• Title/Summary/Keyword: natural stiffness matrix

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Vibration Analysis of Expansion Joint based on Transfer Matrix Method Considering the Rotary Inertia (회전 관성을 고려한 전달행렬법 기반의 Expansion Joint 진동해석)

  • Shin, Dong-Ho;Kim, Sang-Ho;Yoon, Hyung-Ho;Lim, Hee-Gon;Oh, Jae-Eung;Lee, Jung-Youn
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.7
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    • pp.665-673
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    • 2011
  • Simplified formulae for axial and bending natural frequencies of a bellows are developed using an equivalent thin-walled pipe model. The axial and bending stiffness of bellows is determined using lumped transfer matrix method. Transfer matrix method which includes the rotary inertia is used to calculate the natural frequencies for axial and lateral vibration. The result from the simplified formula are verified by those from as experiment result and a finite element analysis. This comparisons show good agreement with the each other.

Monitoring of tall slender structures by GPS measurements

  • Chmielewski, Tadeusz;Breuer, Peter;Gorski, Piotr;Konopka, Eduard
    • Wind and Structures
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    • v.12 no.5
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    • pp.401-412
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    • 2009
  • A method is applied for the estimation of structural damage of tall slender structures using natural frequency and displacements measurements by GPS. The relationship between the variation in the global stiffness matrix (or in the stiffness of each finite element) and the change in the natural frequencies of the structure is given. In engineering practice the number of frequencies which can be derived by GPS measurement of long-period structures will be equal to one, two or three first natural frequencies. This allows us in initial studies to detect damage with frequency changes based on forward methods in which the measured frequencies are compared with the predicted analytical data. This idea, of health monitoring from possible changes to natural frequencies, or from a statement of excessive displacements is applied to the Stuttgart TV Tower.

The Influence of Suction Foundation Models for Offshore Wind Turbine (해상풍력발전 석션기초의 강성산정 방법에 따른 영향 분석)

  • Jang, Hwa Sub;Nam, Hyun Woo;Kwak, Yeon Min;Yoon, Se Woong;Kim, Ho Sun
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.27 no.5
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    • pp.339-344
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    • 2015
  • Suction piles have been widely used as foundations and anchor systems in offshore industry, and recently, it have been tried to be used as foundations for offshore wind turbines. Many researches have shown that stiffness of a foundation could effect dynamic responses of a offshore wind turbine so that appropriate modeling application of wind turbine foundations is recommended. In this paper, we calculate a stiffness matrix of a suction foundation through 3D FEM analysis and compare the results with the ones calculated by conventional formula for estimating stiffness of shallow foundations. And then we carry out integrated load analysis for the evaluation of dynamic responses and natural frequencies of the structure using the calculated stiffness matrix. The results shows that the effect of load in the mudline is not large, but in the case of assuming the foundation as a fixed support, the natural frequency is over-estimated up to 10%. Therefore, considering stiffness of foundations is recommended when you evaluate the natural frequencies of wind turbine structures.

A Study on Natural Frequency of Shrink Fit Shaft (열박음축의 고유진동수에 關한 硏究)

  • Yoo, Eun-Yul;Oh, Jae-Eung;Yim, Tong-Kyu
    • The Journal of the Acoustical Society of Korea
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    • v.9 no.2
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    • pp.14-24
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    • 1990
  • A Study is made on shrink fit shaft in which its part is modelled and spring stiffness per unit length is estimated, then obtained transfer matrix. Transfer matrix of shaft is found by Myklestad's method and natural frequency is found by shrink fit tolerance on shrink fit shaft, too. In order to verify effectiveness of shrink fit effect, hollow shaft of the same size is compared with shrink fit shaft which will verified on experiment. As a result of this study, the more shrink fit tolerance increases, the more spring stiffness per unit length increases. It is obvious from the above results that shrink fit shaft due to shrink fit tolerances decreases natural frequency.

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Force-mediated proinvasive matrix remodeling driven by tumor-associated mesenchymal stem-like cells in glioblastoma

  • Lim, Eun-Jung;Suh, Yongjoon;Kim, Seungmo;Kang, Seok-Gu;Lee, Su-Jae
    • BMB Reports
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    • v.51 no.4
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    • pp.182-187
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    • 2018
  • In carcinoma, cancer-associated fibroblasts participate in force-mediated extracellular matrix (ECM) remodeling, consequently leading to invasion of cancer cells. Likewise, the ECM remodeling actively occurs in glioblastoma (GBM) and the consequent microenvironmental stiffness is strongly linked to migration behavior of GBM cells. However, in GBM the stromal cells responsible for force-mediated ECM remodeling remain unidentified. We show that tumor-associated mesenchymal stem-like cells (tMSLCs) provide a proinvasive matrix condition in GBM by force-mediated ECM remodeling. Importantly, CCL2-mediated Janus kinase 1 (JAK1) activation increased phosphorylation of myosin light chain 2 in tMSLCs and led to collagen assembly and actomyosin contractility. Collectively, our findings implicate tMSLCs as stromal cells providing force-mediated proinvasive ECM remodeling in the GBM microenvironment, and reminiscent of fibroblasts in carcinoma.

