• Advances in materials Research
• /
• 제11권4호
• /
• pp.279-298
• /
• 2022

In this paper, the important novelty and the defining a physical phenomenon of the resent research is the development of nonlocal stress and strain parameters on the porous sandwich beam with functionally graded materials in the top and bottom face sheets.Also, various beam models including Euler-Bernoulli, Reddy and the generalized formulation of two-variable beam theories are obtained in this research. According to a nonlocal strain elasticity theory, the strain at a reference point in the body is dependent not only on the stress state at that point, but also on the stress state at all of the points throughout the body. Thus, the nonlocal stress-strain elasticity theory is defined that can be actual at micro/nano scales. It can be seen that the critical buckling load and transverse deflection of sandwich beam by considering both nonlocal stress-strain parameters is higher than the nonlocal stress parameter. On the other hands, it is noted that by considering the nonlocal stress-strain parameters simultaneously becomes the actual case.

• Steel and Composite Structures
• /
• 제47권5호
• /
• pp.587-599
• /
• 2023

The establishment of a hysteretic model which can accurately predict the hysteretic characteristics of the stud connection is of utmost importance for the seismic assessment of composite structures. In this paper, the Bouc-Wen-Baber-Noori(BWBN) model was adopted to describe the typical hysteretic characteristics of stud connections. Meanwhile, the Newton-Raphson iterative procedure and the Backward Euler method were used to determine the restoring force, and the Genetic Algorithm was employed to identify the parameters of the BWBN model based on the experimental data consisting of eight specimens. The accuracy of the identified parameters was demonstrated by comparison with the experimental data. Finally, prediction equations for the BWBN model parameters were developed in terms of the physical parameters of stud connections, which provides an approach to get the hysteretic response of stud connections conveniently.

• Advances in nano research
• /
• 제16권3호
• /
• pp.303-311
• /
• 2024

This paper conducts a thorough economic evaluation of integrating nanoparticles into concrete structures within the construction industry, aiming to elevate the material properties of concrete. Employing the Halpin-Tsai micromechanics theory for deriving the effective material properties of the nanocomposite concrete structure, the research investigates the nuanced impact of nanoparticles on various mechanical properties, including the modulus of elasticity, compressive strength, and their indirect effects on the percentage of reinforcement. Implementing the Euler theory to formulate the governing equation based on Hamilton's principle, the study delves into the pricing dynamics of nanoparticles and their influence on the overall cost structure of concrete structures. Notably, the findings reveal that a measured increase in the volume percentage of nanoparticles, up to 1%, results in a remarkable 78% improvement in elastic modulus and a substantial 142% reduction in armature percentage. Remarkably, from an economic perspective, the incremental cost associated with the integration of nanoparticles is relatively modest (around $1 per ton of concrete), considering the substantial enhancements in mechanical properties achieved.

• Steel and Composite Structures
• /
• 제51권4호
• /
• pp.407-416
• /
• 2024

The main objective of the present paper is to investigate the nonlinear vibration of buckled beams fixed at both ends and made of Aluminium allay (Al-alloy) reinforced with randomly dispersed Single Walled Carbon Nanotube (SWNT). The Mori-Tanak (M-T) micromechanical approach is selected to predict the homogenized material properties of the beams. The differential equation of motion governing the nonlinear behavior of the Euler-Bernoulli homogeneous beam is solved using an analytical method. The influences of diverse parameters including axial load, vibration amplitude, SWNT volume fraction, SWNT aspect ratio and beam slenderness ratio on the nonlinear frequency are studied.

• 한국산학기술학회논문지
• /
• 제20권8호
• /
• pp.8-14
• /
• 2019

조류 충돌은 항공 운항에서 안전에 관한 가장 중요한 설계 요인이며 고정익 및 회전익 항공기에 심각한 손상을 가하는 원인 중 하나로 분류된다. 본 연구를 통해 조류 충돌 과정을 오일러-라그랑지안 기법을 적용하여 헬리콥터에 장착된 복합재 블레이드의 응답을 MSC.DYTRAN 소프트웨어로 모사하였다. 임의의 라그랑지안 오일러리안(ALE) 방법과 적절한 상태 방정식을 선정하여 조류 모델링에 적용하여 복합재로 구성된 로터 블레이드의 앞전의 조류충돌 구조 건전성을 입증하였다. 조류충돌 해석을 적용하기 위해서 블레이드 앞전 물성치와 조류의 강도와 물성의 차이가 크기 때문에, 충돌 후 조류의 파편을 유체로 가정하여 Euler 요소로 적용하였다. 조류충돌 해석을 통해 설계된 로터 블레이드의 앞전 구조는 조류 충돌에 대해 새의 크기(50.8mm)를 적용하여 TSAI-FILL 파괴기준으로 1.18의 여유마진을 확인하였다. 복합재 블레이드의 조류충돌 해석 결과는 충분히 신뢰성을 가진 것으로 평가되며 다양한 해석조건으로 시험을 대체할 것으로 평가할 수 있다. 향후 제시된 방법으로 다양한 하중 조건, 다양한 조류 모델링을 적용하여 로터 블레이드의 구조 안정성을 평가할 수 있다.

• 대한기계학회논문집A
• /
• 제36권9호
• /
• pp.953-960
• /
• 2012

풍력발전기용 증속기의 유성기어열에서 한단 지지 캐리어에 유연 핀을 적용하여 유성 축과 유연 핀의 변형에 의한 자기 정렬 효과가 증속기 유성기어열의 수명에 미치는 영향에 대한 연구를 수행하였다. 유성기어열의 하중 분배 효과를 분석하기 위하여 오일러 이론과 상용 프로그램을 이용하였다. 풍력발전기용 증속기에 한단 지지 캐리어와 유연 핀이 사용됨에 따라 유성기어의 미스얼라인먼트, 치면 하중분포 계수 및 요구수명이 만족할 만한 성능 향상을 가져왔으며, 특히 요구수명에 있어서 증속기가 요구하는 20년 보증 수명을 만족하는 것으로 확인되었다.

