• International Journal of Naval Architecture and Ocean Engineering
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• 제4권3호
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• pp.313-321
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• 2012

Vibration analysis of a thin-walled structure can be performed with a consistent mass matrix determined by the shape functions of all degrees of freedom (d.o.f.) used for construction of conventional stiffness matrix, or with a lumped mass matrix. In similar way stability of a structure can be analysed with consistent geometric stiffness matrix or geometric stiffness matrix with lumped buckling load, related only to the rotational d.o.f. Recently, the simplified mass matrix is constructed employing shape functions of in-plane displacements for plate deflection. In this paper the same approach is used for construction of simplified geometric stiffness matrix. Beam element, and triangular and rectangular plate element are considered. Application of the new geometric stiffness is illustrated in the case of simply supported beam and square plate. The same problems are solved with consistent and lumped geometric stiffness matrix, and the obtained results are compared with the analytical solution. Also, a combination of simplified and lumped geometric stiffness matrix is analysed in order to increase accuracy of stability analysis.

• Structural Engineering and Mechanics
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• 제85권6호
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• pp.729-742
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• 2023

It is a recent attraction to the mechanical scientists to investigate state of wave propagation, buckling and vibration in the sport balls to observe the importance of different parameters on the performance of the players and the quality of game. Therefore, in the present study, we aim to investigate the wave propagation in handball game ball in term of mass of the ball and geometrical parameters wit incorporation of the viscoelastic effects of the ball material into account. In this regard, the ball is modeled using thick shell structure and classical elasticity models is utilized to obtain the equation of motion via Hamilton's principle. The displacement field of the ball model is obtained using first order shear deformation theory. The resultant equations are solved with the aid of generalized differential quadrature method. The results show that mass of the ball and viscoelastic coefficient have considerable influence on the state of wave propagation in the ball shell structure.

• Advances in Computational Design
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• 제8권4호
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• pp.327-351
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• 2023

This article explores how multi-objective optimization techniques can be used to design cost-effective and structurally optimal spatial steel structures, highlighting that optimizing performance can be as important as minimizing costs in real-world engineering problems. The study includes the minimization of maximum horizontal displacement, the maximization of the first natural frequency of vibration, the maximization of the critical load factor concerning the first global buckling mode of the structure, and weight minimization as the objectives. Additionally, it outlines a systematic approach to selecting the best design by employing four different evolutionary algorithms based on differential evolution and a multi-criteria decision-making methodology. The paper's contribution lies in its comprehensive consideration of multiple conflicting objectives and its novel approach to simultaneous consideration of bracing system, column orientation, and commercial profiles as design variables.

• Advances in materials Research
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• 제13권5호
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• pp.335-353
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• 2024

In the present paper, a simple quasi-3D integral higher-order beam theory (HBT) is presented, in which both shear deformation and thickness stretching effects are included for mechanical analysis of advanced composite beams with simply supported boundary conditions, handling mainly bending, buckling, and free vibration problems. The kinematics is based on a novel displacement field which includes the undetermined integral terms and the parabolic function is used in terms of thickness coordinate to represent the effect of transverse shear deformation. The governing equilibrium equations are drawn from the dynamic version of the principle of virtual work; whereas the solution of the problem is obtained by assuming a Navier technique for simply supported advanced composite beams subjected to sinusoidally and uniformly distributed loads. The correctness of the present computational method is checked by comparing the obtained numerical results with quasi-3D solutions found in the literature and with those provided by other shear deformation beam theories. It can be confirmed that the proposed model, which does not involve any shear correction factor, is not only accurate but also simple and useful in solving the static and dynamic response of advanced composite beams.

• Composites Research
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• 제29권6호
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• pp.358-362
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• 2016

원추형 복합재 튜브는 우주 항공, 비행체, 잠수함 등 큰 구조물뿐만 아니라 자전거 프레임, 낚시대, 골프채 등 레저용품에도 적용이 되면서 정적-동적 거동에서의 기계적 물성 예측의 중요한 연구 분야로 대두되고 있다. 일반적으로 원추형 복합재 튜브의 기계적 물성 예측은 진동, 굽힘, 좌굴에 관하여 많은 연구가 진행되었지만, 복합재료의 섬유 배향 각이 일정하다고 가정하고 기계적 거동을 분석한 것이 대부분이기 때문에 섬유 배향 각이 원추형 복합재 튜브 구조물의 기계적 물성에 어떠한 영향을 미치는지에 대한 연구가 필요하다. 이에 본 연구에서는 섬유 배향 각을 고려한 원추형 복합재료 튜브의 정적 거동에 따른 기계적 물성을 예측하기 위해 수식을 도출하고, 자전거 프레임에 적용하기 위한 다양한 설계 파라메터의 영향을 고찰하였다.

• Structural Engineering and Mechanics
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• 제4권5호
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• pp.553-568
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• 1996

Finite element stiffness matrix methods are presented for finding natural frequencies (or buckling loads) and modes of repetitive structures. The usual approximate finite element formulations are included, but more relevantly they also permit the use of 'exact finite elements', which account for distributed mass exactly by solving appropriate differential equations. A transcendental eigenvalue problem results, for which all the natural frequencies are found with certainty. The calculations are performed for a single repeating portion of a rotationally or linearly (in one, two or three directions) repetitive structure. The emphasis is on rotational periodicity, for which principal advantages include: any repeating portions can be connected together, not just adjacent ones; nodes can lie on, and members along, the axis of rotational periodicity; complex arithmetic is used for brevity of presentation and speed of computation; two types of rotationally periodic substructures can be used in a multi-level manner; multi-level non-periodic substructuring is permitted within the repeating portions of parent rotationally periodic structures or substructures and; all the substructuring is exact, i.e., the same answers are obtained whether or not substructuring is used. Numerical results are given for a rotationally periodic structure by using exact finite elements and two levels of rotationally periodic substructures. The solution time is about 500 times faster than if none of the rotational periodicity had been used. The solution time would have been about ten times faster still if the software used had included all the substructuring features presented.

