• Earthquakes and Structures
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• 제7권2호
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• pp.119-139
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• 2014

A new method is proposed for random vibration anaylsis of hysteretic systems subjected to non-stationary random excitations. With the Bouc-Wen model, motion equations of hysteretic systems are first transformed into quasi-linear equations by applying the concept of equivalent excitations and decoupling of the real and hysteretic displacements, and the derived equation system can be solved by either the precise time integration or the Newmark-${\beta}$ integration method. Combining the numerical solution of the auxiliary differential equation for hysteretic displacements, an explicit iteration algorithm is then developed for the dynamic response analysis of hysteretic systems. Because the computational cost for a large number of deterministic analyses of hysteretic systems can be significantly reduced, Monte-Carlo simulation using the explicit iteration algorithm is now viable, and statistical characteristics of the non-stationary random responses of a hysteretic system can be obtained. Numerical examples are presented to show the accuracy and efficiency of the present approach.

• Structural Engineering and Mechanics
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• 제46권1호
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• pp.75-90
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• 2013

In order to identify damage of highway bridges rapidly, a method for damage identification using dynamic response of bridge induced by moving vehicle and static test data is proposed. To locate damage of the structure, displacement energy damage index defined from the energy of the displacement response time history is adopted as the indicator. The displacement response time histories of bridge structure are obtained from simulation of vehicle-bridge coupled vibration analysis. The vehicle model is considered as a four-degree-of-freedom system, and the vibration equations of the vehicle model are deduced based on the D'Alembert principle. Finite element method is used to discretize bridge and finite element model is set up. According to the condition of displacement and force compatibility between vehicle and bridge, the vibration equations of the vehicle and bridge models are coupled. A Newmark-${\beta}$ algorithm based professional procedure VBAP is developed in MATLAB, and used to analyze the vehicle-bridge system coupled vibration. After damage is located by employing the displacement energy damage index, the damage extent is estimated through the least-square-method based model updating using static test data. At last, taking one simply supported bridge as an illustrative example, some damage scenarios are identified using the proposed damage identification methodology. The results indicate that the proposed method is efficient for damage localization and damage extent estimation.

• Wind and Structures
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• 제20권3호
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• pp.423-448
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• 2015

In this paper the unsteady fluid-structure interaction (FSI) problems with large structural displacement are solved by partitioned solution approaches in the arbitrary Lagrangian-Eulerian finite element framework. The incompressible Navier-Stokes equations are solved by the characteristic-based split (CBS) scheme. Both a rigid body and a geometrically nonlinear solid are considered as the structural models. The latter is solved by Newton-Raphson procedure. The equation governing the structural motion is advanced by Newmark-${\beta}$ method in time. The dynamic mesh is updated by using moving submesh approach that cooperates with the ortho-semi-torsional spring analogy method. A mass source term (MST) is introduced into the CBS scheme to satisfy geometric conservation law. Three partitioned coupling strategies are developed to take FSI into account, involving the explicit, implicit and semi-implicit schemes. The semi-implicit scheme is a mixture of the explicit and implicit coupling schemes due to the fluid projection splitting. In this scheme MST is renewed for interfacial elements. Fixed-point algorithm with Aitken's ${\Delta}^2$ method is carried out to couple different solvers within the implicit and semi-implicit schemes. Flow-induced vibrations of a bridge deck and a flexible cantilever behind an obstacle are analyzed to test the performance of the proposed methods. The overall numerical results agree well with the existing data, demonstrating the validity and applicability of the present approaches.

• Structural Engineering and Mechanics
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• 제33권3호
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• pp.373-385
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• 2009

The purpose of this paper is to study shear locking-free parametric earthquake analysis of thick and thin plates using Mindlin's theory, to determine the effects of the thickness/span ratio, the aspect ratio and the boundary conditions on the linear responses of thick and thin plates subjected to earthquake excitations. In the analysis, finite element method is used for spatial integration and the Newmark-${\beta}$ method is used for the time integration. Finite element formulation of the equations of the thick plate theory is derived by using higher order displacement shape functions. A computer program using finite element method is coded in C++ to analyze the plates clamped or simply supported along all four edges. In the analysis, 17-noded finite element is used. Graphs are presented that should help engineers in the design of thick plates subjected to earthquake excitations. It is concluded that 17-noded finite element can be effectively used in the earthquake analysis of thick and thin plates. It is also concluded that, in general, the changes in the thickness/span ratio are more effective on the maximum responses considered in this study than the changes in the aspect ratio.

