• 제목/요약/키워드: Orthotropic theory

검색결과 190건 처리시간 0.018초

Vibration response of smart concrete plate based on numerical methods

  • Taherifar, Reza;Chinaei, Farhad;Faramoushjan, Shahram Ghaedi;Esfahani, Mohammad Hossein Nasr;Esfahani, Shabnam Nasr;Mahmoudi, Maryam
    • Smart Structures and Systems
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    • 제23권4호
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    • pp.387-392
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    • 2019
  • This research deals with the vibration analysis of embedded smart concrete plate reinforced by zinc oxide (ZnO). The effective material properties of structure are considered based on mixture rule. The elastic medium is simulated by orthotropic visco-Pasternak medium. The motion equations are derived applying Sinusoidal shear deformation theory (SSDT). The differential quadrature (DQ) method is applied for calculating frequency of structure. The effects of different parameters such as volume percent of ZnO, boundary conditions and geometrical parameters on the frequency of system are shown. The results are compared with other published works in the literature. Results indicate that the ZnO have an important role in frequency of structure.

Static and harmonic analysis of moderately thick square sandwich plate using FEM

  • Manoj Nawariya;Avadesh K. Sharma;Pankaj Sonia;Vijay Verma
    • Advances in materials Research
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    • 제12권2호
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    • pp.83-100
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    • 2023
  • In this paper, sandwich plate, constructed with orthotropic and isotropic composite materials, is analyzed to obtain the static and harmonic behavior. The analysis is done by using ANSYS APDL FEM tool. A solid-shell 190 and an 8-node solid 185 elements are employed for face and core material respectively to analyze the plate. Results was attained by using Reissner-Mindlin theory. Effect of increasing thickness ratio of face sheet to depth of the plate is presented on static, vibration and harmonic response on the sheet and the results are discussed briefly. Published work in open domain was used to validate the results and observed excellent agreement. It can be stated that proposed model presents results with remarkable accuracy. Results are obtained to reduce the weight of the plate and minimizing the vibration amplitudes.

Investigation of wave propagation in anisotropic plates via quasi 3D HSDT

  • Bouanati, Soumia;Benrahou, Kouider Halim;Atmane, Hassen Ait;Yahia, Sihame Ait;Bernard, Fabrice;Tounsi, Abdelouahed;Bedia, E.A. Adda
    • Geomechanics and Engineering
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    • 제18권1호
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    • pp.85-96
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    • 2019
  • A free vibration analysis and wave propagation of triclinic and orthotropic plate has been presented in this work using an efficient quasi 3D shear deformation theory. The novelty of this paper is to introducing this theory to minimize the number of unknowns which is three; instead four in other researches, to studying bulk waves in anisotropic plates, other than it can model plates with great thickness ratio, also. Another advantage of this theory is to permits us to show the effect of both bending and shear components and this is carried out by dividing the transverse displacement into the bending and shear parts. Hamilton's equations are a very potent formulation of the equations of analytic mechanics; it is used for the development of wave propagation equations in the anisotropic plates. The analytical dispersion relationship of this type of plate is obtained by solving an eigenvalue problem. The accuracy of the present model is verified by confronting our results with those available in open literature for anisotropic plates. Moreover Numerical examples are given to show the effects of wave number and thickness on free vibration and wave propagation in anisotropic plates.

탄성지지된 3경간 연속 복합슬래브교량의 간단한 진동해석 (Simple Method of Vibration Analysis of Three Span Continuous Composite Slab Bridges with Elastic Intermediate Supports)

  • 한봉구;김덕현
    • 한국강구조학회 논문집
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    • 제17권3호통권76호
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    • pp.317-324
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    • 2005
  • 본 연구에서는 3경간연속 탄성지지된 복합슬래브교량을 특별직교이방성 판이론을 응용하여 해석하였다. 불균등단면이나 임의의 경계조건을 가진 보나 타워구조물의 고유진동수를 계산하는 방법을 탄성지지된 3경간 연속 복합슬래브교량에 적용하여 연구하였다. 슬래브 상판은 특별직교이방성 판으로 취급하였다. 진동해석에 필요한 변위의 영향계수는 여러 가지 방법으로 구할 수 있으나 본 논문에서는 유한차분법을 사용하였다. 또한 휨강성에 대한 영향과 기초의 탄성계수에 대한 영향에 대하여 연구하였다.