• 한국항공우주학회지
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• 제37권2호
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• pp.201-208
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• 2009

최근 화석 연료가 고갈됨에 따라 대체 에너지 개발 연구가 활발히 진행되고 있다. 여러 대체 에너지들 중 풍력 발전시스템은 바람의 에너지를 전기적 에너지로 바꾸어 주는 시스템으로 매우 친환경적이기 때문에 다양하게 연구되고 있다. 따라서 본 연구에서 500W급 소형 풍력 발전용 블레이드의 개발을 통해 외국에 비하여 상대적으로 풍속이 낮은 국내와 같은 지역에 적용할 수 있는 블레이드 설계를 수행하였다. 본 논문에서는 피로수명을 고려한 고효율 경량화 블레이드의 공력설계 및 구조설계 방법이 제안되었으며, 구조해석으로 선형 정적해석, 좌굴해석, 진동모드해석이 수행되었다. 이론적 해석 결과를 입증하기 위하여 구조 시험 및 공력 성능 시험 결과 비교적 잘 일치하며 설계 요구 조건을 만족함을 확인하였다.

• Computers and Concrete
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• 제27권2호
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• pp.111-130
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• 2021

In the present work, an extensive study for predicting efficiency parameters (��i) of various simulated nanocomposites including Polymethyl methacrylate (PMMA) as matrix and different structures including various sizes of graphene platelets (GPLs), single, double, and multi-walled carbon nanotubes (SWCNTs-DWCNTs-MWCNTs), and single and double-walled boron nitride nanotubes (SWBNNTs-DWBNNTs) are investigated. It should be stated that GPLs, carbon and boron nitride nanotubes (CNTs, BNNT) with different chiralities (5, 0), (5, 5), (10, 0), and (10, 10) as reinforcements are considered. In this research, molecular dynamics (MDs) method with Materials studio software is applied to examine the mechanical properties (Young's modulus) of simulated nanocomposite boxes and calculate η1 of each nanocomposite boxes. Then, it is noteworthy that by changing length (6.252, 10.584, and 21.173 nm) and width (7.137, 10.515, and 19.936) of GPLs, ��1, ��2, and ��3 approximately becomes (0.101, 0.114, and 0.124), (1.15, 1.22, and 1.26), (1.04, 1.05, and 1.07) respectively. After that efficiency parameters of SWCNTs, DWCNTs, and MWCNTs are calculated and discussed separately. Finally efficiency parameters of SWBNNTs and DWBNNTs with different chiralities by PMMA as matrix are determined by MD and discussed separately. It is known that the accurate efficiency parameters helps a lot to calculate the properties of nanocomposite analytically. In particular, the obtained results from this research can be used for analytical work based on the extended rule of mixture (ERM) in bending, buckling and vibration analysis of structure in future study.

• Advances in concrete construction
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• 제11권1호
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• pp.81-88
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• 2021

Rice Husk Ash (RHA) geopolymer paste activated by sodium aluminate were characterized by X-ray diffractogram (XRD), scanning electron microscope (SEM), energy dispersion X-Ray analysis (EDAX)and fourier transform infrared spectroscopy (FTIR). Five series of RHA geopolymer specimens were prepared by varying the Si/Al ratio as 1.5, 2.0, 2.5, 3.0 and 3.5. The paper focuses on the correlation of microstructure with hardened state parameters like bulk density, apparent porosity, sorptivity, water absorption and compressive strength. XRD analysis peaks indicates quartz, cristobalite and gibbsite for raw RHA and new peaks corresponding to Zeolite A in geopolymer specimens. In general, SEM micrographs show interconnected pores and loosely packed geopolymer matrix except for specimens made with Si/Al of 2.0 which exhibited comparatively better matrix. Incorporation of Al from sodium aluminate were confirmed with the stretching and bending vibration of Si-O-Si and O-Si-O observations from the FTIR analysis of geopolymer specimen. The dense microstructure of SA2.0 correlate into better performance in terms of 28 days maximum compressive strength of 16.96 MPa and minimum for porosity, absorption and sorptivity among the specimens. However, due to the higher water demand to make the paste workable, the value of porosity, absorption and sorptivity were reportedly higher as compared with other geopolymer systems. Correlation regression equations were proposed to validate the interrelation between physical parameters and mechanical strength. RHA geopolymer shows comparatively lower compressive strength as compared to Fly ash geopolymer.

• Composites Research
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• 제22권1호
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• pp.22-31
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• 2009

최근 화석 연료가 고갈됨에 따라 대체 에너지 개발 연구가 활발히 진행되고 있다. 여러 대체 에너지들 중 풍력 발전기는 바람의 에너지를 전기적 에너지로 바꾸어 주는 시스템으로 매우 친환경적이기 때문에 다양하게 연구되고 있다. 따라서 본 연구의 목표는 500W급 소형 풍력 발전용 블레이드의 개발로서 외국에 비하여 상대적으로 풍속이 낮은 국내와 같은 지역에 적용할 수 있도록 설계 되어야 한다. 본 논문에서는 피로수명을 고려한 고효율 경량화 블레이드의 공력설계 및 구조설계 방법이 제안되었으며, 구조해석으로 선형 정적해석, 좌굴해석, 진동모드해석이 수행되었다. 또한 풍력 발전 시스템에 발생할 수 있는 유체충돌해석을 모사하였다. 해석결과들은 유압시험장비를 이용한 구조시험 빛 성능시험의 결과와 비교되었고, 비교적 잘 일치하여 설계결과의 안전성을 확인하였다.