Accelerated Convergence Study of the Eigenvalue Problems with Limited Continuities

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概要

• 論文の詳細を見る

• The numerical convergence of general eigenvalue problems associated with limited derivatives of eigenfunctions is investigated. By introducing the judicious choice of trial functions in global discretization based on the Galerkin's method, the convergence rate can be accelerated significantly. This paper describes how the trial functions are constructed and explains mathematically why the convergence rate can be accelerated through the concept of function decomposition. The method described here is generic and can be applied to all structural dynamics applications where eigenfunctions have limited continuities: i.e., cable, rod, beam, membrane, plate and shell structures containing discrete elements (masses, springs, dashpots, etc.), voids (cracks, or abrupt inhomogeneities), or concentrated loads. Some numerical examples are also illustrated.

• Published by the Japan Society of Applied Physics through the Institute of Pure and Applied Physicsの論文
• 2003-03-15

著者

• Chen Chih-keng

  Department Of Mechanical And Automatic Engineering Da-yeh University

• Lin Hai-Ping

  Department of Mechanical and Automation Engineering, Da Yeh University, 112 Shan-Jiau Rd., Dah-Tsuen, Changhwa, Taiwan 51505, R.O.C.

• Chen Chih-Keng

  Department of Mechanical and Automation Engineering, Da Yeh University, 112 Shan-Jiau Rd., Dah-Tsuen, Changhwa, Taiwan 51505, R.O.C.

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