• Structural Engineering and Mechanics
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• 제15권6호
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• pp.717-733
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• 2003

A time domain method is presented for soil-structure interaction analysis under seismic excitations. It is based on the finite element formulation incorporating infinite elements for the far field soil region. Equivalent earthquake input forces are calculated based on the free field responses along the interface between the near and far field soil regions utilizing the fixed exterior boundary method in the frequency domain. Then, the input forces are transformed into the time domain by using inverse Fourier transform. The dynamic stiffness matrices of the far field soil region formulated using the analytical frequency-dependent infinite elements in the frequency domain can be easily transformed into the corresponding matrices in the time domain. Hence, the response can be analytically computed in the time domain. A recursive procedure is proposed to compute the interaction forces along the interface and the responses of the soil-structure system in the time domain. Earthquake response analyses have been carried out on a multi-layered half-space and a tunnel embedded in a layered half-space with the assumption of the linearity of the near and far field soil region, and results are compared with those obtained by the conventional method in the frequency domain.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1999년도 봄 학술발표회 논문집
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• pp.121-128
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• 1999

This paper presents a time domain method for soil-structure interaction analysis for seismic loadings. It is based on the finite element formulation incorporating analytical frequency-dependent infinite elements for the far field soil. The dynamic stiffness matrices of the far field region formulated using the present method in frequency domain can be easily transformed into the corresponding matrices in time domain. At first, the equivalent earthquake forces are evaluated along the interface between the near and the far fields from the free-field response analysis carried out in frequency domain, and the results are transformed into the time domain. An efficient procedure is developed for the convolution integrals to evaluate the interaction force along the interface, which depends on the response on the interface at the past time instances as well as the concurrent instance. Then, the dynamic responses are obtained for the equivalent earthquake force and the interaction force using Newmark direct integration technique. Since the response analysis is carried out in time domain, it can be easily extended to the nonlinear analysis. Example analysis has been carried out to verify the present method in a multi-layered half-space.

• 전자공학회논문지D
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• 제35D권1호
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• pp.8-15
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• 1998

An analysis of the microstripline is started as an assumption of the axial & transveral current distribution. Applying the boundary conditions to the scalar wave equations of a electric & magnetic potential, the two simultaneous coupled integral equations are produced. The electronmagnetic fields in microstrip line can be obtained by solving these two coupled integral equaltion. In general, either a numerical analysis method or a Galerkin method was used to solve them. In this paper, a residue theorem is proposed to solve them. The electromagnetic fields are expressed as integral equations for LSE and LSM mode in the spectral domain. Applying a residue theorem to the Fourier transformed equation and Fourier inverse transformed equation which is necessary for interchanging the space domain and the spectral domain, the electromagnetic fields are expressed as algebraic equations whichare relatively easier to handle. the distributions of the electromagnetic field are shown at the range of -5w/2.leq.x.leq.5w/2, 0.lep.y.leq.4h for z=0. It agrees well with the results of the Quasi-TEM mode analysis.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1997년도 가을 학술발표회 논문집
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• pp.42-49
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• 1997

In this paper, the method for soil-structure interaction analyses in the time domain is proposed. The far field soil region which is the outside of the artificial boundary is modeled by using explicit frequency-dependent two dimensional infinite elements which can include multiple wave components propagating into the unbounded medium. Since the dynamic stiffness matrix of the far field soil region using the proposed infinite elements is obtained explicitly in terms of exciting frequencies and constants in the frequency domain, the matrix can be easily transformed into the displacement unit-impulse response matrix, which corresponds to a convolution integral of it in the time domain. To verify the proposed method for soil-structure interaction analyses in the time domain, the displacement responses due to an impulse load on the surface of a soil layer with the rigid bed rock are compared with those obtained by the method in the frequency domain and those by models with extend finite element meshes. Good agreements have been found between them.

• 한국지진공학회:학술대회논문집
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• 한국지진공학회 1999년도 추계 학술발표회 논문집 Proceedings of EESK Conference-Fall
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• pp.107-112
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• 1999

This paper presents a time domain method for soil-structure interaction analysis for seismic loadings. It is based on the finite element formulation incorporating analytical frequency-dependent infinite elements for the far-field soil. The dynamic stiffness matrices of the far-field region formulated in frequency domain using the present method can be easily transformed into the corresponding matrices in time domain. Hence the response can be analytical computed in time domain. Example analysis has been carried out to verify the present method for an embedded block in a multi-layered half-space. The present methods can be easily extended to the nonlinear analysis since the response analysis is carried out in time domain.

• Coupled systems mechanics
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• 제9권5호
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• pp.397-410
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• 2020

The present investigation is concerned with two-dimensional deformation in a homogeneous isotropic non local thermoelastic solid with two temperatures due to thermomechanical sources. The theory of memory dependent derivatives has been used for the study. The bounding surface is subjected to concentrated and distributed sources (mechanical and thermal sources). The Laplace and Fourier transforms have been used for obtaining the solution to the problem in the transformed domain. The analytical expressions for displacement components, stress components and conductive temperature are obtained in the transformed domain. For obtaining the results in the physical domain, numerical inversion technique has been applied. Numerical simulated results have been depicted graphically for explaining the effects of nonlocal parameter on the components of displacements, stresses and conductive temperature. Some special cases have also been deduced from the present study. The results obtained in the investigation should be useful for new material designers, researchers and physicists working in the field of nonlocal material sciences.

