A modified Vlasov theory for dynamic analysis of thin-walled and variable open section beams

2000 ◽  
Vol 22 (8) ◽  
pp. 890-900 ◽  
Author(s):  
Ricardo Daniel Ambrosini ◽  
Jorge Daniel Riera ◽  
Rodolfo Francisco Danesi
2008 ◽  
Vol 30 (5) ◽  
pp. 603-617 ◽  
Author(s):  
Tianyu Xiang ◽  
Tengfei Xu ◽  
Xinpeng Yuan ◽  
Renda Zhao ◽  
Yuqiang Tong

1995 ◽  
Vol 38 (17) ◽  
pp. 2867-2885 ◽  
Author(s):  
Ricardo Daniel Ambrosini ◽  
Jorge Daniel Riera ◽  
Rodolfo Francisco Danesi

2018 ◽  
Vol 1 (1) ◽  
Author(s):  
Chellapilla Kameswara Rao 1 ◽  
Lokavarapu Bhaskara Rao 2

The present paper deals with spectral dynamic analysis of free torsional vibration of doubly symmetric thin-walled beams of open section. Spectral frequency equation is derived in this paper for the case of rotationally restrained doubly-symmetric thin-walled beam with one end rotationally restrained and transversely restrained at the other end. The resulting transcendental frequency equation with appropriate boundary conditions is derived and is solved for varying values of warping parameter and the rotational and transverse restraint parameter. The influence of rotational restraint parameter, transverse restraint parameter and warping parameter on the free torsional vibration frequencies is investigated in detail. A MATLAB computer program is developed to solve the spectral frequency equation derived in this paper. Numerical results for natural frequencies for various values of rotational and transverse restraint parameters for various values of warping parameter are obtained and presented in both tabular as well as graphical form showing the influence of these parameters on the first fundamental torsional frequency parameter.


1972 ◽  
Vol 39 (3) ◽  
pp. 779-785 ◽  
Author(s):  
A. I. Soler

Equations of motion are derived for coupled extension, flexure, and torsion of pretwisted curved bars of thin-walled, open section. The derivation is based on energy principles and includes inertia terms. The major effect of initial pretwist is to allow coupling of all possible beam deformation modes; however, if the bar is straight and has two axes of symmetry, pretwist causes coupling only between the two bending modes, and between extension and torsion. The governing equations are presented in first-order form, and a numerical technique is suggested for the case of space varying pretwist. It is suggested that these equations may form the basis for a simplified study of the effect of superelevation on the static and dynamic response of curved highway bridges. Finally, a simple straight beam with uniform pretwist is studied to compare effects of pretwist and restrained torsion in a thin-walled beam of open section.


1994 ◽  
Vol 30 (1) ◽  
pp. 43-54 ◽  
Author(s):  
J. Altenbach ◽  
H. Altenbach ◽  
V. Matzdorf

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