Highly Parallel Computation of Generalized Eigenvalue Problem in Vibration for Automatic Transmission of Vehicles Using the Sakurai–Sugiura Method and Supercomputers

  • Takanori IdeEmail author
  • Yuto Inoue
  • Yasunori Futamura
  • Tetsuya Sakurai
Conference paper
Part of the Mathematics for Industry book series (MFI, volume 26)


In this paper, we discuss highly parallel computational approach for solving eigenvalue problems arising from vibration problem in automatic transmission of vehicles. Vibration performance is an important quality measure of vehicles. Typically, vibration performance of automatic transmission strongly ties up to comfortable driving. Therefore, reduction of vibration is one of the key consideration of new automatic transmission design. However, the computational time for solving eigenvalue problems dominates that for the design optimization routine, and it becomes unacceptably long when we use a precise model which has a large number of degrees of freedom. Therefore, efficient approach to solve the large-scale eigenvalue problem is required. Owing to this situation, in this study, we present a performance of a hierarchical parallel eigensolver using state-of-the-art supercomputers such as the K computer and COMA .


Finite Element Model Parallel Performance Message Passing Interface Quadrature Point Linear Solver 
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Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  • Takanori Ide
    • 1
    Email author
  • Yuto Inoue
    • 2
  • Yasunori Futamura
    • 2
  • Tetsuya Sakurai
    • 2
  1. 1.Engineering DivisionAISIN AW CO., LTD.AnjoJapan
  2. 2.Department of Computer ScienceUniversity of TsukubaTsukubaJapan

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