• Title/Summary/Keyword: Inverse Stiffness Method

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Analysis of Design Parameter of Structural Modification using Change of Dynamic Characteristics (동특성 변화로부터 구조물의 변경된 설계파라미터 해석)

  • Oh Jae-Eung;Lee Jung-Woo;Lee Jung-Youn
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.4 s.247
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    • pp.387-392
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    • 2006
  • This paper predicts the modified mass and stiffness of structure using the sensitivity coefficients with the iterative method. The sensitivity coefficients are obtained by the change of the eigenvectors according to structural modification. The method is applied to an examples of a 3 degree of freedom system by modifying mass and stiffness. The predicted mass and stiffness are in good agreement with these from the structural reanalysis using the modified mass and stiffness.

Performance assessment using the inverse analysis based a function approach of bridges repaired by ACM from incomplete dynamic data (불완전 동적 데이터로부터 복합신소재로 보강된 교량의 함수기반 역해석에 의한 성능 평가)

  • Lee, Sang-Youl;Noh, Myung-Hyun
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.1 no.2
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    • pp.51-58
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    • 2010
  • This work examines the identification of stiffness reduction in damaged reinforced concrete bridges under moving loads, and carries out the performance assessment after repairing using advanced composite materials. In particular, the change of stiffness in each element before and after repairing, based on the Microgenetic algorithm as an advanced inverse analysis, is described and discussed by using a modified bivariate Gaussian distribution function. The proposed method in the study is more feasible than the conventional element-based method from computation efficiency point of view. The validity of the technique is numerically verified using a set of dynamic data obtained from a simulation of the actual bridge modeled with a three-dimensional solid element. The numerical examples show that the proposed technique is a feasible and practical method which can inspect the complex distribution of deteriorated stiffness although there is a difference between actual bridge and numerical model as well as uncertain noise occurred in the measured data.

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Damage assessment of beams from changes in natural frequencies using ant colony optimization

  • Majumdar, Aditi;De, Ambar;Maity, Damodar;Maiti, Dipak Kumar
    • Structural Engineering and Mechanics
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    • v.45 no.3
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    • pp.391-410
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    • 2013
  • A numerical method is presented here to detect and assess structural damages from changes in natural frequencies using Ant Colony Optimization (ACO) algorithm. It is possible to formulate the inverse problem in terms of optimization and then to utilize a solution technique employing ACO to assess the damage/damages of structures using natural frequencies. The laboratory tested data has been used to verify the proposed algorithm. The study indicates the potentiality of the developed code to solve a wide range of inverse identification problems in a systematic manner. The developed code is used to assess damages of beam like structures using a first few natural frequencies. The outcomes of the simulated results show that the developed method can detect and estimate the amount of damages with satisfactory precision.

Damage assessment of structures from changes in natural frequencies using genetic algorithm

  • Maity, Damodar;Tripathy, Rashmi Ranjan
    • Structural Engineering and Mechanics
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    • v.19 no.1
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    • pp.21-42
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    • 2005
  • A method is presented to detect and assess the structural damage from changes in natural frequencies using Genetic Algorithm (GA). Using the natural frequencies of the structure, it is possible to formulate the inverse problem in optimization terms and then to utilize a solution procedure employing GA to assess the damages. The technique has been applied to a cantilever beam and a plane frame, each one with different damage scenario to study the efficiency of the developed algorithm. A laboratory tested data has been used to verify the proposed algorithm. The study indicates the potentiality of the developed code to solve a wide range of inverse identification problems in a systematic way. The outcomes show that this method can detect and estimate the amount of damages with satisfactory precision.

A Field Case Research by Construction Management of Underground Excavation Construction Using Inverse Analysis Method (역해석 기법을 이용한 지하굴착공사의 시공관리에 관한 현장사례연구)

  • Park, Hyun-Jung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.2
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    • pp.1089-1095
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    • 2014
  • In this study, we compared and analyzed the displacement of final excavation with measured value through an inverse analysis method used in urban excavation construction. We maximized the effectiveness of the inverse analysis method, and plan to achieve cost-effective and practical construction management in the field with identical conditions. As the first stage, we suggest an example of a field which has the inverse analysis method. We applied the inverse analysis method to three different fields on which construction and measuring were finished. Of these three fields, two fields showed a very satisfactory result. However, in one field, there were significant differences between the analysis and measured value. The result of our analysis indicated that, we should unite the conditions of the inverse analysis method and field construction. We need to thoughtfully reconsider the RANKINE earth pressure application in a triangle type. This is because the uniformity of earth pressure is made by its arching effect, in the condition of the displacement of lower underground occurring widely, which is differentiated with the earth pressure conditions of RANKINE, even if the slurry wall has stiffness. Also, when recalculating the soil parameter, we should emphasize the adhesion of the weathering zone, and give experimental consideration to ground water level.

