• Title/Summary/Keyword: Finite Element -Transfer Matrix Method

검색결과 81건 처리시간 0.031초

전달매트릭스법 및 유한요소-전달매트릭스 결합방법에 의한 구조계의 동특성 감도해석 (Sensitivity Analysis of Dynamic Characteristics of Structural Systems by the Transfer Matrix Method and the Combined Finite Element-Transfer Matrix Method)

  • 조대승;김극천
    • 대한조선학회논문집
    • /
    • 제29권1호
    • /
    • pp.143-157
    • /
    • 1992
  • 공진회피설계, 진동응답 크기 및 진동부가응력의 허용치 설계관점에서의 최적설계를 위해 사전에 지정된 동특성을 갖는 구조물을 설계하기 위해서는 초기설계된 구조물의 설계변경이 요구된다. 이와 같은 경우에 초기설계에 대한 해석과 동시에 기준계(base system) 설계변수 변경에 따른 동특성 및 응답변화량을 계산하는 감도해석방법을 적용하면 효율적인 설계변경이 가능하다. 이산화 모델링에 의한 구조계의 동특성 해석에 있어서 전달 매트릭스법(TMM) 및 유한요소-전달매트릭스 결합방법(FETMM)으로 해석가능한 구조계에 대해서는 이 방법들을 적용하는 것이 유한요소법보다 매우 효율적임은 잘 인식되고 있다. 그러나, 동특성 감도해석에 대한 기존의 연구들은 대부분이 유한요소법의 사용을 전제로 하고 있고, TMM 및 FETMM에 의한 동특성 감도해석 연구사례는 찾아보기 어렵다. 본 논문에서는 TMM 및 FETMM에 의한 구조계의 동특성 감도해석방법을 제시하고, 중간구속조건을 갖는 양단 탄성지지보-기둥과 부가계를 갖는 보강판을 예로 해서 수치 실험적 검증을 수행하였다. 이로부터 본 논문에서 제시한 강도해석방법의 타당성과 효율성은 물론 최적 동특성 구조물을 추구하는 재설계 과정에 감도해석 결과를 이용하는 방법이 매우 효율적으로 적용될 수 있음이 확인되었다.

  • PDF

Free Vibration Analysis of Axisymmetric Conical Shell

  • Choi, Myung-Soo;Yeo, Dong-Jun;Kondou, Takahiro
    • 동력기계공학회지
    • /
    • 제20권2호
    • /
    • pp.5-16
    • /
    • 2016
  • Generally, methods using transfer techniques, like the transfer matrix method and the transfer stiffness coefficient method, find natural frequencies using the sign change of frequency determinants in searching frequency region. However, these methods may omit some natural frequencies when the initial frequency interval is large. The Sylvester-transfer stiffness coefficient method ("S-TSCM") can always obtain all natural frequencies in the searching frequency region even though the initial frequency interval is large. Because the S-TSCM obtain natural frequencies using the number of natural frequencies existing under a searching frequency. In this paper, the algorithm for the free vibration analysis of axisymmetric conical shells was formulated with S-TSCM. The effectiveness of S-TSCM was verified by comparing numerical results of S-TSCM with those of other methods when analyzing free vibration in two computational models: a truncated conical shell and a complete (not truncated) conical shell.

영향계수의 전달에 의한 환원판이 결합된 원추형 셸의 진동해석 (Vibration Analysis of Conical Shells with Annular Plates Using Transfer of Influence Coefficient)

  • 최명수;여동준
    • 동력기계공학회지
    • /
    • 제19권5호
    • /
    • pp.52-59
    • /
    • 2015
  • This paper is presented for the free vibration of a conical shell with annular plates or circular plate using the transfer of influence coefficient. The governing equations of vibration of a conical shell, including annular plate, are written as a coupled set of first order differential equations by using the transfer matrix of the shell. Once the transfer matrix of a single component has been determined, the entire structure matrix is obtained by the product of each component matrix and the joining matrix. The natural frequencies and the modes of vibration were calculated numerically for joined conical-annular plates. The validity of the present method is demonstrated through simple numerical examples, and through comparison with the results of finite element method, transfer matrix method and ANSYS. The conclusion show that the present method can accurately obtain natural vibration characteristics of the conical shell with annular or circle end plates.