Elasticity solution and free vibrations analysis of laminated anisotropic cylindrical shells

  • Shakeri, M.;Eslami, M.R.;Yas, M.H.
    • Structural Engineering and Mechanics
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    • 제7권2호
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    • pp.181-202
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    • 1999
  • Dynamic response of axisymmetric arbitrary laminated composite cylindrical shell of finite length, using three-dimensional elasticity equations are studied. The shell is simply supported at both ends. The highly coupled partial differential equations are reduced to ordinary differential equations (ODE) with variable coefficients by means of trigonometric function expansion in axial direction. For cylindrical shell under dynamic load, the resulting differential equations are solved by Galerkin finite element method, In this solution, the continuity conditions between any two layer is satisfied. It is found that the difference between elasticity solution (ES) and higher order shear deformation theory (HSD) become higher for a symmetric laminations than their unsymmetric counterpart. That is due to the effect of bending-streching coupling. It is also found that due to the discontinuity of inplane stresses at the interface of the laminate, the slope of transverse normal and shear stresses aren't continuous across the interface. For free vibration analysis, through dividing each layer into thin laminas, the variable coefficients in ODE become constants and the resulting equations can be solved exactly. It is shown that the natural frequency of symmetric angle-ply are generally higher than their antisymmetric counterpart. Also the results are in good agreement with similar results found in literatures.

Vibration analysis of functionally graded nanocomposite plate moving in two directions

  • Arani, Ali Ghorbanpour;Haghparast, Elham;Zarei, Hassan BabaAkbar
    • Steel and Composite Structures
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    • 제23권5호
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    • pp.529-541
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    • 2017
  • In the present study, vibration analysis of functionally graded carbon nanotube reinforced composite (FGCNTRC) plate moving in two directions is investigated. Various types of shear deformation theories are utilized to obtain more accurate and simplest theory. Single-walled carbon nanotubes (SWCNTs) are selected as a reinforcement of composite face sheets inside Poly methyl methacrylate (PMMA) matrix. Moreover, different kinds of distributions of CNTs are considered. Based on extended rule of mixture, the structural properties of composite face sheets are considered. Motion equations are obtained by Hamilton's principle and solved analytically. Influences of various parameters such as moving speed in x and y directions, volume fraction and distribution of CNTs, orthotropic viscoelastic surrounding medium, thickness and aspect ratio of composite plate on the vibration characteristics of moving system are discussed in details. The results indicated that thenatural frequency or stability of FGCNTRC plate is strongly dependent on axially moving speed. Moreover, a better configuration of the nanotube embedded in plate can be used to increase the critical speed, as a result, the stability is improved. The results of this investigation can be used in design and manufacturing of marine vessels and aircrafts.

경량 복합재 차체 구조의 역설계를 통한 복합재료 라미나 물성 산출 기법 연구 (A Study on Calculation of Composites Lamina Material Properties through Reverse Engineering of Light Weight Composite Car-body)

  • 문진범;김지훈;장홍규;박지상
    • 한국자동차공학회논문집
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    • 제25권1호
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    • pp.1-10
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    • 2017
  • In reverse engineering, one of the main tasks is reconstructing the mechanical properties of used materials. For an isotropic material, it could be defined by a single tensile test using a coupon extracted from the structure. In contrast, CFRP composites require many tests and complex procedures to define all the material properties because CFRP is an orthotropic material and a stacked laminate. In this paper, the procedure to reconstruct composite material properties is studied by using the classical lamination theory and the test data of three different laminates from a composite structure. A sample reconstruction of composite material properties using a composite car body is introduced to verify the method.

