• 제목/요약/키워드: stiffness method

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전달강성계수법에 의한 분기형 구조물의 시긴이력응답해석 (Time Historical Response Analysis of Tree Structure by Transfer Stiffness Coefficient Method)

  • 문덕홍;강현석;최명수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.426-431
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    • 1998
  • This, paper describes formulation for time historical response analysis of vibration for tree structure. This method is derived from a combination of the transfer stiffness coefficient method and the Newmark-.betha. method. And This present method improves the computational accuracy of the transient vibration response analysis remarkably owing to several advantages of the transfer stiffness coefficient method. We regarded the structure as a lumped mass system here. The analysis algorithm for the time historical response was formulated for the tree structure. The validity of the present method compared with the transfer matrix method and the FEM(Finite Element Method) for transient vibration analysis is demonstrated through the numerical computations.

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저자유도 평면 병렬형 기구의 강성 해석 (Stiffness Analysis of a Low-DOF Planar Parallel Manipulator)

  • 김한성
    • 한국정밀공학회지
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    • 제26권8호
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    • pp.79-88
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    • 2009
  • This paper presents the analytical stiffness analysis method for a low-DOF planar parallel manipulator. An n-DOF (n<3) planar parallel manipulator to which 1- or 2-DOF serial mechanism is connected in series may be used as a positioning device in planar tasks requring high payload and high speed. Differently from a 3-DOF planar parallel manipulator, an n-DOF planar parallel counterpart may be subject to constraint forces as well as actuation forces. Using the theory of reciprocal screws, the planar stiffness is modeled such that the moving platform is supported by three springs related to the reciprocal screws of actuations (n) and constraints (3-n). Then, the spring constants can be precisely determined by modeling the compliances of joints and links in serial chains. Finally, the stiffness of two kinds of 2-DOF planar parallel manipulators with simple and complex springs is analyzed. In order to show the effectiveness of the suggested method, the results of analytical stiffness analysis are compared to those of numerical stiffness analysis by using ADAMS.

횡하중을 받는 철근콘크리트 장주설계를 위한 기둥의 등가강성식 (Equivalent Column Stiffness Equations for Design of RC Slender Columns under Later Loads)

  • 이재훈
    • 콘크리트학회지
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    • 제7권1호
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    • pp.156-164
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    • 1995
  • 기둥의 축력-모멘트-곡률곡선으로 결정된 등가강성을 이용하여 P-${\Delta}$- 해석을 수행하는 방법은 횡화중을 받는 철근콘크리트 장주의 극한지지력을 비교적 정확하게 예측할 수 있으나 실무설계에 이용하기에는 복잡한 방법이다. 보다 효율적인 해석과정을 위하여 시방서상 사용가능한 기둥단면에 대한 축력-모멘트-곡률곡선과 이에 따른 등가강성을 구하고, 이를 간편하게 계산할 수 있는 등가강성식을 제안하였다. 제안된 강성식을 P-${\Delta}$ 해석법과 모멘트확대법에 적용하여 실험치와 비교하여 해석의 정확도를 확인하였다. 횡하중을 받는 철근콘크리트장주의 설계시 제안된 강성식을 입력자료로 이용한다면 좀더 간편하게 P-${\Delta}$ 해석을 수행할 수 있을 것이며, 시방서에서 규정된 모멘트확대법의 기둥강성식 대신 사용한다면 모멘트확대법의 정확도를 향상시킬 수 있을 것이다.

Minimum dynamic response of cantilever beams supported by optimal elastic springs

  • Aydin, Ersin
    • Structural Engineering and Mechanics
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    • 제51권3호
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    • pp.377-402
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    • 2014
  • In this study, optimal distribution of springs which supports a cantilever beam is investigated to minimize two objective functions defined. The optimal size and location of the springs are ascertained to minimize the tip deflection of the cantilever beam. Afterwards, the optimization problem of springs is set up to minimize the tip absolute acceleration of the beam. The Fourier Transform is applied on the equation of motion and the response of the structure is defined in terms of transfer functions. By using any structural mode, the proposed method is applied to find optimal stiffness and location of springs which supports a cantilever beam. The stiffness coefficients of springs are chosen as the design variables. There is an active constraint on the sum of the stiffness coefficients and there are passive constraints on the upper and lower bounds of the stiffness coefficients. Optimality criteria are derived by using the Lagrange Multipliers. Gradient information required for solution of the optimization problem is analytically derived. Optimal designs obtained are compared with the uniform design in terms of frequency responses and time response. Numerical results show that the proposed method is considerably effective to determine optimal stiffness coefficients and locations of the springs.

