• Structural Engineering and Mechanics
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• 제31권2호
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• pp.211-223
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• 2009

Transient response analysis can be conducted either in the time domain, or via the frequency domain. Sometimes a frequency domain method (FDM) has advantages over a time domain method. A practical issue in the FDM is to find out an appropriate extended period, which may be affected by several factors, such as the excitation duration, the system damping, the artificial damping, the period of interest, etc. In this report, the extended period of the FDM based on the Duhamel's integral is investigated. This Duhamel's integral based FDM does not involve the unit impulse response function (UIRF) beyond the period of interest. Due to this fact, the ever-lasting UIRF can be simply set as zero beyond the period of interest to shorten the extended period. As a result, the preferred extended period is the summation of the period of interest and the excitation duration. This conclusion is validated by numerical examples. If the extended period is too short, then the front portion of the period of interest is more prone to errors than the rear portion, but the free vibration segment is free of the wraparound error.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 1996년도 추계학술대회논문집; 한국과학기술회관, 8 Nov. 1996
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• pp.210-216
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• 1996

Spectral element method(SEM) has been recognized to provide accurate structural dynamic responses even at high frequency. The Duhamel's integral based SEM developed by the authors for the structures under dynamic distributed loads does not take into account the zero frequency effect and requires significant computational time due to the integration procedure of Duhamel's integral. Hence, in this paper, a new SEM algorithm is proposed. This new algorithm is based on the FEM-type procedure for the distributed loads and includes the zero frequency correction to improve the accuracy. Some numerical results are illustrated to prove the accuracy of present new SEM algorithm.

• 대한조선학회지
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• 제14권3호
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• pp.5-12
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• 1977

In shipyard production processes, lots of steel plates are assembled by welding. Some rectangular steel plates are buttwelded to build a large block in panel production lines. There are some advantages to take the tandem arc welding in butt joints of rectangular plates with respect to welding speed. Hence, the thermal stresses and the temperature distribution of the tandem arc welding are studied in this paper. The solutions in the case of the infinite plate with two instantaneous point heat sources have been obtained. And then the solutions have been extended to the case of two moving heat sources corresponding to the tandem arc welding with the aid of Duhamel's superposition integral. It was found that the temperature distribution was good agreement with the results of the experiments by Rosenthal and Park and the thermal stresses calculated were acceptable with respect to a physical phenomenon. These solutions are able to be applied to the problem such as a line heating.

• 오토저널
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• 제3권1호
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• pp.54-60
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• 1981

This paper presents the dynamic behaviour of a simple beam subjected to moving loads and prebending moments. The velocity of the moving loads is assumed constant, and the prebending moment is assumed to be M. The fundamental equation of motion of the beam is derived from the principle of virtual works and solved by using Duhamel's Integral. In this paper we found that the dimensionless deflection at the middle of beam was related with prebending moment(M), velocity(V) and magnitude of the moving load(F) ; that is y/y$_{0}$=1/1-.betha.$^{2}$-.pi.M/Fl The faster the velocity becomes, the deeper the maximum deflection becomes. And the maximum deflection at the middle of beam was occurred after the moving load passed the midpoint of beam.

• 한국정밀공학회지
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• 제12권2호
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• pp.69-78
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• 1995

Nonlinear analysis methods are developed which will enable the reliable prediction of the dynamic behavior of the space shuttle main engine(SSME) turbopumps in the presence of bearing clearances and other local nonlinearities. A computationally efficient convolution method, based on discretized Duhamel and transition matrix integral formulations, is developed for the transient analysis. In the formulation, the coupling forces due to the onlinearities are treated as external forces acting on the coupled subsystems. Iteration is utilized to determine their magnitudes at each time increament. The method is applied to a nonlinear generic model of the high pressure oxygen turthods, the convolution approach proved to be more accurate and highly more efficient. For determining the nonlinear, steady-state periodic responses, an incremental harmonic balance(IHB) method was also developed. The method was successfully used to determine dominantly harmonic and subharmonic(subsynchronous) responses of the HPOTP generic model with bearing clearances. A reduction method similar to the impedance formulation utilized with linear systems is used to reduce the housing-totor models to their coordinates at the bearing clearances.

