• Title/Summary/Keyword: Plane of motion

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Nonlinear stability and bifurcations of an axially accelerating beam with an intermediate spring-support

  • Ghayesh, Mergen H.;Amabili, Marco
    • Coupled systems mechanics
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    • v.2 no.2
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    • pp.159-174
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    • 2013
  • The present work aims at investigating the nonlinear dynamics, bifurcations, and stability of an axially accelerating beam with an intermediate spring-support. The problem of a parametrically excited system is addressed for the gyroscopic system. A geometric nonlinearity due to mid-plane stretching is considered and Hamilton's principle is employed to derive the nonlinear equation of motion. The equation is then reduced into a set of nonlinear ordinary differential equations with coupled terms via Galerkin's method. For the system in the sub-critical speed regime, the pseudo-arclength continuation technique is employed to plot the frequency-response curves. The results are presented for the system with and without a three-to-one internal resonance between the first two transverse modes. Also, the global dynamics of the system is investigated using direct time integration of the discretized equations. The mean axial speed and the amplitude of speed variations are varied as the bifurcation parameters and the bifurcation diagrams of Poincare maps are constructed.

An analytical study on the nonlinear vibration of a double-walled carbon nanotube

  • Hajnayeb, Ali;Khadem, S.E.
    • Structural Engineering and Mechanics
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    • v.54 no.5
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    • pp.987-998
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    • 2015
  • In this paper, free vibrations of a clamped-clamped double-walled carbon nanotube (DWNT) under axial force is studied. By utilizing Euler-Bernoulli beam theory, each layer of DWNT is modeled as a beam. In this analysis, nonlinear form of interlayer van der Waals (vdW) forces and nonlinearities aroused from mid-plane stretching are also considered in the equations of motion. Further, direct application of multiple scales perturbation method is utilized to solve the obtained equations and to analyze free vibrations of the DWNT. Therefore, analytical expressions are found for vibrations of each layer. Linear and nonlinear natural frequencies of the system and vibration amplitude ratios of inner to outer layers are also obtained. Finally, the results are compared with the results obtained by Galerkin method.

Focal Mechanisms of earthquakes occured in 2001, 2002, (2001, 2002년 발생 지진의 발진기구 특성)

  • 신진수;강익범;박윤경
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.03a
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    • pp.16-22
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    • 2003
  • The focal mechanisms of the earthquakes occurred in 2001 and 2002 are analyzed to understand the regional stress and tectonics in and around Korean Peninsula. The forty -three fault plane solutions are derived using the polarities of first arrival P-waves recorded at KIGAM, Bmh and KEPRI stations. The result suggest that thrust motion with significant amount of strike slip component is dominant mode of faulting. The larger population of mechanism is characterized by WNW-ESE striking nodal planes. NE-SW direction is interpreted as dominant compressional axis orientation of stress field. These solutions are similar to those of medium size earthquakes studied previously, which is known as typical regional tectonic stress orientation in and around Korean Peninsula.

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An Analysis of the Stability of Externally Pressurized Air-Lubricated Journal Bearings (외부가압 공기윤활 저어널베어링의 안정성에 관한 해석)

  • 임종락;김경웅;김금모
    • Tribology and Lubricants
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    • v.6 no.1
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    • pp.74-81
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    • 1990
  • The threshold of instability for a rigid rotor supported in externally pressurized airlubricated circular or non-circular journal bearings of finite length is theoretically analyzed. The analysis is performed for a bearing having one feeding plane, no recess volume, which is assumed to be a line source, and is based on a first order perturbation of journal center motion about steady state position. And then linearized system dynamic analysis is carried out. Numerical results are given, showing the threshold of instability as a function of supply pressure ratio, feeding parameter and load. It is shown that the region that 2-lobe bearing is more stable than circular bearing exists and whirl ratio of 2-lobe bearing is less than that of the other types of bearing.

Seismic Damage Analysis Of Concrete Gravity Dam Using ABAQUS (ABAQUS 소프트웨어를 이용한 콘크리트 중력댐의 지진손상해석)

  • Shin, Dong-Hoon;Nghia, Nguyen Trong;Park, Han-Gyu;Park, Kyung-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.530-533
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    • 2009
  • This study deals with 2D and 3D nonlinear seismic damage analysis of a concrete gravity dam using the finite element program ABAQUS and the concrete damaged plasticity model. 2D and 3D spillway sections of the dam are simulated. First the frequency analysis is conducted to compare the fundamental frequency and estimate the value of damping coefficient. Then the seismic analysis is conducted using the simulated ground acceleration motion. The relative displacement between the crest and bottom of the dam is obtained and compared for the maximum value and occurrence time. The results indicate that the plane-stress assumption gives similar results of maximum relative displacement and final damage distribution with 3D analysis.

