• 제목/요약/키워드: Identification of damping matrices

검색결과 15건 처리시간 0.023초

FE model updating method incorporating damping matrices for structural dynamic modifications

  • Arora, Vikas
    • Structural Engineering and Mechanics
    • /
    • 제52권2호
    • /
    • pp.261-274
    • /
    • 2014
  • An accurate finite element (FE) model of a structure is essential for predicting reliably its dynamic characteristics. Such a model is used to predict the effects of structural modifications for dynamic design of the structure. These modifications may be imposed by design alterations for operating reasons. Most of the model updating techniques neglect damping and so these updated models can't be used for accurate prediction of vibration amplitudes. This paper deals with the basic formulation of damped finite element model updating method and its use for structural dynamic modifications. In this damped damped finite element model updating method, damping matrices are updated along with mass and stiffness matrices. The damping matrices are updated by updating the damping coefficients. A case involving actual measured data for the case of F-shaped test structure, which resembles the skeleton of a drilling machine is used to evaluate the effectiveness of damped FE model updating method for accurate prediction of the vibration levels and thus its use for structural dynamic modifications. It can be concluded from the study that damped updated FE model updating can be used for structural dynamic modifications with confidence.

Damage detection from the variation of parameter matrices estimated by incomplete FRF data

  • Rahmatalla, Salam;Eun, Hee-Chang;Lee, Eun-Taik
    • Smart Structures and Systems
    • /
    • 제9권1호
    • /
    • pp.55-70
    • /
    • 2012
  • It is not easy to experimentally obtain the FRF (Frequency Response Function) matrix corresponding to a full set of DOFs (degrees of freedom) for a dynamic system. Utilizing FRF data measured at specific positions, with DOFs less than that of the system, as constraints to describe a damaged system, this study identifies parameter matrices such as mass, stiffness and damping matrices of the system, and provides a damage identification method from their variations. The proposed parameter identification method is compared to Lee and Kim's method and Fritzen's method. The validity of the proposed damage identification method is illustrated in a simple dynamic system.

진동대 실험을 통한 시간영역에 기반한 시스템 식별 (Time Domain based Structural System Identification using Shaking Table Test)

  • 이상현;민경원;강경수;이명규
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2004년도 가을 학술발표회 논문집
    • /
    • pp.331-338
    • /
    • 2004
  • In this paper, stiffness and damping matrices are experimentally constructed using structural modal information on frequencies, damping ratios and modal vectors, which are obtained by shaking table tests. The acceleration of the shaking table is used as the input signal, and the resulting acceleration of each floor is measured as output signal. The characteristic and limitation of modal information from shaking table test are obtained by Common Based-normalized System Identification(CBSI) technique which is based on time domain information.

  • PDF

유한요소 모델 개선기법을 이용한 비비례 감쇠행렬 추정 (Identification of a Nonproportional Damping Matrix Using the Finite Element Model Updating)

  • 민천홍;김형우;이창호;홍섭;최종수;여태경
    • 한국해양공학회지
    • /
    • 제26권4호
    • /
    • pp.86-91
    • /
    • 2012
  • A new identification method for a nonproportional damping matrix using the finite element (FE) model updating technique is proposed. Mass and stiffness matrices of the undamped system are identified by FE model updating method. Sensitivity analysis is used to update the FE model, and zero frequencies are considered as design parameters to supplement the information of vibration characteristics. The nonproportional damping matrix is identified through the proposed method. A numerical example is considered to verify the performance of the proposed method. As a result, the damping matrix of the nonproportional system is estimated accurately.

유전알고리즘에 의한 강봉의 감쇠행렬 산출법 (Identification of Damping Matrix for a Steel Bar by the Genetic Algorithm)

  • 박석주;박영범;박경일;제해광;이금주
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제35권2호
    • /
    • pp.271-277
    • /
    • 2011
  • 이 연구에서는 유전알고리즘을 이용하여 강봉의 감쇠행렬을 산출하는 방법을 제안하다. 감쇠행렬이 강성행렬과 비례한다는 가정을 전제로 각 요소강성행렬에 임의의 정수를 곱하여 감쇠행렬을 구성하여 주파수응답함수를 구성하고, 이를 실험 주파수응답함수와 비교한 값을 목적함수로 하여 목적함수가 가장 작은 정수의 감쇠행렬을 구한다. 비감쇠 해석의 경우보다 목적함수의 값이 약 1/60로 작아지는 것을 알 수 있었다. 이를 이용하면 큰 구조물의 감쇠가 큰 일부 부분구조물을 떼어내어 감쇠행렬을 구할 수 있어 구조물의 감쇠진동해석을 하는데 도움이 될 것으로 사료된다.

