A solution method for free vibration of intact and cracked polygonal thin plates using the Ritz method and Jacobi polynomials
Published 2021 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
A solution method for free vibration of intact and cracked polygonal thin plates using the Ritz method and Jacobi polynomials
Authors
Keywords
Polygonal plate, Cracked polygonal plate, Kirchhoff theory, Jacobi polynomials, Ritz method, Free vibration
Journal
JOURNAL OF SOUND AND VIBRATION
Volume 519, Issue -, Pages 116578
Publisher
Elsevier BV
Online
2021-10-25
DOI
10.1016/j.jsv.2021.116578
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- A unified semi-analytical method for free in-plane and out-of-plane vibrations of arbitrarily shaped plates with clamped edges
- (2020) Yunbo Yuan et al. JOURNAL OF SOUND AND VIBRATION
- Free Vibration Analysis of Moderately Thick Coupled Plates with Elastic Boundary Conditions and Point Supports
- (2019) Qiuhong Li et al. International Journal of Structural Stability and Dynamics
- Vibration Characteristics Analysis of Moderately Thick Laminated Composite Plates with Arbitrary Boundary Conditions
- (2019) Zechang Xue et al. Materials
- Natural frequency veering and mode localization caused by straight through–cracks in rectangular plates with elastic boundary conditions
- (2018) Tianming Huang et al. ACTA MECHANICA
- A modeling method for vibration analysis of cracked laminated composite beam of uniform rectangular cross-section with arbitrary boundary condition
- (2018) Kwanghun Kim et al. COMPOSITE STRUCTURES
- Fourier series solutions for vibrations of a rectangular plate with a straight through crack
- (2016) C.S. Huang et al. APPLIED MATHEMATICAL MODELLING
- Energy dissipation caused by fatigue crack in beam-like cracked structures
- (2016) Arash Khassetarash et al. JOURNAL OF SOUND AND VIBRATION
- Vibration of arbitrarily-shaped triangular plates with elastically restrained edges
- (2015) X.F. Zhang et al. JOURNAL OF SOUND AND VIBRATION
- Free vibration analysis of cracked thin plates by quasi-convex coupled isogeometric-meshfree method
- (2015) Hanjie Zhang et al. Frontiers of Structural and Civil Engineering
- VIBRATION ANALYSES OF CRACKED PLATES BY THE RITZ METHOD WITH MOVING LEAST-SQUARES INTERPOLATION FUNCTIONS
- (2013) C. S. HUANG et al. International Journal of Structural Stability and Dynamics
- Vibrations of rectangular plates with internal cracks or slits
- (2011) C.S. Huang et al. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
- Optimal Penalty Parameters for Symmetric Discontinuous Galerkin Discretisations of the Time-Harmonic Maxwell Equations
- (2010) D. Sármány et al. JOURNAL OF SCIENTIFIC COMPUTING
- Free vibration analysis of arbitrarily shaped polygonal plates with simply supported edges using a sub-domain method
- (2009) Sang Wook Kang et al. JOURNAL OF SOUND AND VIBRATION
- Vibration analysis of rectangular plates with side cracks via the Ritz method
- (2009) C.S. Huang et al. JOURNAL OF SOUND AND VIBRATION
- A piecewise linear finite element method for the buckling and the vibration problems of thin plates
- (2009) David Mora et al. MATHEMATICS OF COMPUTATION
- Vibration analysis of cracked plates using the extended finite element method
- (2008) M. Bachene et al. ARCHIVE OF APPLIED MECHANICS
- An exact series solution for the transverse vibration of rectangular plates with general elastic boundary supports
- (2008) W.L. Li et al. JOURNAL OF SOUND AND VIBRATION
Find Funding. Review Successful Grants.
Explore over 25,000 new funding opportunities and over 6,000,000 successful grants.
ExploreBecome a Peeref-certified reviewer
The Peeref Institute provides free reviewer training that teaches the core competencies of the academic peer review process.
Get Started