• Computers and Concrete
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• 제24권4호
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• pp.347-367
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• 2019

This work investigates the effect of Winkler/Pasternak/Kerr foundation and porosity on dynamic behavior of FG plates using a simple quasi-3D hyperbolic theory. Four different patterns of porosity variations are considered in this study. The used quasi-3D hyperbolic theory is simple and easy to apply because it considers only four-unknown variables to determine the four coupled vibration responses (axial-shear-flexion-stretching). A detailed parametric study is established to evaluate the influences of gradient index, porosity parameter, stiffness of foundation parameters, mode numbers, and geometry on the natural frequencies of imperfect FG plates.

• Steel and Composite Structures
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• 제46권4호
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• pp.553-563
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• 2023

In the current research, the nonlinear free vibrations of curved pipes made of functionally graded (FG) carbon nanotube reinforced composite (CNTRC) materials are investigated. It is assumed that the FG-CNTRC curved pipe is supported on a three-parameter nonlinear elastic foundation and is subjected to a uniform temperature rise. Properties of the curved nanocomposite pipe are distributed across the radius of the pipe and are given by means of a refined rule of mixtures approach. It is also assumed that all thermomechanical properties of the nanocomposite pipe are temperature-dependent. The governing equations of the curved pipe are obtained using a higher order shear deformation theory, where the traction free boundary conditions are satisfied on the top and bottom surfaces of the pipe. The von Kármán type of geometrical non-linearity is included into the formulation to consider the large deflection in the curved nanocomposite pipe. For the case of nanocomposite curved pipes which are simply supported in flexure and axially immovable, the motion equations are solved using the two-step perturbation technique. The closed-form expressions are provided to obtain the small- and large-amplitude frequencies of FG-CNTRC curved pipes rested on a nonlinear elastic foundation in thermal environment. Numerical results are given to explore the effects of CNT distribution pattern, the CNT volume fraction, thermal environment, nonlinear foundation stiffness, and geometrical parameters on the fundamental linear and nonlinear frequencies of the curved nanocomposite pipe.

• Advances in nano research
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• 제15권4호
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• pp.367-384
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• 2023

Natural frequency behavior of graphene platelets reinforced composite (GPL-RC) joined truncated conical-cylindrical- conical shells resting on Winkler-type elastic foundation is presented in this paper for the first time. The rule of mixture and the modified Halpin-Tsai approach are applied to achieve the mechanical properties of the structure. Four different graphene platelets patterns are considered along the thickness of the structure such as GPLA, GPLO, GPLX, GPLUD. Finite element procedure according to Rayleigh-Ritz formulation has been used to solve 2D-axisymmetric elasticity equations. Application of 2D axisymmetric elasticity theory allows thickness stretching unlike simple shell theories, and this gives more accurate results, especially for thick shells. An efficient parametric investigation is also presented to show the effects of various geometric variables, three different boundary conditions, stiffness of elastic foundation, dispersion pattern and weight fraction of GPLs nanofillers on the natural frequencies of the joined shell. Results show that GPLO and BC3 provide the most rigidity that cause the most natural frequencies among different BCs and GPL patterns. Also, by increasing the weigh fraction of nanofillers, the natural frequencies will increase up to 200%.

• Advances in nano research
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• 제16권1호
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• pp.11-26
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• 2024

In this study, free vibration analysis of FG porous spherical cap reinforced by graphene platelets resting on Winkler-type elastic foundation has been surveyed for the first time. Three different types of porosity patterns are considered for the spherical cap whose two types of porosity patterns in the metal matrix are symmetric and the other one is uniform. Besides, five GPL patterns are assumed for dispersing of GPLs in the metal matrix. Tsai-Halpin and extended rule of the mixture are used to determine the Young modulus and mass density of the shell, respectively. Employing 3D FEM elasticity in conjunction with Hamilton's Principle, the governing motion equations of the structure are obtained and solved. The impact of various parameters including porosity coefficient, various porosity distributions in conjunction with different GPL patterns, the weight fraction of graphene Nano fillers, polar angles and stiffness coefficient of elastic foundation on natural frequencies of FG porous spherical cap reinforced by GPLs have been reported for the first time.

• 한국지진공학회논문집
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• 제13권6호
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• pp.67-86
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• 2009

이 연구에서는 u-w 정식화에 근거하여 일반적인 3차원 문제에 적용할 수 있는 지하수로 포화된 가로등방성 층상지반에서의 3차원 전달경계를 개발하였다. 지반 원역에서의 동적거동을 Fourier 급수로 전개하고, 각 항에 대한 동적강성을 u-w 정식화에 근거하여 유도하였다. 그리고 이를 Cartesian 좌표계에서 표현된 지반 근역의 3차원 유한요소와 결합할 수 있도록 변형하여 일반적인 3차원문제에도 적용할 수 있는 방법을 개발하였다. 개발된 방법을 강체 원형 기초의 동적거동 해석에 적용하고 기존의 해석 결과와 비교하여, 이 연구에서 개발된 전달경계가 정확함을 확인하였다. 또한 다양한 형태의 강체 기초 동적거동 해석에 개발된 전달경계를 적용하였고, 지하수로 포화된 가로등방성 층상지반에서 지하수위에 따라 강체 기초 동적거동의 변화 양상을 조사하여, 이 연구에서 개발된 방법의 활용성을 입증하였다.

