Efficient free vibration analysis of large structures with close or multiple natural frequencies. P. 1 : Undamped structures

• Autorzy: Lee I. W. , Jung H. J. , Kim M. Ch.
• Konferencja: International Conference on Numerical Mathematics and Computational Mechanics : NMCM'98 (8 th ; August 1998 ; Miskolc ; Hungary)
• Języki publikacji: EN

Abstrakty

EN

An efficient numerical method which can calculate the eigenproblem for the large structural system with multiple or close natural frequencies is presented. The method is formulated by the accelerated Newton-Raphson method to the transformed problem. The method can calculate the natural frequencies and mode shapes without any numerical instability which may be encountered in the well-known methods such as the subspace iteration method or the determinant search method which has been widely used for solving eigenvalue problem. The efficiency of the method verified by comparing convergence and solution time for numerical examples with those of the subspace iteration method and the determinant search method.

Słowa kluczowe

EN

free vibration; Newton-Raphson method

PL

metoda Newtona-Raphsona; drgania swobodne

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 1999
• Tom: Vol. 6, No. 3-4
• Strony: 403--414
• Opis fizyczny: Bibliogr. 9 poz., rys., tab., wykr.

Twórcy

autor

Lee I. W.

autor

Jung H. J.

autor

Kim M. Ch.

• Korea Advanced Institute of Science and Technology, Department of Civil Engineering, Taejon 305-701, Korea