• Structural Engineering and Mechanics
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• 제77권4호
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• pp.535-547
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• 2021

This paper concerns with free torsional vibration analysis of size dependent circular nanobars with von kármán type nonlinearity. Although review of the literature suggests several studies employing nonlocal elasticity theory to investigate linear torsional behavior, linear/nonlinear transverse vibration and buckling of the nanoscale structures, so far, no study on the nonlinear torsional behavior of the nanobars, considering the size effect, has been reported. This study employs nonlocal elasticity theory along with a variational approach to derive nonlinear equation of motion of the nanobar. Then, the nonlinear equation is solved using the elliptic functions to extract the natural frequencies of the structure under fixed-fixed and fixed-free end conditions. Finally, the natural frequencies of the nanobar under different nanobar lengths, diameters, nonlocal parameters, and amplitudes of vibration are reported to illustrate the effect of these parameters on the vibration characteristics of the nanobars. In addition, the phase plane diagrams of the nanobar for various cases are reported.

• Structural Engineering and Mechanics
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• 제82권2호
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• pp.205-224
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• 2022

This paper presents a refined finite element formulation for nonlinear static and dynamic analysis of sliding cable structures, overcoming the limitation of the existing approaches that neglect or approximate the friction, pulley dimension, temperature and geometric nonlinearity. A new family of elements with the same framework is proposed, consisting of the cable-pulley (CP) elements considering sliding friction, and the non-sliding cable-pulley (NSCP) elements considering static friction. Thereafter, the complete procedure of static and dynamic analysis using the proposed elements is developed, with the capability of accurately dealing with the friction at each pulley. Several examples are utilized to verify the validity and accuracy of the proposed elements and analysis strategy, and investigate the frictional, thermal and pulley-dimension effects as well. The numerical examples show that the results obtained in this work are in good accordance with the existing works when using the same approximations of friction, pulley dimension and temperature. By avoiding the approximations, the proposed formulation can be effectively adopted in predicting the more precise nonlinear responses of sliding cable structures.

• Advances in nano research
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• 제12권1호
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• pp.37-47
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• 2022

In this paper, the non-linear static analysis of Timoshenko nanobeams consisting of bi-directional functionally graded material (BFGM) with immovable ends is investigated. The scratching in the FG nanobeam mid-plane, is the source of nonlinearity of the bending problems. The nonlocal theory is used to investigate the non-linear static deflection of nanobeam. In order to simplify the formulation, the problem formulas is derived according to the physical middle surface. The Hamilton principle is employed to determine governing partial differential equations as well as boundary conditions. Moreover, the differential quadrature method (DQM) and direct iterative method are applied to solve governing equations. Present results for non-linear static deflection were compared with previously published results in order to validate the present formulation. The impacts of the nonlocal factors, beam length and material property gradient on the non-linear static deflection of BFG nanobeams are investigated. It is observed that these parameters are vital in the value of the non-linear static deflection of the BFG nanobeam.

• 한국정밀공학회지
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• 제14권8호
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• pp.21-28
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• 1997

This paper presents the influence of the process parameters on the change in dynamic behavior of a lathe turning system. With variation of feed rate, depth of cut, direction of tool motion, cutting speed and tool location along the workpiece, the dynamic characteristics of stable cutting, chatter transition and fully developed chatter regions are demonstrated. The workpiece vibration during machining is continuously measured at different tool locations along the workpiece and quantitatively analyzed. Complex linear behavior due to change of process parameter values as well as fundamental wystem nonlinearity due to change of process configuration indicated by a tool path dependence of the locations of chatter onset and disappearance are described. Finally, the structural characteristics of the turning system which can have large and nonlinear effects on system behavior are presented.

• Structural Engineering and Mechanics
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• 제87권1호
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• pp.85-94
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• 2023

In the present work, thermal buckling and post-buckling behaviors of imperfect graphene platelet reinforced metal foams (GPRMFs) doubly curved shells are examined. Material properties of GPRMFs doubly curved shells are presumed to be the function of the thickness. Reddy' shell theory incorporating geometric nonlinearity is utilized to derive the governing equations. Various types of the graphene platelets (GPLs) distribution patterns and doubly curved shell types are taken into account. The nonlinear equations are discretized for the case of simply supported boundary conditions. The thermal post-buckling response are presented to analyze the effects of GPLs distribution patterns, initial geometric imperfection, GPLs weight fraction, porosity coefficient, porosity distribution forms, doubly curved shell types. The results show that these factors have significant effects on the thermal post-buckling problems.

• Structural Engineering and Mechanics
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• 제88권5호
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• pp.405-417
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• 2023

This paper reveals theoretical research to the nonlinear dynamic response and initial geometric imperfections sensitivity of the spinning graphene platelets reinforced metal foams (GPLRMF) cylindrical shell under different boundary conditions in thermal environment. For the theoretical research, with the framework of von-Karman geometric nonlinearity, the GPLRMF cylindrical shell model which involves Coriolis acceleration and centrifugal acceleration caused by spinning motion is assumed to undergo large deformations. The coupled governing equations of motion are deduced using Euler-Lagrange principle and then solved by a combination of Galerkin's technique and modified Lindstedt Poincare (MLP) model. Furthermore, the impacts of a set of parameters including spinning velocity, initial geometric imperfections, temperature variation, weight fraction of GPLs, GPLs distribution pattern, porosity distribution pattern, porosity coefficient and external excitation amplitude on the nonlinear harmonic resonances of the spinning GPLRMF cylindrical shells are presented.

