Free Vibrations of Triangular Plates with a Hole*

The aim of this work was to determine by vibration tests the longitudinal elastic modulus and shear modulus of welded joints by flux cored arc welding. These two material properties are characteristic elastic constants of tensile stress respectively torsion stress and can be determined by several non-destructive methods. One of the latest non-destructive experimental techniques in this field is based on the analysis of the vibratory signal response from the welded sample. An algorithm based on Pronys series method is used for processing the acquired signal due to sample response of free vibrations. By the means of Finite Element Method (FEM), the natural frequencies and modes shapes of the same specimen of carbon steel were determined. These results help to interpret experimental measurements and the vibration modes identification, and Youngs modulus and shear modulus determination.

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Re-investigation of large-amplitude free vibrations of beams using finite elements

Journal of Sound and Vibration ◽

10.1016/0022-460x(90)90958-3 ◽

1990 ◽

Vol 143 (2) ◽

pp. 351-355 ◽

Cited By ~ 52

Author(s):

G. Singh ◽

G. Venkateswara Rao ◽

N.G.R. Iyengar

Keyword(s):

Finite Elements ◽

Large Amplitude ◽

Free Vibrations

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Free vibrations of hybrid cable networks with external dampers and pretensioned cross-ties

Mechanical Systems and Signal Processing ◽

10.1016/j.ymssp.2021.107627 ◽

2021 ◽

Vol 156 ◽

pp. 107627

Author(s):

Fangdian Di ◽

Lin Chen ◽

Limin Sun

Keyword(s):

Free Vibrations ◽

Cable Networks

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Vibration of rotating circular cylindrical shells with distributed springs

Journal of Mechanics ◽

10.1093/jom/ufab008 ◽

2021 ◽

Vol 37 ◽

pp. 346-358

Author(s):

Fuchun Yang ◽

Xiaofeng Jiang ◽

Fuxin Du

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Shell Theory ◽

Rotation Speed ◽

Cylindrical Shells ◽

Free Vibrations ◽

Governing Equations ◽

Natural Response ◽

Circular Cylindrical Shells ◽

The Galerkin Method

Abstract Free vibrations of rotating cylindrical shells with distributed springs were studied. Based on the Flügge shell theory, the governing equations of rotating cylindrical shells with distributed springs were derived under typical boundary conditions. Multicomponent modal functions were used to satisfy the distributed springs around the circumference. The natural responses were analyzed using the Galerkin method. The effects of parameters, rotation speed, stiffness, and ratios of thickness/radius and length/radius, on natural response were also examined.

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