TY - JOUR
T1 - APPLICATION OF EULER PARAMETERS TO THE DYNAMIC ANALYSIS OF THREE-DIMENSIONAL CONSTRAINED MECHANICAL SYSTEMS.
AU - Nikravesh, P. E.
AU - Chung, I. S.
PY - 1981
Y1 - 1981
N2 - This paper presents a computer-based method for formulation and efficient solution of nonlinear, constrained differential equations of motion for spatial dynamic analysis of mechanical systems. Nonlinear holonomic constraint equations and differential equations of motion are written in terms of a maximal set of Cartesian generalized coordinates, three translational and four rotational coordinates for each rigid body in the system, where the rotational coordinates are the Euler parameters. A numerical integration algorithm with positive-error control, employing a predictor-corrector algorithm with variable order and step size, integrates for only the independent variables, yet effectively determines dependent variables.
AB - This paper presents a computer-based method for formulation and efficient solution of nonlinear, constrained differential equations of motion for spatial dynamic analysis of mechanical systems. Nonlinear holonomic constraint equations and differential equations of motion are written in terms of a maximal set of Cartesian generalized coordinates, three translational and four rotational coordinates for each rigid body in the system, where the rotational coordinates are the Euler parameters. A numerical integration algorithm with positive-error control, employing a predictor-corrector algorithm with variable order and step size, integrates for only the independent variables, yet effectively determines dependent variables.
UR - http://www.scopus.com/inward/record.url?scp=85069338548&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85069338548&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:85069338548
SN - 0402-1215
JO - American Society of Mechanical Engineers (Paper)
JF - American Society of Mechanical Engineers (Paper)
T2 - Unknown conference
Y2 - 20 September 1981 through 23 September 1981
ER -