Experimental and Theoretical Study on the Prediction of Axial Stiffness of Subsea Power Cables

  • Nam, Woongshik;Chae, Kwangsu;Lim, Youngseok
    • 한국해양공학회지
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    • 제36권4호
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    • pp.243-250
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    • 2022
  • Subsea power cables are subjected to various external loads induced by environmental and mechanical factors during manufacturing, shipping, and installation. Therefore, the prediction of the structural strength is essential. In this study, experimental and theoretical analyses were performed to investigate the axial stiffness of subsea power cables. A uniaxial tensile test of a 6.5 m three-core AC inter-array subsea power cable was carried out using a 10 MN hydraulic actuator. In addition, the resultant force was measured as a function of displacement. The theoretical model proposed by Witz and Tan (1992) was used to numerically predict the axial stiffness of the specimen. The Newton-Raphson method was employed to solve the governing equation in the theoretical analysis. A comparison of the experimental and theoretical results for axial stiffness revealed satisfactory agreement. In addition, the predicted axial stiffness was linear notwithstanding the nonlinear geometry of the subsea power cable or the nonlinearity of the governing equation. The feasibility of both experimental and theoretical framework for predicting the axial stiffness of subsea power cables was validated. Nevertheless, the need for further numerical study using the finite element method to validate the framework is acknowledged.

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

  • 오재응;이정우;이정윤
    • 대한기계학회논문집A
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    • 제30권4호
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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.

강성계수의 전달을 이용한 일정 단면을 갖는 비틀림 축계의 고유진동수 민감도 해석 (Sensitivity Analysis for Natural Frequency of Torsional Shafting with Constant Cross Section Using Transfer of Stiffness Coefficient)

  • 최명수;변정환
    • 동력기계공학회지
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    • 제16권2호
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    • pp.11-16
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    • 2012
  • In this paper, the authors formulate the sensitivity analysis algorithm for the natural frequency of a torsional shafting by expanding the transfer stiffness coefficient method. The basic concept of the present algorithm is based on the transfer of sensitivity stiffness coefficient, which is the derivative of stiffness coefficient with respect to design parameter, at every node from the first node to the last node in analytical model. The effectiveness of the present algorithm is confirmed by comparing the results of the sensitivity analysis and those of the reanalysis for the natural frequencies of a torsional shafting with a constant cross section. In numerical calculation, the design parameter is the diameter of the shaft element of the torsional shafting.

The torsional stiffness of bars with L, [, +, I, and □ cross-section

  • Gorzelanczyk, Piotr;Tylicki, Henryk;Kolodziej, Jan A.
    • Steel and Composite Structures
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    • 제7권6호
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    • pp.441-456
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    • 2007
  • In literature for thin-walled sections with L, [, +, I, and ${\Box}$- shapes the approximate torsion equations for stiffness are used which were proposed by Bach (Hsu 1984), p.30. New formulae for torsional stiffness of bars with L, [, +, I, and ${\Box}$ cross section valid not only for thin-walled sections are presented in this paper. These formulae are obtained by appropriate polynomial approximation of stiffness results obtained by means of method of fundamental solutions. On the base of obtained results the validity of Bach's formulae are verified when cross section is not thin-walled.

인공신경망과 근전도를 이용한 인간의 관절 강성 예측 (Predicting the Human Multi-Joint Stiffness by Utilizing EMG and ANN)

  • 강병덕;김병찬;박신석;김현규
    • 로봇학회논문지
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    • 제3권1호
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    • pp.9-15
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    • 2008
  • Unlike robotic systems, humans excel at a variety of tasks by utilizing their intrinsic impedance, force sensation, and tactile contact clues. By examining human strategy in arm impedance control, we may be able to teach robotic manipulators human''s superior motor skills in contact tasks. This paper develops a novel method for estimating and predicting the human joint impedance using the electromyogram(EMG) signals and limb position measurements. The EMG signal is the summation of MUAPs (motor unit action potentials). Determination of the relationship between the EMG signals and joint stiffness is difficult, due to irregularities and uncertainties of the EMG signals. In this research, an artificial neural network(ANN) model was developed to model the relation between the EMG and joint stiffness. The proposed method estimates and predicts the multi joint stiffness without complex calculation and specialized apparatus. The feasibility of the developed model was confirmed by experiments and simulations.

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마찰시험기의 하중부과 방법과 수직방향 강성 변화에 따른 미끄럼 마찰특성 평가 (Evaluation of the Sliding Frictional Characteristics at the Different Loading Mechanisms and Normal Stiffness)

  • 윤의성;공호성;권오관;오재응
    • Tribology and Lubricants
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    • 제12권2호
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    • pp.55-64
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    • 1996
  • Frictional characteristics with the change of loading method and normal stiffness at dry sliding surfaces were experimentally and theoretically evaluated in this study. For the study, a ball-on-disk typed test rig was built and implemented, which allowed a proper selection of loading mechanism and normal stiffness of the test rig. Loading method were varied from dead weight to pneumatic cylinder and spring loading, and the normal stiffness was varied by a spring of different stiffness. Test results showed that frictional characteristics at various loading methods were different even though the operating variables were the same. Discrepancy in the frictional characteristics, such as coefficient of friction and fluctuation in the normal load, were explained by the change in dynamic parameters of the test rigs. Results also showed that coefficient of friction, which defines as a ratio of frictional force divided a normal load, could be differently evaluated in the calculation when fluctuation in the normal load was significant.