• 대한조선학회지
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• 제13권1호
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• pp.25-34
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• 1976

Analytical solutions for the transient temperature and quasi-static thermal stresses which arise in thin plates subjected to an instantaneous point source of heat have been investigated. And the solutions have been extended to the case of a moving source of heat with the aid of the Duhamel's superposition integral. For finite disk an experiment was conducted, the measured temperature histories show a good agreement with the theoretical temperature histories, And the histories of thermal stresses show a good qualitative agreement with the physical phenomena. And also we can find out that the maximum temperature and thermal stresses and their location can be estimated by using the solutions for infinite plates instead of the solutions for a finite plate. The solutions can be used for the problems such as a welding or line heating in a hull construction.

• 대한조선학회지
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• 제12권1호
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• pp.9-22
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• 1975

As a second step of a thermal stress analysis in a watertight bulkhead plate during welding of a spool type penetration piece, is idealized as a thin circular disk with a clamped boundary. The exact solution for the transient temperature distribution and associated quasi-static thermal stresses which arise in a circular disk subjected to an instantaneous point source of heat acting in its interior has been obtained. And the solutions have been extended to the case of moving source of heat with the aid of the Duhamel's superposition integral and the results finally derived have been compared with the other results from the typical cases. The solutions can be applied to the problem such as a welding of a penetration piece on the watertight bulkhead and also applicable to the problems which occur in cutting or welding.

• 대한조선학회지
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• 제12권2호
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• pp.13-34
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• 1975

Analytical solutions for the transient temperature distribution and quasi-static thermal stresses which arise in a thin circular disk of finite radius subjected to an instantaneous point source acting in its interior have been obtained. And the solutions have been extended to the case of a moving heat source with the aid of the Duhamel's superposition integral. The solutions given are in the form of double infinite serieses, and their numerical results have been compared with the experimental temperature histories. It can be found out that the theoretical histories of thermal stresses show a good agreement with the experimental results and the theoretical histories of thermal stresses show a good qualitative agreement with a physical phenomena. The solutions can be applied to the problems such as a flame hardening of the cylindrical machine elements and a circular patch welding or a circular cutting of the structural member.

• 대한조선학회지
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• 제12권1호
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• pp.1-8
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• 1975

As a first step of a thermal stress analysis in a watertight bulkhead plate during welding of a spool type penetration piece, the bulkhead plate has been idealized as infinite plate with a circular hole. The exact solution for the transient temperature distribution and the associated quasi-static thermal stress which arise in a infinite plate subjected to an instantaneous point source of heat acting on the periphery of the circular hole. And the solutions have been extended to the case of a moving heat source with the aid of the Duhamel's superposition integral. The solutions can be applied to the problems such as a circular cutting or welding of a plate.

• 대한토목학회논문집
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• 제28권1A호
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• pp.95-104
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• 2008

본 연구에서는 경부고속철도상의 대표적인 교량인 2경간 연속보 형태의 고속철도 교량에 대하여 동적거동을 해석하고 공진발생의 감소방안들을 제시하였다. 하중은 한국형 고속철도하중인 총길이 380.15 m의 TGV-K 열차(2P+18T)가 일정한 속도로 이동하는 것으로 하였다. 동적거동을 모사하는 지배방정식은 질량과 강성이 분포된 연속계에서 만들어진 편미분방정식을 이용하여 구하였으며 Duhamel 적분을 이용한 모달계수의 처리를 수반하는 모드중첩법을 이용하여 동적해석을 수행하였다. 열차의 주행속도에 관계없이 동적거동을 급격히 감소시킬 수 있는 지간장이 존재하였으며 지금까지 연구된 단순보 형태의 교량에서 분석된 결과와는 달랐다. 열차의 주행속도에 의존하여 동적응답이 급격히 증가되어 공진현상을 일으키는 경우에도 공진을 감소시킬 수 있는 여러 방안들을 제시하였다.