• Title/Summary/Keyword: forced terms

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Non linear vibrations of stepped beam system under different boundary conditions

  • Ozkaya, E.;Tekin, A.
    • Structural Engineering and Mechanics
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    • v.27 no.3
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    • pp.333-345
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    • 2007
  • In this study, the nonlinear vibrations of stepped beams having different boundary conditions were investigated. The equations of motions were obtained using Hamilton's principle and made non dimensional. The stretching effect induced non-linear terms to the equations. Forcing and damping terms were also included in the equations. The dimensionless equations were solved for six different set of boundary conditions. A perturbation method was applied to the equations of motions. The first terms of the perturbation series lead to the linear problem. Natural frequencies for the linear problem were calculated exactly for different boundary conditions. Second order non-linear terms of the perturbation series behave as corrections to the linear problem. Amplitude and phase modulation equations were obtained. Non-linear free and forced vibrations were investigated in detail. The effects of the position and magnitude of the step, as well as effects of different boundary conditions on the vibrations, were determined.

Forced vibration of surface foundation on multi-layered half space

  • Chen, Lin
    • Structural Engineering and Mechanics
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    • v.54 no.4
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    • pp.623-648
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    • 2015
  • A numerical approach is presented for the analysis of the forced vibration of a rigid surface foundation with arbitrary shape. In the analysis, the foundation is discretized into a number of sub squaree-lements. The dynamic response within each sub-element is described by the Green's function, which is obtained by the Fourier-Bessel transform and Precise Integration Method (PIM). Incorporating the displacement boundary condition and force equilibrium of the foundation, it obtains a system of linear algebraic equation in terms of the contact forces within each sub-element. Solving the equation leads to the desired dynamic impedance functions of the foundation. Numerical results are obtained for foundation not only with simple geometrical configurations, such as rectangular and circular foundation, but also the case of irregularly shaped foundation. Several comparisons between the proposed approach and other methods are made. Very good agreement is reached. Also, parametric studies are carried out on the dynamic response of foundation. Addressed in this study are the effects of Poisson's ratio, material damping and contact condition of soil-foundation interface. Several conclusions are drawn the significance of the factors.

Torsional Vibration Characteristics of Nonuniform Circular Rods (불균일 원형 봉의 비틀림 진동 특성)

  • 정형곤;김진오
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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    • pp.609-616
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    • 2001
  • The vibrational characteristics of nonuniform circular rods have been studied theoretically and experimentally in this paper. The differential equation of torsional motion expressed in terms of the angular displacement has been solved exactly and approximately for a stepped circular rod and for a conically-tapered rod. Solutions of the boundary-value problem have yielded the natural frequencies, mode shapes and forced responses of the rods. The theoretical solutions of forced response have been verified by comparing them with experimental ones.

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Predictive Factors Affected to Forced Vital Capacity in Children with Cerebral Palsy (뇌성마비 아동에서 노력성 폐활량에 영향을 미치는 요인 분석에 관한 연구)

  • Nam, Ki Seok;Lee, Hye Young
    • The Journal of Korean Physical Therapy
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    • v.25 no.4
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    • pp.204-209
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    • 2013
  • Purpose: Children with cerebral palsy generally have a high incidence of respiratory problem, resulted from poor coughing, airway clearance problem, respiratory muscle weakness, kyphoscoliosis and so forth. The purpose of this study is to investigate the possible factors that can be affected to forced vital capacity (FVC) in children with cerebral palsy. Methods: Total thirty six children with diplegic and hemiplegic cerebral palsy were recruited in this study. They were evaluated by general demographic data (i.e., age, gender, body mass index (BMI)) and variables related to respiratory functions (i.e., chest mobility, waist mobility, maximal phonation time, and maximum inspiratory/expiratory pressure (MIP/MEP)). The correlation between forced vital capacity and the rested variables were analyzed, and multiple regression with stepwise method was conducted to predict respiratory function, in terms of FVC as the dependent variable, and demographic and other respiratory variables as the independent variable. Results: FVC showed a significant correlation with waist mobility (r=0.59, p<0.01), maximal phonation time (r=0.48, p<0.05), MIP (r=0.73, p<0.01), and MEP (r=0.60, p<0.01). In addition, the multiple regression analysis model indicated that FVC could be predicted by the assessment of each waist mobility and MIP. Conclusion: These finding suggest that respiratory function is related to body size and respiratory muscle strength, and that BMI, waist mobility, and MIP can be predictable factors to affected respiratory function in term of FVC.

