• 제목/요약/키워드: Dynamic numerical analysis

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Lanczos알고리즘과 Ritz Vector를 이용한 Component Mode Method에 의한 거대구조물의 동적해석 (Dynamic Analysis of Large Structures by Component Mode Method using Lanczos Algorithm and Ritz Vector)

  • 심재수;황의승;박태현
    • 전산구조공학
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    • 제9권2호
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    • pp.115-120
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    • 1996
  • 구조물의 동적해석의 주된 관점은 적은 갯수의 모우드형상과 계산과정으로 적정정도의 해를 구하는 것이다. Component mode method는 부분구조물 기법을 이용하여 자유도를 줄이는 방법을 이용하였으나 동하중의 특성이 고려되지 않는 단점이 있으며 이를 보완하기 위한 Ritz Vector법은 많은 반복연산이 필요하며 오차가 가중되는 단점이 있다. 본 연구에서는 Component mode method의 효율성을 개선시키고자 기존의 장점을 유지하면서 직접적분과정에서의 계산량을 현저히 줄일 수 있는 Lanczos 알고리즘을 도입하였다. 이 방법의 효율성을 검증하기 위하여 예제구조물을 해석하여 SAP90의 결과와 비교하였다.

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조석현상이 방조제 경계면의 응력-변형 거동에 미치는 영향 분석 (The Analysis of Tidal Effect on Stress-Strain Behavior in the Boundary Surface of Sea Dike Embankment)

  • 임성훈
    • 한국농공학회논문집
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    • 제55권2호
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    • pp.1-8
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    • 2013
  • This study was performed for the purpose of analyzing the effect of tide on the stress-strain behavior in the boundary surface of sea dike embankment. Tide is a dynamic condition, but there are not suitable numerical models to solve the dynamic embankment condition caused by tide. So the analysis was simplified to quasi dynamic as follow. First, seepage by tide was analyzed according to elapsed time, and the results of the analysis at every hour during one periodic cycle time of 12 hours were applied to the pore water pressure conditions of stress-strain analysis with hyperbolic model by Duncan and Chang. The place at which maximum shear strain took place in the analysis result moved up and down repeatedly along the boundary of the dredged sand fill section and the crashed stone filter section. The value of maximum shear strain was large at high water level of tide. This result means that contraction and relaxation occur in turn repeatedly at every specific position along the boundary, and the repeated action compact loose position with sand moved down from the upper position by gravity. The experiment with the small sea dike model showed the result consistent with the numerical analysis. The surface of sea side on the dike collapsed at high water level after a couple of repetition of the rising and falling of water.

Using integrated displacement method to time-history analysis of steel frames with nonlinear flexible connections

  • Hadianfard, M.A.
    • Structural Engineering and Mechanics
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    • 제41권5호
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    • pp.675-689
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    • 2012
  • Most connections of steel structures exhibit flexible behaviour under cyclic loading. The flexible connections can be assumed as nonlinear rotational springs attached to the ends of each beam. The nonlinear behaviour of the connections can be considered by suitable moment-rotation relationship. Time-history analysis by direct integration method can be used as a powerful technique to determine the nonlinear dynamic response of the structure. In conventional numerical integration, the response is evaluated for a series of short time increments. The limitations on the size of time intervals can be removed by using Chen and Robinson improved time history analysis method, in which the integrated displacements are used as the new variables in integrated equation of motion. The proposed method permits longer time intervals and reduces the computational works. In this paper the nonlinearity behaviour of the structure is summarized on the connections, and the step by step improved time-history analysis is used to calculate the dynamic response of the structure. Several numerical calculations which indicate the applicability and advantages of the proposed methodology are presented. These calculations illustrate the importance of the effect of the nonlinear behaviour of the flexible connections in the calculation of the dynamic response of steel frames.