전달 강성계수법에 의한 격자형 구조물의 자유 진동 해석 (Free Vibration Analysis of Lattice Type Structure by Transfer Stiffness Coefficient Method)

  • 문덕홍;최명수;강화중
    • 소음진동
    • /
    • 제8권2호
    • /
    • pp.361-368
    • /
    • 1998
  • Complex and large lattice type structures are frequently used in design of bridge, tower, crane and aerospace structures. In general, in order to analyze these structures we have used the finite element method(FEM). This method is the most widely used and powerful tool for structural analysis. However, it is necessary to use a large amount of computer memory and computation time because the FEM resuires many degrees of freedom for solving dynamic problems exactly for these complex and large structures. For overcoming this problem, the authors developed the transfer stiffness coefficient method(TSCM). This method is based on the concept of the transfer of the nodal dynamic stiffness coefficient which is related to force and displacement vector at each node. In this paper, the authors formulate vibration analysis algorithm for a complex and large lattice type structure using the transfer of the nodal dynamic stiffness coefficient. And we confirmed the validity of TSCM through numerical computational and experimental results for a lattice type structure.

  • PDF

러브파의 위상속도 분산정보에 관한 해석적 연구 (Analytical Study for dispersed Phase Velocity Information of Love Waves)

  • 이일화
    • 한국철도학회논문집
    • /
    • 제7권4호
    • /
    • pp.391-399
    • /
    • 2004
  • This paper investigated the dispersion characteristics of horizontal surface waves as means to apply conversional SASW techniques. To verify this proposal, 3D finite element analysis and Transfer matrix solution were performed. SH wave(Love waves) has the some advantages in comparison with Rayleigh wave. Representatively, Love wave has a characteristics not affected by compression wave. These characteristics have the robust applicability for the surface wave investigation techniques. In this study, for the purpose of employing Love wave in the SASW method, the dispersion characteristics of the Love wave was extensively investigated by the theoretical and numerical approaches. The 3-D finite element and transfer matrix analyses for the half space and two-layer systems were performed to determine the phase velocities from Love wave as well as from both the vertical and the horizontal components of Rayleigh wave. Preliminary, numerical simulations and theoretical solutions indicated that the dispersion characteristics of horizontal surface wave(Love waves) can be sufficiently sensitive and appliable to SASW techniques.

1D finite element artificial boundary method for layered half space site response from obliquely incident earthquake

  • Zhao, Mi;Yin, Houquan;Du, Xiuli;Liu, Jingbo;Liang, Lingyu
    • Earthquakes and Structures
    • /
    • 제9권1호
    • /
    • pp.173-194
    • /
    • 2015
  • Site response analysis is an important topic in earthquake engineering. A time-domain numerical method called as one-dimensional (1D) finite element artificial boundary method is proposed to simulate the homogeneous plane elastic wave propagation in a layered half space subjected to the obliquely incident plane body wave. In this method, an exact artificial boundary condition combining the absorbing boundary condition with the inputting boundary condition is developed to model the wave absorption and input effects of the truncated half space under layer system. The spatially two-dimensional (2D) problem consisting of the layer system with the artificial boundary condition is transformed equivalently into a 1D one along the vertical direction according to Snell's law. The resulting 1D problem is solved by the finite element method with a new explicit time integration algorithm. The 1D finite element artificial boundary method is verified by analyzing two engineering sites in time domain and by comparing with the frequency-domain transfer matrix method with fast Fourier transform.

