• Title/Summary/Keyword: 탄성학

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Photoelastic Stress Analysis for a Rhombus Plate under Compressive Load Using Image Processing Technique (압축하중을 받는 마름모 판에 대한 영상처리기법을 이용한 광탄성 응력 해석)

  • Liu, Guan Yong;Kim, Myung Soo;Baek, Tae Hyun
    • Journal of the Korean Society for Nondestructive Testing
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    • v.34 no.2
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    • pp.148-154
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    • 2014
  • Photoelasticity is a useful technique for obtaining the differences and directions of principal stresses in a model. In conventional photoelasticity, the photoelastic parameters are measured manually point by point. Identifying and measuring photoelastic data is time-consuming and requires skill. The fringe phase shifting method was recently developed and has been found to be convenient for measuring and analyzing fringe data in photo-mechanics. This paper presents an experimental study on the stress distribution along a horizontal line that passes the central point of a rhombus plate made of Photoflex (i.e., type of urethane rubber). The isoclinic fringe and/or principal stress direction is constant on this horizontal line, so a four-bucket phase shifting method can be applied. The method requires four photoelastic fringes that are obtained from a circular polariscope by rotating the analyzer at $0^{\circ}C$, $45^{\circ}C$, $90^{\circ}C$ and $135^{\circ}C$. Experimental measurements using the method were quantitatively compared with the results from FEM analysis; the results from the two methods showed comparable agreement.

An Experimental Study on Elastic Wave Propagation in a Symmetrically Filament-Wound Composite Motor Case (대칭 적층 복합재 연소관의 탄성파 전파에 관한 실험적 연구)

  • Song, Sung-Jin;Choe, Ji-Ung
    • Journal of the Korean Society for Nondestructive Testing
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    • v.18 no.3
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    • pp.191-204
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    • 1998
  • One of the key issues in acoustic emission (AE) during hydroproof test of filament-wound composite rocket motor cases is the determination of the optimal component of elastic wave to be monitored. To solve this problem, broadband ultrasonic wave was generated into a symmetrically filament-wound composite motor case, and was received at 105 different locations after the propagation through the composite case with different distances and directions. By analysis of the received signals, characteristics of elastic wave propagation such as frequency components, the maximum propagating distance, and velocity surface were investigated. This analysis was performed for two different conditions of the motor case; air-filled and hydraulically pressurized. Based on these information, the effect of hydraulic pressure on the wave propagation characteristics was investigated and furthermore, the optimal component of elastic wave for AE during hydroproof test of the motor case was successfully determined.

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Unsteady Thermoelasic Deformation and Stress Analysis of a FGM Rectangular Plate (경사기능재료 사각 판의 비정상 열 탄생변형과 응력해석)

  • Kim, Kui-Seob
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.8
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    • pp.91-100
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    • 2004
  • A Green's function approach is adopted for analyzing the thermoelastic deformations and stresses of a plate made of functionally graded materials(FGMs). The solution to the 3-dimensional unsteady temperature is obtained by using the laminate theory. The fundamental equations for thermoelastic problems are derived in terms of out-plane deformation and in-plane force, separately. The thermoelastic deformation and the stress distributions due to the bending and in-plane forces are analyzed by using a Green's function based on the Galerkin method. The eigenfunctions of the Galerkin Green's function for the thermoelastic deformation and the stress distributions are approximated in terms of a series of admissible functions that satisfy the homogeneous boundary conditions of the rectangular plate. Numerical analysis for a simply supported plate is carried out and effects of material properties on unsteady thermoclastic behaviors are discussed.

