Free Vibration Analysis of Thin Circular Cylindrical Shell with Closure Using Finite Element Method

Rawat, Aruna; Matsagar, Vasant; Nagpal, A. K.

doi:10.1007/s13296-019-00277-5

Cited by 21 publications

(8 citation statements)

References 27 publications

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“…The finite element analysis has been used to analyze cylindrical objects. For example, Rawat et al 30 used the finite element method to perform a modal analysis on a closed thin-walled cylindrical shell, and the effect of the ratio of the end face thickness to the shell thickness on its natural frequency was studied.…”

Section: Resultsmentioning

confidence: 99%

Longitudinal axial flow rice thresher feeding rate monitoring based on force sensing resistors

Abdeen

Xie

Salem

et al. 2022

Sci Rep

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The threshing unit is the main working unit of the combine harvester and plays an essential role in rice threshing efficiency, seed loss, and damage. Every thresher has its limitation for feeding, and when the feeding quantity exceeds the maximum rated amount, the thresher gets blocked, resulting in higher losses, low threshing efficiency, more power consumption, and combine overloading shutting down. This study constructed a longitudinal axial flow rice threshing platform, and a stress monitoring system for the threshing drum top cover was designed using force sensing resistors. The sensors were installed on the thresher top cover inner surface to detect the impact and extrusion forces caused by the threshing process and detect the feeding rate when it exceeds the suitable feeding. Three feeding rates (0.8, 1.1, and 1.4 kg/s) and three thresher speeds (1100, 1300, and 1500 rpm) were tested. The time of the testing process was calculated using high-speed photography. The obtained results revealed that the force signals collected by thin-film sensors significantly correlated with thresher rotating speed and feeding rate. The thresher top cover’s average stress, average strain, and average total deformation were simulated using ANSYS finite element analysis. This study provides a new method for threshing drum real-time feeding quantity monitoring and early warning of thresher blockage.

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Section: Resultsmentioning

confidence: 99%

Longitudinal axial flow rice thresher feeding rate monitoring based on force sensing resistors

Abdeen

Xie

Salem

et al. 2022

Sci Rep

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show abstract

“…Li et al (2019) investigated the free vibration of the combined spherical–cylindrical–spherical shells with non-uniform thickness. Rawat et al (2020) analyzed the free vibration problem of a thin circular cylindrical shell with closure by using finite element method. Zhang et al (2021) studied the vibration characterizes of coupled conical-ribbed cylindrical–conical shell structure with general boundary condition by using dynamic stiffness method (DSM).…”

Section: Introductionmentioning

confidence: 99%

A semi-analytical method for free vibration of semi-closed shells of revolution with variable curvature

Lian

Sun

et al. 2022

Journal of Vibration and Control

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This study is concerned with the free vibration analysis of semi-closed shells of revolution with variable curvature, with a focus on the analytical solution to the natural frequency of such shells. A semi-closed shell of revolution with variable curvature is firstly divided into some narrow small shell segments, then the first small shell segment with a closed shell apex is approximated with a semi-closed conical shell, while the remaining small shell segments are approximated with a series of progressively larger truncated conical shells. Since each small conical shell is part of the large semi-closed shell of revolution with variable curvature and has to vibrate in sync with the large shell, the analytical solution to the axisymmetric free vibration of the large shell can be transformed into the analytical solutions to the synchronous free vibration of these small conical shells. The general solutions for the natural frequencies of all small conical shells are analytically derived under the condition that conical shells have zero meridional curvature. The undetermined constants in the general solutions are determined by letting all natural frequencies of these small conical shells be equal. Finally, the analytical solution for the axisymmetric free vibration of semi-closed shells of revolution with variable curvature is presented and is proved to be basically reliable by conducting a confirmatory experiment based on polymer 3D-printing technique.

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“…Practical numerical models and methods have been developed to solve all types of cylindrical shells. In particular, the finite element method (FEM) is widely used to perform free vibration analysis for complex structural members of thin circular cylindrical shells (Rawat et al , 2020). The conventional FEM is highly versatile and applicable to any structural configuration.…”

Section: Introductionmentioning

confidence: 99%

An hp-version adaptive finite element algorithm for eigensolutions of moderately thick circular cylindrical shells via error homogenisation and higher-order interpolation

Wang

2021

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PurposeThis study presents a novel hp-version adaptive finite element method (FEM) to investigate the high-precision eigensolutions of the free vibration of moderately thick circular cylindrical shells, involving the issues of variable geometrical factors, such as the thickness, circumferential wave number, radius and length.Design/methodology/approachAn hp-version adaptive finite element (FE) algorithm is proposed for determining the eigensolutions of the free vibration of moderately thick circular cylindrical shells via error homogenisation and higher-order interpolation. This algorithm first develops the established h-version mesh refinement method for detecting the non-uniform distributed optimised meshes, where the error estimation and element subdivision approaches based on the superconvergent patch recovery displacement method are introduced to obtain high-precision solutions. The errors in the vibration mode solutions in the global space domain are homogenised and approximately the same. Subsequently, on the refined meshes, the algorithm uses higher-order shape functions for the interpolation of trial displacement functions to reduce the errors quickly, until the solution meets a pre-specified error tolerance condition. In this algorithm, the non-uniform mesh generation and higher-order interpolation of shape functions are suitable for addressing the problem of complex frequencies and modes caused by variable structural geometries.FindingsNumerical results are presented for moderately thick circular cylindrical shells with different geometrical factors (circumferential wave number, thickness-to-radius ratio, thickness-to-length ratio) to demonstrate the effectiveness, accuracy and reliability of the proposed method. The hp-version refinement uses fewer optimised meshes than h-version mesh refinement, and only one-step interpolation of the higher-order shape function yields the eigensolutions satisfying the accuracy requirement.Originality/valueThe proposed combination of methodologies provides a complete hp-version adaptive FEM for analysing the free vibration of moderately thick circular cylindrical shells. This algorithm can be extended to general eigenproblems and geometric forms of structures to solve for the frequency and mode quickly and efficiently.

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Free Vibration Analysis of Thin Circular Cylindrical Shell with Closure Using Finite Element Method

Cited by 21 publications

References 27 publications

Longitudinal axial flow rice thresher feeding rate monitoring based on force sensing resistors

Longitudinal axial flow rice thresher feeding rate monitoring based on force sensing resistors

A semi-analytical method for free vibration of semi-closed shells of revolution with variable curvature

An hp-version adaptive finite element algorithm for eigensolutions of moderately thick circular cylindrical shells via error homogenisation and higher-order interpolation

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