• Title/Summary/Keyword: Force-velocity relation

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Simplified elastic design checks for torsionally balanced and unbalanced low-medium rise buildings in lower seismicity regions

  • Lam, Nelson T.K.;Wilson, John L.;Lumantarna, Elisa
    • Earthquakes and Structures
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    • v.11 no.5
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    • pp.741-777
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    • 2016
  • A simplified approach of assessing torsionally balanced (TB) and torsionally unbalanced (TU) low-medium rise buildings of up to 30 m in height is presented in this paper for regions of low-to-moderate seismicity. The Generalised Force Method of Analysis for TB buildings which is illustrated in the early part of the paper involves calculation of the deflection profile of the building in a 2D analysis in order that a capacity diagram can be constructed to intercept with the acceleration-displacement response spectrum diagram representing seismic actions. This approach of calculation on the planar model of a building which involves applying lateral forces to the building (waiving away the need of a dynamic analysis and yet obtaining similar results) has been adapted for determining the deflection behaviour of a TU building in the later part of the paper. Another key original contribution to knowledge is taking into account the strong dependence of the torsional response behaviour of the building on the periodic properties of the applied excitations in relation to the natural periods of vibration of the building. Many of the trends presented are not reflected in provisions of major codes of practices for the seismic design of buildings. The deflection behaviour of the building in response to displacement controlled (DC) excitations is in stark contrast to behaviour in acceleration controlled (AC), or velocity controlled (VC), conditions, and is much easier to generalise. Although DC conditions are rare with buildings not exceeding 30 m in height displacement estimates based on such conditions can be taken as upper bound estimates in order that a conservative prediction of the displacement profile at the edge of a TU building can be obtained conveniently by the use of a constant amplification factor to scale results from planar analysis.

Resonance analysis of cantilever porous graphene platelet reinforced pipe under external load

  • Huang, Qinghua;Yu, Xinping;Lv, Jun;Zhou, Jilie;Elvenia, Marischa Ray
    • Steel and Composite Structures
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    • v.45 no.3
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    • pp.409-423
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    • 2022
  • Nowadays, there is a high demand for great structural implementation and multifunctionality with excellent mechanical properties. The porous structures reinforced by graphene platelets (GPLs) having valuable properties, such as heat resistance, lightweight, and excellent energy absorption, have been considerably used in different engineering implementations. However, stiffness of porous structures reduces significantly, due to the internal cavities, by adding GPLs into porous medium, effective mechanical properties of the porous structure considerably enhance. This paper is relating to vibration analysis of fluidconveying cantilever porous graphene platelet reinforced (GPLR) pipe with fractional viscoelastic model resting on foundations. A dynamical model of cantilever porous GPLR pipes conveying fluid and resting on a foundation is proposed, and the vibration, natural frequencies and primary resonant of such a system are explored. The pipe body is considered to be composed of GPLR viscoelastic polymeric pipe with porosity in which Halpin-Tsai scheme in conjunction with the fractional viscoelastic model is used to govern the construction relation of nanocomposite pipe. Three different porosity distributions through the pipe thickness are introduced. The harmonic concentrated force is also applied to the pipe and the excitation frequency is close to the first natural frequency. The governing equation for transverse motions of the pipe is derived by the Hamilton principle and then discretized by the Galerkin procedure. In order to obtain the frequency-response equation, the differential equation is solved with the assumption of small displacement, damping coefficient, and excitation amplitude by the multiple scale method. A parametric sensitivity analysis is carried out to reveal the influence of different parameters, such as nanocomposite pipe properties, fluid velocity and nonlinear viscoelastic foundation coefficients, on the primary resonance and linear natural frequency. Results indicate that the GPLs weight fraction porosity coefficient, fractional derivative order and the retardation time have substantial influences on the dynamic response of the system.

Nonlinear vibration analysis of fluid-conveying cantilever graphene platelet reinforced pipe

