• Title/Summary/Keyword: Cylindrical Mode Theory

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Structural stability of laminated composite material for the effectiveness of half axial wave mode: Frequency impact

  • Muzamal, Hussain
    • Advances in concrete construction
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    • v.14 no.5
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    • pp.309-315
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    • 2022
  • This paper depicts the diagram of cylindrical shells as an essential idea. It centers around an outline of exploration and use of cylindrical shell in expansive current circumstance. In view of investigation of the current and prospect of model as a piece of present exploration work, a straightforward contextual analysis is examined with Love's shell theory based on Galerkin's method. The cylindrical shells are attached from one end of the cylindrical shells. The frequencies of ring support shells are investigated against the half axial wave mode. The frequencies increase on increasing the half axial wave mode. Also, the frequencies are downsized with ring supports. The software MATLAB is preferred to others because in this software computing coding is very easy to do. Just single command 'eig' furnishes shell frequencies and mode shapes by calculating eigenvalues and eigenvectors respectively. The shell vibration frequencies for cylindrical shells are compared with those results found in the open literature.

Vibration Analysis of Ring Stiffened Cylindrical Shells with a Rectangular Cutout (사각개구부를 갖는 링보강 원통셸의 진동해석)

  • Kim, Yeong-Wan;Lee, Yeong-Sin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.11 s.170
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    • pp.2040-2049
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    • 1999
  • The Rayleigh-Ritz method is used to investigate the natural frequencies and mode shapes of the ring stiffened cylindrical shells with a rectangular cutout. The cutout is located on the center of the shell. The Love's thin shell theory combined with the discrete stiffener theory is adopted to formulate the analytical model of the shell. The effect of stiffener eccentricity, number, and position on vibration characteristics of the shell is examined. Also the effect of cutout size is examined. By comparison with previously published analytical and new FEM results, it is shown that natural frequencies and mode shapes can be determined with adequate accuracy.

Evaluation of Analytical Vibration Characteristics for Triple Cylindrical Shells Filled with Fluid (유체로 채워진 삼중 원통셸의 해석적 진동 특성 평가)

  • 지용관;이영신
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.2
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    • pp.150-160
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    • 2002
  • The free vibration characteristics of the triple cylindrical shells filled with fluid are investigated. The triple cylindrical shells are filled with compressible fluid. The boundary condition is clamped at both ends. Analytical method is developed to evaluate natural frequencies of triple cylindrical shells using Sanders' shell theory and courier series expansion by Stokes' transformation. Their results are compared with those of finite element method to verify the validation of the method developed. The modal characteristics of shells filled with fluid at region 1, 2 and 3 are evaluated.

Compensation of Equivalent Circuit Model of TE011 Mode Cylindrical Cavity Filter

  • Ryu, Nam-Young;Lee, Jeong-Hae
    • Journal of electromagnetic engineering and science
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    • v.2 no.2
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    • pp.100-104
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    • 2002
  • A proper equivalent circuit model for coupling iris has been derived in order to compensate the length of cavity in a $TE_{011}$TEX> mode cylindrical cavity filter. A method to resolve the difference in bandwidth and feature or ripple systematically has been proposed. This method can be applied to other types of waveguide cavity filter.

Free Vibration Analysis of the Cantilevered Circular Cylindrical Shells Combined with Circular Plates at Axial Positions (원판이 결합된 외팔 원통셸의 고유진동 특성)

  • 임정식;이영신;손동성
    • Journal of KSNVE
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    • v.7 no.2
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    • pp.331-345
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    • 1997
  • A theoretical formulation for the analysis of free vibration of clamped-free cylindrical shells with plates attached at arbitrary axial position(s) was completed and it was programed to get the numerical results which yield natural frequencies and mode shape of the combined system of the plate and the shells. The frequencies and mode shapes from theoretical calculation were compared with those of commercial finite element code, ANSYS. In order to validate the theory, modal test was also performed by impact test and FFT analysis. The results shows good agreement with those of ANSYS and test results in frequencies and mode shapes. The method developed herein is likely to be used for the analysis of the free vibration of the clamped-free circular cylindrical shells with any kinds of lids such as hollow circular plates, conical shells, spherical shells, or semi-spherical shells.

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Non-axisymmetric dynamic response of buried orthotropic cylindrical shells under moving load

  • Singh, V.P.;Dwivedi, J.P.;Upadhyay, P.C.
    • Structural Engineering and Mechanics
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    • v.8 no.1
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    • pp.39-51
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    • 1999
  • The dynamic response of buried pipelines has gained considerable importance because these pipelines perform vital role in conducting energy, water, communication and transportation. After realizing the magnitude of damage, and hence, the human uncomfort and the economical losses, researchers have paid sincere attention to this problem. A number of papers have appeared in the past which discuss the different aspects of the problem. This paper presents a theoretical analysis of non-axisymmetric dynamic response of buried orthotropic cylindrical shell subjected to a moving load along the axis of the shell. The orthotropic shell has been buried in a homogeneous, isotropic and elastic medium of infinite extent. A thick shell theory including the effects of rotary inertia and shear deformation has been used. A perfect bond between the shell and the surrounding medium has been assumed. Results have been obtained for very hard (rocky), medium hard and soft soil surrounding the shell. The effects of shell orthotropy have been brought out by varying the non-dimensional orthotropic parameters over a long range. Under these conditions the shell response is studied in axisymmetric mode as well as in the flexural mode. It is observed that the shell response is significantly affected by change in orthotropic parameters and also due to change of response mode. It is observed that axial deformation is large in axisymmetric mode as compared to that in flexural mode.