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A Numerical Study on the Triboelectrostatic Separation of PVC Materials From Mixed Plastics for Waste Plastic Recycling

  • Ha, Man-Yeong;Jeon, Chung-Hwan;Park, Doo-Seong;Park, Hae-Jin
    • Journal of Mechanical Science and Technology
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    • v.17 no.10
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    • pp.1485-1495
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    • 2003
  • We investigate the triboelectrostatic separation of polyvinylchloride (PVC) from mixed plastics in the laboratory scale triboelectrostatic separation system. The flow and electric fields in the precipitator are obtained from the numerical solution of finite volume method. Using these flow and electric fields, we solved the particle motion equation considering the inertia, drag, gravity and electrostatic forces acted on the particles. The particle trajectories are obtained using a Lagrangian method as a function of different important variables such as Reynolds number, Stokes number, electrostatic force, electric charge and electric field distribution, inclined angle of plane electrodes, particle rebounding, particle charge decay rate after impact on the electrode surface, etc., in order to determine the optimal design conditions. The present predicted results for the cumulative yield represent well the experimental ones.

A Study on the Mechanism of Rotational Stage for Optical Fiber Alignment (다채널 광소자 정렬 장치의 회전스테이지 구동 메커니즘 연구)

  • Jeong S.H.;Cha K.R.;Kim H.U.;Choi S.B.;Kim G.H.;Park J.H.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.1514-1517
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    • 2005
  • In recent years, as the demands of VBNS(Very high speed Backbone Network Service) and VDSL(Very high-data rate Digital Subscriber Line) increase, the development of kernel parts of optical communication such as PLC(Planar Light Circuit), Coupler, WDM elements increase. The alignment and the attachment technology are very important to fabricate the optical elements for communication. In this paper, the mechanism of rotational stage are studied. with the three different method and the results of them are applied to the design of the system. The performance test of resolution and travel is performed.

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The Comparison of Strength of pier in Different provisions (비보강 조적조 기준들의 강도식 비교)

  • 김홍범;이준석;한상환
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2001.04a
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    • pp.312-319
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    • 2001
  • The purpose of this study is to evaluate the strength of piers subjected to earthquake ground motion. In particular, the piers of an unreinforced masonry wall under in-plane seismic loading are considered with emphasis. For this purpose, several pier strength equations in seismic rehailitation provisions such as UCBC, FEMA 178, FEMA 273, and FEMA 306 are compared. This strength equations in different provision are applied for calculating the strength of a pier in building. According to the results of this study, it is shown that the assessment procedure based on FEMA 178 overestimated pier strengths comparing to other provisions when all piers are in Rocking-controlled mode.

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Moving Stereo Vision-based Motion Plan by Recognizing the Obstacle Height for Intelligent Mobile Robot

  • Yoon, Yeo-Hong;Jo, Kang-Hyun;Kang, Hyun-Deok;Moon, In-Hyuk
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.91.2-91
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    • 2001
  • This paper describes the path planning of an autonomous mobile robot using one camera-based sequence image processing. As an assumption, all objects in front of the mobile robot are located on the same plane where robot moves. Using the moving camera grounded on the autonomous mobile robot, the robot extracts the angular points of obstacle objects, calculates the height using the assumption and discrepancy between two consecutive images. In the image processing, angular points of objects must correspond so that they deliver the size of objects. Thus, the robot passes through if the object has not the height, like the paper or the shadow projected. Otherwise, the robot passes aside if ...

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Static and dynamic stability of cracked multi-storey steel frames

  • Sabuncu, Mustafa;Ozturk, Hasan;Yashar, Ahmed
    • Structural Engineering and Mechanics
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    • v.58 no.1
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    • pp.103-119
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    • 2016
  • Multi-storey frame structures are frequently exposed to static and dynamic forces. Therefore analyses of static (buckling) and dynamic stability come into prominence for these structures. In this study, the effects of number of storey, static and dynamic load parameters, crack depth and crack location on the in-plane static and dynamic stability of cracked multi-storey frame structures subjected to periodic loading have been investigated numerically by using the Finite Element Method. A crack element based on the Euler beam theory is developed by using the principles of fracture mechanics. The equation of motion for the cracked multi-storey frame subjected to periodic loading is achieved by Lagrange's equation. The results obtained from the stability analysis are presented in three dimensional graphs and tables.