scholarly journals On potential energies and constraints in the dynamics of rigid bodies and particles

2002 ◽  
Vol 8 (3) ◽  
pp. 169-180 ◽  
Author(s):  
Oliver M. O'reilly ◽  
Arun R. Srinivasa
Keyword(s):  
Potential Energy ◽  
Continuum Mechanics ◽  
Rigid Bodies ◽  
Constraint Forces ◽  
Energy Functions ◽  
Potential Energy Functions ◽  
Present Context ◽  
Lagrangian Formulations ◽  
Third Law ◽  
New Treatment

A new treatment of kinematical constraints and potential energies arising in the dynamics of systems of rigid bodies and particles is presented which is suited to Newtonian and Lagrangian formulations. Its novel feature is the imposing of invariance requirements on the constraint functions and potential energy functions. These requirements are extensively used in continuum mechanics and, in the present context, one finds certain generalizations of Newton's third law of motion and an elucidation of the nature of constraint forces and moments. One motivation for such a treatment can be found by considering approaches where invariance requirements are ignored. In contrast to the treatment presented in this paper, it is shown that this may lead to a difficulty in formulating the equations governing the motion of the system.

Modeling of Elastically Coupled Bodies: Part I—General Theory and Geometric Potential Function Method

1998 ◽  
Vol 120 (4) ◽  
pp. 496-500 ◽  
Author(s):  
Ernest D. Fasse ◽  
Peter C. Breedveld
Keyword(s):  
General Theory ◽  
Potential Energy ◽  
Potential Function ◽  
Geometric Modeling ◽  
Function Method ◽  
Rigid Bodies ◽  
Potential Functions ◽  
Energy Functions ◽  
Automatic Computation ◽  
Potential Energy Functions

This paper looks at spatio-geometric modeling of elastically coupled rigid bodies. Desirable properties of compliance families are defined (sufficient diversity, parsimony, frame-indifference, and port-indifference). A novel compliance family with the desired properties is defined using geometric potential energy functions. The configuration-dependent wrenches corresponding to these potential functions are derived in a form suitable for automatic computation.

Potential energy functions for the ground state surfaces of SO2 and S2O

1985 ◽  
Vol 56 (4) ◽  
pp. 839-851 ◽  
Author(s):  
J.N. Murrell ◽  
W. Craven ◽  
M. Vincent ◽  
Z.H. Zhu
Keyword(s):  
Potential Energy ◽  
Ground State ◽  
Energy Functions ◽  
Potential Energy Functions

scholarly journals Reconstructing potential energy functions from simulated force-induced unbinding processes

1997 ◽  
Vol 73 (3) ◽  
pp. 1281-1287 ◽  
Author(s):  
M. Balsera ◽  
S. Stepaniants ◽  
S. Izrailev ◽  
Y. Oono ◽  
K. Schulten
Keyword(s):  
Potential Energy ◽  
Energy Functions ◽  
Potential Energy Functions ◽  
Simulated Force

Relationships Among Potential-Energy Functions

2004 ◽  
Vol 36 (2) ◽  
pp. 161-165 ◽  
Author(s):  
Francisco M. Fernández ◽  
Eduardo A. Castro
Keyword(s):  
Potential Energy ◽  
Energy Functions ◽  
Potential Energy Functions

scholarly journals A test of ab initio-generated, radial intermolecular potential energy functions for five axially-symmetric, hydrogen-bonded complexes B⋯HF, where B = N2, CO, PH3, HCN and NH3

2021 ◽  
Vol 23 (12) ◽  
pp. 7271-7279
Author(s):  
Anthony C. Legon
Keyword(s):  
Hydrogen Bond ◽  
Potential Energy ◽  
Ab Initio ◽  
Intermolecular Potential ◽  
Axially Symmetric ◽  
Energy Functions ◽  
Potential Energy Functions ◽  
Acceptor Atom ◽  
Bonded Complexes ◽  
Hydrogen Bonded

Radial P.E. functions of hydrogen-bonded complexes B⋯HF (B = N2, CO, PH3, HCN and NH3) have been calculated ab initio at the CCSD(T)(F12C)/cc-pVTZ-F12 level as a function of the hydrogen-bond length r(Z⋯H), where Z is the H-bond acceptor atom of B.

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