• Title/Summary/Keyword: nonlinear motion

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A Study on the Steady-State Cornering of a Vehicle Considering Roll Motion (롤 운동을 고려한 차량의 정상상태 선회주행에 관한 연구)

  • 이장무;윤중락;강주석;배상우;탁태오
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.6
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    • pp.89-102
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    • 1997
  • In this study, the steady state cornering behavior of a vehicle is investigated by using a numerical model that has parameters associated with roll motion. The nonlinear characteristics of tire cornering forces and aligning torques are presented in analytical forms using the magic formula. The sets of nonlinear algebraic equations that govern the cornering motion are solved by the Newton-Raphson iteration method. The vehicle design parameters are measured by SPMD(Suspension Parameter Measuring Device), and its results are verified by carrying out a skid pad test. The design parameters that are most affecting the steady state cornering behavior are classified into four factors, and the contributions of the factors to understeer gradient are then calculated.

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Dynamic Characteristics of Linear Motion Supported by Rolling Ball Bearings (볼 베어링을 사용하는 선형 운동 가이드의 동적 특성)

  • Choi Jae Seok;Yi Yong-sub;Kim Yoon Young;Lee Dong Jin;Lee Sung Jin;Yoo Jeonghoon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.9 s.90
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    • pp.868-876
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    • 2004
  • The linear motion(LM) guide using ball bearing has many advantages compared with conventional sliding guides. Therefore, LM guide using ball bearing has been widely used to increase the accuracy of the position of a system. This research investigates dynamic characteristics of LM guide through mainly linear analyses. Linear analysis is accomplished by Lagrange equation and the finite element method. And another trial that performs nonlinear analysis about one mode(bouncing mode) of LM guide from Hertzian contact theory is accomplished in the latter half of this research. Through nonlinear analysis we could observe the softening characteristic due to the Hertzian contact nonlinearity.

Nonlinear Motion for an Elliptic Cylinder under Free Surface (자유표면 아래의 타원형 실린더에 대한 비선형 운동)

  • 이호영;임춘규
    • Journal of the Society of Naval Architects of Korea
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    • v.41 no.4
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    • pp.38-44
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    • 2004
  • The motion response analysis of a submerged elliptic cylinder in waves is presented and the elliptic cylinder is a simplification of the section of submarine in this paper. The method is based on boundary integral method and two-dimensional 3 degree motions are calculated in regular harmonic waves. The fully nonlinear free surface boundary condition is assumed in an numerical domain and this solution is matched along an assumed boundary as a linear solution composed of transient Green function, The large amplitude motions of an elliptic cylinder are directly simulated and effects of wave frequency, wave amplitude and the distance from buoyancy center to gravity center are discussed.

Statistical evaluation of drift demands of rc frames using code-compatible real ground motion record sets

  • Kayhan, Ali Haydar;Demira, Ahmet
    • Structural Engineering and Mechanics
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    • v.60 no.6
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    • pp.953-977
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    • 2016
  • Modern performance-based design methods require ways to determine the factual behavior of structures subjected to earthquakes. Drift ratio demands are important measures of structural and/or nonstructural damage of the structures in performance-based design. In this study, global drift ratio and interstory drift ratio demands, obtained by nonlinear time history analysis of three generic RC frames using code-compatible ground motion record sets, are statistically evaluated. Several ground motion record sets compatible with elastic design spectra defined for the local soil classes in Turkish Earthquake Code are used for the analyses. Variation of the drift ratio demands obtained from ground motion records in the sets and difference between the mean of drift ratio demands calculated for ground motion sets are evaluated. The results of the study indicate that i) variation of maximum drift ratio demands in the sets were high; ii) different drift ratio demands are calculated using different ground motion record sets although they are compatible with the same design spectra; iii) the effect of variability due to random causes on the total variability of drift ratio demands is much larger than the effect of variability due to differences between the mean of ground motion record sets; iv) global and interstory drift ratio demands obtained for different ground motion record sets can be accepted as simply random samples of the same population at %95 confidence level. The results are valid for all the generic frames and local soil classes considered in this study.

Application of Perturbation Method to the Dynamic Analysis of Free-free Beam (자유-자유보의 동적해석에 대한 섭동법의 적용)

  • Kwak, Moon-K
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.1 s.94
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    • pp.46-52
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    • 2005
  • This paper is concerned with the application of perturbation method to the dynamic analysis of free-free beam. In general, the rigid-body motions and elastic vibrations are analyzed separately. However, the rigid-body motions cause vibrations and elastic vibrations also affect rigid-body motions in turn, which indicates that the rigid-body motions and elastic vibrations are coupled in nature. The resulting equations of motion are hybrid and nonlinear. We can discretize the equations of motion by means of admissible functions but still we have to cope with nonlinear equations. In this paper, we propose the use of perturbation method to the coupled equations of motion. The resulting equations consist of zero-order equations of motion which depict the rigid-body motions and first-order equations of motion which depict the perturbed rigid-body motions and elastic vibrations. Numerical results show the efficacy of the proposed method.

