  
Dynamics Simulation ◽  
Water Molecules ◽  
Body Dynamics

scholarly journals Geometric Pseudospectral Method on SE(3) for Rigid-Body Dynamics with Application to Aircraft

2013 ◽  
Vol 2013 ◽  
pp. 1-16 ◽  
Author(s):  
Jie Li ◽  
Honglei An ◽  
Huayong Zhu ◽  
Lincheng Shen ◽  
Bin Fang
Keyword(s):  
Rigid Body ◽  
Lie Algebra ◽  
Lie Group ◽  
Pseudospectral Method ◽  
Velocity Model ◽  
Rigid Body Dynamics ◽  
Dynamics Simulation ◽  
Configuration Model ◽  
Body Dynamics ◽  
And Control

General pseudospectral method is extended to the special Euclidean group SE(3) by virtue of equivariant map for rigid-body dynamics of the aircraft. On SE(3), a complete left invariant rigid-body dynamics model of the aircraft in body-fixed frame is established, including configuration model and velocity model. For the left invariance of the configuration model, equivalent Lie algebra equation corresponding to the configuration equation is derived based on the left-trivialized tangent of local coordinate map, and the top eight orders truncated Magnus series expansion with its coefficients of the solution of the equivalent Lie algebra equation are given. A numerical method called geometric pseudospectral method is developed, which, respectively, computes configurations and velocities at the collocation points and the endpoint based on two different collocation strategies. Through numerical tests on a free-floating rigid-body dynamics compared with several same order classical methods in Euclidean space and Lie group, it is found that the proposed method has higher accuracy, satisfying computational efficiency, stable Lie group structural conservativeness. Finally, how to apply the previous discretization scheme to rigid-body dynamics simulation and control of the aircraft is illustrated.

scholarly journals Slipping–rolling transitions of a body with two contact points

2021 ◽  
Author(s):  
Mate Antali ◽  
Gabor Stepan
Keyword(s):  
Rigid Body ◽  
Contact Point ◽  
Static Friction ◽  
Rigid Body Dynamics ◽  
Contact Forces ◽  
Friction Forces ◽  
Contact Points ◽  
Body Dynamics ◽  
Coulomb Model ◽  
Rigid Surfaces

AbstractIn this paper, the general kinematics and dynamics of a rigid body is analysed, which is in contact with two rigid surfaces in the presence of dry friction. Due to the rolling or slipping state at each contact point, four kinematic scenarios occur. In the two-point rolling case, the contact forces are undetermined; consequently, the condition of the static friction forces cannot be checked from the Coulomb model to decide whether two-point rolling is possible. However, this issue can be resolved within the scope of rigid body dynamics by analysing the nonsmooth vector field of the system at the possible transitions between slipping and rolling. Based on the concept of limit directions of codimension-2 discontinuities, a method is presented to determine the conditions when the two-point rolling is realizable without slipping.

New solutions of classical problems in rigid body dynamics

2015 ◽  
Vol 69 ◽  
pp. 40-44
Author(s):  
H.M. Yehia ◽  
E. Saleh ◽  
S.F. Megahid
Keyword(s):  
Rigid Body ◽  
Rigid Body Dynamics ◽  
Body Dynamics

scholarly journals In Silico Single-Molecule Manipulation of DNA with Rigid Body Dynamics

2014 ◽  
Vol 10 (2) ◽  
pp. e1003456 ◽  
Author(s):  
Pascal Carrivain ◽  
Maria Barbi ◽  
Jean-Marc Victor
Keyword(s):  
Rigid Body ◽  
Single Molecule ◽  
In Silico ◽  
Rigid Body Dynamics ◽  
Body Dynamics ◽  
Single Molecule Manipulation

On so‐called singular constraints in rigid‐body dynamics

1986 ◽  
Vol 54 (7) ◽  
pp. 585-586
Author(s):  
Stephen F. Felszeghy
Keyword(s):  
Rigid Body ◽  
Rigid Body Dynamics ◽  
Body Dynamics
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