• 제목/요약/키워드: Non-elastic

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비균질 탄성 기초위에 놓여있는 직사각형 평판의 고유 진동수 (Natural Frequency of a Rectangular Plate on Non-homogeneous Elastic Foundations)

  • 황주익;김용철;이택순
    • 한국해양공학회지
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    • 제3권2호
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    • pp.70-76
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    • 1989
  • The natural frequencies of a rectangular plate on non-homogeneous elastic foundations were obtained by using the Ritz method and Galerkin method. The results of both methods using the different type of trial functions were also compared. Furthermore, the effects of the variation of boundary conditions, the stiffness of the foundation spring, the dimension ratio of the plate were investigated. As a result, the Galerkin method can be used to obtain the accurate solution and can be effectively used to design the foundation bed.

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정현상 비대칭으로 Taper진 부재의 임계하중과 고유진동수와의 관계 (The Relationship between Critical Load and Frequency of Sinusolidally Non-symmetrically Tapered Member)

  • 이혁;홍종국;이수곤
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.59-66
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    • 2000
  • It is generally known that the lateral frequency( ω) of the vibration of a prismatic beam-column decreases according to the rele (equation omitted) (ω/sub 0/=natural frequency). In the cases of tapered members, the determination of P/ sub/ cr/(elastic critical load) and ω/ sub 0/ are not easy. Furthermore, the relationship between the compressive load and frequency can not be determined by the conventional analytical method. The axial force-frequency relationship of sinusolidally non-symmetrically tapered members with different shapes were investigated using the finite element method. To obtain the two eigenvalues, the axial thrust was increased step by step and the corresponding frequency was calculated. The result indicated that the axial thrust of the elastic critical load ratio and the square of the frequency ratio can be approximately represented in any case by a straight line. Finally, the linear relationship is also applicable to the sinusolidally non-symmetrically tapered member.

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Non-tubular bonded joint under torsion: Theory and numerical validation

  • Pugno, Nicola;Surace, Giuseppe
    • Structural Engineering and Mechanics
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    • 제10권2호
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    • pp.125-138
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    • 2000
  • The paper analyzes the problem of torsion in an adhesive non-tubular bonded single-lap joint. The joint considered consists of two thin rectangular section beams bonded together along a side surface. Assuming the materials involved to be governed by linear elastic laws, equilibrium and compatibility equations were used to arrive at an integro-differential relation whose solution makes it possible to determine torsional moment section by section in the bonded joint between the two beams. This is then used to determine the predominant stress and strain field at the beam-adhesive interface (stress field along the direction perpendicular to the interface plane, equivalent to the applied torsional moment and the corresponding strain field) and the joint's elastic strain (absolute and relative rotations of the bonded beam cross sections). All the relations presented were obtained in closed form. Results obtained theoretically are compared with those given by a three dimensional finite element numerical model. Theoretical and numerical analysis agree satisfactorily.

압박 벨트와 비탄력 테이프를 이용한 골반압박이 엎드려 고관절 신전 시 체간과 고관절 신전근의 근 작용에 미치는 영향: 요통 경험군과 요통 비경험군 비교 연구 (Pelvic Compression Using a Compression Belt and Non-elastic Taping on Trunk and Hip Extensor Muscle Activity during Prone Hip Extension: A Comparative Study of Experienced and Non-experienced Low Back Pain Group)

  • 박소현;김선엽
    • 대한정형도수물리치료학회지
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    • 제27권2호
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    • pp.27-36
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    • 2021
  • Background : Prone hip extension (PHE) is commonly used for exercises and tests in patients with low back pain. Previous studies have shown that pelvic compression belts (PCB) and non-elastic taping (NET) contribute greatly to improvements in lumbopelvic stability. This study aimed to compare the effect of two lumbopelvic stability methods such as PCB and NET on the trunk and hip extensor muscle activities during PHE tests. Methods: Subjects who experienced low back pain (low back pain group, LBPG; n=20) and those who did not experience low back pain (non-LBPG; n=20) participated in this study. The subjects were instructed to perform PHE with and without a PCB and NET. PHE tests were performed in the condition wherein the two stabilization methods were applied, and the actions of the muscles at that time were measured using surface electromyography (EMG). EMG data were collected from the hamstring, gluteus maximus, erector spine (ES), and multifidus (MF) muscles. The data were collected three times for 5 s with a 1-min rest between each of the three sets. Results: In the LBPG, EMG of the ES muscle was significantly reduced when NET or a PCB was applied (p<.05). There was no difference in the change in the ES muscle activity when NET and a PCB were applied. The ratio of MF/ES muscleactivity showed a significant increase in the LBPG with NET (p<.05). Conclusion: Both NET and PCB applied to subjects who experienced low back pain significantly reduced the ES muscle activity during PHE exercises and helped control the balance of the superficial and deep trunk extensor muscles.

Mechanical analysis of non-uniform beams resting on nonlinear elastic foundation by the differential quadrature method

  • Hsu, Ming-Hung
    • Structural Engineering and Mechanics
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    • 제22권3호
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    • pp.279-292
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    • 2006
  • A new approach using the differential quadrature method (DQM) is derived for analysis of non-uniform beams resting on nonlinear media in this study. The influence of velocity dependent viscous damping and strain rate dependent viscous damping is investigated. The results solved using the DQM have excellent agreement with the results solved using the FEM. Numerical results indicated that the DQM is valid and efficient for non-uniform beams resting on non-linear media.