The influence of vertical ground motion on the seismic behavior of RC frame with construction joints

  • Yu, Jing;Liu, Xiaojun
    • Earthquakes and Structures
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    • v.11 no.3
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    • pp.407-420
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    • 2016
  • The aim of this study is to investigate the effect of vertical ground motion (VGM) on seismic behavior of reinforced concrete (RC) regular frame with construction joints, and determine more proper modeling method for cast-in-situ RC frame. The four-story RC frames in the regions of 7, 8 and 9 earthquake intensity were analyzed with nonlinear dynamic time-history method. Two different methods of ground motion input, horizontal ground motion (HGM) input only, VGM and HGM input simultaneously were performed. Seismic responses in terms of the maximum vertex displacement, the maximum inter-story drift distribution and the plastic hinge distribution were analyzed. The results show that VGM might increase or decrease the horizontal maximum vertex displacement depending on the value of axial load ratio of column. And it will increase the maximum inter-story drift and change its distribution. Finally, proper modeling method is proposed according to the distribution of plastic hinges, which is in well agreement with the actual earthquake damage.

A Study on Nonlinear Rocking Vibration Characteristics of Rigid Block (In the Case of Sliding Occurrence) (강체 블록의 비선형 로킹진동특성에 관한 연구 (미끄럼이 있는 경우))

  • 정만용;김정호;김선규;나기대;양인영
    • Journal of the Korean Society of Safety
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    • v.15 no.1
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    • pp.1-10
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    • 2000
  • This paper deals with rocking response behavior of rigid block structure subjected to horizontal excitation. A strict consideration of impact and sliding between the block and base is essential to investigate the rocking vibration characteristics because the rocking behavior were greatly influenced by the impact and sliding motion. Therefore, not only restitution coefficient between the block and base but also the energy dissipation rate which is associated with sliding motion, and the static and kinetic friction coefficient between those should be included in the modeling of rocking system. The analytic program was developed to be able to simulate the experimental responses of the block subjected to horizontal sinusoidal excitations. By using this program, rocking responses were numerically calculated by the nonlinear equations for rocking system. From the response simulation and rocking vibration experiment, the following results were obtained. The rocking responses are affected by the impact motion due to energy dissipation and friction and provide very complex behavior. The toppling condition of the block is also influenced by the impact motion and sliding motion.

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Second-order Motion Characteristics of a Semi-submersible Platform in Waves

  • Hong, Sa-Young;Nam, Bo-Woo;Kim, Jin-Ha;Kim, Young-Shik;Hong, Seok-Won;Kim, Young-Soo
    • International Journal of Ocean System Engineering
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    • v.1 no.3
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    • pp.155-164
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    • 2011
  • The second-order motion characteristics of a semi-submersible are investigated in regular waves. A higher-order boundary element method in a frequency domain and a finite element method in a time-domain were applied to the numerical analysis of the nonlinear hydrodynamic force and motion characteristics of semi-submersibles in view point of potential flow. Various aspects of nonlinear effects on the heave and roll of a semi-submersible were numerically investigated and some selected cases were compared with the model test data.

Application of Perturbation Method to the Dynamic Analysis of Free-free Beam (자유-자유보의 동적해석에 대한 섭동법의 적용)

  • Kwak, Moon-K.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.300-306
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    • 2004
  • This paper is concerned with the application of perturbation method to the dynamic analysis of free-free beam. In general, the rigid-body motions and elastic vibrations are analyzed separately. However, the rigid-body motions cause vibrations and elastic vibrations also affect rigid-body motions in turn, which indicates that the rigid-body motions and elastic vibrations are coupled in nature. The resulting equations of motion are hybrid and nonlinear. We can discretize the equations of motion by means of admissible functions but still we have to cope with nonlinear equations. In this paper, we propose the use of .perturbation method to the coupled equations of motion. The resulting equations consist of zero-order equations of motion which depict the rigid-body motions and first-order equations of motion which depict the perturbed rigid-body motions and elastic vibrations. Numerical results show the efficacy of the proposed method.

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Nonlinear Earthquake Response Analysis of a Soil-Structure Interaction System Subjected to a Three-Directional Ground Motion (3축 방향 지반운동이 작용하는 지반-구조물 상호작용계의 비선형 지진응답 해석)

  • Lee, Jin Ho;Kim, Jae Kwan;Kim, Jung Han
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.4
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    • pp.317-325
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    • 2016
  • In this study, nonlinear earthquake responses of a soil-structure interaction(SSI) system which is subjected to a three-directional ground motion are examined. The structure and the near-field region of soil, where the geometry is irregular, the material properties are heterogeneous, and nonlinear dynamic responses are expected, are modeled by nonlinear finite elements. On the other hand, the infinite far-field region of soil, which has a regular geometry and homogeneous material properties and dynamic responses is assumed linearly elastic, is represented by three-dimensional perfectly matched discrete layers which can radiate elastic waves into infinity efficiently. Nonlinear earthquake responses of the system subjected to a three-directional ground motion are calculated with the numerical model. It is observed that the dynamic responses of a SSI system to a three-directional motion have a predominant direction according to the characteristics of the ground motion. The responses must be evaluated using precise analysis methods which can consider nonlinear behaviors of the system accurately. The the method employed in this study can be applied easily to boundary nonlinear problems as well as material nonlinear problems.