• 한국항해항만학회지
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• 제34권3호
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• pp.195-203
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• 2010

본 논문은 통합채광시스템의 동력학 해석을 다루고 있다. 통합채광시스템은 채광선, 수직양광관, 중간 저장 장소인 버퍼, 유연관, 자항식집광기로 구성되어 있다. 자항식집광기와 버퍼는 6자유도의 강체로 가정하였으며, 수직양광관과 유연관의 동적거동 해석을 위해 집중질량 매개방법을 이용한 이산화 모델을 적용하였다. 채광선에 대한 운동은 포함시키지 않았지만 경계조건을 통하여 채광선의 움직임을 표현하였다. 연약한 해저면을 주행하는 차량에는 연약지반 역학 모델을 적용시켰다. 수직양광관-버퍼, 버퍼-유연관, 유연관-자항식집광기의 연결에는 회전구속과 볼 구속조건을 사용하였다. 연성 동력학 모델의 운동방정식을 유도하기 위해 국부좌표계를 사용하였으며, 4개의 오일러 매개변수를 사용하여 각 시스템의 자세를 표현하였다. 통합 채광시스템의 운동 방정식 해를 구하기 위해서 증분-반복법을 적용하였으며, 시간영역 적분기는 newmark-${\beta}$를 사용하였다. 통합 채광시스템의 동적 거동 해석을 수치해석을 통해 분석하였다.

• 한국철도학회:학술대회논문집
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• 한국철도학회 2003년도 춘계학술대회 논문집
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• pp.376-381
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• 2003

This study is focused on the dynamic response of curved bridge when the rubber tired AGT vehicles is running with alternative articulations. For the analytic approach, there is necessary for the three dimensional vehicle model with 11 degree of freedom and the three dimensional curved bridge model by means of finite element method. It can be described by conventional Lagrangian formula with respect to the dynamic interactions between vehicles and its met bridge. The formula is implemented by Fortran language on the simulation program designated BADIA II(Bridge-AGT Dynamic Interaction Analysis II). The solutions of the formula are derived by Newmark- ${\beta}$ method. The BADIA II is for the dynamic interactions between vehicle and curved bridge in terms of the roughness of running surface and guide rail. The applicability of the BADIA II is verified in terms of displacement and modal frequency. This study is described that the dynamic interactive behaviors between the rubber tired AGT vehicle and curved bridge in terms of the radius of curvatures of curved bridge, vehicle articulations, vehicle speeds, vehicle weights, flatness of running surface and roughness of guide rail using BADIA II.

• 한국소음진동공학회논문집
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• 제20권7호
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• pp.677-684
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• 2010

Backlashes of gears provide gears for good lubrication and for removal of the interference between teeth by the wear and manufacturing errors. The backlash is the strong nonlinear factor to gears. This study deals with nonlinear modeling of helical gears with backlash. Excitation of helical gears comes from torque variation, the tooth surface error, and the periodical change of mesh stiffness. To study the effect of torque fluctuation, equation of motion for the single degree of freedom torsional model of helical gears with the periodical change of mesh stiffness and the backlash was derived. The Newmark beta method and the Newton-Raphson method were used to obtain the nonlinear behaviors of mesh forces of helical gears. All excitation frequencies initially caused the tooth separation and single-sided impacts of the gear pair and eventually led to the normal tooth contact. However, some special excitation frequencies caused the single-sided impacts in the entire time as well as the initial time. Damping increase reduced the duration of single-sided impacts, and the backlash increase caused those in the entire time domain.

