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Keywords: Jacobi polynomials
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Journal Articles

A Jacobi–Ritz Approach for Aeroelastic Analysis of Swept Distributed Propulsion Aircraft Wing

Josh Melvin, Wei Zhao
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. June 2024, 146(3): 031002.
Paper No: VIB-23-1187
https://doi.org/10.1115/1.4066309
Published Online: September 11, 2024
...Josh Melvin; Wei Zhao This article presents a Jacobi–Ritz approach for conducting flutter and divergence analysis of a complex distributed propulsion aircraft wing similar to that of NASA X-57. The general orthogonal Jacobi polynomials are used to approximate the bending displacement and torsional...
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Topics: Flutter (Aerodynamics), Polynomials, Wings, Propulsion, Displacement
Journal Articles

Vibration of Curvilinearly Stiffened Plates Using Ritz Method With Orthogonal Jacobi Polynomials

Berkan Alanbay, Karanpreet Singh, Rakesh K. Kapania
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. February 2020, 142(1): 011009.
Paper No: VIB-18-1568
https://doi.org/10.1115/1.4045098
Published Online: November 18, 2019
...Berkan Alanbay; Karanpreet Singh; Rakesh K. Kapania This paper presents a general approach for the free vibration analysis of curvilinearly stiffened rectangular and quadrilateral plates using the Ritz method by employing classical orthogonal Jacobi polynomials. Both the plate and stiffeners...
View Article titled, Vibration of Curvilinearly Stiffened Plates Using Ritz Method With Orthogonal <span class="search-highlight">Jacobi</span> <span class="search-highlight">Polynomials</span>
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Topics: Finite element methods, Finite element model, Plates (structures), Polynomials, Vibration, Boundary-value problems, Displacement, Weight (Mass)
Includes: Supplementary data