• 제목/요약/키워드: nonlinear deformation theory

검색결과 267건 처리시간 0.028초

슬래밍 충격하중을 고려한 선체 휘핑 해석 (Whipping analysis of hull girders considering slamming impact loads)

  • 박성환;이근배;임채환
    • 대한조선학회논문집
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    • 제37권3호
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    • pp.99-109
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    • 2000
  • 본 연구에서는 대파고 파랑 중을 항해하는 선박의 슬래밍 충격에 대한 선체 전체의 동적 탄성응답 해석법을 개발하였다. 선체구조는 전단효과를 고려하는 박판보 유한요소이론을 활용하였으며, 선체 각 단면에 작용하는 유체력은 통상의 선형 운동체 이론에 덧붙여 물체 경계의 비선형성을 고려하여 추정하였다. 즉 매 순간 선체와 파 입자간의 접수 형상을 고려하는 비선형 유체력 추정법을 모멘텀 슬래밍 이론에 근거하여 정식화하였다. 개발된 해석법의 검증을 위해 V형 단면 선형과 S-175 선형 모델을 대상으로 수치해석을 수행하였다. 시간 영역에 있어 각 단면에서의 파면에 대한 상대 변위 성분과 속도 성분들을 계산하였으며, 선체 중앙 단면에서의 굽힘 모멘트 값의 시간이력을 검토하였다.

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Flow Truss Dome 구조물의 비대칭 하중모드에 따른 불안정 현상에 관한 연구 (A Study of Unstable Phenomenon of Flow Truss Dome Structure with Asymmetric Load Modes)

  • 손수덕;김승덕;강문명
    • 한국공간구조학회논문집
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    • 제2권4호
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    • pp.61-76
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    • 2002
  • The structure system that is discreterized by continuous shells is usually used to make a large space structures and these structures show the collapse mechanisms that are captured at over the limit load, and snap-through and bifurcation are most well known of it. For the collapse mechanism, rise-span ratio, element stiffness and load mode are main factor, which it give an effect to unstable behavior. Moreover, resist force of structure can be reduced by initial condition and initial imperfection significantly. In order to investigate the instability of shell structures, the finite deformation theory can be applied and it becomes a nonlinear mathematics in which use equation of tangential stiffness incrementally. With an initial imperfection, using simple example and Flow Truss Dome, the buckling characteristics of space truss is main purpose of this paper, and unstable behavior is studied by proposed the numerical method. Also, by using MIDAS, this research work analyzes displacements and inner forces as the design load of model, and the ratio of buckling load of design load is investigated.

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낮은 포물선 아치의 탄성 면내좌굴에 관한 근사식 (Approximate Solution for In-Plane Elastic Buckling of Shallow Parabolic Arches)

  • 문지호;윤기용;이종원;이학은
    • 한국강구조학회 논문집
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    • 제18권4호
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    • pp.427-436
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    • 2006
  • 고전 좌굴 이론의 경우 좌굴 발생전 아치의 거동을 선형으로 가정하며, 전좌굴 변형을 무시한다. 이러한 가정은 비대칭 좌굴이 발생하는 깊은 아치의 경우 타당한 것으로 알려져 있다. 하지만 아치의 라이즈가 낮아지는경우 전좌굴 발선형성은 무시할 수 없으며, 비대칭 좌굴 강도보다 대칭 좌굴 강도가 낮아져 아치는 대칭좌굴에 의해 강도가 결정될 수 있다. 본 연구는 아치의 비선형 지배 미분 방정식을 이용하여 양단 힌지를 갖는 낮은 포물선 아치의 거동에 관한 연구를 수행하고 이러한 결과를 유한 요소 해석을 이용하여 검증하였다. 마지막으로 양단 힌지를 갖는 낮은 포물선 아치의 대칭 좌굴 강도에 관한 근사식을 제안하였다.

