Modal analysis of cantilever plates undergoing accelerated in-plane motion

Lim, Hong Seok; Yoo, Hong Hee

doi:10.1016/j.jsv.2006.05.004

Cited by 11 publications

(7 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The von Karman plate theory considers a class of nonlinear plates that takes into account in-plane stretching (a membrane nonlinearity) in the equations of motion, and thus allows for the modeling of large displacements of the plate. A modal expansion solution exists for the case of a cantilevered von Karman plate [45], but analytical, closed form solutions are not available for most other cases with general boundary conditions. A number of approximate methods exist, however, that can accurately model von Karman plates and shells [46].…”

Section: Introductionmentioning

confidence: 99%

Reduced order modeling of fluid/structure interaction.

Barone¹,

Kalashnikova²,

Segalman³

et al. 2009

View full text Add to dashboard Cite

This report describes work performed from October 2007 through September 2009 under the Sandia Laboratory Directed Research and Development project titled "Reduced Order Modeling of Fluid/Structure Interaction." This project addresses fundamental aspects of techniques for construction of predictive Reduced Order Models (ROMs). A ROM is defined as a model, derived from a sequence of high-fidelity simulations, that preserves the essential physics and predictive capability of the original simulations but at a much lower computational cost. Techniques are developed for construction of provably stable linear Galerkin projection ROMs for compressible fluid flow, including a method for enforcing boundary conditions that preserves numerical stability. A convergence proof and error estimates are given for this class of ROM, and the method is demonstrated on a series of model problems. A reduced order method, based on the method of quadratic components, for solving the von Karman nonlinear plate equations is developed and tested. This method is applied to the problem of nonlinear limit cycle oscillations encountered when the plate interacts with an adjacent supersonic flow. A stability-preserving method for coupling the linear fluid ROM with the structural dynamics model for the elastic plate is constructed and tested. Methods for constructing efficient ROMs for nonlinear fluid equations are developed and tested on a one-dimensional convectiondiffusion-reaction equation. These methods are combined with a symmetrization approach to construct a ROM technique for application to the compressible Navier-Stokes equations.

show abstract

Section: Introductionmentioning

confidence: 99%

Reduced order modeling of fluid/structure interaction.

Barone¹,

Kalashnikova²,

Segalman³

et al. 2009

View full text Add to dashboard Cite

show abstract

“…These are in good agreement. Table 3 shows the comparison with the results of Harris and Crede, 34 Lim and Yoo, 15 and Sinha. 16…”

Section: Resultsmentioning

confidence: 99%

“…Reddy and Chin 14 studied the dynamic thermomechanical response of FGM cylinders and plates subjected to thermal loading using the FSDT. Lim and Yoo 15 carried out the modal analysis of cantilever plate subjected to accelerated in-plane motion and derived the in-plane and lateral equations of motion using von Karman strain measures. Sinha 16 and Sinha and Turner 17 studied the dynamic response of pretwisted rotating air foil blade using calculus of variation and strain energy formulation for the Kirchhoff–von Karman's plate theory.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of rotating functionally graded material plate under nonlinear thermal environment using higher order shear deformation theory

Parida

Mohanty

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

In the present article, a higher order shear deformation theory is used to develop a finite element model for the free vibration analysis of a rotating functionally graded material plate in the thermal environment. The model is based on an eight-noded isoparametric element with seven degrees-of-freedom per node. The material properties are temperature dependent and graded along its thickness according to a simple power law distribution in terms of volume fraction of the constituents. The general displacement equation provides C0 continuity, and the transverse shear strain undergoes parabolic variation through the thickness of the plate. Therefore, the shear correction factor is not used in this theory. The obtained results are compared with the published results in the literature to determine the accuracy of the method. The effects of various parameters like hub radius, rotation speed, aspect ratio, thickness ratio, volume fraction index, and temperature on the frequency of rotating plate are investigated.

show abstract

“…Based on a linear discrete dynamic model, Yoo and Pierre (2003) studied the modal characteristics of a rotating isotropic cantilever plate at a specified stagger angle (90°). Lim and Yoo (2006) extended the previous work to consider the effect of the accelerated in-plane motion on the rotating plate. A thin rotating plate model at zero-stagger angle was presented by Xiao and Chen (2006).…”

Section: Introductionmentioning

confidence: 98%

Vibration of the rotating rectangular orthotropic Mindlin plates with an arbitrary stagger angle

Rostami

Bakhtiari-Nejad

Ranji

2018

Journal of Vibration and Control

View full text Add to dashboard Cite

In this article, the vibration analysis of rotating moderately thick cantilever orthotropic plate is analytically investigated. Based on the first order shear deformation plate theory, the partial differential equations of motion are derived using Hamilton’s principle. The centrifugal inertia forces and Coriolis effects due to the rotation are all considered. The analytical approaches, both extended Kantorovich method and extended Galerkin method, are employed to obtain the solution of the problem. Results obtained by these two methods are compared with those available in the open literature and good agreements are observed. The effects of various parameters, individually or in combination, on the vibrational behaviors are analyzed in detail. From the studies, it is found that in the rotating plates, when the stiffness ratio increases, the crossing/veering phenomenon occurs in the lower mode orders and/or rotation speeds. The results show that for each stiffness ratio, the effect of hub radius ratio is more significant on the out-of-plane mode frequencies than on the in-plane ones.

show abstract

Modal analysis of cantilever plates undergoing accelerated in-plane motion

Cited by 11 publications

References 13 publications

Reduced order modeling of fluid/structure interaction.

Reduced order modeling of fluid/structure interaction.

Free vibration analysis of rotating functionally graded material plate under nonlinear thermal environment using higher order shear deformation theory

Vibration of the rotating rectangular orthotropic Mindlin plates with an arbitrary stagger angle

Contact Info

Product

Resources

About