On the Accuracy and Stability of a Variety of Differential Quadrature Formulations for the Vibration Analysis of Beams

C. H. W. Ng; Y. B. Zhao; Y. Xiang; G. W. Wei

Makale detayları

On the Accuracy and Stability of a Variety of Differential Quadrature Formulations for the Vibration Analysis of Beams

Yazarlar:

C. H. W. Ng | Y. B. Zhao | Y. Xiang | G. W. Wei

Yayıncı:

Akdeniz University

Dergi:

International Journal of Engineering and Applied Sciences 2009 Vol.1 Issue 4, pp.1-25

Belge Tipi:

Makale

Yayın Tarihi:

11/2009

Belge Dili:

Türkçe

Document ID (Org No.):

2000459994

Sıklık:

Üç Aylık

eISSN:

1309-0267

Özet:

 

The occurrence of spurious complex eigenvalues is a serious stability problem in many differential quadrature methods (DQMs). This paper studies the accuracy and stability of a variety of different differential quadrature formulations. Special emphasis is given to two local DQMs. One utilizes both fictitious grids and banded matrices, called local adaptive differential quadrature method (LaDQM). The other has banded matrices without using fictitious grids to facilitate boundary conditions, called finite difference differential quadrature methods (FDDQMs). These local DQMs include the classic DQMs as special cases given by extending their banded matrices to full matrices. LaDQMs and FDDQMs are implemented on a variety of treatments of boundary conditions, distributions of grids (i.e., uniform grids and Chebyshev grids), and lengths of stencils. A comprehensive comparison among these methods over beams of six different combinations of supporting edges sheds light on the stability and accuracy of DQMs.

Makale detayları

On the Accuracy and Stability of a Variety of Differential Quadrature Formulations for the Vibration Analysis of Beams

Yazarlar: C. H. W. Ng | Y. B. Zhao | Y. Xiang | G. W. Wei

Yayıncı: Akdeniz University

Dergi: International Journal of Engineering and Applied Sciences 2009 Vol.1 Issue 4, pp.1-25

Belge Tipi: Makale

Yayın Tarihi: 11/2009

Belge Dili: Türkçe

Document ID (Org No.): 2000459994

Sıklık: Üç Aylık

eISSN: 1309-0267

Sayı

Yazarlar:

C. H. W. Ng | Y. B. Zhao | Y. Xiang | G. W. Wei

Yayıncı:

Akdeniz University

Dergi:

International Journal of Engineering and Applied Sciences 2009 Vol.1 Issue 4, pp.1-25

Belge Tipi:

Makale

Yayın Tarihi:

11/2009

Belge Dili:

Türkçe

Document ID (Org No.):

2000459994

Sıklık:

Üç Aylık

eISSN:

1309-0267