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Research Papers

The Effect of Off-Neutral Axis Excitation on the Vibration Response of Finite Ribbed-Plates

[+] Author and Article Information
Tian Ran Lin1

School of Engineering Systems, Queensland University of Technology, 2 George Street, Brisbane QLD 4001, Australiatrlin@qut.edu.au

Jie Pan

School of Mechanical Engineering, The University of Western Australia, 35 Stirling Highway, Crawley WA6009, Australia

Chris Mechefske

Department of Mechanical and Materials Engineering, Queens University, Kingston, ON, K7L 3N6, Canada

1

Corresponding author.

J. Vib. Acoust 131(1), 011011 (Jan 07, 2009) (11 pages) doi:10.1115/1.2981097 History: Received October 28, 2007; Revised June 01, 2008; Published January 07, 2009

In this paper, an analytical solution is derived and used for studying the effect of off-neutral axis loading (point force excitation applied off the neutral axis of a rib) on ribbed-plate responses. Effects of off-neutral axis loading on ribbed-plate responses, in terms of input power and kinetic energy distribution in the component plates, are found to be significant except at frequencies where the beam flexural impedance is small (near the natural frequencies of the uncoupled beam). The negative input power component due to the point force or moment excitation is observed and explained in this analysis. Energy flow from the beam to the plates is dominated by the shear force coupling at the beam/plate interface if the force excitation is applied on the neutral axis of the beam. As the point force excitation location shifts away from the neutral axis, the beam is excited by a force and a moment. These dual excitations involve both shear force and moment couplings at the interface. Thus, changes in the energy flow into the component plates are dependent on the relative phase between the individual induced responses by the point force and moment excitations. This paper also discusses changes in the kinetic energy of the component plates due to changes in the energy flow.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Description of the ribbed-plate model: (a) 3D model and (b) 2D cross section. Note that the graph is not drawn to scale; c is the centroid of the beam.

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Figure 2

The three structural components of the ribbed-plate and the associated local coordinate systems

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Figure 3

The real part of input mobility of the ribbed-plate due to point force excitation on (the neutral axis of) the beam

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Figure 4

Input power of the ribbed-plate due to a point force, a torsional moment (Mt=Fbl, l=20 mm) and their combined excitations

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Figure 5

The velocity and angular velocity responses at the source location of the finite ribbed-plate due to the point force and moment excitations

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Figure 6

The moment and shear force components of energy flow between the beam and the two component plates due to point force excitation and moment excitations on the beam: (a) Pmf, energy flow component due to moment coupling at the interface and point force excitation at the beam; (b) Psf, due to shear force coupling and point force excitation; (c) Pmm, due to moment coupling and moment excitation; (d) Psm, due to shear force coupling and moment excitation

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Figure 7

Moment and shear components of the energy flow between the beam and the two component plates due to the combined force and moment excitations: (a) energy flow due to moment coupling (Pmfm); (b) energy flow due to shear force coupling (Psfm)

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Figure 8

The absolute value of moment and shear force evaluated at y=yb on both sides of the interface due to point force, moment, and their combined excitations. (a) Force on the left; (b) force on the right; (c) moment on the left; (d) moment on the right. Solid line, force excitation only; thick solid line, moment excitation only; dotted line, combined excitation.

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Figure 9

Kinetic energy in Plate 1 due to the point force, moment, and their combined excitations

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Figure 10

Kinetic energy in Plate 2 due to the point force, moment, and their combined excitations

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