A modified RCM bandwidth optimizing algorithm for FEM analysis
Received:October 09, 2008  
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DOI:10.7511/jslx20104021
KeyWord:finite element  bandwidth optimization  modified RCM algorithm  column height sum  topological relationship
              
AuthorInstitution
杜宪亭 北京交通大学 土木建筑工程学院,北京
夏禾 北京交通大学 土木建筑工程学院,北京
龙佩恒 北京建筑工程学院 土木工程系,北京
余竹 北京交通大学 土木建筑工程学院,北京
王少钦 北京交通大学 土木建筑工程学院,北京
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Abstract:
      There exists a problem of instability in optimizing bandwidth by RCM(Reverse Cuthill-Mckee)algorithm in finite element analysis. Through systemic analysis on the algorithm, it is found that the key issue results from incomplete dependence on the topological relationship between the nodes during sequential arrangement. The instability of RCM algorithm is solved by increasing the column height sum as a new criterion for node sequential arrangement, on the base of considering layer and number of neighbor nodes as two old criterions. Via a real structure as an example, the stability of the modified RCM Algorithm is verified, an optimized scheme with less column height sum is achieved, and thus the goal is realized for saving computer memory and raising calculation efficiency.