Influence of impulsive line source and non-homogeneity on the propagation of SH-wave in an isotropic medium

  • Kakar, Rajneesh
    • Interaction and multiscale mechanics
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    • 제6권3호
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    • pp.287-300
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    • 2013
  • In this paper, the effect of impulsive line on the propagation of shear waves in non-homogeneous elastic layer is investigated. The rigidity and density in the intermediate layer is assumed to vary quadratic as functions of depth. The dispersion equation is obtained by using the Fourier transform and Green's function technique. The study ends with the mathematical calculations for transmitted wave in the layer. These equations are in complete agreement with the classical results when the non-homogeneity parameters are neglected. Various curves are plotted to show the effects of non-homogeneities on shear waves in the intermediate layer.

Buckling analysis of sandwich beam rested on elastic foundation and subjected to varying axial in-plane loads

  • Hamed, Mostafa A.;Mohamed, Salwa A;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제34권1호
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    • pp.75-89
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    • 2020
  • The current paper illustrates the effect of in-plane varying compressive force on critical buckling loads and buckling modes of sandwich composite laminated beam rested on elastic foundation. To generalize a proposed model, unified higher order shear deformation beam theories are exploited through analysis; those satisfy the parabolic variation of shear across the thickness. Therefore, there is no need for shear correction factor. Winkler and Pasternak elastic foundations are presented to consider the effect of any elastic medium surrounding beam structure. The Hamilton's principle is proposed to derive the equilibrium equations of unified sandwich composite laminated beams. Differential quadrature numerical method (DQNM) is used to discretize the differential equilibrium equations in spatial direction. After that, eigenvalue problem is solved to obtain the buckling loads and associated mode shapes. The proposed model is validated with previous published works and good matching is observed. The numerical results are carried out to show effects of axial load functions, lamination thicknesses, orthotropy and elastic foundation constants on the buckling loads and mode shapes of sandwich composite beam. This model is important in designing of aircrafts and ships when non-uniform compressive load and shear loading is dominated.

Preliminary numerical study on long-wavelength wave propagation in a jointed rock mass

  • Chong, Song-Hun;Kim, Ji-Won;Cho, Gye-Chun;Song, Ki-Il
    • Geomechanics and Engineering
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    • 제21권3호
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    • pp.227-236
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    • 2020
  • Non-destructive exploration using elastic waves has been widely used to characterize rock mass properties. Wave propagation in jointed rock masses is significantly governed by the characteristics and orientation of discontinuities. The relationship between spatial heterogeneity (i.e., joint spacing) and wavelength for elastic waves propagating through jointed rock masses have been investigated previously. Discontinuous rock masses can be considered as an equivalent continuum material when the wavelength of the propagating elastic wave exceeds the spatial heterogeneity. However, it is unclear how stress-dependent long-wavelength elastic waves propagate through a repetitive rock-joint system with multiple joints. A preliminary numerical simulation was performed in in this study to investigate long-wavelength elastic wave propagation in regularly jointed rock masses using the three-dimensional distinct element code program. First, experimental studies using the quasi-static resonant column (QSRC) testing device are performed on regularly jointed disc column specimens for three different materials (acetal, aluminum, and gneiss). The P- and S-wave velocities of the specimens are obtained under various normal stress levels. The normal and shear joint stiffness are calculated from the experimental results using an equivalent continuum model and used as input parameters for numerical analysis. The spatial and temporal sizes are carefully selected to guarantee a stable numerical simulation. Based on the calibrated jointed rock model, the numerical and experimental results are compared.

Effect of Spiral Elastic Band on Gait Function in Patients with Chronic Stroke

  • Baek, Ki hyun;Lim, Hyoung won
    • The Journal of Korean Physical Therapy
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    • 제31권4호
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    • pp.169-175
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    • 2019
  • Purpose: This study examined the effects of a spiral elastic band for the walking function on patients with chronic stroke. Methods: Twenty one chronic stroke patients were recruited and divided randomly into the experimental group and control group. Both groups performed mat exercises and gait training three times a week for four weeks, and gait training was applied to the experimental group with additional spinal elastic bands. Results: The results of this research were as follows. The 10MWT measurements showed that the velocities within and between the groups decreased significantly, and the results of TUG showed significant decreases in velocities after the interventions in both the control group and experimental group. On the other hand, there were no significant differences between the control and experimental group. The FRT measurements showed significantly increased stride lengths within and between the groups. The measurements of the stride length, stride velocity, cadence, and step length showed significant improvement within the groups, but there was no significant difference between the groups. The measurement of stance showed that the non-paralytic patients had a significant increase in the rates within the groups and a significant difference was observed between the groups. Conclusion: Spiral elastic bands are an effective intervention method for rehabilitation programs to enhance the walking function in the clinical field. A treatment needs to be developed for patients with walking problems due to various disorders by investigating the action mechanism of spiral elastic bands.

Dynamic Analysis of a Moving Vehicle on Flexible Beam structures ( I ) : General Approach

  • Park, Tae-Won;Park, Chan-Jong
    • International Journal of Precision Engineering and Manufacturing
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    • 제3권4호
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    • pp.54-63
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    • 2002
  • In recent years, mechanical systems such as high speed vehicles and railway trains moving on elastic beam structures have become a very important issue to consider. In this paper, a general approach, which can predict the dynamic behavior of a constrained mechanical system moving on a flexible beam structure, is proposed. Various supporting conditions for the foundation support are considered for the elastic beam structure. The elastic structure is assumed to be a non-uniform and linear Bernoulli-Euler beam with a proportional damping effect. Combined differential-algebraic equation of motion is derived using the multi-body dynamics theory and the finite element method. The proposed equations of motion can be solved numerically using the generalized coordinate partitioning method and predictor-corrector algorithm, which is an implicit multi-step integration method.