• Title/Summary/Keyword: inertia effect

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Exact vibration of Timoshenko beam combined with multiple mass spring sub-systems

  • El-Sayed, Tamer A.;Farghaly, Said H.
    • Structural Engineering and Mechanics
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    • v.57 no.6
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    • pp.989-1014
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    • 2016
  • This paper deals with the analysis of the natural frequencies, mode shapes of an axially loaded beam system carrying ends consisting of non-concentrated tip masses and three spring-two mass sub-systems. The influence of system design and sub-system parameters on the combined system characteristics is the major part of this investigation. The effect of material properties, rotary inertia and shear deformation of the beam system is included. The end masses are elastically supported against rotation and translation at an offset point from the point of attachment. Sub-systems are attached to center of gravity eccentric points out of the beam span. The boundary conditions of the ordinary differential equation governing the lateral deflections and slope due to bending of the beam system including developed shear force frequency dependent terms, due to the sub.system suspension, have been formulated. Exact formulae for the modal frequencies and the modal shapes have been derived. Based on these formulae, detailed parametric studies are carried out. The geometrical and mechanical parameters of the system under study have been presented in non-dimensional analysis. The applied mathematical model is presented to cover wide range of mechanical, naval and structural engineering applications.

A new approach to modeling the dynamic response of Bernoulli-Euler beam under moving load

  • Maximov, J.T.
    • Coupled systems mechanics
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    • v.3 no.3
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    • pp.247-265
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    • 2014
  • This article discusses the dynamic response of Bernoulli-Euler straight beam with angular elastic supports subjected to moving load with variable velocity. A new engineering approach for determination of the dynamic effect from the moving load on the stressed and strained state of the beam has been developed. A dynamic coefficient, a ratio of the dynamic to the static deflection of the beam, has been defined on the base of an infinite geometrical absolutely summable series. Generalization of the R. Willis' equation has been carried out: generalized boundary conditions have been introduced; the generalized elastic curve's equation on the base of infinite trigonometric series method has been obtained; the forces of inertia from normal and Coriolis accelerations and reduced beam mass have been taken into account. The influence of the boundary conditions and kinematic characteristics of the moving load on the dynamic coefficient has been investigated. As a result, the dynamic stressed and strained state has been obtained as a multiplication of the static one with the dynamic coefficient. The developed approach has been compared with a finite element one for a concrete engineering case and thus its authenticity has been proved.

Effect of bridge lateral deformation on track geometry of high-speed railway

  • Gou, Hongye;Yang, Longcheng;Leng, Dan;Bao, Yi;Pu, Qianhui
    • Steel and Composite Structures
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    • v.29 no.2
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    • pp.219-229
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    • 2018
  • This paper presents an analytical model to analyze the mapping relationship between bridge lateral deformation and track geometry of high-speed railway. Based on the rail deformation mechanisms, the deformation of track slab and rail at the locations of fasteners are analyzed. Formulae of rail lateral deformation are derived and validated against a finite element model. Based on the analytical model, a rail deformation extension coefficient is presented, and effects of different lateral deformations on track geometry are evaluated. Parametric studies are conducted to evaluate the effects of the deformation amplitude, fastener stiffness and mortar layer stiffness on the rail deformation. The rail deformation increases with the deformation of the girder, and is dependent on the spacing of the fasteners, the elastic modulus of the rail's material, and the moment of inertia of the rail's section.

Curved Beam Theory Based On Centroid-Shear Center Formulation (도심-전단중심 정식화를 이용한 개선된 곡선보이론)

  • Kim Nam-Il;Kyung Yong-Soo;Kim Moon-Young
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.1033-1039
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    • 2006
  • To overcome the drawback of currently available curved beam theories having non-symmetric thin-walled cross sections, a curved beam theory based on centroid-shear center formulation is presented for the spatially coupled free vibration and elastic analyses. For this, the elastic strain and kinetic energies considering the thickness-curvature effect and the rotary inertia of curved beam are derived by degenerating the energies of the elastic continuum to those of curved beam. And then the equilibrium equations and the boundary conditions are consistently derived for curved beams having non-symmetric thin-walled cross section. It is emphasized that for curved beams with L- or T-shaped sections, this thin-walled curved beam theory can be easily reduced to tl1e solid beam theory by simply putting the sectional properties associated with warping to zero. In order to illustrate the validity and the accuracy of this study, FE solutions using the Hermitian curved beam elements are presented and compared with the results by previous research and ABAQUS's shell elements.

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The effects of circadian disturbances induced by night shifts on the mouse peripheral tissues

  • Seo, Dong-Hyun;Kim, Han-Sung;Ko, Chang-Yong;Schreiber, Jurgen;Jang, Yeong-Su;Bae, Kiho
    • Animal cells and systems
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    • v.16 no.5
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    • pp.357-365
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    • 2012
  • We have examined the effect of circadian disturbances induced by night shifts (NSs) on the phenotypes of the tibiae and abdominal adipose tissues (ADTs) in a mouse model by using in vivo micro-computed tomography (micro-CT). We found that the volumes of total and visceral ADTs in the night-shifted group of mice were significantly larger (69 and 92%, respectively) than those in the control. The mean polar moment of inertia, cross-sectional thickness, and bone mineral density of the cortical bone in the night-shifted group of mice were less (13, 5, and 3%, respectively) than those in the control. Moreover, the volume and the thickness of growth plates (GPs) of the tibiae in the night-shifted mice were significantly smaller (22 and 20%, respectively) than those in the control. Taken together, our results indicate that disturbances in the mouse circadian rhythms induced by NSs affect the morphological characteristics of cortical bone, the volume and the thickness of GPs, and the volume of ADTs.

