On New Symplectic Approach for Exact Free Vibration Solutions of Moderately Thick Rectangular Plates with Two Opposite Edges Simply Supported

R. Lİ; Y. Zhong

Makale detayları

On New Symplectic Approach for Exact Free Vibration Solutions of Moderately Thick Rectangular Plates with Two Opposite Edges Simply Supported

Yazarlar:

R. Lİ | Y. Zhong

Yayıncı:

Akdeniz University

Dergi:

International Journal of Engineering and Applied Sciences 2009 Vol.1 Issue 3, pp.13-28

Belge Tipi:

Makale

Yayın Tarihi:

8/2009

Belge Dili:

Türkçe

Document ID (Org No.):

2000460018

Sıklık:

Üç Aylık

eISSN:

1309-0267

Özet:

 

The purpose of this paper is to report the effective application of a new symplectic approach for exact free vibration solutions of moderately thick rectangular plates. By way of a simple but rigorous derivation, the governing differential equations for free vibration of the plates are transferred into Hamilton canonical equations. The whole state variables are then separated. Using the method of eigenfunction expansion in the symplectic geometry, the free vibration analysis of moderately thick rectangular plates with two opposite edges simply supported is performed and exact vibration solutions are obtained. The method eliminates the need to pre-determine any trial functions hence more reasonable than other available methods. Comprehensive numerical results are presented to validate the approach proposed here by comparison with those established in the open literature.

Makale detayları

On New Symplectic Approach for Exact Free Vibration Solutions of Moderately Thick Rectangular Plates with Two Opposite Edges Simply Supported

Yazarlar: R. Lİ | Y. Zhong

Yayıncı: Akdeniz University

Dergi: International Journal of Engineering and Applied Sciences 2009 Vol.1 Issue 3, pp.13-28

Belge Tipi: Makale

Yayın Tarihi: 8/2009

Belge Dili: Türkçe

Document ID (Org No.): 2000460018

Sıklık: Üç Aylık

eISSN: 1309-0267

Sayı

Yazarlar:

R. Lİ | Y. Zhong

Yayıncı:

Akdeniz University

Dergi:

International Journal of Engineering and Applied Sciences 2009 Vol.1 Issue 3, pp.13-28

Belge Tipi:

Makale

Yayın Tarihi:

8/2009

Belge Dili:

Türkçe

Document ID (Org No.):

2000460018

Sıklık:

Üç Aylık

eISSN:

1309-0267