Stochastic thermo-mechanically induced post buckling response of elastically supported nanotube-reinforced composite beam

  • Chaudhari, Virendra Kumar;Shegokar, Niranjan L.;Lal, Achchhe
    • Advances in aircraft and spacecraft science
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    • 제4권5호
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    • pp.585-611
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    • 2017
  • This article covenants with the post buckling witticism of carbon nanotube reinforced composite (CNTRC) beam supported with an elastic foundation in thermal atmospheres with arbitrary assumed random system properties. The arbitrary assumed random system properties are be modeled as uncorrelated Gaussian random input variables. Unvaryingly distributed (UD) and functionally graded (FG) distributions of the carbon nanotube are deliberated. The material belongings of CNTRC beam are presumed to be graded in the beam depth way and appraised through a micromechanical exemplary. The basic equations of a CNTRC beam are imitative constructed on a higher order shear deformation beam (HSDT) theory with von-Karman type nonlinearity. The beam is supported by two parameters Pasternak elastic foundation with Winkler cubic nonlinearity. The thermal dominance is involved in the material properties of CNTRC beam is foreseen to be temperature dependent (TD). The first and second order perturbation method (SOPT) and Monte Carlo sampling (MCS) by way of CO nonlinear finite element method (FEM) through direct iterative way are offered to observe the mean, coefficient of variation (COV) and probability distribution function (PDF) of critical post buckling load. Archetypal outcomes are presented for the volume fraction of CNTRC, slenderness ratios, boundary conditions, underpinning parameters, amplitude ratios, temperature reliant and sovereign random material properties with arbitrary system properties. The present defined tactic is corroborated with the results available in the literature and by employing MCS.

Concrete columns reinforced with Zinc Oxide nanoparticles subjected to electric field: buckling analysis

  • Arbabi, Amir;Kolahchi, Reza;Bidgoli, Mahmood Rabani
    • Wind and Structures
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    • 제24권5호
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    • pp.431-446
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    • 2017
  • As concrete is most usable material in construction industry it's been required to improve its quality. Nowadays, nanotechnology offers the possibility of great advances in construction. In this study, buckling of horizontal concrete columns reinforced with Zinc Oxide (ZnO) nanoparticles is analyzed. Due to the presence of ZnO nanoparticles which have piezoelectric properties, the structure is subjected to electric field for intelligent control. The Column is located in foundation with vertical springs and shear modulus constants. Sinusoidal shear deformation beam theory (SSDBT) is applied to model the structure mathematically. Micro-electro-mechanic model is utilized for obtaining the equivalent properties of system. Using the nonlinear stress-strain relation, energy method and Hamilton's principal, the motion equations are derived. The buckling load of the column is calculated by Difference quadrature method (DQM). The aim of this study is presenting a mathematical model to obtain the buckling load of structure as well as investigating the effect of nanotechnology and electric filed on the buckling behavior of structure. The results indicate that the negative external voltage applied to the structure, increases the stiffness and the buckling load of column. In addition, reinforcing the structure by ZnO nanoparticles, the buckling load of column is increased.

Progressive failure of symmetrically laminated plates under uni-axial compression

  • Singh, S.B.;Kumar, Ashwini;Iyengar, N.G.R.
    • Structural Engineering and Mechanics
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    • 제5권4호
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    • pp.433-450
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    • 1997
  • The objective of this work is to predict the failure loads, associated maximum transverse displacements, locations and the modes of failure, including the onset of delamination, of thin, flat, square symmetric laminates under the action of uni-axial compression. Two progressive failure analyses, one using Hashin criterion and the other using Tensor polynomial criteria, are used in conjunction with the finite element method. First order shear deformation theory and geometric nonlinearity in the von Karman sense have been employed. Five different types of lay-up sequence are considered for laminates with all edges simply supported. In addition, two boundary conditions, one with all edges fixed and other with mixed boundary conditions for $(+45/-45/0/90)_{2s}$ quasi-isotropic laminate have also been considered to study the effect of boundary restraints on the failure loads and the corresponding modes of failure. A comparison of linear and nonlinear results is also made for $({\pm}45/0/90)_{2s}$ quasi-isotropic laminate. It is observed that the maximum difference between the failure loads predicted by various criteria depend strongly on the laminate lay-ups and the flexural boundary restraints. Laminates with clamped edges are found to be more susceptible to failure due to the transverse shear and delamination, while those with the simply supported edges undergo total collapse at a load slightly higher than the fiber failure load.

