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TECHNICAL PAPERS

Exact Solutions for Out-of-Plane Vibration of Curved Nonuniform Beams

[+] Author and Article Information
S. Y. Lee, J. C. Chao

Mechanical Engineering Department, National Cheng Kung University, Tainan, Taiwan 701, R. O. C.

J. Appl. Mech 68(2), 186-191 (May 16, 2000) (6 pages) doi:10.1115/1.1346679 History: Received October 20, 1999; Revised May 16, 2000
Copyright © 2001 by ASME
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References

Figures

Grahic Jump Location
Geometry and coordinate system of a curved nonuniform beam of constant radius
Grahic Jump Location
The influence of taper ratio on the first dimensionless natural frequencies Λθ of clamped-free beams with various center angle θ0 (Lθ=30,b(0)=1.5; –: θ0=0 deg; [[dot_dash_line]]: θ0=20 deg; [[dashed_line]]: θ0=40 deg; [[dotted_line]]: θ0=60 deg)
Grahic Jump Location
The influence of taper ratio on the second dimensionless natural frequencies Λθ of clamped-free beams with various center angle θ0 (Lθ=30,b(0)=1.5; –: θ0=0 deg; [[dot_dash_line]]: θ0=20 deg; [[dashed_line]]: θ0=40 deg; [[dotted_line]]: θ0=60 deg)
Grahic Jump Location
The influence of dimensionless arc length on the first dimensionless natural frequencies Λθ of clamped-free beams with various taper ratio (b(0)=1.5,θ0=60 deg; –: η=0; [[dashed_line]]: η=0.2; [[dotted_line]]: η=0.4; [[dot_dash_line]]: η=0.6)
Grahic Jump Location
The influence of dimensionless arc length on the second dimensionless natural frequencies of clamped-free beams with various taper ratio (b(0)=1.5,θ0=60 deg; –: η=0; [[dashed_line]]: η=0.2; [[dotted_line]]: η=0.4; [[dot_dash_line]]: η=0.6)

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