• Title/Summary/Keyword: computational mathematics

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Buckling load optimization of laminated plates resting on Pasternak foundation using TLBO

  • Topal, Umut;Vo-Duy, Trung;Dede, Tayfun;Nazarimofrad, Ebrahim
    • Structural Engineering and Mechanics
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    • v.67 no.6
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    • pp.617-628
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    • 2018
  • This paper deals with the maximization of the critical buckling load of simply supported antisymmetric angle-ply plates resting on Pasternak foundation subjected to compressive loads using teaching learning based optimization method (TLBO). The first order shear deformation theory is used to obtain governing equations of the laminated plate. In the present optimization problem, the objective function is to maximize the buckling load factor and the design variables are the fibre orientation angles in the layers. Computer programming is developed in the MATLAB environment to estimate optimum stacking sequences of laminated plates. A comparison also has been performed between the TLBO, genetic algorithm (GA) and differential evolution algorithm (DE). Some examples are solved to show the applicability and usefulness of the TLBO for maximizing the buckling load of the plate via finding optimum stacking sequences of the plate. Additionally, the influences of different number of layers, plate aspect ratios, foundation parameters and load ratios on the optimal solutions are investigated.

Comparison of dynamic behavior of shallow foundations based on pile and geosynthetic materials in fine-grained clayey soils

  • Shariati, Mahdi;Azar, Sadaf Mahmoudi;Arjomand, Mohammad-Ali;Tehrani, Hesam Salmani;Daei, Mojtaba;Safa, Maryam
    • Geomechanics and Engineering
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    • v.19 no.6
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    • pp.473-484
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    • 2019
  • In this paper, the geotechnical report of the Northern Fereshteh area in Tabriz is used and the characteristics of shallow foundation of a single pile and compared pile group and geogrid in terms of the settlement of a building foundation on clayey soil. Additionally, impacts of existing variables such as the number of geogrid layers, the length of the pile, and the depth of groundwater level affected by the dynamic load caused by the Taiwan Jiji earthquake via numerical analysis using PLAXIS software are examined. The results of fifty-four models indicated that the construction of a pile group with a diameter of 1 meter and a length of 14 meters significantly diminished the consolidation settlement of the soil in the Northern Fereshteh area, where the settlement value has been triggered by the load inflicted by earthquake. Moreover, the construction of four layers of geogrid at intervals of one meter led to a significant decrease in the settlement. Finally, after reaching a maximum depth, it had no reducing effects on the foundation settlement.

Strain rate effects on soil-geosynthetic interaction in fine-grained soil

  • Safa, Maryam;Maleka, Amin;Arjomand, Mohammad-Ali;Khorami, Masoud;Shariati, Mahdi
    • Geomechanics and Engineering
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    • v.19 no.6
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    • pp.533-542
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    • 2019
  • Geosynthetic reinforced soil method in coarse-grained soils has been widely used in last decades. Two effective factors on soil-geosynthetic interaction are confining stresses and loading rate in clay. In terms of methodology, one pull-out test with four different strain rates, namely 0.75, 1.25, 1.75 and 2.25 mm/min, and three different normal stresses equal to 20, 50, and 80 kg have been performed on specimens with dimensions of 30×30×17 cm in the saturated, consolidated condition. The obtained results have demonstrated that activation of geosynthetic strength at contact surface depends on the applied stress. In addition, the increase in normal stress would increase the shear strength at contact surface between clay and geogrid. Moreover, it is concluded that the strain rate increment would increase the shear strength.

A comparative analysis of sheeting die geometries using numerical simulations

  • Igali, Dastan;Wei, Dongming;Zhang, Dichuan;Perveen, Asma
    • Advances in Computational Design
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    • v.5 no.2
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    • pp.111-125
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    • 2020
  • The flow behavior of polymer melts within a slit die is an important consideration when designing a die geometry. The quality of the extruded polymer product can be determined through an evaluation of the flow homogeneity, wall shear rate and pressure drop across the central height of the die. However, mathematical formulations cannot fully determine the behavior of the flow due to the complex nature of fluid dynamics and the nonlinear physical properties of the polymer melts. This paper examines two slit die geometries in terms of outlet velocity uniformity, shear rate uniformity at the walls and pressure drop by using the licensed computational fluid dynamics package, Ansys POLYFLOW, based on the finite element method. The Carreau-Yasuda viscosity model was used for the rheological properties of the polypropylene. Comparative analysis of the simulation results will conclude that the modified die design performs better in all three aspects providing uniform exit velocity, uniform wall shear rates, and lower pressure drop.

