Analysis of free vibration of non-homogenous trapezoidal plate with 2D varying thickness and thermal effect

Sharma, Ashish Kumar; Sharma, Amit; Raghav, Ashok Kumar; Kumar, Vijay

doi:10.21595/jme.2016.16378

Cited by 5 publications

(4 citation statements)

References 12 publications

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“…20,21 They prepared parametric examinations to inspect the effects of thickness variation parameters, non-homogeneity parameters, and thermal loads on the natural frequencies. Sharma et al 22 analyzed the free vibration of a non-homogeneous trapezoidal plate whose thickness changes linearly in both directions. They studied the relationships between the natural frequencies and several parameters such as non-homogeneity parameters and aspect ratio.…”

Section: Introductionmentioning

confidence: 99%

Effects of non-uniformity in thickness and volume fraction of nanofillers on the flutter characteristics of nanocomposite cantilever trapezoidal plates

Torabi,

Afshari,

Haji Aboutalebi

2024

Proceedings of the Institution of Mechanical Engineers, Part G:

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The aim of this work is to investigate the flutter characteristics of nanocomposite cantilever trapezoidal plates with non-uniform thickness enriched with either carbon nanotubes (CNTs), graphene nanoplatelets (GNPs), or graphene oxide powders (GOPs) which are distributed functionally graded (FG) in the axial direction. It is assumed that the thickness of the plate and the volume fraction of the nanofillers vary in one direction from the wider clamped edge of the plate to the outer narrower free one. The modeling of the plate is done using the first-order shear deformation theory (FSDT) and the aerodynamic pressure generated by the aerodynamic pressure is modeled using the linear approximation of the piston theory. The material properties of the plate are calculated using the mixing rule (ROM) and the Halpin–Tsai model. The governing equations and boundary conditions at the clamped and free edges of the plate are derived via Hamilton’s principle. An approximate solution is applied using the differential quadrature method (DQM) to calculate the natural frequencies and the damping ratios of the plate. Numerical examples show that it is possible to find an optimal thickness variation profile that provides the greatest aeroelastic stability. It is concluded that by considering the same value for the mass fractions of the nanofillers, the highest aeroelastic stability can be attained by utilizing the GNPs as the reinforcers. It is found that to attain further improvement in aeroelastic stability, most nanofillers should be distributed near the clamped edge and away from the outer free edge.

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Section: Introductionmentioning

confidence: 99%

Effects of non-uniformity in thickness and volume fraction of nanofillers on the flutter characteristics of nanocomposite cantilever trapezoidal plates

Torabi,

Afshari,

Haji Aboutalebi

2024

Proceedings of the Institution of Mechanical Engineers, Part G:

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“…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]. The influence of thermal effects on non-homogeneous parallelogram plates with two-dimensional circular variations in thickness was explored in a study referenced as [10].…”

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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“…Gong and Li [9] further proposed a dynamic calibration method for preloaded water shock tubes. This method uses the basis of the Quasi 𝛿 pulse calibration theory [10,12] to analyze the dynamic characteristics of pressure sensor, and processed shock wave signals in the water shock tube as 𝛿 signal, instead of applying the standard pressure sensor, to consider the signal measured by calibrated pressure sensor as impulse response and directly calculate dynamic characteristics of calibrated sensor, hence resulting in large error. Therefore, it is necessary to study a more accurate experimental method for the dynamic characteristics of underwater shock wave pressure sensor.…”

Section: Introductionmentioning

confidence: 99%

Experimental research on the dynamic characteristics of underwater shock wave pressure sensor

Wang¹,

Xu²

2021

Vib. proced.

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With respect to the calibration of dynamic pressure measurement system under specific underwater explosion application environment, this paper has proposed an experimental calculation method for the dynamic characteristics of underwater shock water pressure sensor based on a preloaded water shock tube. This was done by analyzing the dynamic calibration principles of the preloaded water shock tube and studying the dynamic influencing factors pertaining to the sensor. Moreover, a dynamic calibration experiment for the sensor was also designed based on a comparative calibration method, through which a calculation method for the dynamic characteristics of underwater shock wave pressure sensor was acquired. The experimental results have proven that applying preloaded water shock tube can effectively acquire the dynamic characteristics of the pressure sensor, thereby providing a research framework for the dynamic calibration of underwater explosion shock wave pressure sensor.

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Analysis of free vibration of non-homogenous trapezoidal plate with 2D varying thickness and thermal effect

Cited by 5 publications

References 12 publications

Effects of non-uniformity in thickness and volume fraction of nanofillers on the flutter characteristics of nanocomposite cantilever trapezoidal plates

Effects of non-uniformity in thickness and volume fraction of nanofillers on the flutter characteristics of nanocomposite cantilever trapezoidal plates

Analyzing vibration modes in non-homogeneous parallelogram plates

Experimental research on the dynamic characteristics of underwater shock wave pressure sensor

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