• Structural Engineering and Mechanics
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• 제58권5호
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• pp.931-947
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• 2016

The effects of nanotechnology and smartness on the buckling reduction of pipes are the main contributions of present work. For this ends, the pipe is simulated with classical piezoelectric polymeric cylindrical shell reinforced by armchair double walled boron nitride nanotubes (DWBNNTs), The structure is subjected to combined electro-thermo-mechanical loads. The surrounding elastic foundation is modeled with a novel model namely as orthotropic nonhomogeneous Pasternak medium. Using representative volume element (RVE) based on micromechanical modeling, mechanical, electrical and thermal characteristics of the equivalent composite are determined. Employing nonlinear strains-displacements and stress-strain relations as well as the charge equation for coupling of electrical and mechanical fields, the governing equations are derived based on Hamilton's principal. Based on differential quadrature method (DQM), the buckling load of pipe is calculated. The influences of electrical and thermal loads, geometrical parameters of shell, elastic foundation, orientation angle and volume percent of DWBNNTs in polymer are investigated on the buckling of pipe. Results showed that the generated ${\Phi}$ improved sensor and actuator applications in several process industries, because it increases the stability of structure. Furthermore, using nanotechnology in reinforcing the pipe, the buckling load of structure increases.

• Structural Engineering and Mechanics
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• 제81권4호
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• pp.523-527
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• 2022

The objective of this study is to simulate the flow in pipes with various boundary conditions. Free-pressure fluid model, is used in the pipe based on Navier-Stokes equation. The models are solved by using the numerical method. A problem called "stability of pipes" is used in order to compare frequency and critical fluid velocity. When the initial conditions of problem satisfied the instability conditions, the free-pressure model could accurately predict discontinuities in the solution field. Employing nonlinear strains-displacements, stress-strain energy method the governing equations were derived using Hamilton's principal. Differential quadrature method (DQM) is used for obtaining the frequency and critical fluid velocity. The results of this paper are analyzed by hyperbolic numerical method. Results show that the level of numerical diffusion in the solution field and the range of well-posedness are two important criteria for selecting the two-fluid models. The solutions for predicting the flow variables is approximately equal to the two-pressure model 2. Therefore, the predicted pressure changes profile in the two-pressure model is more consistent with actual physics. Therefore, in numerical modeling of gas-liquid two-phase flows in the vertical pipe, the present model can be applied.

• Steel and Composite Structures
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• 제18권2호
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• pp.443-465
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• 2015

In this paper, an efficient and simple trigonometric shear deformation theory is presented for thermal buckling analysis of functionally graded plates. It is assumed that the plate is in contact with elastic foundation during deformation. The theory accounts for sinusoidal distribution of transverse shear stress, and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate without using shear correction factor. Unlike the conventional trigonometric shear deformation theory, the proposed sinusoidal shear deformation theory contains only four unknowns. It is assumed that the mechanical and thermal non-homogeneous properties of functionally graded plate vary smoothly by distribution of power law across the plate thickness. Using the non-linear strain-displacement relations, the equilibrium and stability equations of plates made of functionally graded materials are derived. The boundary conditions for the plate are assumed to be simply supported on all edges. The elastic foundation is modelled by two-parameters Pasternak model, which is obtained by adding a shear layer to the Winkler model. The effects of thermal loading types and variations of power of functionally graded material, aspect ratio, and thickness ratio on the critical buckling temperature of functionally graded plates are investigated and discussed.

• 한국해양공학회지
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• 제21권1호
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• pp.31-39
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• 2007

Recently, the nonlinear dynamic responses among waves, submarine pipeline and seabed have become a target of analyses for marine geotechnical and coastal engineers. Specifically, the velocity field around the submarine pipeline and the wave-induced responses of soil, such as stress and strain inside seabed, have been recognized as dominant factors in discussing the stability of submarine pipeline. The aim of this paper is to investigate nonlinear dynamic responses of soil in seabed, around submarine pipeline, under wave loading. In order to examine wave-induced soil responses, first, the calculation is conducted in the whole domain, including wave field and the seabed, using the VOF-FDM method. Then, velocities and pressures, which are obtained on the boundary between the wave field and the seabed, are used as the boundary condition to compute the wave-induced stress and strain inside seabed, using the poro-elastic FEM model, which is based on the approximation of the Biot's equations. Based on the numerical results, the characteristics of wave-induced soil responses around submarine pipeline are investigated, in detail, inrelation to relative separate distance of the submarine pipeline from seabed. Also, the velocity field around the submarine pipeline is discussed.