Performance of composite frame consisting of steel beams and concrete filled tubes under fire loading

  • Shariati, Mahdi;Grayeli, Mohammad;Shariati, Ali;Naghipour, Morteza
    • Steel and Composite Structures
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    • v.36 no.5
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    • pp.587-602
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    • 2020
  • In recent years, the composite columns have been widely used in the structures. These columns are mainly used to construct the structures with a large span and high floor height. Concrete filled tubes (CFTs) are a type of composite column, which are popular nowadays due to their numerous benefits. The purpose of this study is to investigate such frames at elevated temperatures. The method used in this research is based on section 2.2 of Eurocode 4. First, for the verification purpose, a comparison was made between the experimental results and the numerical model of the concrete filled tube. Then a composite frame was analyzed under fire temperature with different parameters. The results showed that the failure time decreased with increasing the friction of different models. Moreover, investigation of the concrete moisture content revealed that an increase in the concrete moisture content from 3% to 10% led to extended failure time for different models. For instance, in the second frame model, the failure time has increased up to 8%.

Experimental study of the behavior of composite timber columns confined with hollow rectangular steel sections under compression

  • Razavian, Leila;Naghipour, Morteza;Shariati, Mahdi;Safa, Maryam
    • Structural Engineering and Mechanics
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    • v.74 no.1
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    • pp.145-156
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    • 2020
  • There are separate merits and demerits to wood and steel. The combination of wood and steel as a compound section is able to improve the properties of both and ultimately increase their final bearing capacity. The composite cross-section made of steel and wood has higher hardness while showing more ductility and the local buckling of steel is delayed or completely prevented. The purpose of this study is to investigate the behavior of composite columns enclosed in wooden logs and the hollow sections of steel that will be examined in a laboratory environment under the axial load to determine the final bearing capacity and sample deformation. In terms of methodology, steel sheet and carbon fiber reinforced polymer sheet (FRP) are tested to construct hollow rectangular sections and reinforce timber. Besides, the method of connecting hollow sections and timber including glue and screw has been also investigated. As a result, timber lumber enclosed with carbon fiber-reinforced polymer sheets in which fibers are horizontally located at 90° are more resistant with better ductility.

컴퓨터 表示 可能數에 관하여

  • 이기호
    • Communications of the Korean Institute of Information Scientists and Engineers
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    • v.1 no.1
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    • pp.75-79
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    • 1983
  • 現代 컴퓨터의 연산장치(Arithmetic unit)의 design을 하는데 있어서 가장 중요하게 요구점점되는 點은 계산의 속도(Computational speed)와 計算의 정확성 (Computational accuracy)이라고 보겠다. 여기서는 정보처리기(Information processor)로서 또는 非數理的인 연산(Non-numeric operation)을 위한 도구로서 보다는 數理的 연산(Arithmetic)을 수행하는 도구로서의 컴퓨터 연산에 限해서만 論하고자 한다. 대개의 경우 기계를 고안하는 사람들은 계사의 속도에 對해서는 특별한 관심을 갖고 그러한 목적에 맞는 기계를 만들어 낼려고 하지만 數値의 정 확성(Numerical accuracy)에 對해서ㅡ 등한시했던 경우가 많았다고 보겠다. 그러 나 이 두 條件 즉 빠른 속도 틀림없는 정확성을 同時에 충족 시키고자 하는 것이 기계 고안자들의 理想 목포가 되는 것은 사시링다. 여기에 수반도는 문제는 제작 비를 고려하지 않을 수 없다는 것이다. 정화하고 빠른 operation을 할 수 있는 기 계는 너무 비싼 제작비가 들기 때문에 사용목적에 적절하게 두 문제를 절충하여 고려하는 것이 일반적이라 하겠다. 初期의 컴퓨터는 한 Word(Computer Word)로 서 36개의 bit를 사용한 것이 많았다고 본다. 그러나 1961년 4月 Tennessee에서 Oak Riage National Laboratory와 The Society for Industril and Applied Mathematics 후원하에 일주일에 걸친 국제회의가 열렸었는데 거기 모인 거의 모 든 學者들이 앞으로의 과학 연구용 컴퓨터(Scientific Computer)의 한 Word의 길 이는 적어도 48bit 이상으로 증가시켜야 된다는데 의견을 모았었다고 한다. 이제 rounding error의 성향(begavior)을 알아보기 위한 간단한 例를 들어 봄으로써 이 글을 쓰는 동기으 일면을 대신하고자 한다.