회전하는 타이어의 변형에너지 손실에 의한 온도분포 해석 (Analysis of Temperature Distribution in a Rolling Tire due to Strain Energy Dissipation)

  • 박현철;윤성기;송태석;김남전
    • 대한기계학회논문집A
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    • 제21권5호
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    • pp.746-755
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    • 1997
  • This paper addresses the systematic procedure using sequential approach for the analysis of the coupled thermo-mechanical behavior of a steady rolling tire. Not only the knowledge of mechanical stresses but also of the temperature loading in a rolling tire are very important because material damage and material properties are significantly affected by the temperature. In general, the thermo-mechanical behavior of a pneumatic tire is highly complex transient phenomenon that requires the solution of a dynamic nonlinear coupled themoviscoelasticity problem with heat source resulting from internal dissipation and friction. In this paper, a sequential approach, with effective calculation schemes, to modeling this system is presented in order to predict the temperature distribution with reasonable sccuracies in a steady state rolling tire. This approach has the three major analysis modules-deformation, dissipation, and thermal modules. In the dissipation module, an analytic method for the calculation of the heat source in a rolling tire is established using viscoelastic theory. For the verification of the calculated temperature profiles and rolling resistance at different velocities, they were compared with the measured ones.

모듈레이팅 레이저를 이용한 ESPI 시스템 개발 (Development of ESPI System Using a Modulating LASER)

  • 이근영;강영준;박낙규;이동환
    • 한국정밀공학회지
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    • 제25권3호
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    • pp.93-100
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    • 2008
  • Laser interferometry is widely used as a measuring system in many fields because of its high resolution and ability to measure a broad area in real-time all at once. In conventional LASER interferometry, for example Out-of-plane ESPI(Electronic Speckle Pattern Interferometry), In plane ESPI, Shearography and Holography, it uses PZT or other components as a phase shift instrumentation to extract 3D deformation data, vibration mode and others. However, in most cases PZT has some disadvantages, which include nonlinear errors and limited time of use. In the present study, a new type of LASER interferometry using a laser diode is proposed. Using LASER Diode Sinusoidal Phase Modulating (LD-SPM) interferometry, the phase modulation can be directly modulated by controlling the LASER Diode injection current thereby eliminating the need for PZT and its components. This makes the interferometry more compact. This paper reports on a new approach to the LD Modulating interferometry that involves four-buckets phase shift method. This study proposes a four-bucket phase mapping algorithm, which was developed to have a guaranteed application, to stabilize the system in the field and to be a user-friendly GUI. In this paper, the theory for LD wavelength modulation and sinusoidal phase modulation of LD modulating interferometry is shown. Four-bucket phase mapping algorithm is then introduced.

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.

유체상과 변형율속도를 고려한 해면골의 거동해석 (Behavior of trabecular bone considered by fluid phase and strain rate)

  • 민성기;홍정화;문무성;이진희
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 추계학술대회 논문집
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    • pp.1078-1080
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    • 2002
  • The pressure variation of interstitial fluid is one of the most important factors in bone physiology. In order to understand the role of interstitial fluid and the biomechanical interactions between fluid and solid constituents within bone, poroelastic theory was applied. The purpose of this study is to describe the behavior of calf vertebral trabecular bone composed of the porous solid trabeculae and the viscous bone marrow by using a commercial finite element analysis program based on the poroelasticity. In this study, the model was numerically tested for 5 different strain rates, i. e., 0.001, 0.01, 0.1, 1.0, and 10 per second. The material properties of the calf vertebral trabecular bone were utilized from the previous experimental study. Two asymptotic poroelastic response, the drained and undrained deformation, were predicted. From the predicted results for the simulated five strain rate, it was found that the pore pressure generation has a linearly increasing behavior when the strain rate is the highest at 10 per second, other wise it showed a nonlinear the strain rate Increased. Based on the results of the present study, it was suggested that the calf vertebral trabecular bone could be modeled as a porous material and its strain rate dependent material behavior could be predicted.

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