Abstract
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 and its application to automobile crash simulation. 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 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. The program is used to analyze plastic deformations of structures by employing a plastic hinge concept.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 371-400 |
| Number of pages | 30 |
| Journal | Journal of Structural Mechanics |
| Volume | 12 |
| Issue number | 3 |
| State | Published - 1984 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Engineering(all)
Cite this
STRUCTURAL COLLAPSE AND VEHICULAR CRASH SIMULATION USING A PLASTIC HINGE TECHNIQUE. / Nikravesh, Parviz E; Chung, In Soo.
In: Journal of Structural Mechanics, Vol. 12, No. 3, 1984, p. 371-400.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - STRUCTURAL COLLAPSE AND VEHICULAR CRASH SIMULATION USING A PLASTIC HINGE TECHNIQUE.
AU - Nikravesh, Parviz E
AU - Chung, In Soo
PY - 1984
Y1 - 1984
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 and its application to automobile crash simulation. 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 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. The program is used to analyze plastic deformations of structures by employing a plastic hinge concept.
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 and its application to automobile crash simulation. 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 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. The program is used to analyze plastic deformations of structures by employing a plastic hinge concept.
UR - http://www.scopus.com/inward/record.url?scp=0021620035&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0021620035&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0021620035
VL - 12
SP - 371
EP - 400
JO - Mechanics Based Design of Structures and Machines
JF - Mechanics Based Design of Structures and Machines
SN - 1539-7734
IS - 3
ER -