Free vibration analysis of thin functionally graded rectangular plates using the dynamic stiffness method

Kumar, Subodh; Ranjan, Vinayak; Jana, Prasun

doi:10.1016/j.compstruct.2018.04.085

Cited by 59 publications

(23 citation statements)

References 36 publications

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“…Tables 1-4 shows that the first six non-dimensional natural frequencies values for the circular annular plate. These present results are nearly the same as Leissa [1] and Zhou [8] under different VIBROENGINEERING PROCEDIA. NOVEMBER 2019, VOLUME 29 boundary conditions.…”

Section: Resultssupporting

confidence: 89%

“…Table 1. Comparison of the non-dimensional natural frequency parameter with Leissa [1] and Zhou [8] for clamped outer and free inner boundary ( = 1/3, / = 0.4)…”

Section: Resultsmentioning

confidence: 99%

“…Zhou et al [7] used the Hamiltonian principle to solve governing equations for free vibration analysis by using the variational principle of mixed energy method. Kumar et al [8] use a dynamic stiffness method to extract the natural frequency and mode shapes of a thin plate. Piyush et al [9] used the Rayleigh-Ritz method to compute the natural frequencies of the thin plate.…”

Section: Introductionmentioning

confidence: 99%

“…Comparison of the non-dimensional natural frequency parameter with Leissa[1] and Zhou[8] for free outer and free inner boundary ( = 1/3, / = 0.4) Comparison of the non-dimensional natural frequency parameter with Leissa[1] and Zhou[8] for clamped outer and clamped inner boundary ( = 1/3, / = 0.4) 63.1121 66.7350 73.6148 84.5044 99.7988 FREE VIBRATION OF CIRCULAR ANNULAR PLATE WITH DIFFERENT BOUNDARY CONDITIONS. YASH JAIMAN, BAIJ SINGH…”

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confidence: 99%

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Free vibration of circular annular plate with different boundary conditions

Jaiman¹,

Singh²

2019

Vib. proced.

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This paper deals with the numerical simulation of free vibration analysis of a thin circular annular plate for various boundary conditions at the outer edge and inner edge. Classical plate theory is used to derive the governing differential equation for the transverse deflection of the thin isotropic plate. The finite element method is used to evaluate the first six natural frequencies and mode shapes of the thin uniform circular annular plate with radius ratios / for different boundary conditions. These natural frequencies results are compared with those available in the literature. The results are verified with classical plate theory with our Abaqus results and checked with the previous research literature on the topic.

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Section: Resultssupporting

confidence: 89%

“…Table 1. Comparison of the non-dimensional natural frequency parameter with Leissa [1] and Zhou [8] for clamped outer and free inner boundary ( = 1/3, / = 0.4)…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Free vibration of circular annular plate with different boundary conditions

Jaiman¹,

Singh²

2019

Vib. proced.

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“…Baferani et al [8] used Navier and Levy type solution for the free vibration analysis of functionally graded plate under different boundary conditions by using CPT. Kumar et al [9] used CPT to formulate the DSM with Wittrick-Williams algorithm to extarct the eigen value of the FGM plates.…”

Section: Introductionmentioning

confidence: 99%

Dynamic stiffness method for free vibration analysis of thin functionally graded rectangular plates

Chauhan¹,

Ranjan²,

Sathujoda³

2019

Vib. proced.

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In this present work, the dynamic stiffness method (DSM) is used to analyze the free vibration of a thin functionally graded rectangular plate. Classical plate theory (CPT) is used to develop the dynamic stiffness matrix of a functionally graded material (FGM) plate. For free vibration analysis, the natural frequencies of the functionally graded material plate are estimated by using DSM with Wittrick-Williams algorithm for different aspect ratios and different boundary conditions. The present research compared the DSM natural frequencies results with those available in the published literature.

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Dynamic Stiffness Method for Free Vibration Analysis of Stepped Plate Using the First-Order Shear Deformation Theory

Kumar

Jana

2022

Lecture Notes in Mechanical Engineering

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Free vibration analysis of thin functionally graded rectangular plates using the dynamic stiffness method

Cited by 59 publications

References 36 publications

Free vibration of circular annular plate with different boundary conditions

Free vibration of circular annular plate with different boundary conditions

Dynamic stiffness method for free vibration analysis of thin functionally graded rectangular plates

Dynamic Stiffness Method for Free Vibration Analysis of Stepped Plate Using the First-Order Shear Deformation Theory

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