PMDV-hop: An effective range-free 3D localization scheme based on the particle swarm optimization in wireless sensor network

  • Wang, Wenjuan;Yang, Yuwang;Wang, Lei;Lu, Wei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.12 no.1
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    • pp.61-80
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    • 2018
  • Location information of individual nodes is important in the implementation of necessary network functions. While extensive studies focus on localization techniques in 2D space, few approaches have been proposed for 3D positioning, which brings the location closer to the reality with more complex calculation consumptions for high accuracy. In this paper, an effective range-free localization scheme is proposed for 3D space localization, and the sensitivity of parameters is evaluated. Firstly, we present an improved algorithm (MDV-Hop), that the average distance per hop of the anchor nodes is calculated by root-mean-square error (RMSE), and is dynamically corrected in groups with the weighted RMSE based on group hops. For more improvement in accuracy, we expand particle swarm optimization (PSO) of intelligent optimization algorithms to MDV-Hop localization algorithm, called PMDV-hop, in which the parameters (inertia weight and trust coefficient) in PSO are calculated dynamically. Secondly, the effect of various localization parameters affecting the PMDV-hop performance is also present. The simulation results show that PMDV-hop performs better in positioning accuracy with limited energy.

Automatic Landing System using a Trajectory of Laser Beam (레이저 빔 궤적을 이용한 자동 랜딩 시스템)

  • Hwang, Jin-Ah;Nam, Gi-Gun;Lee, Jang-Myung
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.1
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    • pp.39-45
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    • 2007
  • This paper proposes a method of container position measurement using automatic landing system that is estimated by a laser range finder. In the most of container position measurement methods, CCD cameras or laser scanners have been used to get the source data. However those sensors are not only weak for disturbances, for examples, the light, fog, and rain, but also the system cost is high. When the spreader arrives at the goal position, it is still swung by inertia or by wind effect. In this paper, the spreader swung data have been used to find the container position. The laser range finder is equipped in the front side of spreader. It can measure distance and relative position between spreader and container. This laser range finder can be rotated as desired by a motor. And a tilt sensor is equipped on the spreader to measure spreader sway. The relative position information between the spreader and a container using the laser range finder and tilt sensor is estimated through the geometrical analysis.

Studies on Coupled Vibrations of Diesel Engine Propulsion Shafting (2nd Report : Analyzing of Forced Vibration with Damping) (디젤기관 추진축계의 연성진동에 관한 연구 (제2보: 강제 감쇠 연성진동 해석))

  • 이돈출;김의간;전효중
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2000.11a
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    • pp.99-107
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    • 2000
  • With the results of calculation for natural frequencies, the forced reponses of coupled vibration of propulsion shafting were analysed by the modal analysis method. For the forced response analysis, axial exciting forces, axial damper/detuner, propeller exciting forces and damping coefficients were extensively investigated. As the conclusion of this study, some items are cleared as next. - The torsional amplitudes are not influenced by the radial excitation forces. - The axial vibrational amplitudes are influenced by the tangential exciting forces. An increase of amplitude is observed for the speed range in the neighbourhood of any torsional critical speed. - The coupling effect becomes larger if torsional and axial critical speed are closer together. - The axial exciting force of propeller is relatively strong, comparing with those of axial forces of cylinder gas pressure and oscillating inertia of reciprocating mechanism. Therefore, as a resume one can say, that- Torsional vibration calculation with the classical one dimension model is still valid. - The influence of torsional excitation at each crank upon the axial vibration is impotent, especially in the neighbourhood of a torsional critical speed. That means that the calculation of axial vibration with the classical one dimension model is insufficient in most of cases. - The torsional exciting torque of propeller can be neglected in most of cases. But, the axial exciting forces of propeller can not be neglected for calculating axial vibration of propulsion shafting.

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A Study on Section Properties of Partially Concrete-Filled New Type Composite Beam (부분매입형 신형상 합성보의 단면성능에 관한 연구)

  • Yoon, Myung-Ho;Lee, Yoon-Hee;Lee, Ye-Seul
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.4 no.3
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    • pp.7-12
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    • 2013
  • The demand for the structural system of reduction of story height increases because buildings are getting higher. The existing structural systems are not efficiency. Thus, it is hard to reduce the story height and existing methods cannot secure economics as expected. This study aims at developing the partially concrete-filled new type composite beam, which can efficiently resist against the end negative moment and central positive moment, also reduce deflection of beams. Through case studies on loading of concentrated load and uniformly distributed load to fixed beam, we could find the most efficient ratio of moment of inertia and the ratio ${\alpha}$(end beam length to span). The gap space between middle and end beam can be used as facilities installation, consequently the suggested Omega beam system is expected to get the effect of reduction in story height as well as reduction of quantity.

Quantification of Clinical assessment of Rigidity in patients with Parkinson's Disease (파킨슨병 환자의 경직에 대한 임상적 평가의 정량화)

  • Lee, Jae-Ho;Kim, Ji-Won;Kwon, Yu-Ri;Eom, Gwang-Moon;Koh, Seong-Beom;Kim, Hyung-Sik;Yi, Jeong-Han;Lee, Jeong-Whan
    • Journal of Biomedical Engineering Research
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    • v.31 no.4
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    • pp.275-279
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    • 2010
  • The purpose of this study was to quantify the clinical assessment of rigidity at wrist in patients with Parkinson's disease. The experimental system was designed that the effect of gravity was negated by restricting motion at the horizontal plane and inertia was predetermined from a biomechanical measurement. Forty five patients with Parkinson's disease participated in this study. Viscoelastic properties were calculated from the experimental data acquired during intermittent passive movement of wrist. Viscoelastic constants correlated well with the rigidity scores of UPDRS, i.e., Spearman's r=0.733 and 0.905 for spring and damping constants, respectively. The results suggest that viscoelastic properties can be used as quantitative measures of rigidity.