CF/Epoxy 복합평판의 적층구성에 따른 낙추충격특성에 관한 연구 (Characteristics of Falling Weight Impact Responses due to Stacking Sequences of CF/Epoxy Composite Plates)

  • 박노식;임광희;김기형;양인영
    • Composites Research
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    • 제13권6호
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    • pp.30-38
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    • 2000
  • 본 연구에서는 낙추충격 시험시스템을 제작하여 낙추의 응력파 전파 현상을 고려한 CFRP적층판의 충격흡수특성 및 충격강도를 평가하였으며, 초음파 C-스캔너를 이용하여 내부손상영역을 관찰하여 시험편의 손상면적과 흡수에너지의 상관관계를 규명하였다. 적층배향이 다른 직교이방성 시험편이 의사등방성 시험편의 충격에너지와 흡수에너지 수준을 보면 의사등방성 시험편이 흡수에너지가 높게 나타났지만, 충격에너지와 박리면적의 크기는 별 차이가 나타나지 않았으며 계면수가 많은 시험편이 충격에너지를 많이 흡수하였다. 적층수 및 적층방향이 동일한 경우, GFRP 프리프레그를 삽입한 시험편이 그렇지 않은 시험편보다 흡수에너지가 높게 나타났다.

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비대칭물성을 고려한 일축방향 섬유강화 복합재료 C링의 점탄성적 거동해석 (Viscoelastic Bending Behaviors of Unidirectional Fiber Reinforced Composite C-rings with Asymmetric Material Properties)

  • 이명규;이창주;박종현;정관수;김준경;강태진
    • Composites Research
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    • 제13권5호
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    • pp.18-30
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    • 2000
  • 일축방향 섬유강화 복합재료 C링의 최적설계를 위하여, 이의 점 하중 하에서의 점탄성적 하중완화거동을 해석하였다. 이를 위하여 곡선보의 굽힘 이론을 이용하여 탄성학적 처짐과 굽힘 강성의 해석을 수행한 후 상당원리(correspondence theorem)를 이용하여 점탄성학적 하중완화 거동을 해석하였다. 일축방향 섬유강화 복합재료의 직교이방성 뿐만 아니라 복합재료의 인장강성과 압축강성의 차이에서 기인하는 비대칭물성도 함께 고려하였다. 그 결과 C링의 단면의 두께가 반지름에 비해 충분히 작은 보라면 보이론만으로도 정확하게 곡선보를 해석할 수 있고 하중완화 이론값 또한 실험값과 잘 일치하고 있음을 알 수 있었다.

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Vibration and instability analysis of pipes reinforced by SiO2 nanoparticles considering agglomeration effects

  • Golabchi, Hadi;Kolahchi, Reza;Bidgoli, Mahmood Rabani
    • Computers and Concrete
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    • 제21권4호
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    • pp.431-440
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    • 2018
  • Fluid velocity analysis on the instability of pipes reinforced by silica nanoparticles ($SiO_2$) is presented in this paper. Mori-Tanaka model is used for obtaining the effective materials properties of the nanocomposite structure considering agglomeration effects. The well known Navier-Stokes equation is used for obtaining the applied force of fluid to pipe. Based on the Reddy higher-order shear deformation theory, the motion equations are derived based on energy method and Hamilton's principal. The frequency and critical fluid velocity of structure are calculated using differential quadrature method (DQM) so that the effects of different parameters such as volume fractions of SiO2 nanoparticles, SiO2 nanoparticles agglomeration, boundary conditions and geometrical parameters of pipes are considered on the nonlinear vibration and instability of the pipe. Results indicate that increasing the volume fractions of SiO2 nanoparticles, the frequency and critical fluid velocity of the structure are increased. Furthermore, considering SiO2 nanoparticles agglomeration, decreases the frequency and critical fluid velocity of the pipe.