• 제목/요약/키워드: Curvature Theory

검색결과 200건 처리시간 0.025초

다중화된 광섬유센서를 이용한 강철도교의 가속도 유추 (Acceleration Estimation of a Steel Plate Girder Bridge using Multiplexed FBG Sensors)

  • 정원석;강동훈;김현민
    • 한국철도학회:학술대회논문집
    • /
    • 한국철도학회 2007년도 춘계학술대회 논문집
    • /
    • pp.1062-1067
    • /
    • 2007
  • This study presents an experimental technique to monitor the dynamic behavior of the railway bridge system simultaneously using multiplexed fiber Bragg grating (FBG) sensors. The measuring quantities include stains, curvatures, vertical deflections, and vertical accelerations. The strains are directly measured from multiplexed FBG sensors at various locations of the test bridge followed by curvature calculations based on the plane section assumption. Vertical deflections are then estimated using the Bernoulli beam theory and regression analysis. Finally, vertical accelerations are obtained from the numerical differentiation in time domain. In order to verify the proposed method, several conventional electric strain gauges, displacement transducers, and accelerometers are installed at the mid-span of the bridge for comparisons. A test train is passed over the bridge to monitor the dynamic response of the bridge. The monitoring results show that the multiplexed FBG sensing system is able to capture the essential behavior of the test bridge while resolving wiring problem in practice.

  • PDF

조화진동유동을 포함한 직선파이프계의 혼돈운동 연구 (Chaotic Vibration of a Straight Pipe Conveying Oscillatory Flow)

  • 박철희;홍성철;정욱
    • 소음진동
    • /
    • 제6권2호
    • /
    • pp.233-244
    • /
    • 1996
  • In this paper chaotic mothions of a straight pipe conveying oscillatory flow and being subjected to external forces such as earthquake are theoretically investigated. The nonlinear partial differential equation of motion is derived by Newton's method. In this equation, the nonlinear curvature of the pipe and the thermal expansion effects are contained. The nonlinear ordinary differential equation transformed from that partial differential equation is a type of Hill's equations, which have the parametric and external exciation term. This original system is transfered to the averaged system by the averaging theory. Bifurcation curves of chaotic motion of the piping system are obtained in the general case of the frequency ratio, n by applying Melnikov's method. Numerical simulations are performed to demonstrate theorectical results and show strange attactors of the chaotic motion.

  • PDF

비선형 탄성 복합재료 기둥의 임계 좌굴하중 계산 및 안정성 평가 (Stability Evaluation & Determination of Critical Buckling Load for Non-Linear Elastic Composite Column)

  • 주기호;정재호;강태진
    • 한국복합재료학회:학술대회논문집
    • /
    • 한국복합재료학회 2003년도 춘계학술발표대회 논문집
    • /
    • pp.215-219
    • /
    • 2003
  • Buckling and post-buckling Analysis of Ludwick type and modified Ludwick type elastic materials was carried out. Because the constitutive equation, or stress-strain relationship is different from that of linear elastic one, a new governing equation was derived and solved by $4^{th}$ order Runge-Kutta method. Considered as a special case of combined loading, the buckling under both point and distributed load was selected and researched. The final solution takes distinguished behavior whether the constitutive relation is chosen to be modified or non-modified Ludwick type as well as linear or non-linear. We also derived strain energy function for non-linear elastic constitutive relationship. By doing so, we calculated the criterion function which estimates the stability of the equilibrium solutions and determines critical buckling load for non-linear cases. We applied this theory to the constitutive relationship of fabric, which also is the non-linear equation between the applied moment and curvature. This results has both technical and mathematical significance.

  • PDF

감아굽힘 시험장치의 제작과 스프링백 비의 시험법에 대한 역학적 검토 (A Discussion on Measurement of Springback Ratio Using Winding Bend)

  • 김용우
    • 한국공작기계학회:학술대회논문집
    • /
    • 한국공작기계학회 2000년도 춘계학술대회논문집 - 한국공작기계학회
    • /
    • pp.95-101
    • /
    • 2000
  • To measure springback ratio of thin sheet or plate, winding bend rig is made. It bends a specimen with keeping its curvature constant and measures the bending angles before and after release of bending load. To check the performance of the bend rig, we calculated the bending moment by two ways which are based on simple beam theory. One is that the bending moment is calculated by using the results of bending test, and the other is that the moment is calculated by using the results of tensile tests. The former may entails the effect of the friction between bending pin of the rig and the surface of specimen, but the latter does not contain any effects of the friction since the bending moment is obtained by using tensile tests. Nevertheless, the values of the two bending moment shows the same level of bending moment, which implies that the friction does not influence on the value of springback ratio in spite of the presence of friction within the cope of the test performed in this experiment.