Dynamic analysis of buildings considering the effect of masonry infills in the global structural stiffness

  • de Souza Bastos, Leonardo;Guerrero, Carolina Andrea Sanchez;Barile, Alan;da Silva, Jose Guilherme Santos
    • Coupled systems mechanics
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    • 제8권2호
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    • pp.169-184
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    • 2019
  • This research work presents a study that aims to assess the dynamic structural behaviour and also investigate the human comfort levels of a reinforced concrete building, when subjected to nondeterministic wind dynamic loadings, considering the effect of masonry infills on the global stiffness of the structural model. In general, the masonry fills most of the empty areas within the structural frames of the buildings. Although these masonry infills present structural stiffness, the common practice of engineers is to adopt them as static loads, disregarding the effect of the masonry infills on the global stiffness of the structural system. This way, in this study a numerical model based on sixteen-storey reinforced concrete building with 48 m high and dimensions of $14.20m{\times}15m$ was analysed. This way, static, modal and dynamic analyses were carried out in order to simulate the structural model based on two different strategies: no masonry infills and masonry infills simulated by shell finite elements. In this investigation, the wind action is considered as a nondeterministic process with unstable properties and also random characteristics. The fluctuating parcel of the wind is decomposed into a finite number of harmonic functions proportional to the structure resonant frequency with phase angles randomly determined. The nondeterministic dynamic analysis clearly demonstrates the relevance of a more realistic numerical modelling of the masonry infills, due to the modifications on the global structural stiffness of the building. The maximum displacements and peak accelerations values were reduced when the effect of the masonry infills (structural stiffness) were considered in the dynamic analysis. Finally, it can be concluded that the human comfort evaluation of the sixteen-storey reinforced concrete building can be altered in a favourable way to design.

Dynamic response of railway bridges traversed simultaneously by opposing moving trains

  • Rezvani, Mohammad Ali;Vesali, Farzad;Eghbali, Atefeh
    • Structural Engineering and Mechanics
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    • 제46권5호
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    • pp.713-734
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    • 2013
  • Bridges are vital components of the railroads. High speed of travel, the periodic and oscillatory nature of the loads and the comparable vehicle bridge weight ratio distinguish the railway bridges from the road bridges. The close proximity between estimations by some numerical methods and the measured data for the bridge-vehicle dynamic response under the moving load conditions has boosted the confidence in the numerical analyses. However, there is hardly any report regarding the responses of the railway bridges under the effect of the trains entering from the opposite directions while running at unequal speed and having dissimilar geometries. It is the purpose of this article to present an analytical method for the dynamic analysis of the railway bridges under the influence of two opposing series of moving loads. The bridge structural damping and many modes of vibrations are included. The concept of modal superposition is used to solve for the system motion equations. The method of solution is indeed a computer assisted analytical solution. It solves for the system motion equations and gives output in terms of the bridge deflection. Some case studies are also considered for the validation of the proposed method. Furthermore, the effects of varying some parameters such as the distance between the bogies, and the bogie wheelset distance are studied. Also, the conditions of resonance and cancellation in the dynamic response for a variety of vehicle-bridge specifications are investigated.

Seismic analysis in pad concrete foundation reinforced by nanoparticles covered by smart layer utilizing plate higher order theory

  • Taherifar, Reza;Zareei, Seyed Alireza;Bidgoli, Mahmood Rabani;Kolahchi, Reza
    • Steel and Composite Structures
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    • 제37권1호
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    • pp.99-115
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    • 2020
  • This article deals with the dynamic analysis in pad concrete foundation containing Silica nanoparticles (SiO2) subject to seismic load. In order to control the foundation smartly, a piezoelectric layer covered the foundation. The weight of the building by a column on the foundation is assumed with an external force in the middle of the structure. The foundation is located in soil medium which is modeled by spring elements. The Mori-Tanaka law is utilized for calculating the equivalent mechanical characteristics of the concrete foundation. The Kevin-Voigt model is adopted to take into account the structural damping. The concrete structure is modeled by a thick plate and the governing equations are deduced using Hamilton's principle under the assumption of higher-order shear deformation theory (HSDT). The differential quadrature method (DQM) and the Newmark method are applied to obtain the seismic response. The effects of the applied voltage to the smart layer, agglomeration and volume percent of SiO2 nanoparticles, damping of the structure, geometrical parameters and soil medium of the structure are assessed on the dynamic response. It has been demonstrated by the numerical results that by applying a negative voltage, the dynamic deflection is reduced significantly. Moreover, silica nanoparticles reduce the dynamic deflection of the concrete foundation.