Vibration Analysis of a Hollow Crankshaft Supported by Fluid-film Bearing (중공 크랭크축 베어링계의 진동해석)

  • 조윤국;김정수
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1997.10a
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    • pp.333-338
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    • 1997
  • A hollow crankshaft is considered as part of an effort to reduce the weight of the automobile powertrain. Since the resulting mass reduction alters both the inertia and stiffness properties of the crankshaft, the vibration characteristics of the hollow crankshaft needs to be investigated in comparison with the original solid crankshaft. The crankshafts are modeled by 38 lumped mass and stiffness elements, in which the dynamic parameters for each lumped element are obtained by the finite element calculation. The fluid-film bearings supporting the crankshaft give rise to linear spring and damping elements that can be derived from the hydrodynamic bearing model. The transfer matrix method is applied to yield the natural frequencies and mode shapes of the crankshaft vibration. The natural frequencies of the hollow crankshaft are founded to be greater than that of the solid crankshaft, and the incorporation of the bearing stiffness tends to accentuate the difference.

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Joint parameter identification of a cantilever beam using sub-structure synthesis and multi-linear regression

  • Ingole, Sanjay B.;Chatterjee, Animesh
    • Structural Engineering and Mechanics
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    • v.45 no.4
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    • pp.423-437
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    • 2013
  • Complex structures are usually assembled from several substructures with joints connecting them together. These joints have significant effects on the dynamic behavior of the assembled structure and must be accurately modeled. In structural analysis, these joints are often simplified by assuming ideal boundary conditions. However, the dynamic behavior predicted on the basis of the simplified model may have significant errors. This has prompted the researchers to include the effect of joint stiffness in the structural model and to estimate the stiffness parameters using inverse dynamics. In the present work, structural joints have been modeled as a pair of translational and rotational springs and frequency equation of the overall system has been developed using sub-structure synthesis. It is shown that using first few natural frequencies of the system, one can obtain a set of over-determined system of equations involving the unknown stiffness parameters. Method of multi-linear regression is then applied to obtain the best estimate of the unknown stiffness parameters. The estimation procedure has been developed for a two parameter joint stiffness matrix.

Evaluation of vertical dynamic characteristics of cantilevered tall structures

  • Li, Q.S.;Xu, J.Y.;Li, G.Q.
    • Structural Engineering and Mechanics
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    • v.11 no.4
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    • pp.357-372
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    • 2001
  • In this paper, cantilevered tall structures are treated as cantilever bars with varying cross-section for the analysis of their free longitudinal (or axial) vibrations. Using appropriate transformations, exact analytical solutions to determine the longitudinal natural frequencies and mode shapes for a one step non-uniform bar are derived by selecting suitable expressions, such as exponential functions, for the distributions of mass and axial stiffness. The frequency equation of a multi-step bar is established using the approach that combines the transfer matrix procedure or the recurrence formula and the closed-form solutions of one step bars, leading to a single frequency equation for any number of steps. The Ritz method is also applied to determine the natural frequencies and mode shapes in the vertical direction for cantilevered tall structures with variably distributed stiffness and mass. The formulae proposed in this paper are simple and convenient for engineering applications. Numerical example shows that the fundamental longitudinal natural frequency and mode shape of a 27-storey building determined by the proposed methods are in good agreement with the corresponding measured data. It is also shown that the selected expressions are suitable for describing the distributions of axial stiffness and mass of typical tall buildings.

Detection of a Crack in Beams by Eigen Value Analysis (고유치 해석을 이용한 보의 크랙 탐색)

  • Lee, Hee-Su;Lee, Ki-Hoon;Cho, Jae-Hoon
    • Proceeding of EDISON Challenge
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    • 2016.03a
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    • pp.195-202
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    • 2016
  • In this paper, crack detection method using eigen value analysis is presented. Three methods are used: theoretical analysis, finite element method with the cracked beam elements and finite element method with three dimensional continuum elements. Finite element formulation of the cracked beam element is introduced. Additional term about stress intensity factor based on fracture mechanics theory is added to flexibility matrix of original beam to model the crack. As using calculated stiffness matrix of cracked beam element and mass matrix, natural frequencies are calculated by eigen value analysis. In the case of using continuum elements, the natural frequencies could be calculated by using EDISON CASAD solver. Several cases of crack are simulated to obtain natural frequencies corresponding the crack. The surface of natural frequency is plotted as changing with crack location and depth. Inverse analysis method is used to find crack location and depth from the natural frequencies of experimental data, which are referred by another papers. Predicted results are similar with the true crack location and depth.

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Identification of Stiffness Parameters of Nanjing TV Tower Using Ambient Vibration Records (상시진동 계측자료를 이용한 Nanjing TV탑의 강성계수 추정)

  • Kim Jae Min;Feng. M. Q.
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.04a
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    • pp.291-300
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    • 1998
  • This paper demonstrates how ambient vibration measurements at a limited number of locations can be effectively utilized to estimate parameters of a finite element model of a large-scale structural system involving a large number of elements. System identification using ambient vibration measurements presents a challenge requiring the use of special identification techniques, which ran deal with very small magnitudes of ambient vibration contaminated by noise without the knowledge of input farces. In the present study, the modal parameters such as natural frequencies, damping ratios, and mode shapes of the structural system were estimated by means of appropriate system identification techniques including the random decrement method. Moreover, estimation of parameters such as the stiffness matrix of the finite element model from the system response measured by a limited number of sensors is another challenge. In this study, the system stiffness matrix was estimated by using the quadratic optimization involving the computed and measured modal strain energy of the system, with the aid of a sensitivity relationship between each element stiffness and the modal parameters established by the second order inverse modal perturbation theory. The finite element models thus identified represent the actual structural system very well, as their calculated dynamic characteristics satisfactorily matched the observed ones from the ambient vibration test performed on a large-scale structural system subjected primarily to ambient wind excitations. The dynamic models identified by this study will be used for design of an active mass damper system to be installed on this structure fer suppressing its wind vibration.

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