• Advances in nano research
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• 제14권4호
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• pp.335-353
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• 2023

The possibility of energy harvesting as well as controlled vibration of a three-layered beam consisting of two piezoelectric layer and one core layer made of nonpiezoelectric material is investigated using paradox-free local/nonlocal theory. The three-layered nanobeam is resting on an elastic foundation and subjected to a blast load. Also, the core layer is made of Nano-composites reinforced by CNTs and carbon fibers (MHCD). Governing equations as well as boundary conditions are obtained using Hamilton,s principle. The equations discretized by Generalized Differential Quadrature Method (GDQM) and solved by Newmark beta method. In addition, two differential and integral gains are employed for controlling the forced vibration. The size-dependency of the elastic foundation is considered using two-phase elasticity. The effect of elastic foundation, control gains, nonlocal factor, as well as parameters affecting the core material on the forced vibration and energy harvesting is investigated in detail. The equations as well as solution procedure is validated utilizing some compassion studies. This work can be a basis for future studies on energy harvesting and controlled vibration in small scales.

• 대한토목학회논문집
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• 제14권5호
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• pp.1055-1067
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• 1994

본 연구에서는 교량과 차량을 3차원으로 모델링하고, 교량의 노면조도 및 교량과 차량 사이의 상호작용력을 고려하여 이동차량이 교량올 통과할 때 교량의 선형 동적해석을 수행할 수 있는 해석방법을 제시하였다. 교량의 노면조도는 평균값이 영인 정상확율분포로 가정한 지수 스팩트럴 밀도(PSD)를 사용하여 생성시켰다. 이 때 지수 스팩트럴 밀도는 양호한 도로에 대하여 C.J. Dodds와 J.D. Robson이 제안한 PSD값을 사용하였다. 차량은 트럭과 트랙터-트레일러를 각각 7-자유도와 12-자유도를 갖는 3차원차량으로 모델링하였고, 차량의 운동방정식은 Lagrange 방정식을 사용하여 유도하였다. 교량은 주형을 보요소로 이상화시키고 콘크리트 바닥판을 쉘요소로 이상화시켰으며 주형과 콘크리트 바닥판을 Rigid Link로 연결하여 3차원으로 모델링하였다. 차량의 운동방정식은 Newmark ${\beta}$법을 사용하고 교량의 운동방정식은 모우드 중첩법을 사용하여 풀었다. 본 연구에서 제시한 해석방법의 타당성을 검토하기 위하여 "AASHO Road Test"에서 실시한 단순 강합성교의 실험결과와 본 연구에서 제시한 해석적인 방법으로 구한 값을 비교하였다. 해석 결과, 본 연구에서 제시한 해석적인 방법으로 구한 값과 실험값이 매우 잘 일치하였다.

• 한국구조물진단유지관리공학회 논문집
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• 제15권4호
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• pp.204-211
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• 2011

고속철 교량의 동적응답을 보다 정밀하게 해석하기 위한 동적해석방법을 개발하였다. 차후 증가될 초고속(450km/h)을 포함하여 고속 주행하는 KTX 동력차에 의한 교량의 동적거동을 면밀한 속도변수분석과 정밀한 해석을 위한 고속철, 교량 그리고 궤도구조물의 상호작용을 포함한 수치모델을 구성하였다. 네 가지 40~25미터 단순지간의 PSC 박스교를 3차원 유한 프레임요소 모델로 개발하였다. 스펙트럼밀도함수로 산출된 궤도불규칙값과 궤도간 상이한 거리차이를 수치모델화 하였다. 고속철차량은 (KTX) 38자유도로 구성하였다. 38자유도 모델은 3방향 변위와 상응하는 회전각을 고려하였다. 동적증폭계수는 다양한 불규칙 궤도, 켐버, 주행속도, 자갈도상과 같은 주행조건에 의해 결정된다. 이와 같은 동적증폭계수를 해석하기위한 Newmark-${\beta}$ 기법과 Runge-Kutta기법을 적용하여 고속철 속도별과 경간별로 면밀하게 비교 분석하였다.