Numerical Simulation of Welding Residual Stress Distribution on T-joint Fillet Structure

  • Hwang, Se-Yun;Lee, Jang-Hyun;Kim, Sung-Chan;Viswanathan, Kodakkal Kannan
    • International Journal of Ocean System Engineering
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    • v.2 no.2
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    • pp.82-91
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    • 2012
  • Fillet welding is widely used in the assembly of ships and offshore structures. The T-joint configuration is frequently reported to experience fatigue damage when a marine structure meets extreme loads such as storm loads. Fatigue damage is affected by the magnitude of residual stresses on the weld. Recently, many shipping registers and design guides have required that the fatigue strength assessment procedure of seagoing structures under wave-induced random loading and storm loading be compensated based on the effect of residual stresses. We propose a computational procedure to analyze the residual stresses in a T-joint. Residual stresses are measured by the X-ray diffraction (XRD) method, and a 3-D finite element analysis (FEA) is performed to obtain the residual stress profile in the T-joint. The proposed finite element model is validated by comparing experiments with computational results, and the characteristics of the residual stresses in the T-joint are discussed.

Monotonic behavior of C and L shaped angle shear connectors within steel-concrete composite beams: an experimental investigation

  • Shariati, Mahdi;Tahmasbi, Farzad;Mehrabi, Peyman;Bahadori, Alireza;Toghroli, Ali
    • Steel and Composite Structures
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    • v.35 no.2
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    • pp.237-247
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    • 2020
  • Shear connectors are essential elements in the design of steel-concrete composite systems. These connectors are utilized to prevent the occurrence of potential slips at the interface of steel and concrete. The two types of shear connectors which have been recently employed in construction projects are C- and L-shaped connectors. In the current study, the behavior of C and L-shaped angle shear connectors is investigated experimentally. For this purpose, eight push-out tests were composed and subjected to monotonic loading. The load-slip curves and failure modes have been determined. Also, the shear strength of the connectors has been compared with previously developed relationships. Two failure modes of shear connectors were observed: 1) concrete crushing-splitting and 2) shear connector fracture. It was found that the L-shaped connectors have less shear strength compared to C-shaped connectors, and decreasing the angle leg size increases the shear strength of the C-shaped connectors, but decreases the relative ductility and strength of L-shaped connectors.

Effect of progressive shear punch of a foundation on a reinforced concrete building behavior

  • Naghipour, Morteza;Niak, Kia Moghaddas;Shariati, Mahdi;Toghroli, Ali
    • Steel and Composite Structures
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    • v.35 no.2
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    • pp.279-294
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    • 2020
  • Foundation of a building is damaged under service loads during construction. First visit shows that the foundation has been punched at the 6 column's foot region led to building rotation. Foundation shear punching occurring has made some stresses and deflections in construction. In this study, progressing of damage caused by foundation shear punching and inverse loading in order to resolve the building rotation has been evaluated in the foundation and frame of building by finite element modeling in ABAQUS software. The stress values of bars in punched regions of foundation has been deeply exceeded from steel yielding strength and experienced large displacement based on software's results. On the other hand, the values of created stresses in the frame are not too big to make serious damage. In the beams and columns of ground floor, some partial cracks has been occurred and in other floors, the values of stresses are in the elastic zone of materials. Finally, by inverse loading to the frame, the horizontal displacement of floors has been resolved and the values of stresses in frame has been significantly reduced.