전달행렬법을 이용하여 폭이 테이퍼진 회전하는 외팔보의 정확한 굽힘 진동해석 (Exact Solution for Bending Vibration of Rotating Cantilever Beam with Tapered Width Using Transfer Matrix Method)

  • 이정우;곽종훈;이정윤
    • 한국소음진동공학회논문집
    • /
    • 제26권1호
    • /
    • pp.75-81
    • /
    • 2016
  • In this study, a transfer matrix method in which can produce an infinite number of accurate natural frequencies using a single element for the bending vibration of rotating Bernoulli-Euler beam with linearly reduced width, is developed. The roots of the differential equation in the proposed method are calculated using the Frobenius method in the power series solution. To demonstrate the accuracy of the method, the calculated natural frequencies are compared with the results given by using the commercial finite element analysis program(ANSYS), and the comparison results between these two methods show the excellent agreement. Based on the comparison results, a parametric study is performed to investigate the effect of the centrifugal forces on the non-dimensional natural frequencies for rotating beam with the variable width.

집중 질량을 갖는 폭 변단면 외팔보의 굽힘 진동 해석 (Bending Vibration Analysis of Width Tapered Beams with Concentrated Tip Mass)

  • 이정우;곽종훈;이정윤
    • 한국소음진동공학회논문집
    • /
    • 제25권12호
    • /
    • pp.822-829
    • /
    • 2015
  • A transfer matrix method has been developed to determine the more accurate natural frequencies for the bending vibration of Bernoulli-Euler beam with linearly reduced width and a concentrated tip mass. The proposed method can be computed an infinite number of the natural frequencies using a single element. Using the differential equation, shear force, and bending moment in which can be deduced by the diverse variational principles, a transfer matrix is formulated. The roots of the differential equation are computed by the Frobenius method. The effect of the concentrated mass for the natural frequencies of width-tapered beams is examined through a parametric study, and to show the accuracy of the proposed method, the computed results compared with those obtained from commercial finite element analysis program(ANSYS).

전달행렬법을 이용하여 회전관성을 고려한 Expansion Joint의 진동해석 (Vibration Analysis of Expansion Joint with Rotary Inertia Using Transfer Matrix Method)

  • 신동호;오재응;이정윤
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2011년도 춘계학술대회 논문집
    • /
    • pp.544-549
    • /
    • 2011
  • Simplified formulae for axial and bending natural frequencies of bellows are developed using an equivalent thin-walled pipe model. The axial and bending stiffness of bellows is determined using lumped transfer matrix method. Accordingly, the Expansion Joint Manufacturers Association (EJMA) formula for axial and bending stiffness calculation is modified using two different equivalent radii. The results from the simplified formulae are verified by those from a experiment result and a finite element (FE) model and good agreement is shown between the each other.

  • PDF

비축대칭 하중을 받는 원통형 쉘의 단순화 해석 (A Simple Analysis of the Cylindrical Shell Subjected to a Nonaxisymmetric Load)

  • 남문희;이관희
    • 한국전산구조공학회논문집
    • /
    • 제13권2호
    • /
    • pp.179-187
    • /
    • 2000
  • 비축대칭 하중을 받는 축대칭 쉘의 해석시 구조의 축대칭성을 고려하면 시간과 노력을 절약할 수 있다. 하중과 변위에 대하여 원주방향으로 Fourier 급수전개를 고려함으로서 비축대칭하중을 받는 축대칭 쉘의 해석은 뼈대요소처럼 취급할 수 있다. 본 논문에서는 Fourier 급수전개를 이용한 통상의 유한요소법에 의하여 비축대칭 하중을 받는 원형탱크의 강성행렬을 유도하고, 이 강성행렬을 행렬의 조작에 의해 전달행렬로 전환하여 전달행렬법을 적용하였다. 이 논문은 비축대칭하중을 받는 축대칭 쉘의 해석을 위한 연립방정식의 수를 최소화하는데 그 목적이 있다. 제안된 방법에 의한 풍하중과 물하중을 받는 원형탱크의 해석결과는 타 방법에 의한 해석결과와 잘 일치하고 있다.

  • PDF