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.

A COMPARATIVE STUDY OF EMPIRICAL POTENTIAL ENERGY FUNCTIONS: APPLICATIONS TO SILICON MICROCLUSTERS

2004 ◽  
Vol 15 (03) ◽  
pp. 403-408 ◽  
Author(s):  
ŞAKIR ERKOÇ ◽  
KUNIO TAKAHASHI
Keyword(s):  
Potential Energy ◽  
Comparative Study ◽  
Linear Structure ◽  
Potential Functions ◽  
Energy Functions ◽  
Tetrahedral Structure ◽  
Potential Energy Functions ◽  
Empirical Potential ◽  
Triangular Structure

A comparative study has been performed for silicon microclusters, Si 3 and Si 4, considering fifteen different empirical potential energy functions. It has been found that only two of the empirical potential energy functions give linear structure more stable for Si 3, the remaining potential functions give triangular structure as more stable. In the case of Si 4 microclusters eight potential functions give open tetrahedral structure as more stable, two functions give perfect tetrahedral as more stable, three functions give square structure as more stable, and two functions give linear structure as more stable.

On the Validity of Tietz Potential Functions for Diatomic Molecules

1972 ◽  
Vol 50 (5) ◽  
pp. 428-430 ◽  
Author(s):  
S. B. Rai ◽  
V. N. Sharma ◽  
D. K. Rai
Keyword(s):  
Potential Energy ◽  
Diatomic Molecules ◽  
Potential Functions ◽  
Potential Energy Curves ◽  
Energy Functions ◽  
Potential Energy Functions ◽  
Tietz Potential

The potential energy curves for several diatomic molecules have been calculated by using Tietz potential energy functions and the values thus obtained have been compared with that of RKRV. It is found that in some cases this empirical form is a good approximation to the true curve.

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.

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
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