• 제목/요약/키워드: Timoshenko beam element

검색결과 177건 처리시간 0.021초

Study of the dynamic behavior of porous functionally graded suspension structural systems using finite elements method

  • Ayman E., Nabawy;Ayman M.M., Abdelhaleem;Soliman. S., Alieldin;Alaa A., Abdelrahman
    • Steel and Composite Structures
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    • 제45권5호
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    • pp.697-713
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    • 2022
  • In the context of the finite elements method, the dynamic behavior of porous functionally graded double wishbone vehicle suspension structural system incorporating joints flexibility constraints under road bump excitation is studied and analyzed. The functionally graded material properties distribution through the thickness direction is simulated by the power law including the porosity effect. To explore the porosity effects, both classical and adopted porosity models are considered based on even porosity distribution pattern. The dynamic equations of motion are derived based on the Hamiltonian principle. Closed forms of the inertia and material stiffness components are derived. Based on the plane frame isoparametric Timoshenko beam element, the dynamic finite elements equations are developed incorporating joint flexibilities constraints. The Newmark's implicit direct integration methodology is utilized to obtain the transient vibration time response under road bump excitation. The presented procedure is validated by comparing the computational model results with the available numerical solutions and an excellent agreement is observed. Obtained results show that the decrease of porosity percentage and material graduation tends to decrease the deflection as well as the resulting stresses of the control arms thus improving the dynamic performance and increasing the service lifetime of the control arms.

복합 구조물의 충격 응답 특성을 이용한 취약성 평가 모델 연구 (Vulnerability Assessment for a Complex Structure Using Vibration Response Induced by Impact Load)

  • 박정원;구만회;박준홍
    • 대한기계학회논문집A
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    • 제38권10호
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    • pp.1125-1131
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    • 2014
  • 복합 구조물의 충격 진동 특성을 이용한 취약성 분석 기법을 제안하였다. 프레임 요소로 구성된 구조물의 충격 거동을 파악하기 위해서 스펙트럴요소법을 적용하였다. 티모센코 보함수를 이용해 고속충돌에 의한 고주파 성분을 포함하는 충격파 전파 특성을 시뮬레이션하였다. 구조물의 결합부분에서는 종방향과 횡방향 파동의 상호 작용을 고려한 파동 전달을 해석하였다. 충격력이 구조물에 작용할 경우 주파수 및 시간 응답을 얻고 전체 구조물에서 충격에너지 전파 특성을 파악하였다. 구조물의 위치별로 계산된 최대가속도 크기와 시스템을 구성하는 주요 부품의 허용 가속도 기준에 의한 취약확률 함수를 정의하고 시스템의 취약 확률을 계산하였다. 제안된 취약성 분석 절차를 이용해 3 차원 전투 차량의 충격 응답을 얻고 충격에 취약한 구조물 위치를 파악하였다.

축 처짐과 선미관 저널 베어링 유막 압력의 상호작용을 고려한 추진축계 정렬 해석 (Propulsion Shafting Alignment Analysis Considering the Interaction between Shaft Deflection and Oil Film Pressure of Sterntube Journal Bearing)

  • 조대승;장흥규;진병무;김국현;김성찬;김진형
    • 대한조선학회논문집
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    • 제53권6호
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    • pp.447-455
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    • 2016
  • Precise propulsion shafting alignment of ships is very important to prevent damage of its support bearings due to excessive reaction forces caused by hull deflection, forces acted on propeller and crankshaft, and so forth. In this paper, a new iterative shafting alignment calculation procedure considering the interaction between shaft deflection and oil film pressure of Sterntube Journal Bearing (SJB) bush with single or multiple slopes is proposed. The procedure is based on a pressure analysis to evaluate distributed equivalent support stiffness of SJB by solving Reynolds equation and a deflection analysis of shafting system by a finite element method based on Timoshenko beam theory. SJB is approximated with multi-point biaxial elastic supports equally distributed to its length. Their initial stiffness values are estimated from dynamic reaction force calculated by assuming SJB as single rigid support. Then, the shaft deflection and the support stiffness of SJB are sequentially and iteratively calculated by applying a criteria on deflection variation between sequential calculation results. To demonstrate validity and applicability of the proposed procedure for optimal slope design of SJB, numerical analysis results for a shafting system are described.

탄소성 변형을 고려한 타이로드 고정 회전체의 동역학 해석 (Dynamic Analysis of Tie-rod-fastened Rotor Considering Elastoplastic Deformation)

  • 서동찬;김경희;이도훈;이보라;서준호
    • Tribology and Lubricants
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    • 제40권1호
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    • pp.8-16
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    • 2024
  • This study conducts numerical modeling and eigen-analysis of a rod-fastened rotor, which is mainly used in aircraft gas turbine engines in which multiple disks are in contact through curvic coupling. Nayak's theory is adopted to calculate surface parameters measured from the tooth profile of the curvic coupling gear. Surface parameters are important design parameters for predicting the stiffness between contact surfaces. Based on the calculated surface parameters, elastoplastic contact analysis is performed according to the interference between two surfaces based on the Greenwood-Williamson model. The equivalent bending stiffness is predicted based on the shape and elastoplastic contact stiffness of the curvic coupling. An equation of motion of the rod-fastened rotor, including the bending stiffness of the curvic coupling, is developed. Methods for applying the bending stiffness of a curvic coupling to the equation of motion and for modeling the equation of motion of a rotor that includes both inner and outer rotors are introduced. Rotordynamic analysis is performed through one-dimensional finite element analysis, and each element is modeled based on Timoshenko beam theory. Changes in bending stiffness and the resultant critical speed change in accordance with the rod fastening force are predicted, and the corresponding mode shapes are analyzed.

