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Time integration

A central difference time stepping algorithm has been used to discretize the governing equilibrium equation in time. Written in an incremental form, it leads to the following relation

(1)


where . The is load vector and is vector of real internal forces at time . From given displacement increment vectors and , the corresponding vectors of velocities and accelerations can be easily computed using

(2)


(3)


Particularly, the use of diagonal mass matrix and dumping matrix expressed in the form of ( ) is assumed. This significantly simplifies the solution of the problem and leads to an efficient implementation of the proposed parallel algorithm.



Next: Parallelization strategy Up: Top Previous: Introduction

Daniel Rypl
2005-12-03