Added Mass of Submerged Bodies Obtained by Forced Oscillation Tests and Numerical Calculations of Potential Flow (수중운동체의 강제동요시험 및 포텐셜 계산에 의한 부가질량 추정)

  • Kim, Dong Jin;Lee, Gyeong Joong;Kwon, Chang Seop;Kim, Yeon Gyu;Park, Jin-Yeong;Jun, Bong-Huan
    • Journal of the Society of Naval Architects of Korea
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    • v.59 no.4
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    • pp.214-224
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    • 2022
  • It is necessary to estimate manoeuvring characteristics of submerged bodies at the design stage in order to ensure the safe operations. In this study, added mass coefficients in the mathematical model of submerged bodies are estimated by captive model tests and numerical calculations. Two kinds of models, MARIN 'BB2'submarine model and AUV (Autonomous unmanned vehicle) model are utilized in the forced oscillation tests. Compared to BB2 submarine, AUV with cylindrical type hull form shows relatively small added masses in roll, pitch, and yaw directions. Next, numerical calculations based on potential theory are performed under the assumption that viscous effects on inertia forces are negligible. Added masses obtained by numerical calculations are in good agreements with forced oscillation test results. And if slow manoeuvres of submerged bodies are presumed, some of velocity coupled terms can be approximated by combinations of added mass coefficients.

Free and forced vibration analysis of FG-CNTRC viscoelastic plate using high shear deformation theory

  • Mehmet Bugra Ozbey;Yavuz Cetin Cuma;Ibrahim Ozgur Deneme;Faruk Firat Calim
    • Advances in nano research
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    • v.16 no.4
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    • pp.413-426
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    • 2024
  • This paper investigates the dynamic behavior of a simply supported viscoelastic plate made of functionally graded carbon nanotube reinforced composite under dynamic loading. Carbon nanotubes are distributed in 5 different shapes: U, V, A, O and X, depending on the shape they form through the thickness of the plate. The displacement fields are derived in the Laplace domain using a higher-order shear deformation theory. Equations of motion are obtained through the application of the energy method and Hamilton's principle. The resulting equations of motion are solved using Navier's method. Transforming the Laplace domain displacements into the time domain involves Durbin's modified inverse Laplace transform. To validate the accuracy of the developed algorithm, a free vibration analysis is conducted for simply supported plate made of functionally graded carbon nanotube reinforced composite and compared against existing literature. Subsequently, a parametric forced vibration analysis considers the influence of various parameters: volume fractions of carbon nanotubes, their distributions, and ratios of instantaneous value to retardation time in the relaxation function, using a linear standard viscoelastic model. In the forced vibration analysis, the dynamic distributed load applied to functionally graded carbon nanotube reinforced composite viscoelastic plate is obtained in terms of double trigonometric series. The study culminates in an examination of maximum displacement, exploring the effects of different carbon nanotube distributions, volume fractions, and ratios of instantaneous value to retardation times in the relaxation function on the amplitudes of maximum displacements.

Effect of the Balance Exercise on the Unstable Surfaces for the Vital Capacity in Healthy Adults: A Preliminary Study (불안정한 지지면에서의 균형운동이 건강한 성인의 폐활량에 미치는 효과: 사전 연구)

  • Kim, Taeho;Park, Hankyu
    • Journal of The Korean Society of Integrative Medicine
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    • v.4 no.3
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    • pp.17-25
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    • 2016
  • Purpose : This study attempts to examine the effect of the balance exercise on the unstable surfaces for the vital capacity in healthy adults. Methods : A total of 13 subjects was randomly divided into a breathing exercise training group (n=7) and a breathing and balance exercise training group (n=6). Changes in vital capacity and respiratory muscle activity were measured before and after the intervention. The intervention was performed three times a week for four weeks. Forced vital capacity (FVC), forced expiratory volume at one second (FEV1) and maximal voluntary ventilation (MVV) were used as measurement tools for the vital capacity test. Electromyography (EMG) was also used to examine respiratory muscle activity. Result : The breathing exercise training group showed significant improvement in terms of FVC, FEV1 and external oblique (EO), and transverse abdominis/internal oblique (TrA/IO) of MVV. The breathing and balance exercise training group showed significant improvement in terms of FVC, MVV and EO, TrA/IO of FVC and rectus abdominis (RA), EO, and TrA/IO of MVV. However, in comparing changes in vital capacity and respiratory muscle activity before and after the training, the breathing exercise training group and the breathing and balance exercise training group showed a significant difference in terms of MVV. Conclusion : This study is as a preliminary study to find out the relation between a balance exercise and a vital capacity, it is considered to require a further study with several revisions of subjects, duration and time for an intervention.

