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Keywords: Ritz method
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Journal Articles
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
Published Online: September 11, 2024
... rotation angle in the Ritz method-based structural and aeroelastic analysis. The Jacobi polynomials satisfy the orthogonality condition using weight functions, which are easily modified to satisfy different essential and natural boundary conditions. Compared to simple polynomials, Jacobi polynomials can...
Journal Articles
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
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...
Topics:
Finite element methods,
Finite element model,
Plates (structures),
Polynomials,
Vibration,
Boundary-value problems,
Displacement,
Weight (Mass)
Includes: Supplementary data
Journal Articles
Journal:
Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research-Article
J. Vib. Acoust. June 2015, 137(3): 031006.
Paper No: VIB-13-1337
Published Online: June 1, 2015
...; published online January 27, 2015. Assoc. Editor: Marco Amabili. 30 09 2013 02 12 2014 27 01 2015 The free vibration of curvilinearly stiffened shallow shells is investigated by the Ritz method. Based on the first-order shear deformation shell theory and three-dimensional (3D...