• Steel and Composite Structures
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• 제19권5호
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• pp.1203-1219
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• 2015

'Distortional buckling' is one of the predominant buckling types that may occur in a steel-concrete composite box beam (SCCBB) under a negative moment. The key factors, which affect the buckling modes, are the torsional and lateral restraints of the bottom plate of a SCCBB. Therefore, this article investigates the equivalent lateral and torsional restraint rigidity of the bottom plate of a SCCBB under a negative moment; the results of which show a linear coupling relationship between the applied forces and the lateral and/or torsional restraint stiffness, which are not depended on the cross-sectional properties of a SCCBB completely. The mathematical formulas for calculating the lateral and torsional restraint rigidity of the bottom plate can be used to estimate: (1) the critical distortional buckling stress of SCCBBs under a negative moment; and (2) the critical distortional moment of SCCBBs. This article develops an improved calculation method for SCCBBs on an elastic foundation, which takes into account the coupling effect between the applied forces and the lateral and/or torsional restraint rigidity of the bottom plate. This article analyzes the accuracy of the following calculation methods by using 24 examples of SCCBBs: (1) the conventional energy method; (2) the improved calculation method, as it has been derived in this article; and (3) the ANSYS finite element method. The results verify that the improved calculation method, as it has been proved in this article, is more accurate and reliable than that of the current energy method, which has been noted in the references.

• 대한기계학회논문집A
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• 제37권12호
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• pp.1547-1557
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• 2013

시간변화 이동자기력이 작용하는 레일의 변형을 티모센코 보 이론(Timoshenko beam theory)로 가정하였으며, 보의 진동특성에 영향을 미치는 탄성체기초의 감쇠효과 및 강성을 고려하였다. 푸리에 급수와 수치해석을 이용해 강제진동모델의 동적응답과 임계속도를 구하였다. 레일의 진동모델을 유한요소 해석 및 오일러 보 이론(Euler beam theory)과 비교 검증하였다. 강제진동모델을 이용하여 레일의 영구변형을 예측하였으며, 실험결과 레일표면의 영구변형 및 마모를 확인하였다. 보의 설계변수인 레일의 형상, 재료, 탄성체 기초의 감쇠효과 및 강성이 레일의 임계속도 및 레일의 처짐, 축 방향 응력, 전단 응력에 미치는 영향에 대한 매개변수적 연구를 진행하였으며, 보의 설계방향을 얻을 수 있었다.

• 대한토목학회논문집
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• 제33권1호
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• pp.219-227
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• 2013

본 연구에서는 연약점토지반에 근입된 송전철탑 기초를 대상으로, 기초부보강공법의 하나인 연결형 기초 형식의 거동과 연결보 특성에 따른 성능발휘 효과를 분석하였다. 이를 위해 유한요소 해석 모델을 구축하였으며, 송전철탑 기초에 연결보의 매트와 닿는 면적비율변화에 의한 거동 및 저항력 특성을 분석하였고, 송전철탑 연결형 기초 모형실험 결과를 이용하여 구축된 유한요소 해석 모델의 타당성의 검증을 실시하여 다양한 매개변수 해석을 통해 연결보의 강성 증가에 따른 효과를 분석하여 송전철탑 연결형 기초의 거동에 효과적인 연결보의 강성을 선정 하였다. 또한, 연결보 자체 휨 모멘트 분포를 확인하여 취약부 분석을 실시하였다.

• 한국강구조학회 논문집
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• 제18권2호
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• pp.173-180
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• 2006

구조물의 지진응답은 기초지반조건의 영향을 받는다. 이 연구에서는 고정지반과 연약지반을 고려한 3, 5, 7층 철골 건축구조물의 밑면전단력을 산정하기 위해 선형 시간이력지진해석과 비선형 Pushover 정적지진해석을 수행하였다. 등가정적강성식으로 구한 기초지반강성은 SAP2000의 Link 요소 중 Damper 요소를 사용하여 입력하였다. 범용구조해석 프로그램 SAP2000에 의한 시간이력으로 구한 철골건축구조물의 밑면전단력을 국내내진설계기준, UBC-97 설계응답스펙트럼, Pushover 정적 비선형해석으로 구한 밑면전단력과 비교하였다. 중력하중과 풍하중으로 설계된 철골 건축구조물은 0.11g의 중진에 대해 탄성응답을 보였고, 탄성 연약지반에서 구조물-지반의 상호작용과 지반 증폭에 의해 구조물의 변위와 밑면전단력이 증가되었다. 따라서, 중약진 지역에서의 건축구조물은 연약지반의 특성을 고려하여 탄성지진해석을 수행하는 것이 더 합리적이다.

• Earthquakes and Structures
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• 제17권5호
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• pp.447-462
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• 2019

This present paper concerned with the analytic modelling for vibration of the functionally graded (FG) plates resting on non-variable and variable two parameter elastic foundation, based on two-dimensional elasticity using higher shear deformation theory. Our present theory has four unknown, which mean that have less than other higher order and lower theory, and we denote do not require the factor of correction like the first shear deformation theory. The indeterminate integral are introduced in the fields of displacement, it is allowed to reduce the number from five unknown to only four variables. The elastic foundations are assumed a classical model of Winkler-Pasternak with uniform distribution stiffness of the Winkler coefficient (kw), or it is with variables distribution coefficient (kw). The variable's stiffness of elastic foundation is supposed linear, parabolic and trigonometry along the length of functionally plate. The properties of the FG plates vary according to the thickness, following a simple distribution of the power law in terms of volume fractions of the constituents of the material. The equations of motions for natural frequency of the functionally graded plates resting on variables elastic foundation are derived using Hamilton principal. The government equations are resolved, with respect boundary condition for simply supported FG plate, employing Navier series solution. The extensive validation with other works found in the literature and our results are present in this work to demonstrate the efficient and accuracy of this analytic model to predict free vibration of FG plates, with and without the effect of variables elastic foundations.