An Analysis of Delivery/Transport Documents Content in Relation to the Contract of Carriage under Incoterms 2020 Rules

  • Jeon, Soon-Hwan
    • Journal of Korea Trade
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    • v.25 no.1
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    • pp.203-219
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    • 2021
  • Purpose - The purpose of this study is to review and analyzes the contract of carriage and delivery/transport document in light of the major changes made to the Incoterms® 2020 rules forced into effect on January 1st, 2020. Design/methodology - This study analyzed responsibility for the loading and unloading of goods under the contract of carriage in Incoterms 2020® rules forced into effect by the ICC from January 1, 2020, and what document must be presented as evidence of delivery by the seller. Findings - A review revealed that in Rule C, the costs of unloading at the place of destination are determined by the terms of the contract of carriage, and in the DAP and DDP rules, if the seller bears the unloading costs, such unloading costs cannot be recovered from the buyer. To settle this issue, the seller needs to make a contract of carriage by sea with the carrier on FI terms. Furthermore, in the case of containerized goods that the FCA should be used, FOB was misused because the seller could not present an on-board bill of lading in the L/C transaction. However, it was confirmed that in FCA, the parties can use an optional mechanism to issue an on-board bill of lading. Originality/value - Incoterms 2020® rules are still widely used in international trade by parties to contract sales around the world, just like Incoterms 2010® rules. This study attempts to reduce or eliminate disputes that may arise from interpretative misunderstandings between the parties in the contract of sales concluded by the seller and the buyer.

Pretreatment Characteristics of Potatoes by Soft Steam Treatment (저온스팀 열처리 방식에 따른 감자의 전처리 특성)

  • Cheigh, Chan-Ick
    • Korean Journal of Food Science and Technology
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    • v.46 no.5
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    • pp.660-664
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    • 2014
  • This study aimed to investigate the effects of various soft steam treatments, namely, forced convection-boiler, forced convection-fan, and natural convection, on the pretreatment characteristics of potatoes. In this study, potatoes were exposed to various cooking conditions, including steaming method, treatment time (0-60 min), and temperature (60, 70, $80^{\circ}C$). Then, changes in temperature, cook value, ascorbic acid content, moisture content, and weight loss in the fresh and steam-treated samples were measured and evaluated. The results clearly showed that natural convective steaming was superior to other treatments in terms of heating characteristics, cook value (FC-b: $46.4{\pm}1.7$, FC-f: $21.8{\pm}1.1$, NC: $52.1{\pm}1.9min$ at $80^{\circ}C$), ascorbic acid content (FC-b: $36.5{\pm}2.7$, FC-f: $28.5{\pm}2.9$, NC: $48.2%{\pm}2.5%$ at $80^{\circ}C$), moisture retention (FCb: $74.6{\pm}0.8$, FC-f: $71.5{\pm}0.5$, NC: $77.6%{\pm}0.4%$ for 60 min at $80^{\circ}C$), and weight loss (FC-b: $13.9{\pm}0.8$, FC-f: $15.6{\pm}0.6$, NC: $10.6%{\pm}0.7%$ for 60 min at $80^{\circ}C$) for thermally processed potatoes.

Three-Dimensional Field Equations, Equations of Motion, and Energy Functionals for Thick Shells of Revolution with Arbitrary Curvature and Variable Thickness (임의의 곡률과 변두께를 갖는 두꺼운 축대칭 회전 셸의 3차원적 장방정식, 운동 방정식, 에너지 범함수)

  • 강재훈;이은택;양근혁
    • Journal of KSNVE
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    • v.11 no.1
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    • pp.156-166
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    • 2001
  • This work uses tensor calculus to derive a complete set of three-dimensional field equations well-suited for determining the behavior of thick shells of revolution having arbitrary curvature and variable thickness. The material is assumed to be homogeneous, isotropic and linearly elastic. The equations are expressed in terms of coordinates tangent and normal to the shell middle surface. The relationships are combined to yield equations of motion in terms of orthogonal displacement components taken in the meridional, normal and circumferential directions. Strain energy and kinetic energy functionals are also presented. The equations of motion and energy functionals may be used to determine the static or dynamic displacements and stresses in shells of revolution, including free and forced vibration and wave propagation.

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