• 지구물리와물리탐사
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• 제19권3호
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• pp.153-163
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• 2016

지반 굴착에 따른 지하수위 저하로 인해 발생되는 지반함몰 문제는 지하수 흐름에 대한 이해를 바탕으로 한 해석적인 접근이 필요하다. 이 연구에서는 실내 토질시험 결과를 이용하여 유전상수와 체적함수비 상관식에 대한 여러 경험식의 적합성을 비교 검토하였으며, 수치연산을 통해 GPR 탐사를 이용한 유전상수 추정방법에 대해 검토하였다. 사질토 지반에 대해 굴착에 따른 침투해석과 응력-변형률 해석을 실시하였으며, 기존 실내실험 연구결과와 비교한 결과, 불포화토에 대한 침투압을 고려한 응력해석 결과에서 불포화지반의 모관흡입력 값을 유사하게 예측하였다.

• 한국지반공학회논문집
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• 제35권4호
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• pp.15-26
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• 2019

지진에 대한 중력식 안벽의 안정성은 구조물의 허용변위를 기준으로 평가하며, 외력으로 발생하는 변위를 계산하기 위하여 Newmark 활동블록 이론에 기초한 변위 경험식 혹은 수치해석을 사용한다. 수치해석의 경우 복잡한 지형 및 구조물에 대한 정밀한 분석이 가능하나 적절한 입력변수 및 환경설정의 어려움으로 전문가가 아니면 신뢰성 있는 결과 도출에 한계가 있다. Newmark 법의 변위 경험식은 지진파만을 가지고 영구변위를 추정하기에 수치해석보다 간편하여 널리 사용되고 있다. 하지만 변위 경험식들은 구조물의 특성과 활동면에 대한 파라메터가 없으며, 강체로 가정된 활동면에서 흙의 비선형 거동과 구조물과의 상호작용을 고려하지 않았다. 따라서 중력식 안벽의 지진 안정성 평가를 위해서는 앞서 언급한 한계점을 보완하는 새로운 변위 경험식이 필요하다. 본 연구에서는 수치해석을 통해 구조물 뒷채움재의 응답특성을 분석하여 최적의 활동면 산정법을 제시하고자 하였다. 이를 위해 유한요소해석을 수행하여 다양한 지진파에 따른 응답특성과 응력-변형률 관계를 분석하였다. 그 결과 뒷채움재의 응답특성과 활동면은 입력 지진파에 따라 달라지는 것으로 나타났다.

• Structural Engineering and Mechanics
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• 제65권4호
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• pp.491-504
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• 2018

Because of sandwich structures with low weight and high stiffness have much usage in various industries such as civil and aerospace engineering, in this article, buckling and free vibration analyses of coupled micro composite sandwich plates are investigated based on sinusoidal shear deformation (SSDT) and most general strain gradient theories (MGSGT). It is assumed that the sandwich structure rested on an orthotropic elastic foundation and make of four composite face sheets with temperature-dependent material properties that they reinforced by carbon and boron nitride nanotubes and two flexible transversely orthotropic cores. Mathematical formulation is presented using Hamilton's principle and governing equations of motions are derived based on energy approach and applying variation method for simply supported edges under electro-magneto-thermo-mechanical, axial buckling and pre-stresses loadings. In order to predict the effects of various parameters such as material length scale parameter, length to width ratio, length to thickness ratio, thickness of face sheets to core thickness ratio, nanotubes volume fraction, pre-stress load and orthotropic elastic medium on the natural frequencies and critical buckling load of double-bonded micro composite sandwich plates. It is found that orthotropic elastic medium has a special role on the system stability and increasing Winkler and Pasternak constants lead to enhance the natural frequency and critical buckling load of micro plates, while decrease natural frequency and critical buckling load with increasing temperature changes. Also, it is showed that pre-stresses due to help the axial buckling load causes that delay the buckling phenomenon. Moreover, it is concluded that the sandwich structures with orthotropic cores have high stiffness, but because they are not economical, thus it is necessary the sandwich plates reinforce by carbon or boron nitride nanotubes specially, because these nanotubes have important thermal and mechanical properties in comparison of the other reinforcement.

