• Title/Summary/Keyword: Elastic stiffness

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Generalized curved beam on elastic foundation solved by transfer matrix method

  • Arici, Marcello;Granata, Michele Fabio
    • Structural Engineering and Mechanics
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    • v.40 no.2
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    • pp.279-295
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    • 2011
  • A solution of space curved bars with generalized Winkler soil found by means of Transfer Matrix Method is presented. Distributed, concentrated loads and imposed strains are applied to the beam as well as rigid or elastic boundaries are considered at the ends. The proposed approach gives the analytical and numerical exact solution for circular beams and rings, loaded in the plane or perpendicular to it. A well-approximated solution can be found for general space curved bars with complex geometry. Elastic foundation is characterized by six parameters of stiffness in different directions: three for rectilinear springs and three for rotational springs. The beam has axial, shear, bending and torsional stiffness. Numerical examples are given in order to solve practical cases of straight and curved foundations. The presented method can be applied to a wide range of problems, including the study of tanks, shells and complex foundation systems. The particular case of box girder distortion can also be studied through the beam on elastic foundation (BEF) analogy.

Ground Beam-Joint Topology Optimization for Design and Assembly of Multi-Piece Frame Structures (그라운드 빔 조인트 기반 위상최적화법을 이용한 프레임 구조물의 조립 위치 및 강도 설정)

  • Jang, Gang-Won;Kim, Myeong-Jin;Kim, Yun-Yeong
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.688-693
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    • 2007
  • Most frame structures cannot be manufactured in a single-piece form. Ideally, when a structure is built up by assembling multi pieces, assembly at the joints should be rigidly performed enough to have almost full stiffness, which is difficult for practical reasons such as manufacturing cost and time. In this research, we aim to develop a manufacturability-oriented compliance-minimizing topology optimization using a ground beam model incorporating additional zero-length elastic joint elements. In the present formulation, design variables control the stiffness of zero-length elastic joints, not the stiffness of beams. Because joint stiffness values at the converged state can be utilized to select candidate assembly locations and their strengths, the technique is extremely useful to design multi-piece frame structures. An optimal layout is also extracted based on the stiffness values.

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A Study on the Calculation of Stiffness Properties for Composite Box-Beams with Elastic Couplings (구조연성을 고려한 복합재료 상자형 보의 강성계수 예측에 관한 연구)

  • 정성남;동경민
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.05a
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    • pp.147-150
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    • 2001
  • In the present work, a linear static analysis is presented for thin-walled prismatic box-beams made of generally anisotropic materials. A mixed beam theory has been used to model and carry out the analysis. Three different constitutive relations are assessed into the beam formulation. Simple layup cases having symmetric or anti-symmetric configuration have been chosen and tested to clearly show the effects of elastic couplings of the beam. Both 2D and 3D finite element structural analysis using the MSC/NASTRAN has been performed to validate the current analytical results. Results show that appropriate assumptions for the constitutive equations are important and prerequisite for the accurate prediction of beam stiffness constants and also for the beam behavior.

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An Experimental Study on the Axial Stiffness of the Concrete Filled Circular Steel Tube Columns (콘크리트충전 원형강관 기둥의 축강성에 관한 실험연구)

  • Kim, Jeong-Hoi;Song, Hyung-Soo;Park, Jin-Soo;Min, Chang-Shik
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.05a
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    • pp.422-425
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    • 2006
  • AISC-LRFD, ACI 318 and Korean design specifications for concrete filled circular steel tube columns do not consider the increasing of axial stiffness such as the elastic modulus and the yield strength due to the confinement effect. AISC-LRFD and ACI 318, however, shows different basic philosophy and equations for computing the elastic modulus and the strength of CFT columns. Through this experimental study, 9 circular CFT column specimens were made by varying thickness steel tube and concrete strength, the axial stiffness were compared. The comparison between the design specifications and the test results shows different values on the elastic modulus and yield strength of the CFT columns. Even though, yield strength of the CFT columns are very similar between AISC-LRFD and Korean design specifications.

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Elastic Behavior Characteristics of GFRP Pipes Reinforced with Ribs (리브 보강 GFRP 관로의 탄성 좌굴거동 특성)

  • Seo Joo-Hyung;Han Taek-Hee;Yoon Ki-Yong;Kang Jin-Ook;Lee Myeoung-Sub;Kang Young-Jong
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.119-126
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    • 2006
  • The elastic budding strength of a GFRP pipe reinforced with ribs was evaluated. The height and thickness of a rib and the spacing between two adjacent ribs were considered as factors affecting tlje budding strength of the pipe. And also, the ratio of the longitudinal stiffness and transverse stiffness was considered as the parameter affecting on the budding strength because GFRP is orthotropic material. Buckling strengths of various GFRP pipe models with different shapes and stiffness ratio were evaluated by FE analyses and a formula to estimate the elastic buckling strength of a rib-reinforced pipe made of orthotropic material was suggested from the regression with FE analysis results. Analysis results show that a rib-reinforced pipe has superior buckling strength to a general flat pipe and the suggested formula estimates accurate buckling strength of the rib-reinforced pipe.