Assessment of Structural Modeling Refinements on Aeroelastic Stability of Composite Hingeless Rotor Blades (구조 모델링 특성에 따른 복합재료 무힌지 로터의 공력 탄성학적 안정성 연구)

  • Park, Il-Ju;Jung, Sung-Nam;Kim, Chang-Joo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.2
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    • pp.163-170
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    • 2008
  • The aeroelastic stability analysis of a soft-in-plane, composite hingeless rotor blade in hover and in forward flight has been performed by combining the mixed beam method and the aeroelastic analysis system that is based on a moderate deflection beam approach. The aerodynamic forces and moments acting on the blade are obtained using the Leishman-Beddoes unsteady aerodynamic model. Hamilton's principle is used to derive the governing equations of composite helicopter blades undergoing extension, lag and flap bending, and torsion deflections. The influence of key structural modeling issues on the aeroelastic stability behavior of helicopter blades is studied. The issues include the shell wall thickness, elastic couplings and the correct treatment of constitutive assumptions in the section wall of the blade. It is found that the structural modeling effects are largely dependent on the layup geometries adopted in the section of the blade and these affect on the stability behavior in a large scale.

Dynamic Aeroelastic Characteristics of an All-Movable Canard with Oscillating Flap Used in UAV (플랩이 있는 무인기 전운동 카나드의 동적공탄성 특성)

  • Kim, Dong-Hyun;Koo, Kyo-Nam;Lee, In;Kim, Sung-Jun;Kim, Sung-Chan;Lee, Jung-Jin;Choi, Ik-Hyun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.6
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    • pp.56-63
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    • 2004
  • In this study, dynamic aeroelastic analyses of the canard with oscillating flap are conducted considering the effect of aerodynamic compressibility. The canard model considered herein is an all-movable type with a pitching axis on a canard-rotor-wing aircraft which was considered as one of the major UAV candidates under developing in Korea. The equivalent structural model is constructed based on the initial design data by the Korea smart UAV development center. Both the frequency and the time-domain aeroelastic analyses have been applied to practically conduct parametric studies on the effects of equivalent torsional stiffness. In the case of all-movable control surface with oscillating flap, the equivalent rotational stiffness of the pitch axes are important design parameters. The parametric results for the aeroelastic instability are practically presented.

Stress Measurement around a Circular Role in a Cantilever Beam under Bending Moment Using Strain Gage and Reflective Photoelasticity (스트레인 게이지와 반사형 광탄성법을 이용한 굽힘을 받는 외팔보 시편 구멍 주위의 응력측정)

  • Baek, Tae-Hyun;Park, Tae-Geun;Yang, Min-Bok
    • Journal of the Korean Society for Nondestructive Testing
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    • v.26 no.5
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    • pp.329-335
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    • 2006
  • It is necessary to study on the stress concentration experimentally, which is the main reason to avoid mechanical dilapidation and failure, when designing a mechanical structure. Stress concentration factor of a specimen of cantilever beam with a circular hole in the center was measured using both strain gage and photoelastic methods in this paper. In strain-gage measurement, three strain gages along the line near a hole of the specimen were installed and maximum strain was extrapolated from three measurements. In photoelastic measurement, two methods were employed. First, the Babinet-Soleil compensation method was used to measure the maximum strain. Secondly, photoelastic 4-step phase shilling method was applied to observe the strain distribution around the hole. Measurements obtained by different experiments were comparable within the range of experimental error.

Analysis of Stress Distribution around a Central Crack Tip in a Tensile Plate Using Phase-Shifting Photoelasticity and a Power Series Stress Function (위상이동 광탄성법과 멱급수형 응력함수를 이용한 인장시편 중앙 균열선단 주위 응력장 해석)

  • Baek, Tae-Hyun
    • Journal of the Korean Society for Nondestructive Testing
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    • v.29 no.1
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    • pp.1-9
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    • 2009
  • This paper presents stress distribution around a central crack tip in a tensile plate using phase-shifting photoelasticity and a power series stress function. Isochromatic data along the straight lines far from the crack tip were obtained by phase shifting photoelasticity and were used as input data of the hybrid experimental analysis. By using the complex-type power series stress equations, the photoelastic stress distribution fields in the vicinity of the crack and the mode I stress intensity factor were obtained. With the help of image processing software, accuracy and reliability was enhanced by twice multiplying and sharpening the measured isochromatics. Actual and reconstructed fringes were compared qualitatively. For quantitative comparison, percentage errors and standard deviations of the percentage errors were calculated for all measured input data by varying the number of terms in the stress function. The experimental results agreed with those predicted by finite element analysis and empirical equation within 2 percent error.

