Equations of flexural ? torsional waves in thin-walled bars of open cross section

1974 ◽  
Vol 10 (6) ◽  
pp. 640-644 ◽  
Author(s):  
B. A. Korbut ◽  
V. I. Lazarev
Keyword(s):  
Cross Section ◽  
Torsional Waves ◽  
Thin Walled ◽  
Open Cross Section

Free Vibration of Thin-Walled Open Section Beams With Unconstrained Damping Treatment

1981 ◽  
Vol 48 (1) ◽  
pp. 169-173 ◽  
Author(s):  
S. Narayanan ◽  
J. P. Verma ◽  
A. K. Mallik
Keyword(s):  
Free Vibration ◽  
Cross Section ◽  
Transverse Vibration ◽  
Natural Frequencies ◽  
Vibration Characteristics ◽  
Numerical Results ◽  
Simply Supported ◽  
Clamped Beams ◽  
Thin Walled ◽  
Open Cross Section

Free-vibration characteristics of a thin-walled, open cross-section beam, with unconstrained damping layers at the flanges, are investigated. Both uncoupled transverse vibration and the coupled bending-torsion oscillations, of a beam of a top-hat section, are considered. Numerical results are presented for natural frequencies and modal loss factors of simply supported and clamped-clamped beams.

Triply Coupled Vibration Band Gaps in Periodic Thin-Walled Open Cross Section Beams

2005 ◽  
Author(s):  
Dianlong Yu ◽  
Yaozong Liu ◽  
Jing Qiu ◽  
Gang Wang ◽  
Jihong Wen
Keyword(s):  
Cross Section ◽  
Expansion Method ◽  
Band Gaps ◽  
Vibration Band ◽  
Coupled Vibration ◽  
Plane Wave Expansion Method ◽  
Filling Fraction ◽  
Thin Walled ◽  
Gap Width ◽  
Open Cross Section

Triply coupled vibration through periodic thin-walled open cross section nonsymmetrical beams composed of two kinds of material is studied in this paper. Based on the triply coupled vibration equation, plane wave expansion method for the thin-walled beams is provided. If the filling fraction keeps constant, the lattice is one of the factors that affect the normalized gap width. If the lattice and filling fraction keep constant, the Young’s modulus contrast plays a fundamental role for the band gap width, but not density contrast. Finally, the frequency response of a finite periodic binary beam is simulated with finite element method, which provides an attenuation of over 20dB in the frequency range of the band gaps. The findings will be significant in the application of phononic crystals.

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