• 제목/요약/키워드: solution in closed-form

검색결과 418건 처리시간 0.033초

지진하중을 받는 다층 건물에 설치된 마찰감쇠기 설계 (Design of Friction Dampers installed at a Multi-Story Building under Seismic Load)

  • 성지영;민경원
    • 한국전산구조공학회논문집
    • /
    • 제24권4호
    • /
    • pp.457-462
    • /
    • 2011
  • 본 논문은 지진응답을 제어하기 위해 다층 건물에 설치된 마찰감쇠기의 간단한 설계절차를 제안하였다. 마찰감쇠기는 비선형성이 강하므로 마찰감쇠기가 설치된 건물의 제어효과를 파악하는 것은 어렵다. 마찰감쇠기의 제어력은 층간속도에 영향을 받으므로, 인접한 모드가 서로 연계된다. 따라서 응답은 공진일 때 안정상태응답으로 가정하여 유도하였다. 첫째로 지진하중에 대한 정해응답을 구하는 것은 불가능하므로 조화가진을 받을 때의 근사해를 유도하였다. 둘째, 다층 건물을 단자유도로 변환하기 위해서 모드해석이 수행되었다. 셋째, 근사해를 이용하여 등가감쇠비를 유도하였다. 그리고 등가감쇠비를 이용하여 응답감소계수를 제안하였다. 마지막으로, 마찰감쇠기의 마찰력을 응답감소계수에 의해 설계하고 설계된 감쇠기를 7개의 지진파를 통해 검증하였다. 비선형해석 결과가 제안된 절차의 유효성을 확인하였다.

Forced vibration analysis of a dam-reservoir interaction problem in frequency domain

  • Keivani, Amirhossein;Shooshtari, Ahmad;Sani, Ahmad Aftabi
    • Interaction and multiscale mechanics
    • /
    • 제6권4호
    • /
    • pp.357-375
    • /
    • 2013
  • In this paper, the forced vibration problem of an Euler-Bernoulli beam that is joined with a semi-infinite field of a compressible fluid is considered as a boundary value problem (BVP). This BVP includes two partial differential equations (PDE) and some boundary conditions (BC), which are introduced comprehensively. After that, the closed-form solution of this fluid-structure interaction problem is obtained in the frequency domain. Some mathematical techniques are utilized, and two unknown functions of the BVP, including the beam displacement at each section and the fluid dynamic pressure at all points, are attained. These functions are expressed as an infinite series and evaluated quantitatively for a real example in the results section. In addition, finite element analysis is carried out for comparison.

Forced vibration analysis of a dam-reservoir interaction problem in frequency domain

  • Keivani, Amirhossein;Shooshtari, Ahmad;Sani, Ahmad Aftabi
    • Coupled systems mechanics
    • /
    • 제3권4호
    • /
    • pp.385-403
    • /
    • 2014
  • In this paper, the forced vibration problem of an Euler-Bernoulli beam that is joined with a semi-infinite field of a compressible fluid is considered as a boundary value problem (BVP). This BVP includes two partial differential equations (PDE) and some boundary conditions (BC), which are introduced comprehensively. After that, the closed-form solution of this fluid-structure interaction problem is obtained in the frequency domain. Some mathematical techniques are utilized, and two unknown functions of the BVP, including the beam displacement at each section and the fluid dynamic pressure at all points, are attained. These functions are expressed as an infinite series and evaluated quantitatively for a real example in the results section. In addition, finite element analysis is carried out for comparison.

Simple P-I diagram for structural components based on support rotation angle criteria

  • Kee, Jung Hun;Park, Jong Yil
    • Advances in concrete construction
    • /
    • 제10권6호
    • /
    • pp.509-514
    • /
    • 2020
  • In the preliminary design phase of explosion-proof structures, the use of P-I diagram is useful. Based on the fact that the deformation criteria at failure or heavy damage is significantly larger than the yield deformation, a closed form solution of normalized P-I diagram is proposed using the complete plastic resistance curve. When actual sizes and material properties of RC structural component are considered, the complete plasticity assumption shows only a maximum error of 6% in terms of strain energy, and a maximum difference of 9% of the amount of explosives in CWSD. Thru comparison with four field test results, the same damage pattern was predicted in all four specimens.

얇은 유전체의 산란특성 해석을 위한 근사식 (An Approximate Formulation for Scattering by Very Thin Dielectric Scatters)

  • Koh, Il-Suek
    • 한국전자파학회논문지
    • /
    • 제15권8호
    • /
    • pp.765-774
    • /
    • 2004
  • 본 논문에서 얇은 균질 유전체의 산란해석을 위한 근사식이 유도된다. 이 해는 volumetric integral equation을 바탕으로 Fourier transform형식으로 나타내어진다. 얇은 무한 평면구조에서는 구한 식은 정확한 해로 떨어지며 다른 2D 또는 3D 구조에 대해서는 수치해석 결과와 비교하여 구한 식의 유용성을 보였다. 특히 TM파가 edge-on 방향으로 입사할 경우 반 무한 평면 구조에서의 산란에 대한 closed-form식을 구했다. 구한 식은 넓은 범위의 유전률에 대해 정확한 결과를 예측한다.