Measurement of High Temperature Anisotropic Elastic Constants of Zr-2.5Nb Pressure Tube Materials by Resonant Ultrasound Spectroscopy (초음파공명분광법에 의한 Zr-2.5Nb 압력관 재료의 고온 이방성 탄성계수 측정)

  • Cheong, Yong-Moo;Kim, Sung-Soo;Kim, Young-Suk
    • Journal of the Korean Society for Nondestructive Testing
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    • v.22 no.2
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    • pp.140-148
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    • 2002
  • Anisotropic elastic constants of Zr-2.5Nb pressure tube materials were determined by a high temperature resonant ultrasound spectroscopy (RUS). The resonant frequencies were measured using alumina wave-guides and wide band ultrasonic transducers in a small furnace. The rectangular parallelepiped specimens were fabricated along with the axial, radial and circumferential direction of the pressure tube. A nine elastic stiffness tensor for orthotropic symmetry was determined in the range of room temperature ${\sim}500^{\circ}C$. As the temperature increases, the elastic constant tensor, cij gradually decreases. Higher elastic constants along the transverse direction compared to those along the axial or radial direction are similar to the case of Young's modulus or shear modulus. A crossing of shear elastic constants along axial direction and radial direction was observed near $150^{\circ}C$. This fact corresponds to the crossing of c44 and c66 of single crystal zirconium.

Measurement of Dynamic Elastic Constants of RPV Steel Weld due to Localized Microstructural Variation (원자로 용접부의 국부적 미세조직 변화에 따른 동적탄성계수 측정)

  • Cheong, Yong-Moo;Kim, Joo-Hag;Hong, Jun-Hwa;Jung, Hyun-Kyu
    • Journal of the Korean Society for Nondestructive Testing
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    • v.20 no.5
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    • pp.390-396
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    • 2000
  • The dynamic elastic constants of the simulated weld HAZ (heat-affected zone) of SA 508 Class 3 reactor pressure vessel (RPV) steel were investigated by resonant ultrasound spectroscopy (RUS). The resonance frequencies of rectangular parallelepiped samples woe calculated from the initial estimates of elastic stiffness $c_{11},\;c_{12}\;and\;c_{44}$ with an assumption of isotropic property, dimension and density. Through the comparison of calculated resonant frequencies with the measured resonant frequencies by RUS, very accurate elastic constants of SA 508 Class 3 steel were determined by iteration and convergence processes. Clear differences of Youngs modulus and shear modulus were shown from samples with different thermal cycles and microstructures. Youngs modulus and shear modulus of samples with fine-grained bainite were higher than those with coarse-grained tempered martensite. This tendency was confirmed from other results such as micro-hardness test.

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Dynamic Mechanical Properties of Natural Rubber/Polystyrene IPNs (천연고무/폴리스티렌 IPN의 동적기계적 성질)

  • Do, In-Hwan;Kim, Byeong-Gyu
    • Korean Journal of Materials Research
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    • v.6 no.2
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    • pp.197-203
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    • 1996
  • 천연고무/폴리스티렌계 semi- 및 full-IPN의 동적성질을 IPN 조성과 가교도의 함수로 조사하였고, 23$^{\circ}C$에서의 탄성율을 선택하여 복합모델과 비교하였다. Full-IPN이 semi-IPN에 비해 상분리를 억제시키는 효과가 컸으며, 23$^{\circ}C$에서의 탄성율에서도 Davies 모델에 더 근접하였다. Coran-Patel 모델해석에서, 상전이의 중심이 되는 조성은 full-IPN의 경우 $\Phi$2=0.75-0.8이었다.

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