A family of implicit partitioned time integration algorithms for parallel analysis of heterogeneous structural systems

An implicit time integration algorithm is presented for the solution of linear structural dynamics problems on parallel computers. The present algorithm is derived from the partitioned equations of motion for a structure which consist of the equilibrium equations of each substructure due to its defo...

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Bibliographic Details
Published in:Computational mechanics 2000-01, Vol.24 (6), p.463-475
Main Authors: GUMASTE, U. A, PARK, K. C, ALVIN, K. F
Format: Article
Language:English
Subjects:
Algorithms
Chemical partition
Computer simulation
Deformation
Equations of motion
Equilibrium equations
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Lagrange multiplier
Mathematical methods in physics
Numerical approximation and analysis
Numerical differentiation and integration
Parallel computers
Partitions
Physics
Rigid-body dynamics
Solid mechanics
Structural and continuum mechanics
Substructures
Time integration
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:An implicit time integration algorithm is presented for the solution of linear structural dynamics problems on parallel computers. The present algorithm is derived from the partitioned equations of motion for a structure which consist of the equilibrium equations of each substructure due to its deformation energy, the self-equilibrium condition for each substructure under rigid-body motions, the partition boundary displacement compatibility condition and Newton's 3rd law along the partition boundary forces. A novel feature of the present algorithm is a flexibility normalization along the partitioned boundary nodes by using a localized version of the method of Lagrange multipliers, thus making the algorithm insensitive to both material and kinematic heterogeneities among the partitioned substructures. Numerical performance of the present algorithm demonstrates both its simplicity and efficiency. Hence, we recommend it for production analysis of heterogeneous structures modeled.
ISSN:0178-7675
1432-0924
DOI:10.1007/s004660050006