• International Journal of Naval Architecture and Ocean Engineering
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• 제11권1호
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• pp.82-96
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• 2019

A semi-submersible structure has been widely used for offshore drilling and production of oil and gas. The small water plane area makes the structure very sensitive to weight increase in terms of payload and stability. Therefore, it is necessary to lighten the substructure from the early design stage. This study aims at an optimization of hull structure based on a sophisticated yield and buckling strength in accordance with classification rules. An in-house strength assessment system is developed to automate the procedure such as a generation of buckling panels, a collection of required panel information, automatic buckling and yield check and so on. The developed system enables an automatic yield and buckling strength check of all panels composing the hull structure at each iteration of the optimization. Design variables are plate thickness and stiffener section profiles. In order to overcome the difficulty of large number of design variables and the computational burden of FE analysis, various methods are proposed. The steepest descent method is selected as the optimization algorithm for an efficient search. For a reduction of the number of design variables and a direct application to practical design, the stiffener section variable is determined by selecting one from a pre-defined standard library. Plate thickness is also discretized at 0.5t interval. The number of FE analysis is reduced by using equations to analytically estimating the stress changes in gradient calculation and line search steps. As an endeavor to robust optimization, the number of design variables to be simultaneously optimized is divided by grouping the scantling variables by the plane. A sequential optimization is performed group by group. As a verification example, a central column of a semi-submersible structure is optimized and compared with a conventional optimization of all design variables at once.

• Steel and Composite Structures
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• 제25권2호
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• pp.157-175
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• 2017

The novelty of this work is the use of a new displacement field that includes undetermined integral terms for analyzing thermal buckling response of functionally graded (FG) sandwich plates. The proposed kinematic uses only four variables, which is even less than the first shear deformation theory (FSDT) and the conventional higher shear deformation theories (HSDTs). The theory considers a trigonometric variation of transverse shear stress and verifies the traction free boundary conditions without employing the shear correction factors. Material properties of the sandwich plate faces are considered to be graded in the thickness direction according to a simple power-law variation in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are assumed as uniform, linear and non-linear temperature rises within the thickness direction. An energy based variational principle is employed to derive the governing equations as an eigenvalue problem. The validation of the present work is checked by comparing the obtained results the available ones in the literature. The influences of aspect and thickness ratios, material index, loading type, and sandwich plate type on the critical buckling are all discussed.

• 한국지반공학회논문집
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• 제15권6호
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• pp.45-55
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• 1999

파랑에 의한 불포화된 해저지반의 거동, 액상화와 전단파괴에 대한 연구이다. 불포화된 지반은 유체가 채워진 다공성 탄성체로 모델화 하였다. 유체의 흐름과 토립자의 변형은 Biot의 이론에 따른 지배방정식으로 나타내었다. 이 방정식은 준해석적 방법으로 풀어 불포화된 다층의 지반에 대하여 응력과 간극수압을 평가하였다 준해석적 방법은 기존의 해석방법과 달리 다층의 이방성 지반을 연속적으로 해석할 수 있다. 해석결과에 의하면, 지반의 포화도는 불포화된 다층의 지반에서 응력과 간극수압의 크기에 가장 큰 영향을 미치고 있는 것으로 나타났다. 또한, 해석결과를 토대로 지반의 액상화 발생과 전단파괴에 대한 검토를 실시하였으며, 그 결과 최대 전단파괴가 발생된 깊이가 최대 액상화 발생지역 보다 깊은 것으로 나타났다.