• 제목/요약/키워드: cylindrical shell theory

검색결과 186건 처리시간 0.022초

Finite element vibration analysis of nanoshell based on new cylindrical shell element

  • Soleimani, Iman;Beni, Yaghoub T.;Dehkordi, Mohsen B.
    • Structural Engineering and Mechanics
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    • 제65권1호
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    • pp.33-41
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    • 2018
  • In this paper, using modified couple stress theory in place of classical continuum theory, and using shell model in place of beam model, vibrational behavior of nanotubes is investigated via the finite element method. Accordingly classical continuum theory is unable to correctly compute stiffness and account for size effects in micro/nanostructures, higher order continuum theories such as modified couple stress theory have taken on great appeal. In the present work the mass-stiffness matrix for cylindrical shell element is developed, and by means of size-dependent finite element formulation is extended to more precisely account for nanotube vibration. In addition to modified couple stress cylindrical shell element, the classical cylindrical shell element can also be defined by setting length scale parameter to zero in the equations. The boundary condition were assumed simply supported at both ends and it is shown that the natural frequency of nano-scale shell using the modified coupled stress theory is larger than that using the classical shell theory and the results of Ansys. The results have indicated using the modified couple stress cylindrical shell element, the rigidity of the nano-shell is greater than that in the classical continuum theory, which results in increase in natural frequencies. Besides, in addition to reducing the number of elements required, the use of this type of element also increases convergence speed and accuracy.

Vibration of sumberged functionally graded cylindrical shell based on first order shear deformation theory using wave propagation method

  • Farahani, Hossein;Barati, Farzan
    • Structural Engineering and Mechanics
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    • 제53권3호
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    • pp.575-587
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    • 2015
  • This paper focuses on vibration analysis of functionally graded cylindrical shell submerged in an incompressible fluid. The equation is established considering axial and lateral hydrostatic pressure based on first order shear deformation theory of shell motion using the wave propagation approach and classic Fl$\ddot{u}$gge shell equations. To study accuracy of the present analysis, a comparison carried out with a known data and the finite element package ABAQUS. With this method the effects of shell parameters, m, n, h/R, L/R, different boundary conditions and different power-law exponent of material of functionally graded cylindrical shells, on the frequencies are investigated. The results obtained from the present approach show good agreement with published results.

Bending analysis of composite skew cylindrical shell panel

  • Haldar, Salil;Majumder, Aditi;Kalita, Kanak
    • Structural Engineering and Mechanics
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    • 제70권1호
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    • pp.125-131
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    • 2019
  • A nine node isoparametric plate bending element is used for bending analysis of laminated composite skew cylindrical shell panels. Both thick and thin shell panels are solved. Rotary inertia and shear deformation are incorporated by considering first order shear deformation theory. The analysis is performed considering shallow shell theory. Both shallow and moderately deep skew cylindrical shells are investigated. Skew cylindrical shell panels having different thickness ratios (h/a), radius to length ratios (R/a), ply angle orientations, number of layers, aspect ratio (b/a), boundary conditions and various loading (concentrated, uniformly distributed, linear varying and doubly sinusoidal varying) conditions are analysed. Various new results are presented.

원통쉘 연구의 현황과 전망 (Review on the Cylindrical Shell Research)

  • 이영신
    • 대한기계학회논문집A
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    • 제33권1호
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    • pp.1-26
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    • 2009
  • Cylindrical shells of isotropic and composite laminated materials are being used many engineering applications. This paper reviews the literature focusing on various aspects of shell research. The aspects of research receiving interest here are the cylindrical theory being used, the stress, buckling analysis and the impact analysis. The vibration analyses and stiffening characteristics of the cylindrical shell are investigated. The design optimizations of the cylindrical shell are reviewed. The studies on the conical and spherical shell are also reviewed. This review aticles contain 236 referencees.

Prediction of the critical buckling load of SWCNT reinforced concrete cylindrical shell embedded in an elastic foundation

  • Timesli, Abdelaziz
    • Computers and Concrete
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    • 제26권1호
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    • pp.53-62
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    • 2020
  • Concrete is the most widely used substance in construction industry, so it's been required to improve its quality using new technologies. Nowadays, nanotechnology offers new frontiers for improving construction materials. In this paper, we study the stability analysis of the Single Walled Carbon Nanotubes (SWCNT) reinforced concrete cylindrical shell embedded in elastic foundation using the Donnell cylindrical shell theory. In this regard, we propose a new explicit analytical formula of the critical buckling load which takes into account the distribution of SWCNT reinforcement through the thickness of the concrete shell using the U, X, O and V forms and the elastic foundation using Winkler and Pasternak models. The rule of mixture is used to calculate the effective properties of the reinforced concrete cylindrical shell. The influence of diverse parameters on the stability behavior of the reinforced concrete shell is also discussed.

