Natural Vibration of Square Plate with Circular Variation in Thickness

Sharma, Amit; Kumar, Pravesh

doi:10.1007/978-981-13-0589-4_29

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…Khanna [6] used the Rayleigh Ritz method to study frequency modes of a viscoelastic isotropic rectangular plate, considering the impact of thermal gradient. The natural vibration of non-homogeneous tapered parallelogram plates with temperature variation was examined in [8]. Vibrational frequencies in a non-uniformly thick parallelogram plate were mathematically analyzed, considering linear temperature effects by authors in [9].…”

Section: Introductionmentioning

confidence: 99%

Analyzing vibration modes in non-homogeneous parallelogram plates

Sapna,

Sharma

2023

Vib. proced.

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This study analyzes vibration modes in non-homogeneous orthotropic parallelogram plate with a one-dimensional circular thickness, focusing on SCCC edge condition, where C and S represent the clamped and simply supported edges of the plate, respectively. Circular Poisson’s ratio variation is considered, along with linear temperature changes. The study demonstrates the advantages of variable Poisson’s ratio over density parameter variation in obtaining shorter vibration time periods. Orthotropic parallelogram plate, thermal gradient, circular tapering, nonhomogeneity.

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Section: Introductionmentioning

confidence: 99%

Analyzing vibration modes in non-homogeneous parallelogram plates

Sapna,

Sharma

2023

Vib. proced.

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“…Free vibrational analysis of non-homogeneous parallelogram plate [16] with two dimensional circular variations in thickness along with temperature is studied using classical plate theory (CPT). Vibrational analysis of tapered square plate [17] with linear variation in density and bi linear variation in temperature is described using Rayleigh Ritz technique. Effect of plate parameters on time period of rectangular plate is studied in [18] using Rayleigh Ritz technique.…”

Section: Introductionmentioning

confidence: 99%

Modelling on vibration of skew plate with thickness and temperature variation

Bhardwaj¹,

Mani²

2019

Vib. proced.

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The present model describes the vibrational analysis of skew (parallelogram) plate made up of non-homogeneous material with variable thickness and temperature on clamped edges. One dimensional thickness and two-dimensional temperature variation is taken into consideration. The non-homogeneity of the plate varies circular in one dimension. The governing differential equation of motion for vibration analysis is solved by using Rayleigh Ritz technique and time period is calculated for the combination of different variation of plate parameters. The obtained results are presented in tabular form.

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