Eigenvalue Analysis of Double-span Timoshenko Beams by Pseudo spectral Method

다국어 초록 (Multilingual Abstract)

The pseudospectral method is applied to the free vibration analysis of double-span Timoshenko beams. The analysis is based on the Chebyshev polynomials. Each section of the double-span beam has its own basis functions, and the continuity conditions at the intermediate support as well as the boundary conditions are treated separately as the constraints of the basis functions. Natural frequencies are provided for different thickness-to-Iength ratios and for different span ratios, which agree with those of Euler-Bernoulli beams when the thickness-to-Iength ratio is small but deviate considerably as the thickness-to-Iength ratio grows larger.

목차 (Table of Contents)

• Abstract
  
• 1. Introduction
  
• 2. Formulations of Double-span Timoshenko Beams
  
• 3. Numerical Examples
  
• 4. Conclusions
  
• Acknowledgments
  
• References

참고문헌 (Reference)

1 "“Vibration of Multi-span Timoshenko Beams to a Moving Force ”" 1997

2 "“Vibration of Continuous Bridges under Moving Vehicle ” Journal of Sound and Vibration" 1994

3 "“The Green Function Method in Frequency Analysis of a Beam with Intermediate Elastic Supports ” Journal of Sound and Vibration" 1991

4 "“Out-of-plane Free Vibration Analysis of Curved Timoshenko Beams by the Pseudospectral Method ”" 2004

5 "“Natural Flexural Vibrations of a Continuous Beam on Discrete Elastic Supports ”" 2004

6 "“In-Plane Free Vibration Analysis of Curved Timoshenko Beams by the Pseudospectral method" 2003b

7 "“Free Vibration of Multi-span Timoshenko Beams Using Static Timoshenko Beam Functions ”" 2001

8 "“Free Vibration Analysis of Multi-span beams with Intermediate Flexible Constraints ”" 2005

9 "“Free Vibration Analysis of Continuous Beam ” American Society of Civil Engineers Journal of Engineering Mechanics" 1985

10 "“Free Lateral Vibration Analysis of Double-span Uniform Beams ” International Journal of Mechanical Sciences" 1974

11 "“Eigenvalue Analysis of Timoshenko Beams and Axisymmetric Mindlin Plates by the Pseudospectral Method ”" 2004

12 "“Eigenvalue Analysis of Circular Mindlin Plates Using the Pseudospectral Method ”" 2002

13 "“Eigenvale Analysis of Rectangular Mindlin Plates by Chebyshev Pseudospectral Method" 2003a

14 "“Dynamic Response of Infinite Continuous Beams Subjected to a Moving Force-an Exact Method ” Journal of Sound and Vibration" 1988

15 "“Application of the Collocation Method to Vibration Analysis of Rectangular Mindlin Plates" 1984

16 "“Application of the Chebyshev-Fourier Pseudospectral Method to the Eigenvalue Analysis of Circular Mindlin Plates with Free Boundary Conditions" 2003c

17 "“Application of Pseudospectral Element Method to the Analysis of Reisnner-Mindlin Plates ”" 1998

18 "Lecture Notes in Engineering" 1989