• 한국소음진동공학회논문집
• /
• 제15권11호
• /
• pp.1287-1294
• /
• 2005

이 논문은 자유단이 스프링으로 지지되고 자유단 집중질량을 갖는 Beck 기둥의 안정성 해석에 관한 연구이다. Bernoulli-Euler보 이론을 이용하여 경사종동력을 받는 Beck 기둥의 자유진동을 지배하는 미분방정식과 경계조건을 유도하였다. 이 미분방정식을 수치해석하여 하중-고유진동수 곡선을 얻고 이로부터 발산임계하중 및 동요임계하중을 산출하였다. 수치해석의 결과로부터 경사변수, 집중질량 및 스프링 강성이 임계하중에 미치는 영향을 고찰하였다.

• Steel and Composite Structures
• /
• 제49권2호
• /
• pp.143-159
• /
• 2023

Recently, the design of scaffolding systems has garnered considerable attention due to the increasing number of scaffold collapses. These incidents arise from the underestimation of imposed loads and the site-specific conditions that restrict the application of lateral restraints in scaffold assemblies. The present study is committed to augmenting the buckling resistance of vertical support members, obviating the need for supplementary lateral restraints. To achieve this objective, experimental and computational analyses were performed to assess the axial load buckling capacity of steel props, composed of two hollow steel pipes that slide into each other for a certain length. Three full-scale steel props with various geometric properties were tested to construct and validate the analytical models. The total unsupported length of the steel props is 6 m, while three pins were installed to tighten the outer and inner pipes in the distance they overlapped. Finite Element (FE) modeling is carried out for the three steel props, and the developed models were verified using the experimental results. Also, theoretical analysis is utilized to verify the FE analysis. Using the FE-verified models, a parametric study is conducted to evaluate the effect of different inserted pipe lengths on the steel props' axial load capacity and lateral displacement. Based on the results, the typical failure mode for the studied steel props is global elastic buckling. Also, the prop's elastic buckling strength is sensitive to the inserted length of the smaller pipe. A threshold of minimum inserted length is one-third of the total length, after which the buckling strength increases. The present study offers a prop with enhanced buckling resistance and introduces an equation for calculating an equivalent effective length factor (k), which can be seamlessly incorporated into Euler's buckling equation, thereby facilitating the determination of the buckling capacity of the enhanced props and providing a pragmatic engineering solution.

• 한국구조물진단유지관리공학회 논문집
• /
• 제22권6호
• /
• pp.105-113
• /
• 2018

교량 내하력 추정을 위해 제안된 모델에서는 응답계수를 충격계수 응답스펙트럼을 활용하여 산정하고 있다. 이때 충격계수 응답스펙트럼은 오일러-베르누이 보 모델을 바탕으로 차량이동하중이 교량의 폭 방향으로 중앙부에 재하 된 조건으로 생성된 결과이다. 따라서 중앙부 차량재하가 아닌 편측 이동하중재하 시 충격계수와 응답계수의 변화를 분석해 볼 필요가 있다. 이를 위해 본 연구에서는 폭이 10m인 2차선 단순교를 대상으로 이동하중해석을 실시하여 최대 충격계수와 응답계수 변화를 분석하였다. 수치해석 결과, 중앙부 재하조건 대비 편측 재하조건 적용 시 최대 정적 및 동적 변위 모두 증가하지만 동적변위 보다 정적변위의 증가량이 더 크기 때문에 충격계수는 오히려 감소하게 된다. 하지만 이러한 차이는 0.5%p 미만으로서 그 영향이 크지 않다. 그리고 응답계수의 경우, 편측 재하조건으로 인해 정적응답계수보다 동적응답계수에서 차이가 더 크게 나타나지만 편측 재하에 따른 오차율의 차이는 0.18%p 정도로 매우 작았다. 즉, 편측 이동하중재하가 응답계수에 미치는 영향은 거의 없으며, 응답계수 산정에 있어서 중앙부 이동하중재하 조건으로 생성된 충격계수 응답스펙트럼을 활용하여도 충분한 예측이 가능하다고 판단된다.

• 한국농공학회지
• /
• 제38권3호
• /
• pp.50-57
• /
• 1996

A numerical method is presented to obtain the natural frequencies and mode shapes of the arbitrary tapered beams with static deflection due to arbitrary distributed dead loads. The differential equation governing free vibration of such beams is derived and solved numerically. The double integration method using the trapezoidal rule is used to solve the static behaviour of beams loaded arbitrary distributed dead load. Also, the Improved Euler method and the determinant search method are used to integrate the differential equation subjected to the boundary conditions and to determine the natural frequencies of the beams, respectively. In the numerical examples, the various geometries of the beams are considered : (1) linearly tapered beams as the arbitrary variable cross-section, (2) the triangular, sinusoidal and uniform loads as the arbitrary distributed dead loads and (3) the hinged-hinged, clamped-clamped and hinged-clamped ends as the end constraints. All numerical results are shown as the non-dimensional forms of the system parameters. The lowest three natural frequencies versus load parameter, slenderness ratio and section ratio are reported in figures. And for the comparison purpose, the typical mode shapes with and without the effects of static deflection are presented in the figure. According to the numerical results obtained in this analysis, the following conclusions may be drawn : (1) the natural frequencies increase when the effects of static deflections are included, (2) the effects are larger at the lower modes than the higher ones and (3) it should be betteF to include the effect of static deflection for calculating the frequencies when the beams are supported by both hinged ends or one hinged end.