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A Study on the Stiffness Characteristic of Repeated Unit Cell Structure (반복되는 구조물의 강성특성 연구)

  • Park, Soo;Seon, Kwang-Sang;Koo, Jae-Mean;Seok, Chang-Sung;Park, Tae-Jung
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.3
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    • pp.111-117
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    • 2010
  • The repeated unit cell structure is applied to the composite, the carbon nano tube and sandwich panel. In this paper, a study on the stiffness of unit cell structure has been performed with the tube support plate of the steam generator. For this, repeated unit cell structure's equivalent elastic constant and poisson's ratio was evaluated through FEA and tests under the elastic range load. Also we evaluated the effect on the specimen size from results.

Determination of the elastic properties in CFRP composites: comparison of different approaches based on tensile tests and ultrasonic characterization

  • Munoz, Victor;Perrin, Marianne;Pastor, Marie-Laetitia;Welemane, Helene;Cantarel, Arthur;Karama, Moussa
    • Advances in aircraft and spacecraft science
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    • v.2 no.3
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    • pp.249-261
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    • 2015
  • The mechanical characterization of composite materials is nowadays a major interest due to their increasing use in the aeronautic industry. The design of most of these materials is based on their stiffness, which is mainly obtained by means of tensile tests with strain gauge measurement. For thin laminated composites, this classical method requires adequate samples with specific orientation and does not provide all the independent elastic constants. Regarding ultrasonic characterization, especially immersion technique, only one specimen is needed and the entire determination of the stiffness tensor is possible. This paper presents a study of different methods to determine the mechanical properties of transversely isotropic carbon fibre composite materials (gauge and correlation strain measurement during tensile tests, ultrasonic immersion technique). Results are compared to ISO standards and manufacturer data to evaluate the accuracy of these techniques.

Numerical Experiment for a Strain Energy Equivalence Principle (SEEP)-based Continuum Damage Model (탄성변형에너지 등가원리 기반 연속체 손상모델에 대한 수치실험)

  • Youn, Deok-Ki;Lee, U-Sik
    • Proceedings of the KSR Conference
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    • 2006.11b
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    • pp.31-34
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    • 2006
  • A new continuum damage theory (CDT) has been proposed by Lee et al. (1996) based on the SEEP. The CDT has the apparent advantage over the other related theories because the complete constitutive law can be readily derived by simply replacing the virgin elastic stiffness with the effective orthotropic elastic stiffness obtained by using the proposed continuum damage theory. In this paper, the CDT is evaluated by the numerical experiment comparing the mode shapes and natural frequencies of a square plate containing a small line-through crack with those of the same plate with a damaged site replaced with the effective orthotropic elastic stiffness computed by using the CDT.

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Elastic-plastic Micromechanics Modeling of Cross-anisotropic Granular Soils: I. Formulation (직교 이방적 사질토의 미시역학적 탄소성 모델링: I. 정식화)

  • Jung, Young-Hoon;Chung, Choong-Ki
    • Journal of the Korean Geotechnical Society
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    • v.23 no.3
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    • pp.77-88
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    • 2007
  • A micromechanics-based model to simulate the elastic and elastic-plastic behavior of granular soils is developed. The model accounts for the fabric anisotropy represented by the statistical parameter of the spatial distribution of contact normals, the evolution of fabric anisotropy as a function of stress ratio, the continuous change of the co-ordination number relating to the void ratio, and the elastic and elastic-plastic microscopic contact stiffness. Using the experimental data for metallic materials, the elastic-plastic contact stiffness is derived as a power function of the normal contact force as well as the contact force initiating the yielding of contact bodies. To quantitatively assess microscopic model parameters, approximate solutions of cross-anisotropic elastic moduli are derived in terms of the micromechanical parameters.

Effect of Elastic Compression Stocking and Kinesio Taping during Heel-raise Exercise on Muscle Activity, Mechanical Properties, and Muscle Fatigue in Healthy Women

  • SeongHo Yun;Yun Jung Kang;Ji Hyun Kim;Hyeon Hui Do;Seo Young Shin;Su Bin Lee;Jung Won Kwon
    • The Journal of Korean Physical Therapy
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    • v.35 no.1
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    • pp.24-30
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    • 2023
  • Purpose: The purpose of this study was to investigate the effectiveness of the elastic compression stockings and Kinesio taping on muscle activity and mechanical properties in healthy women during the heel raise exercise that causes muscle fatigue. Methods: Participants were divided into the elastic compression stockings group (ESG, n=8), Kinesio taping group (KTG, n=8), and control group (CG, n=8). All participants performed the heel raise exercise to cause muscle fatigue. Muscle activity, stiffness, and the muscle tone of the gastrocnemius and tibialis anterior were measured before and after the heel raise exercise. Results: In the gastrocnemius, muscle activity was significantly increased after the heel raise exercise in both the ESG and KTG (p<0.05). There was a significant difference in the change in the gastrocnemius muscle activity between the groups (p<0.05). Post hoc analysis showed that the ESG exhibited a significantly greater change in gastrocnemius muscle activity than the CG (p<0.05). The muscle stiffness of the gastrocnemius was significantly decreased after the heel raise exercise in the ESG (p<0.05). The muscle tone of the gastrocnemius was significantly increased after the heel raise exercise in the control group (p<0.05). There were no significant differences in the change in the gastrocnemius stiffness and muscle tone between the groups (p>0.05). In the tibialis anterior, there were no significant differences in muscle activity, stiffness, and muscle tone between and within the groups (p>0.05). Conclusion: Our findings suggest that the use of elastic compression stockings and Kinesio taping during the heel raise exercise are beneficial and delay muscle fatigue in the gastrocnemius.