주파수 응답함수를 이용한 구조 파라메터 예측 (Identification of Structural Parameters from Frequency Response Functions)

  • 김규식;강연준
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2007년도 추계학술대회논문집
    • /
    • pp.863-869
    • /
    • 2007
  • An improved method based on a normal frequency response function (FRF) is proposed to identify structural parameters such as mass, stiffness and damping matrices directly from the FRFs of a linear mechanical system. The method for estimating structural parameters directly from the measured FRFs of a structure is presented. This paper demonstrates that the characteristic matrices are extracted more accurately by using a weighted equation and eliminating the matrix inverse operation. The method is verified for a four degree-of-freedom lumped parameter system and an eight degree-of-freedom finite element beam. Experimental verification is also performed for a free-free steel beam whose size and physical properties are the same as those of the finite element beam. The results show that the structural parameters, especially the damping matrix, can be estimated more accurately by the proposed method.

  • PDF

Sensitivity-based finite element model updating with natural frequencies and zero frequencies for damped beam structures

  • Min, Cheon-Hong;Hong, Sup;Park, Soo-Yong;Park, Dong-Cheon
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • 제6권4호
    • /
    • pp.904-921
    • /
    • 2014
  • The main objective of this paper is to propose a new Finite Element (FE) model updating technique for damped beam structures. The present method consists of a FE model updating, a Degree of Freedom (DOF) reduction method and a damping matrix identification method. In order to accomplish the goal of this study, first, a sensitivity-based FE model updating method using the natural frequencies and the zero frequencies is introduced. Second, an Iterated Improved Reduced System (IIRS) technique is employed to reduce the number of DOF of FE model. Third, a damping matrix is estimated using modal damping ratios identified by a curve-fitting method and modified matrices which are obtained through the model updating and the DOF reduction. The proposed FE model updating method is verified using a real cantilever beam attached damping material on one side. The updated result shows that the proposed method can lead to accurate model updating of damped structures.

선형화 기법을 이용한 MR 감쇠기 성능평가 (Performance Evaluation of MR Damper using Equivalent Linearization Technique)

  • 이상현;민경원;이명규
    • 한국지진공학회논문집
    • /
    • 제9권2호통권42호
    • /
    • pp.1-6
    • /
    • 2005
  • 본 논문의 목적은 구조물의 지진응답제어를 위해 사용되는 MR 감쇠기의 성능을 선형화기법을 이용하여 등가의 선형 점성으로 표현하고, 이를 MR감쇠기가 설치된 축소건물에 대한 시스템식별 실험을 통해 얻은 결과와 비교하여, MR 감쇠기의 성능평가에 대한 선형화 기법의 타당성을 검증하는 것이다. 먼저, MR 감쇠기의 이력모델로 많이 사용되는 모델 중, 수학적 표현이 간단한 Bingham 모델에 등가선형화 기법을 적용하여 등가의 점성을 구하였다. 그리고, 진동대 가진실험을 통해 얻어진 MR감쇠기가 설치된 3층 소형구조물의 전달함수로부터 모드정보를 추출하고 이를 사용하여 구조물의 점성행렬을 구하였다. 선형화기법을 통해 Bingham 모델을 사용하여 예측된 점성과 실험을 통해 얻어진 MR감쇠기에 의해 증가된 점성은 5% 오차범위 이내로 일치된 결과를 보여준다.

재해석 기법을 이용한 동적 구조시스템의 System Identification (System Identification of Dynamic Systems Using Structural Reanalysis Method)

  • 한경봉;박선규;김형열
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 2004년도 추계 학술발표회 제16권2호
    • /
    • pp.421-424
    • /
    • 2004
  • Model updating is a very active research field, in which significant efforts has been invested in recent years. Model updating methodologies are invariably successful when used on noise-free simulated data, but tend to be unpredictable when presented with real experimental data that are-unavoidably-corrupted with uncorrelated noise content. In this paper, Reanalysis using frequency response functions for correlating and updating dynamic systems is presented. A transformation matrix is obtained from the relationship between the complex and the normal frequency response functions of a structure. The transformation matrix is employed to calculate the modified damping matrix of the system. The modified mass and stiffness matrices are identified from the normal frequency response functions by using the least squares method. Full scale pseudo dynamic pier test is employed to illustrate the applicability of the proposed method. The result indicate that the damping matrix of correlated finite element model can be identified accurately by the proposed method. In addition, the robustness of the new approach uniformly distributed measurement noise is also addressed.

  • PDF

선형화 기법에 기반한 MR 감쇠기가 설치된 건물의 동적모델 예측과 시스템식별 실험결과의 비교연구 (Comparative Studies between Prediction for a Building Structure with MR Damper using Linearization Technique and Experimental System Identification)

  • 이상현;민경원;이명규
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2004년도 가을 학술발표회 논문집
    • /
    • pp.323-330
    • /
    • 2004
  • The purpose of this paper is to experimentally identify the finite element (FE) model of a building structure with magnetorheological (MR) fluid damper. Using FE model based system identification (FEBSI) technique, The model of MR damper having nonlinear characteristics is expressed with equivalent linear properties such as mass, stiffness, and damping. Bingham model is used for MR damper modeling. The equivalent stiffness and damping matrices of MR damper are predicted by applying an equivalent linearization technique, and those values are compared with the experimentally obtained ones.

  • PDF