Seismic protection of smart base-isolated structures using negative stiffness device and regulated damping

  • Bahar, Arash;Salavati-Khoshghalb, Mohsen;Ejabati, Seyed Mehdi
    • Smart Structures and Systems
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    • v.21 no.3
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    • pp.359-371
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    • 2018
  • Strong seismic events commonly cause large drift and deformation, and functionality failures in the superstructures. One way to prevent functionality failures is to design structures which are ductile and flexible through yielding when subjected to strong ground excitations. By developing forces that assist motion as "negative stiffness forces", yielding can be achieved. In this paper, we adopt the weakening and damping method to achieve a new approach to reduce all of the structural responses by further adjusting damping phase. A semi-active control system is adopted to perform the experiments. In this adaptation, negative stiffness forces through certain devices are used in weakening phase to reduce structural strength. Magneto-rheological (MR) dampers are then added to preserve stability of the structure. To adjust the voltage in MR dampers, an inverse model is employed in the control system to command MR dampers and generate the desired control forces, where a velocity control algorithm produces initial required control force. An extensive numerical study is conducted to evaluate proposed methodology by using the smart base-isolated benchmark building. Totally, nine control systems are examined to study proposed strategy. Based on the numerical results of seven earthquakes, the use of proposed strategy not only reduces base displacements, base accelerations and base shear but also leads to reduction of accelerations and inter story drifts of the superstructure. Numerical results shows that the usage of inverse model produces the desired regulated damping, thus improving the stability of the structure.

Time domain identification of multiple cracks in a beam

  • He, Z.Y.;Lu, Z.R.
    • Structural Engineering and Mechanics
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    • v.35 no.6
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    • pp.773-789
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    • 2010
  • It is well known that the analytical vibration characteristic of a cracked beam depends largely on the crack model. In the forward analysis, an improved and simplified approach in modeling discrete open cracks in beams is presented. The effective length of the crack zone on both sides of a crack with stiffness reduction is formulated in terms of the crack depth. Both free and forced vibrations of cracked beams are studied in this paper and the results from the proposed modified crack model and other existing models are compared. The modified crack model gives very accurate predictions in the modal frequencies and time responses of the beams particularly with overlaps in the effective lengths with reduced stiffness. In the inverse analysis, the response sensitivity with respect to damage parameters (the location and depth of crack, etc.) is derived. And the dynamic response sensitivity is used to update the damage parameters. The identified results from both numerical simulations and experiment work illustrate the effectiveness of the proposed method.

Simultaneous identification of stiffness and damping based on derivatives of eigen-parameters

  • Lia, H.;Liu, J.K.;Lu, Z.R.
    • Structural Engineering and Mechanics
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    • v.55 no.4
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    • pp.687-702
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    • 2015
  • A method based on derivatives of eigen-parameters is presented for damage detection in discrete systems with dampers. The damage is simulated by decrease on the stiffness coefficient and increase of the damping coefficient. In the forward analysis, the derivatives of eigen-parameters are derived for the discrete system. In the inverse analysis, a derivative of eigen-parameters based model updating approach is used to identify damages in frequency domain. Two numerical examples are investigated to illustrate efficiency and accuracy of the proposed method. Studies in this paper indicate that the proposed method is efficient and robust for both single and multiple damages and is insensitive to measurement noise. And satisfactory identified results can be obtained from few numbers of iterations.

Use of bivariate gamma function to reconstruct dynamic behavior of laminated composite plates containing embedded delamination under impact loads

  • Lee, Sang-Youl;Jeon, Jong-Su
    • Structural Engineering and Mechanics
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    • v.70 no.1
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    • pp.1-11
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    • 2019
  • This study deals with a method based on the modified bivariate gamma function for reconstructions of dynamic behavior of delaminated composite plates subjected to impact loads. The proposed bivariate gamma function is associated with micro-genetic algorithms, which is capable of solving inverse problems to determine the stiffness reduction associated with delamination. From computing the unknown parameters, it is possible for the entire dynamic response data to develop a prediction model of the dynamic response through a regression analysis based on the measurement data. The validity of the proposed method was verified by comparing with results employing a higher-order finite element model. Parametric results revealed that the proposed method can reconstruct dynamic responses and the stiffness reduction of delaminated composite plates can be investigated for different measurements and loading locations.

Prediction of Structural Modified Design Parameter due to the Change of Dynamic Characteristic (동특성변화에 따른 구조물의 변경된 설계파라미터 예측)

  • 이정윤
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2004.04a
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    • pp.191-196
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    • 2004
  • This study proposed the analysis of mass position detection and modified stiffness due to the change of the mass and stiffness of structure by using the original and modified dynamic characteristics. The method is applied to examples of a cantilever and 3 degree of freedom by modifying the mass. The predicted detection of mass positions and magnitudes are in good agrement with these from the structural reanalysis using the modified mass.

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