ER 마운트 제어에 의한 원통쉘의 진동소음 해석 (Noise and Vibration Analysis of a cylindrical shell by controlling ER mount)

  • 정우진;정의봉;서영수;조현동
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문집
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    • pp.459-463
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    • 2002
  • ER mount can be used instead of rubber mount in cylindrical shell to improve the vibration and noise performance. The noise radiated by cylindrical shell will be reduced by reducing the force transmitted to the cylindrical shell through ER mount. In this paper LQ control theory is used to reduce the transmitted force to the cylindrical shell. The finite element method of cylindrical shell is formulated by NASTRAN and its vibrating shape is calculated in frequency domain. The noise radiated from the cylindrical shell is calculated by the use of SYSNOISE, the boundary element CAE tool. The vibration of the cylindrical shell and radiated acoustic pressure is compared in case of both controlled and uncontrolled ER mount.

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원통셸의 엄밀이론에 관한 고찰 (Study On the Exact Theory of Cylindrical Shells)

  • 김천욱;이영신
    • 대한기계학회논문집
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    • 제2권2호
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    • pp.31-37
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    • 1978
  • In order to specify the accuracy of the cylindrical shell theories, several cylindrical shell equations are studied. Cheng's equation is used as the exact theory for circular cylindrical shells. An error factor is defined and used for the measure of the accuracy in various cylindrical shell theories. The line load applied along generators of a thin-walled circular cylidrical shell of finite length is investigated as a numerical example. These numerical results show that Cheng's equation is used for the fundamental cylindrical shell equation and the difficulties in cumputation by a digital computer are same as the simplified equations, such as Donnell's Morley's, and Vlasov's equations.

Free vibration of Cooper-Naghdi micro saturated porous sandwich cylindrical shells with reinforced CNT face sheets under magneto-hydro-thermo-mechanical loadings

  • Yazdani, Raziye;Mohammadimehr, Mehdi;Navi, Borhan Rousta
    • Structural Engineering and Mechanics
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    • 제70권3호
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    • pp.351-365
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    • 2019
  • In this paper, free vibration of Cooper-Naghdi micro sandwich cylindrical shell with saturated porous core and reinforced carbon nanotube (CNT) piezoelectric composite face sheets is investigated by using first order shear deformation theory (FSDT) and modified couple stress theory (MCST). The sandwich shell is subjected to magneto-thermo-mechanical loadings with temperature dependent material properties. Energy method and Hamilton's principle are used for deriving of the motion equations. The equations are solved by Navier's method. The results are compared with the obtained results by the other literatures. The effects of various parameters such as saturated porous distribution, geometry parameters, volume fraction and temperature change on the natural frequency of the micro-sandwich cylindrical shell are addressed. The obtained results reveal that the natural frequency of the micro sandwich cylindrical shell increases with increasing of the radius to thickness ratio, Skempton coefficient, the porosity of the core, and decreasing of the length to radius ratio and temperature change.

선하중을 받는 직교이방성 원통셀의 Novozhilov셀 이론에 의한 응력해석 (Stress analysis for the orthotropic cylindrical shells subjected to line load based on Novozhilov's shell theory)

  • 이영신;최병두
    • 대한기계학회논문집
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    • 제11권5호
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    • pp.789-799
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    • 1987
  • 본 연구에서는 기존연구에 비하여 해의 형태가 간단한 폐형태로 주어지는 엄 밀한 해를 구하기 위해, 직교이방성원통셸의 지배방정식을 Novozhilov 형복소미분방정 식으로 유도하였다. 수치예로서 모선전체 및 부분적으로 작용하는 선하중하에 원통 셸의 변립 및 응력상태를 해석하여 기존의 연구와 비교하였으며, 직교이방특성과 셸기 하학적 매개변수에 따르는 영향을 고찰하였다.

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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    • 제14권5호
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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.