Transverse vibration and buckling analysis of rectangular plate under arbitrary in-plane loads

Huo, Ruili; Wang, Kun; G, Li; Zhu, Fan; Feng, Chun-Bo

doi:10.1007/s00707-023-03601-7

Cited by 1 publication

(2 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the Rayleigh-Ritz method, the key factor for the high performance of solutions is to choose an appropriate admissible displacement function. Various polynomials are used to represent the admissible displacement function (Chebyshev [25], Legendre [26], orthogonal [27], modified Fourier series [28], and Fourier-Bessel polynomials [29]). Huo et al [25] employed the Chebyshev polynomial and Fourier series to decompose the unified solution of the stress function to analyze the transverse vibration and buckling characteristics of the rectangular plate via the Ritz method.…”

Section: Introductionmentioning

confidence: 99%

“…Various polynomials are used to represent the admissible displacement function (Chebyshev [25], Legendre [26], orthogonal [27], modified Fourier series [28], and Fourier-Bessel polynomials [29]). Huo et al [25] employed the Chebyshev polynomial and Fourier series to decompose the unified solution of the stress function to analyze the transverse vibration and buckling characteristics of the rectangular plate via the Ritz method. Kumar [27] studied the free transverse vibration of functionally graded rectangular plates with porosity effects under simply supported conditions based on classical plate theory, using the boundary characteristic orthogonal polynomials.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Parametric Analysis of Free Vibration of Functionally Graded Porous Sandwich Rectangular Plates Resting on Elastic Foundation

Qin,

Mei,

Wang

2024

Materials

View full text Add to dashboard Cite

Based on the three-dimensional elasticity theory, the free vibration of functionally graded porous (FGP) sandwich rectangular plates is studied, and a unified solution for free vibration of the plates is proposed in this study. The arbitrary boundary conditions of FGP sandwich rectangular plates are simulated by using the Rayleigh–Ritz method combined with artificial spring theory. The calculation performances of the unified solution for FGP sandwich rectangular plates such as convergence speed and computational efficiency are compared extensively under different displacement functions. In addition, three kinds of elastic foundation (Winkler/Pasternak/Kerr foundations) and three porosity distributions are considered. Some benchmark results and accurate values for the free vibration of FGP sandwich rectangular plates resting on elastic foundations are given. Finally, the effects of diverse structural parameters, elastic foundations with different parameters, and boundary conditions on the free vibration of the FGP sandwich rectangular plates are analyzed.

show abstract