• 한국도로학회논문집
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• 제9권2호
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• pp.63-76
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• 2007

본 연구에서는 콘크리트 포장에 덧씌우기를 하였을 때 다축차륜하중에 의한 응력분포특성을 분석하기 위하여 변환영역에서의 해석법을 개발하였다. 덧씌우기는 기존의 슬래브와 완전히 부착이 되었을 경우와 전혀 부착이 되지 않았을 때의 두 가지 극한 조건을 기준으로 분석을 하였다. 차륜하중은 복륜단축, 복륜복축, 복륜삼축 등 복륜다축하중을 고려하였으며 덧씌우기의 두께, 탄성계수, 포아송비 등이 응력분포에 미치는 영향을 분석하였다. 변환영역에서의 해석법을 이용하여 덧씌우기 포장을 분석하는 방법에 대하여 상세히 설명하였으며 해석결과의 정확성은 유한요소법을 이용한 해석결과와 비교하여 검증하였다. 해석을 수행한 결과 덧씌우기의 두께, 탄성계수, 포아송비의 증가는 기존 슬래브 하부의 최대인장응력을 감소시키며 감소 정도는 부착 덧씌우기가 비부착 덧씌우기에 비해 더 큰 것을 알 수 있었다. 또한 덧씌우기의 포아송비가 응력에 미치는 영향은 그리 크지 않은 것을 알 수 있었으며 부착과 비부착 덧씌우기 포장에서 덧씌우기의 두께 및 탄성계수의 증가에 따른 기존슬래브의 최대응력 감소특성도 분석하였다. 그리고 하중의 축수에 따른 부착과 비부착 덧씌우기 포장의 응력분포 및 최대응력특성도 분석하였다.

• 대한기계학회논문집A
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• 제24권1호
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• pp.163-172
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• 2000

In this study, the scattered far-field due to a cavity embedded in infinite media subjected to the incident SH-wave was calculated by the boundary element method. The effects of cavity shape and distance between internal cavity and internal point in infinite media were considered. The scattered far-field of the frequency domain was transformed into the signal of the time domain by using the Inverse Fast Fourier Transform(IFFT). It was found that the amplitude of scattered signal in time domain decreased with the increase of the distance between the detecting points of ultrasonic scattered field and the center of internal cavity in media. In addition, the time delay was clearly found in time domain waveform as the distance between the detecting points of ultrasonic scattered field and the center of internal cavity was gradually increased.

• Coupled systems mechanics
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• 제8권1호
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• pp.55-70
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• 2019

This investigation is focused on the variations in transversely isotropic thick circular plate due to time harmonic thermomechanical sources. The homogeneous thick circular plate in presence and absence of energy dissipation and two temperatures has been considered. Hankel transform is used for solving field equations. The analytical expressions of conductive temperature, displacement components, and stress components are computed in the transformed domain. The effects of frequency at different values are represented graphically. Some specific cases are also figured out from the current research.

• 콘크리트학회논문집
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• 제18권5호
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• pp.695-702
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• 2006

본 연구는 콘크리트 포장에 복륜 단축, 복륜 복축, 복륜 삼축 등 복륜 다축 차량 하중이 작용할 때 포장의 응력 분포와 최대 응력을 변환영역에서의 해석법을 이용하여 분석하였다. 우선 변환영역에서의 해석법을 이용한 결과와 유한요소법을 이용한 결과를 비교하여 해석법의 정확성을 파악하였다. 그리고 종방향과 횡방향을 따라 응력의 분포형태를 분석하고, 콘크리트 슬래브의 두께, 콘크리트 탄성계수, 지반 탄성계수 등이 응력 분포에 미치는 영향을 분석하였다. 또한 하중 접지면적과 연관된 하중 접지압의 변화에 따른 콘크리트 포장의 응력 분포도 분석하였으며 콘크리트 포장에서 최대 응력이 어느 위치에서 발생하는지에 대한 연구도 수행하였다. 연구 결과 다축 하중에 의한 콘크리트 포장의 최대 응력은 콘크리트의 탄성계수가 증가할수록, 슬래브의 두께가 감소할수록, 그리고 지반 탄성계수가 감소할수록 증가하였다. 이러한 변수 등이 변할 때 축수에 따른 최대 응력 비율의 변화는 대체적으로 미소하지만 지반 탄성계수가 작을 때는 축수가 증가 할수록 최대 응력 비율이 급격히 증가한다. 횡방향의 최대 응력 발생 위치는 일반적으로는 접지압이 증가하면 바깥쪽에서 안쪽으로 이동하며 콘크리트 탄성계수나 슬래브 두께가 증가하거나 지반 탄성계수가 감소할 때도 최대 응력 발생 위치는 바깥쪽에서 안쪽으로 이동한다. 종방향 상의 최대 응력 위치는 하중 접지압에 영향을 받지 않으며 단축과 복축 하중일 경우는 축의 위치이며 삼축 하중일 경우에는 콘크리트 탄성계수나 슬래브 두께가 증가하던지 또는 지반 탄성계수가 감소하면 최대 응력이 생기는 종방향 위치가 양쪽 바깥축에서 중간축의 위치로 바뀌게 된다.