Effect of different viscoelastic models on free vibrations of thick cylindrical shells through FSDT under various boundary conditions

  • Daemi, Hossein;Eipakchi, Hamidreza
    • Structural Engineering and Mechanics
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    • v.73 no.3
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    • pp.319-330
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    • 2020
  • This paper investigates the free vibrations of cylindrical shells made of time-dependent materials for different viscoelastic models under various boundary conditions. During the extraction of equations, the displacement field is estimated through the first-order shear deformation theory taking into account the transverse normal strain effect. The constitutive equations follow Hooke's Law, and the kinematic relations are linear. The assumption of axisymmetric is included in the problem. The governing equations of thick viscoelastic cylindrical shell are determined for Maxwell, Kelvin-Voigt and the first and second types of Zener's models based on Hamilton's principle. The motion equations involve four coupled partial differential equations and an analytical method based on the elementary theory of differential equations is used for its solution. Relying on the results, the natural frequencies and mode shapes of viscoelastic shells are identified. Conducting a parametric study, we examine the effects of geometric and mechanical properties and boundary conditions, as well as the effect of transverse normal strain on natural frequencies. The results in this paper are compared against the results obtained from the finite elements analysis. The results suggest that solutions achieved from the two methods are ideally consistent in a special range.

A Hybrid Resonant Mode Identification using Non-decaying Mode Analysis in Dielectric Loaded Cylindrical Cavity Resonators (비소멸 모드 해석을 이용한 유전체 삽입 원통형 공동 공진기 하이브리드 공진 모드 구분)

  • Lee, Won-Hui;Hur, Jung
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.14 no.6
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    • pp.655-662
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    • 2003
  • A rigorous field analysis by the non-decaying mode and the contour graph method is presented for dielectric-rod loaded cylindrical cavity resonators. Resonant frequencies and the lowest order modes for this resonator are calculated. The mode charts are presented to design the resonators. TE mode(transverse electric or H mode, having no Ez), TM mode(transverse magnetic or I mode, having no ㎐) and HEM mode(hybrid electromagnetic mode, having non-zero Ez and ㎐) are analyzed in detail using non-decaying mode method. The mode charts are completed. The validity of the theory is confirmed by experiments. The results were on the whole satisfactory. Experimental measurements show excellent agrement with the numerical results. The average error of TE, TM, and HEM mode is about 0.20 %, 0.14 %, and 0.28 %, respectively.

Study on Structural Vibration Analysis and Design Optimization of Rotating Composite Cylindrical Shells with Cutout (회전운동을 고려한 Cutout이 있는 복합재료 원통셸의 구조진동해석 및 최적설계)

  • 이영신;김영완
    • Journal of KSNVE
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    • v.8 no.3
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    • pp.467-476
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    • 1998
  • The free vibration analysis and design optimization of the rotating composite cylindrical shells with a rectangular cutout are investigated by theoretical method. The Love's thin shell theory is used to derive the frequency equation. The theoretical results are obtained by application of the energy method employing the Rayleigh-Ritz procedure. The used circumferential vibration modes are trigonometric functions, the axial modes are the beam modal functions chosen to satisfy the prescribed boundary conditions. To check the validity, the theoretical results are compared with experimental, FEM and other theoretical results.

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Vibration of mitred and smooth pipe bends and their components

  • Redekop, D.;Chang, D.
    • Structural Engineering and Mechanics
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    • v.33 no.6
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    • pp.747-763
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    • 2009
  • In this work, the linear vibration characteristics of $90^{\circ}$ pipe bends and their cylindrical and toroidal shell components are studied. The finite element method, based on shear-deformation shell elements, is used to carry out a vibration analysis of metallic multiple $90^{\circ}$ mitred pipe bends. Single, double, and triple mitred bends are considered, as well as a smooth bend. Sample natural frequencies and mode shapes are given. To validate the procedure, comparison of the natural frequencies is made with existing results for cylindrical and toroidal shells. The influence of the multiplicity of the bend, the boundary conditions, and the various geometric parameters on the natural frequency is described. The differential quadrature method, based on classical shell theory, is used to study the vibration of components of these bends. Regression formulas are derived for cylindrical shells (straight pipes) with one or two oblique edges, and for sectorial toroidal shells (curved pipes, pipe elbows). Two types of support are considered for each case. The results given provide information about the vibration characteristics of pipe bends over a wide range of the geometric parameters.