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K.P. Walker

Bio: K.P. Walker is an academic researcher from Pratt & Whitney. The author has contributed to research in topics: Finite element method & Rotary inertia. The author has an hindex of 1, co-authored 1 publications receiving 38 citations.

Papers
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K.P. Walker1
TL;DR: In this article, a conforming finite shell element suitable for the analysis of curved twisted fan blades is developed and applied to a number of fan blade models, where the element is assumed to be a doubly curved right helicoidal shell, in which the curvature is shallow with respect to the twisted base plane defining the helicoid.

38 citations


Cited by
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TL;DR: In this paper, the authors presented accurate non-dimensional frequency parameters for wide ranges of aspect ratio, shallowness ratio and thickness ratio for shallow shells, based on shallow shell theory.

69 citations

Journal ArticleDOI
TL;DR: Shallow shell theory and the Ritz method are employed to determine the frequencies and mode shapes of turbomachinery blades having both camber and twist, rotating with non-zero angles of attack as discussed by the authors.
Abstract: Shallow shell theory and the Ritz method are employed to determine the frequencies and mode shapes of turbomachinery blades having both camber and twist, rotating with non-zero angles of attack. Frequencies obtained for different degrees of shallowness and thickness are compared with results available in the literature, obtained from finite element analyses of nonrotating blades. Frequencies are also determined for a rotating blade, showing the effects of changing the (1) angular velocity of rotation, (2) disk radius and (3) angle of attack, as well as the significance of the most important body force terms.

60 citations

Journal ArticleDOI
TL;DR: In this article, a comprehensive study made of the free vibrations of twisted, cantilevered plates of rectangular planform is presented, and the theoretical and experimental results for models having useful ranges of aspect ratios, thickness ratios and twist angles.

51 citations

Journal ArticleDOI
TL;DR: In this article, a comprehensive study on the modeling of vibratory response of variable thickness cantilevered shallow cylindrical shells of rectangular planform is carried out through the principle of minimum total energy, the equations of stretching and bending strain energies, kinetic energy, and associated boundary conditions of the shells are derived.
Abstract: In this paper, a comprehensive study on the modeling of vibratory response of variable thickness cantilevered shallow cylindrical shells of rectangular planform is carried out. Through the principle of minimum total energy, the equations of stretching and bending strain energies, kinetic energy, and the associated boundary conditions of the shells are derived. The present model is developed based on the Ritz formulation with the assumption of sets of mathematicall y complete admissible two-dimensional polynomials to approximate the in-plane and transverse displacement amplitude functions. A basic function is introduced in the approximate method to enforce automatic satisfaction of the kinematic boundary conditions. Sets of comprehensive reasonably accurate vibration frequencies of the shallow shells are presented for wide ranges of aspect ratio, thickness variation ratios, and shallowness ratio. These results, where possible, are verified by comparing with other established experimental and theoretical solutions. Few selected contour plots for the first known mode shapes of these cylindrical shells of variable thickness are included.

50 citations

Journal ArticleDOI
W.H. Liu1, C.-C. Huang1
TL;DR: In this paper, the finite element transfer matrix method was used to study the natural frequencies of folded plate structures, and the numerical results were compared with some existing data, and fairly good agreement was achieved.

50 citations