  • Bashar Mahmood Ali;Mehmet AKKAS;Aybaba HANCERLIOGULLARI;Nasrin Bohlooli
    • Steel and Composite Structures
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    • v.50 no.2
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    • pp.201-216
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    • 2024
  • This paper is motivated by the lack of studies relating to vibration and nonlinear resonance of fluid-conveying cantilever porous GPLR pipes with fractional viscoelastic model resting on nonlinear foundations. A dynamical model of cantilever porous Graphene Platelet Reinforced (GPLR) pipes conveying fluid and resting on nonlinear foundation is proposed, and the vibration, natural frequencies and primary resonant of such system are explored. The pipe body is considered to be composed of GPLR viscoelastic polymeric pipe with porosity in which Halpin-Tsai scheme in conjunction with fractional viscoelastic model is used to govern the construction relation of the nanocomposite pipe. Three different porosity distributions through the pipe thickness are introduced. The harmonic concentrated force is also applied on pipe and excitation frequency is close to the first natural frequency. The governing equation for transverse motion of the pipe is derived by the Hamilton principle and then discretized by the Galerkin procedure. In order to obtain the frequency-response equation, the differential equation is solved with the assumption of small displacement, damping coefficient, and excitation amplitude by the multiple scale method. A parametric sensitivity analysis is carried out to reveal the influence of different parameters, such as nanocomposite pipe properties, fluid velocity and nonlinear viscoelastic foundation coefficients, on the primary resonance and linear natural frequency. Results indicate that the GPLs weight fraction porosity coefficient, fractional derivative order and the retardation time have substantial influences on the dynamic response of the system.

The Prediction and Analysis of Bed Changes Characteristics in the Seomjin River Downstream (섬진강 하류의 하상변동 특성 분석 및 예측)

  • Ceon, Ir-Kweon;Kim, Min-Hwan
    • Journal of the Korean Society of Hazard Mitigation
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    • v.9 no.1
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    • pp.115-121
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    • 2009
  • It is to use effectively for stream channel and watershed management as the prediction and the analysis of bed changes characteristics in the Seomjin river downstream. The necessary data (section, bed composition material, pivot point water elevation, coefficient of roughness) with regard to analysis of the bed changes characteristics were based upon the survey data and analysis results in the Seomjin river maintenance basic plan. The prediction of bed changes was also completed with HEC-6 model. The study results were summarized as follows: The main factor of bed changes in the Seomjin river downstream can be decided by extreme extraction of bed aggregate rather than the change of hydrological data. According to the analysis of bed stability based on the relation between friction velocity and representative grain size, and the relation between dimensionless tractive force and representative grain size, the Seomjin river downstream appears to be increased overall. The bed composition material in the stream channel of the Seomjin river of 2003 year shows higher composition rate of gravel and lower composition rate of sand as compared to those of 1989 year. According to result that the prediction of bed changes, it is estimated that the bed will be risen approximately 1.5 m to the place up to 9 km from the estuary, have been repetitively risen and fallen up to 1 m to the place between $9{\sim}21\;km$ section, and fallen about 0.5m to the place between $22{\sim}25\;km$ section. As a result, the bed of the Seomjin river downstream can be decided to be risen gradually. However, since the prediction of this study is based on the assumption that there will be no forced aggregate picking, the bed changes can be much greater than expected when there is a massive aggregate picking as it had happened before.

An Experimental and Numerical Study on the Survivability of a Long Pipe-Type Buoy Structure in Waves (긴 파이프로 이뤄진 세장형 부이 구조물의 파랑 중 생존성에 관한 모형시험 및 수치해석 연구)

  • Kwon, Yong-Ju;Nam, Bo-Woo;Kim, Nam-Woo;Park, In-Bo;Kim, Sea-Moon
    • Journal of Navigation and Port Research
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    • v.42 no.6
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    • pp.427-436
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    • 2018
  • In this study, experimental and numerical analysis were performed on the survivability of a long pipe-type buoy structure in waves. The buoy structure is an articulated tower consisting of an upper structure, buoyancy module, and gravity anchor with long pipes forming the base frame. A series of experiment were performed in the ocean engineering basin of KRISO with the scaled model of 1/ 22 to evaluate the survivability of the buoy structure at West Sea in South Korea. Survival condition was considered as the wave of 50 year return period. Additional experiments were performed to investigate the effects of current and wave period. The factors considered for the evaluation of the buoy's survival were the pitch angle of the structure, anchor reaction force, and the number of submergence of the upper structure. Numerical simulations were carried out with the OrcaFlex, the commercial program for the mooring analysis, with the aim of performing mutual validation with the experimental results. Based on the evaluation, the behavior characteristics of the buoy structure were first examined according to the tidal conditions. The changes were investigated for the pitch angle and anchor reaction force at HAT and LAT conditions, and the results directly compared with those obtained from numerical simulation. Secondly, the response characteristics of the buoy structure were studied depending on the wave period and the presence of current velocity. Third, the number of submergence through video analysis was compared with the simulation results in relation to the submergence of the upper structure. Finally, the simulation results for structural responses which were not directly measured in the experiment were presented, and the structural safety discussed in the survival waves. Through a series of survivability evaluation studies, the behavior characteristics of the buoy structure were examined in survival waves. The vulnerability and utility of the buoy structure were investigated through the sensitivity studies of waves, current, and tides.