• Structural Engineering and Mechanics
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• 제89권3호
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• pp.301-308
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• 2024

Concrete carbonation is a continuous and slow process from the outside to the inside, in which its penetration slows down with the increased depth of carbonation. In this paper, the results of the evaluation of the measurement of concrete carbonation depth using a non-destructive ultrasonic testing method are presented. According to the results, the relative nonlinear parameter caused more sensitivity in carbonation changes compared to Rayleigh's fuzzy velocity. Thus, the acoustic nonlinear parameter is expected to be applied as a quantitative index to recognize carbonation effects. In this research, combo diagrams were developed based on the results of ultrasonic testing and the experiment to determine carbonation depth using a phenolphthalein solution, which could be considered as instructions in the projects involving non-destructive ultrasonic test methods. The minimum and maximum accuracy of this method were 89% and 97%, respectively, which is a reasonable range for operational projects. From the analysis performed, some useful expressions are found by applying the regression analysis for the nonlinearity index and the carbonation penetration depth values as a guideline.

• 대한토목학회논문집
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• 제34권5호
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• pp.1363-1372
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• 2014

선행연구에서 제안된 조립식 프리캐스트 콘크리트 아치의 구조성능이 실험적으로 평가되었다. 본 연구에서는 이에 대하여 재료 및 접촉 비선형을 고려한 유한요소해석을 수행하였으며, 실험결과와 비교하여 콘크리트 블록 간의 마찰계수를 결정하였다. 아치부재 단면의 강도를 평가하기 위해 탄성해석으로 단면력을 산정하여 이를 단면의 공칭강도와 비교하였다. 모든 실험체에서 평가된 최대 하중은 부재단면의 공칭강도를 상회하였으며, 실험과 유사한 결과를 보였다. 따라서 탄성해석과 단면의 극한강도모델에 의한 방법은 설계시 콘크리트 블록과 보강된 이음부로 구성된 조립식 프리캐스트 콘크리트 아치의 단면 강도를 효과적으로 평가할 수 있을 것으로 판단된다.

• 대한토목학회논문집
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• 제14권2호
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• pp.269-279
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• 1994

본 논문은 콘크리트 구조물의 재료 비선형과 시간의존적 거동을 고려한 유한요소 해석에 관한 것으로 회전균열모델에 토대를 둔 면내균열모델을 사용하여 하중에 따른 균열의 영향을 모사하였으며 콘크리트는 직교이방성 거동을 한다고 가정하였다. 특히 휨거동 시의 인장보강효과(tension stiffening effect)를 고려하기 위해 파괴에너지 개념에 토대를 둔 한계식을 제안하였고 이를 통해 수치해석시 나타나는 유한요소의 크기에 따른 수치해석 오차의 최소화를 도모하였다. 또한 embedded model을 사용하여 철근의 거동을 모사할 경우 콘크리트의 변위장에 따라 효율적으로 대처할 수 있도록 구성방정식을 체계화 하였으며 비균열단면, 균열단면 등 여러 상황에서 구조물의 시간에 따른 거동을 살펴보기 위해 평면응력 상태에서 재령보정 탄성계수법에 따른 구성방정식을 유도하고 이를 토대로 예제해석을 수행하였다.

• 한국강구조학회 논문집
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• 제21권5호
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• pp.461-470
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• 2009

기둥은 축하중과 지진하중에 저항하는 주부재로서 구조물에서 가장 중요한 부재중의 하나이다. 이러한 기둥은 화재 시 고온에 의해 그 성능이 저하되어 전체 구조물계에 심각한 균열을 초래할 수 있으며, 구조물의 붕괴로도 이어질 수 있다. 본 연구에서는 새로운 형식의 기둥인 내부구속 중공 콘크리트 충전강관 기둥 (ICH CFT column; Internally Confined Hollow Concrete Filled Tube column)의 내화 성능이 연구되어져 있지 않기 때문에 건축물에 적용을 하여 기준에 맞는 기둥을 만들기 위해서는 내화 성능 평가가 필요하다. 본 기둥은 콘크리트 충전 강관 기둥 (CFT column; Concrete Filled Tube column)과 같이 외부 강관에 의해 콘크리트가 구속되어 기둥의 성능을 발휘하므로, 외부 강관의 항복 여부가 전체 기둥의 강도를 결정하게 될 것이다. 그래서 본 연구에서는 화재에 의한 기둥의 온도 변화에 따른 ICH CFT 기둥의 강도를 콘크리트의 구속효과와 재료비선형성을 고려하여 해석을 수행하였고, 또한 기둥의 중공비, 외부강관의 두께, 콘크리트의 강도를 매개 변수로 선정하여 기둥의 내화 성능을 평가하였으며, 해석에는 범용 프로그램과 전용 프로그램을 병행하여 사용하였다.