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- W2317808411 abstract "The natural frequencies of three-dimensional curved cantilevered parallelepipeds are evaluated herein by application of Ritz's first method. Specifically, a generalized geometric transformation is employed which enables solution for solids having geometric skew about both inplane axes and a helicoidal rotation, or twist, about the longitudinal axis; in order to fully capture the dynamic response characteristics of many important cantilevered engineering structures, most notably turbomachinery blades, it is essential to include twist and skew about both inplane axes. Orthogonal trigonometric functions, rather than previously used nonorthogonal algebraic polynomials, are employed as continuum displacement functions. Model cantilevered structures are then studied to determine the effects of varying skew and twist angles on their frequencies. Results of numerical studies are compared with three-dimensional finite element analysis and with data found in the literature for verification of the method." @default.
- W2317808411 created "2016-06-24" @default.
- W2317808411 creator A5059081569 @default.
- W2317808411 date "1996-04-15" @default.
- W2317808411 modified "2023-09-27" @default.
- W2317808411 title "A Ritz solution for cantilevered, doubly skewed, helicoidal parallelepipeds using orthogonal displacement functions" @default.
- W2317808411 cites W2010887393 @default.
- W2317808411 doi "https://doi.org/10.2514/6.1996-1591" @default.
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