A differential Quadrature out-of-plane vibration analysis of axially moving thin plates

2011 ◽  
Author(s):  
Liu Jin-tang ◽  
Fu Li ◽  
Yang Xiao-dong ◽  
Wen Bang-chun
Keyword(s):  
Vibration Analysis ◽  
Differential Quadrature ◽  
Thin Plates ◽  
Plane Vibration ◽  
Out Of Plane ◽  
Axially Moving

Out-of-Plane Vibration of Nonprismatic Curved Beam Structures Considering the Effect of Shear Deformation Solved by DQEM

2004 ◽  
Author(s):  
Chang-New Chen
Keyword(s):  
Shear Deformation ◽  
Vibration Analysis ◽  
Differential Quadrature ◽  
Analysis Model ◽  
Beam Structures ◽  
Plane Vibration ◽  
Differential Quadrature Element Method ◽  
Quadrature Element Method ◽  
Out Of Plane ◽  
Element Boundary

The development of differential quadrature element method out-of-plane vibration analysis model of curved nonprismatic beam structures considering the effect of shear deformation was carried out. The DQEM uses the differential quadrature to discretize the governing differential eigenvalue equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithm are presented. The convergence of the developed DQEM analysis model is efficient.

scholarly journals Parametric Instability of a Traveling Plate Partially Supported by a Laterally Moving Elastic Foundation

2008 ◽  
Vol 130 (5) ◽  
Author(s):  
V. Kartik ◽  
J. A. Wickert
Keyword(s):  
Data Storage ◽  
Parametric Instability ◽  
Primary Resonance ◽  
Free Edge ◽  
Moving Plate ◽  
Torsional Mode ◽  
Plane Vibration ◽  
Out Of Plane ◽  
Axially Moving ◽  
The Stability

The parametric excitation of an axially moving plate is examined in an application where a partial foundation moves in the plane of the plate and in a direction orthogonal to the plate’s transport. The stability of the plate’s out-of-plane vibration is of interest in a magnetic tape data storage application where the read/write head is substantially narrower than the tape’s width and is repositioned during track-following maneuvers. In this case, the model’s equation of motion has time-dependent coefficients, and vibration is excited both parametrically and by direct forcing. The parametric instability of out-of-plane vibration is analyzed by using the Floquet theory for finite values of the foundation’s range of motion. For a relatively soft foundation, vibration is excited preferentially at the primary resonance of the plate’s fundamental torsional mode. As the foundation’s stiffness increases, multiple primary and combination resonances occur, and they dominate the plate’s stability; small islands, however, do exist within unstable zones of the frequency-amplitude parameter space for which vibration is marginally stable. The plate’s and foundation’s geometry, the foundation’s stiffness, and the excitation’s amplitude and frequency can be selected in order to reduce undesirable vibration that occurs along the plate’s free edge.

In-Plane Vibration of Nonprismatic Curved Beam Structures Considering the Effect of Shear Deformation Solved by DQEM

2005 ◽  
Author(s):  
Chang-New Chen
Keyword(s):  
Shear Deformation ◽  
Vibration Analysis ◽  
Differential Quadrature ◽  
Curved Beam ◽  
Analysis Model ◽  
Beam Structures ◽  
Plane Vibration ◽  
Differential Quadrature Element Method ◽  
Quadrature Element Method ◽  
Element Boundary

The development of differential quadrature element method in-plane vibration analysis model of curved nonprismatic beam structures considering the effect of shear deformation was carried out. The DQEM uses the differential quadrature to discretize the governing differential eigenvalue equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithm are presented. The convergence of the developed DQEM analysis model is efficient.

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