  • PDF

On nonlinear vibration behavior of piezo-magnetic doubly-curved nanoshells

  • Mirjavadi, Sayed Sajad;Bayani, Hassan;Khoshtinat, Navid;Forsat, Masoud;Barati, Mohammad Reza;Hamouda, A.M.S
    • Smart Structures and Systems
    • /
    • 제26권5호
    • /
    • pp.631-640
    • /
    • 2020
  • In this paper, nonlinear vibration behaviors of multi-phase Magneto-Electro-Elastic (MEE) doubly-curved nanoshells have been studied employing Jacobi elliptic function method. The doubly-curved nanoshell has been modeled by using nonlocal elasticity and classic shell theory. An exact estimation of nonlinear vibrational behavior of smart doubly-curved nanoshell has been obtained via Jacobi elliptic function method. This method can incorporate the influences of higher order harmonics leading to an exact estimation of nonlinear vibration frequency. It will be indicated that nonlinear vibrational frequency of doubly-curved nanoshell relies on nonlocal effect, material composition, curvature radius, center deflection and electro-magnetic field.

임상적 초음파 신호의 3차원 영상처리를 위한 알고리즘 (An Algorithm for 3-Dimensional Reconstruction of Clinical Ultrasonic Image)

  • 진영민;우광방;유형식
    • 대한전기학회논문지
    • /
    • 제38권8호
    • /
    • pp.658-666
    • /
    • 1989
  • In this paper, an efficient algorithm for estimation volume and surface area and a reconstruction algorithm for 3-dimensional graphics are presented.In order to improve computing efficiency, the graph theory is utilized and the algorithm to obtain proper contour points is developed by considering several tolerances. Search for the contour points is limited by the change of curvature of cross sectional contour to provide efficiency in searching the minimum cost path. In computer simulation of these algorithms, the results show that, for the tolerance values of 1.001 and 1.002, the execution time reduced to 66%-80% and the error for the measured value is less than 3%. The reconstructed 3-dimensional images from the cross sections can be analyzed in many directions using the graphic scheme.

  • PDF

Plastic collapse of tapered, tip-loaded cantilevered beams

  • Wilson, James F.;El-Esnawy, Nayer A.
    • Structural Engineering and Mechanics
    • /
    • 제9권6호
    • /
    • pp.569-588
    • /
    • 2000
  • The plastic collapse loads and their locations are predicted for a class of tapered, initially curved, and transversely corrugated cantilevered beams subjected to static tip loading. Results of both closed form and finite element solutions for several rigid perfectly plastic and elastic perfectly plastic beam models are evaluated. The governing equations are cast in nondimensional form for efficient studies of collapse load as it varies with beam geometry and the angle of the tip load. Static experiments for laboratory-scale configurations whose taper flared toward the tip, complemented the theory in that collapse occurred at points about 40% of the beams length from the fixed end. Experiments for low speed impact loading of these configurations showed that collapse occurred further from the fixed end, between the 61% and 71% points. The results may be applied to the design of safer highway guardrail terminal systems that collapse by design under vehicle impact.

SHORTEST PATH FOR ROBOT CAR

  • 김제성;이상복
    • 한국국방경영분석학회지
    • /
    • 제18권2호
    • /
    • pp.140-150
    • /
    • 1992
  • In this paper, we consider the shortest path problem of a Robot car moving in a workspace which consists of some obstacles. The motion of the Robot car is considered to have initial and final directions with some restrictions in the curvature of the path. At first we consider the problem in the case of having no obstacles and we give an analytical solution. Then wre present an algorithm to find a feasible path in the case of having obstacles and a method to improve this feasible path into a minimal path. Some computational results using Graph theory and Linear programming have been included.

  • PDF

A Diagnostic Imaging Case of Cervical Spinal Subluxation for Chuna Mannual Therapy: Cervical Malposition with OPLL

  • Na, Hyun-Jong;Chang, Seok-Gon
    • 대한한의학회지
    • /
    • 제37권4호
    • /
    • pp.45-48
    • /
    • 2016
  • Objectives: A diagnostic imaging in a fifty five year-old woman diagnosed orthopedically as ossification of posterior longitudinal ligament (OPLL) at C5 and C6 levels was reinterpreted for Chuna mannual therapy. The cervical spinal lesion in simple X-ray and CT scan images was discussed by spinal listing systems and disc block subluxation theory. The primary adjustive target was C4 disc block subluxation, which had been affected by kyphosis. Chuna manual therapy based on diagnostic images could be helpful for adjusting spinal subluxation, correcting its adaptation curvature, and preventing its latent pathology efficiently.

Nonlinear flexural vibration of shear deformable functionally graded spherical shell panel

  • Kar, Vishesh R.;Panda, Subrata K.
    • Steel and Composite Structures
    • /
    • 제18권3호
    • /
    • pp.693-709
    • /
    • 2015
  • In this article, nonlinear free vibration behaviour of functionally graded spherical panel is analysed. A nonlinear mathematical model is developed based on higher order shear deformation theory for shallow shell by taking Green-Lagrange type of nonlinear kinematics. The material properties of functionally graded material are assumed to be varying continuously in transverse direction and evaluated using Voigt micromechanical model in conjunction with power-law distribution. The governing equation of the shell panel is obtained using Hamilton's principle and discretised with the help of nonlinear finite element method. The desired responses are evaluated through a direct iterative method. The present model has been validated by comparing the frequency ratio (nonlinear frequency to linear frequency) with those available published literatures. Finally, the effect of geometrical parameters (curvature ratio, thickness ratio, aspect ratio and support condition), power law indices and amplitude of vibration on the frequency ratios of spherical panel have been discussed through numerical experimentations.