순방향 링크 AOA 측정치를 이용한 CFS 방법의 성능 개선 (Development of a Modified CFS Method in Forward-Link AOA Positioning)

  • 임현자;박지원;송승헌;성태경
    • 전기학회논문지
    • /
    • 제58권3호
    • /
    • pp.639-644
    • /
    • 2009
  • This paper presents a modified CFS (Closed-Form Solution) for FLAOA (Forward Link AOA) measurements. During when the pseudo-measurement equation for FLAOA is derived, the angle measurement noise is treated more carefully in approximation. As the covariance matrix of the pseudo-measurement noise is influenced by unknown user positions and azimuth, a two-step estimation technique is used in the proposed CFS. The performance of the proposed CFS for FLAOA is compared to that of the conventional CFS for FLAOA and RLAOA (Reverse Link AOA) in a computer simulation. Simulation results show that the proposed method is potentially suitable for applications involving the localization and guidance of indoor mobile robots.

'Modularised' Closed-Form Mathematical model for predicting the bracing performance of plasterboard clad walls

  • Liew, Y.L.;Gad, E.F.;Duffield, C.F.
    • Structural Engineering and Mechanics
    • /
    • 제20권1호
    • /
    • pp.45-67
    • /
    • 2005
  • This paper presents a new approach to predict the racking load-displacement response of plasterboard clad walls found in Australian light-framed residential structures under monotonic racking load. The method is based on a closed-form mathematical model, described herein as the 'Modularised' Closed-Form Mathematical model or MCFM model. The model considers the non-linear behaviour of the connections between the plasterboard cladding and frame. Furthermore, the model is flexible as it enables incorporation of different nailing patterns for the cladding. Another feature of this model is that the shape of stud deformation is not assumed to be a specific function, but it is computed based on the strain energy approach to take account of the actual load deformation characteristics of particular walls. Verification of the model against the results obtained from a detailed Finite Element (FE) model is also reported. Very good agreement between the closed form solution and that of the FE model was achieved.

개선된 보간 알고리즘을 이용한 $H^{\infty}$-최적화 ($H^{\infty}$-optimization using the modified interpolation algorithm)

  • 이태형;윤한오;박홍배
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
    • /
    • pp.46-51
    • /
    • 1991
  • An algorithm of finding a solution to an $H^{\infty}$-minimization problem is proposed, and the solution is obtained explicity in terms of closed-form. We construct an optimal controller subject to the interpolation constraints such that $H^{\infty}$-norm and the minimized value of transfer function matrix are equal.l.

  • PDF

2족 보행 로봇의 역기구학에 관한 연구 (A Study on the Inverse Kinematics for a Biped Robot)

  • 성영휘
    • 제어로봇시스템학회논문지
    • /
    • 제9권12호
    • /
    • pp.1026-1032
    • /
    • 2003
  • A biped walking robot which is developed as a platform for researching walking algorithm is briefly introduced. The developed walking robot has 6 degrees of freedom per one leg. The origins of the last three axis do not intersect at a point, so the kinematic analysis is cubmersome with the conventional method. In the former version of the robot, Jacobian-based inverse kinematics method is used. However, the Jacobian-based inverse kinematics method has drawbacks for the application in which knee is fully extended such as stair-case walking. The reason far that is the Jacobian becomes ill-conditioned near the singular points and the method is not able to give adequate solutions. So, a method for giving a closed-form inverse kinematics solution is proposed. The proposed method is based on careful consideration of the kinematic structure of the biped walking robot.

원료불출기의 역기구학 : 여유자유도와 구속조건을 이용한 닫힌 형태의 해 (Inverse Kinematics of a Serial Manipulator : Redundancy and a Closed-rom Solution by Exploting Geomertiric Constraints)

  • 홍금식;김영민;최진태;신기태;염영일
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 1996년도 춘계학술대회 논문집
    • /
    • pp.661-665
    • /
    • 1996
  • An inverse kinemetics problem of a reclaimer which digs and transports ironstones or coals in the raw yard is investigated. Because of the special features of the reclaimer of which scooping buckets are attached around the rotating drum at the end of boom, kinematic redundancy occurs in determining the joint varialbes For a given reclaiming point in space the forward kinematics yields 3 equations, however the number of involved variables in the equations are four. A plane equation approximating the surface near a reclaiming point is obtained by considering 8 adjacent points surrounding the reclaiming point. One extra equation to overcome redunduncyis further obtained from the condition that the normal vector at a reclaiming point is perpendicular to the plane. An approximate solution for a simplified problem is first discussed, Numerical solution for the oritinal nonlinear porblem with a constraint equation is also investigated. Finally a closed form solution which is not exact but sufficiently close enough is proposed by exploiting geometric constraint.

  • PDF