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Journal Articles
Journal Articles
Accepted Manuscript
Article Type: Research Papers
J. Vib. Acoust.
Paper No: VIB-22-1094
Published Online: August 1, 2022
Topics: Modal analysis
Journal Articles
Journal Articles
Journal Articles
Journal Articles
Journal Articles
Accepted Manuscript
Article Type: Research Papers
J. Vib. Acoust.
Paper No: VIB-22-1196
Published Online: July 22, 2022
Journal Articles
Journal Articles
Journal Articles
Journal Articles
Journal Articles
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Schematic of the curved beam. Right side is clamped.  R 1   = 40 mm,  R 2  ...
Published Online: June 27, 2022
Fig. 1 Schematic of the curved beam. Right side is clamped. R 1 = 40 mm, R 2 = 45 mm, out-of-plane thickness t = 1 mm. More
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Variations of the normalized elastic modulus and density along the beam as ...
Published Online: June 27, 2022
Fig. 2 Variations of the normalized elastic modulus and density along the beam as θ increases from 0 to 180 deg for ( a ) decreasing material properties with m = 0.9 and various n values, ( b ) decreasing material properties with n = 2 and various m values, ( c ) increasing material prop... More
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A differential element of the curved beam showing both degrees-of-freedom f...
Published Online: June 27, 2022
Fig. 3 A differential element of the curved beam showing both degrees-of-freedom for deformation of a cross section of the beam: ( a ) tangential displacement; u and ( b ) radial displacement; w More
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Free body diagram of a differential element of the curved beam showing forc...
Published Online: June 27, 2022
Fig. 4 Free body diagram of a differential element of the curved beam showing forces and moments (left) and equivalent inertial forces (right) More
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Schematic of the crack in the curved beam at  θ C   with a crack size of  d...
Published Online: June 27, 2022
Fig. 5 Schematic of the crack in the curved beam at θ C with a crack size of d . t C = 0.35 mm for all cracked curved beams studied. More
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Convergence of the normalized amplitude of ( a )  u ( x ) and ( b )  w ( x ...
Published Online: June 27, 2022
Fig. 6 Convergence of the normalized amplitude of ( a ) u ( x ) and ( b ) w ( x ) as the approximation terms increase. Results are obtained from the analytical model. E / E 0 = ρ / ρ 0 = (1 − m ( θ / π ) n ), m = n = 0.9. More
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Normalized first natural frequency values as a function of modulation param...
Published Online: June 27, 2022
Fig. 7 Normalized first natural frequency values as a function of modulation parameter n from the semi-analytical and FE models. E / E 0 = ρ / ρ 0 = (1 − m ( θ / π ) n ), m = 0.9. u and w are tangential and radial displacements of the centriod of the cross section and approximated... More
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Normalized first natural frequency of the FG curved beam with ( a,b ) decre...
Published Online: June 27, 2022
Fig. 8 Normalized first natural frequency of the FG curved beam with ( a,b ) decreasing and ( c,d ) increasing material properties along the curved beam for 0 < n < 30 and 0 < m < 1, and material properties (mass density and elastic modulus) are modulated in the tangential directio... More