Forced vibration of a functionally graded porous beam resting on viscoelastic foundation

  • Alnujaie, Ali;Akbas, Seref D.;Eltaher, Mohamed A.;Assie, Amr
    • Geomechanics and Engineering
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    • 제24권1호
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    • pp.91-103
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    • 2021
  • This paper concerns with forced dynamic response of thick functionally graded (FG) beam resting on viscoelastic foundation including porosity impacts. The dynamic point load is proposed to be triangle point loads in time domain. In current analysis the beam is assumed to be thick, therefore, the two-dimensional plane stress constitutive equation is proposed to govern the stress-strain relationship through the thickness. The porosity and void included in constituent is described by three different distribution models through the beam thickness. The governing equations are obtained by using Lagrange's equations and solved by finite element method. In frame of finite element analysis, twelve-node 2D plane element is exploited to discretize the space domain of beam. In the solution of the dynamic problem, Newmark average acceleration method is used. In the numerical results, effects of porosity coefficient, porosity distribution and foundation parameters on the dynamic responses of functionally graded viscoelastic beam are presented and discussed. The current model is efficient in many applications used porous FGM, such as aerospace, nuclear, power plane sheller, and marine structures.

Nonlinear Seismic Analysis of U-Shaped Cantilever Retaining Structures

  • Sadiq, Shamsher;Park, Duhee;Yoo, Jinkwon;Yoon, Jinam;Kim, Juhyung
    • 한국지반환경공학회 논문집
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    • 제18권11호
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    • pp.27-33
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    • 2017
  • Nonlinear dynamic analysis is performed to calculate the response of U-shaped cantilever retaining structure under seismic loading using the finite element (FE) analysis program OpenSees. A particular interest of the study is to evaluate whether the moment demand in the cantilever can be accurately predicted, because it is an important component in the seismic design. The numerical model is validated against a centrifuge test that was performed on cantilever walls with dry medium dense sand in backfill. Seismic analysis is performed using the pressure-dependent, multi-yield-surface, plasticity based soil constitutive model implemented in OpenSees. Normal springs are used to simulate the soil-structure interface. Comparison with centrifuge show that FE analysis provides good estimates of both the acceleration response and bending moment. The lateral earth pressure near the bottom of the wall is overestimated in the numerical model, but this does not contribute to a higher prediction of the moment.

인장계류식 해양구조물의 동적응답해석(II) (A dynamic response Analysis of Tension Leg Platforms in Waves (II))

  • 구자삼;박찬후;이창호
    • 한국해양공학회지
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    • 제10권1호
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    • pp.25-35
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    • 1996
  • A numerical procedure is described for predicting the motion and structural responses of tension leg platforms(TLPs) in waves. The developed numerical approach is based on a combination of a three dimensional source distribution method and the dynamic response analysis method, in which the superstructure of TLPs is assumed to be flexible instead of rigid. Restoring forces by hydrostatic pressure on the submerged surface of a TLP have been accurately calculated by excluding the assumption of the slender body theory. The hydrodynamic interactions among TLP members, such as columns and pontoons, and the structural damping are included in the motion and structural analysis. The equations of motion of a whole structure are formulated using element-fixed coordinate systems which have the orgin at the nodes of the each hull element and move parallel to a space-fixed coordinate system. Numerical results are compared with the experimental and numerical ones, which are obtained in the literature, concerning the motion and structural responses of a TLP in waves. The results of comparison confirmed the validity of the proposed approach.

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기어이의 변동물림강성을 고려한 비틀림진동해석 (Torsional Vibration Analysis of a Spur Gear Pair with the Variable Mesh Stiffness)

  • 류재완;한동철;최상현
    • 한국정밀공학회지
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    • 제16권12호
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    • pp.99-108
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    • 1999
  • A four-degree-of-freedom non-linear model with time varying mesh stiffness has been developed for the dynamic analysis of spur gear trains. The model includes a spur gear pair, two shafts, two inertias representing load and prime mover. In the model, developed several factors such as time varying mesh stiffness and damping, separation of teeth, teeth collision, various gear errors and profile modifications have been considered. Two computer programs are developed to calculate stiffness of a gear pair and transmission error and the dynamic analysis of modeled system using time integration method. Dynamic tooth and mesh forces, dynamic factors are calculated. Numerical examples have been given, which shows the time varying mesh stiffness ha a significant effect upon the dynamic tooth force and torsional vibrations.

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