TY - JOUR
ID - 4529
TI - Modal Analysis of Two-Dimensional Beams Using Parallel Finite Element Method
JO - Scientia Iranica
JA - SCI
LA - en
SN - 1026-3098
AU - Heydari, Soroush
AU - Asil Gharebaghi, Saeed
AD - Civil Engineering Faculty, K. N. Toosi University of Technology, Tehran, Iran
Y1 - 2017
PY - 2017
VL - 24
IS - 6
SP - 2762
EP - 2775
KW - Eigenvalue problem
KW - Parallel processing
KW - FEM
KW - CSR matrix compression
KW - Davidson algorithm
KW - Modified Checkered Method
DO - 10.24200/sci.2017.4529
N2 - Modal analysis is the process of determination of the natural frequencies and mode shapes of structures. In practical problems, modal analysis may be repeated many times, which results in a huge amount of computations. Although parallel processing technique can reduce the analysis time, it is rarely implemented by civil engineers because it requires more programming skills as well as designing parallel algorithms. In the present paper, the Davidson algorithm is adapted for parallel modal analysis of two-dimensional beams. More precisely, the parallel version of the Davidson algorithm is implemented from scratch. A new proposed method, which is called "Modified Checkered Method" (MCM), is introduced, and four versions of the algorithm, are implemented. Two out of four versions use Row-wise and MCM in combination with Compressed Sparse Row algorithm, while the others utilize the aforesaid methods without matrix compression. It is shown that the speedup increases when the main matrix of the standard form of eigenvalue problem is not compressed. Moreover, the speedup will increase in comparison to the Row-wise division method when MCM is used. It is notable that the implemented Parallel Finite Element source code is capable of being used in companion with a wide variety of finite elements.
UR - https://scientiairanica.sharif.edu/article_4529.html
L1 - https://scientiairanica.sharif.edu/article_4529_2093824a2f3305fb058ceef1735fc90a.pdf
ER -