Dynamic analysis of a coupled steel-concrete composite box girder bridge-train system considering shear lag, constrained torsion, distortion and biaxial slip

  • Li Zhu;Ray Kai-Leung Su;Wei Liu;Tian-Nan Han;Chao Chen
    • Steel and Composite Structures
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    • 제48권2호
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    • pp.207-233
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    • 2023
  • Steel-concrete composite box girder bridges are widely used in the construction of highway and railway bridges both domestically and abroad due to their advantages of being light weight and having a large spanning ability and very large torsional rigidity. Composite box girder bridges exhibit the effects of shear lag, restrained torsion, distortion and interface bidirectional slip under various loads during operation. As one of the most commonly used calculation tools in bridge engineering analysis, one-dimensional models offer the advantages of high calculation efficiency and strong stability. Currently, research on the one-dimensional model of composite beams mainly focuses on simulating interface longitudinal slip and the shear lag effect. There are relatively few studies on the one-dimensional model which can consider the effects of restrained torsion, distortion and interface transverse slip. Additionally, there are few studies on vehicle-bridge integrated systems where a one-dimensional model is used as a tool that only considers the calculations of natural frequency, mode and moving load conditions to study the dynamic response of composite beams. Some scholars have established a dynamic analysis model of a coupled composite beam bridge-train system, but where the composite beam is only simulated using a Euler beam or Timoshenko beam. As a result, it is impossible to comprehensively consider multiple complex force effects, such as shear lag, restrained torsion, distortion and interface bidirectional slip of composite beams. In this paper, a 27 DOF vehicle rigid body model is used to simulate train operation. A two-node 26 DOF finite beam element with composed box beams considering the effects of shear lag, restrained torsion, distortion and interface bidirectional slip is proposed. The dynamic analysis model of the coupled composite box girder bridge-train system is constructed based on the wheel-rail contact relationship of vertical close-fitting and lateral linear creeping slip. Furthermore, the accuracy of the dynamic analysis model is verified via the measured dynamic response data of a practical composite box girder bridge. Finally, the dynamic analysis model is applied in order to study the influence of various mechanical effects on the dynamic performance of the vehicle-bridge system.

터보 압축기 다단 회전축계의 진동 및 안정성 연구 (Vibration and Stability Analysis of a Multi-stepped Shaft System of Turbo Compressor)

  • 서정석;강성환;박상윤;안창기;송오섭
    • 한국소음진동공학회논문집
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    • 제24권8호
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    • pp.583-591
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    • 2014
  • The mathematical modeling on the free vibration and stability of a multi-stepped shaft of turbo compressor is performed in this study. The multi-stepped shaft is modeled as a non-uniform Timoshenko beam supported by anisotropic bearings. It is assumed that the shaft is spinning with constant speed about its longitudinal axis and subjected to a conservative axial force induced by front and rear impellers attached to the shaft. The structural model incorporates non-classical features such as transverse shear and rotary inertia. A structural coupling between vertical and lateral motions is induced by Coriolis acceleration terms. The governing equations are derived via Hamilton's variational principle and the equations are transformed to the standard form of an eigenvalue problem. The implications of combined gyroscopic effect, conservative axial force, bearing stiffness and damping are revealed and a number of pertinent conclusions are outlined. In this study analytical results are compared with those from ANSYS finite element analysis and experimental modal testing.

하이브리드 유한요소해석을 위한 인공지능 조인트 모델 개발 (Development of Artificial Intelligence Joint Model for Hybrid Finite Element Analysis)

  • 장경석;임형준;황지혜;신재윤;윤군진
    • 한국항공우주학회지
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    • 제48권10호
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    • pp.773-782
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    • 2020
  • 심층신경망 기반 하이브리드 유한요소해석을 위한 조인트 모델 방법 구축을 소개한다. 트렉터의 앞차축에서 다양한 체결 조건에 의해 유발되는 복잡한 거동 상태를 가지는 볼트와 베어링의 재료 모델을 심층신경망으로 대체했다. 볼트는 6자유도를 갖는 1차원 티모센코 빔 요소를 이용했고, 베어링은 3차원 솔리드 요소를 이용했다. 다양한 하중 조건을 바탕으로 유한요소해석을 한 뒤, 모든 요소에서 응력-변형률 데이터를 추출하고 텐서플로를 이용하여 학습시켰다. 신경망 기반 유한요소해석을 할 때 추출된 데이터를 바탕으로 학습된 심층신경망은 ABAQUS 서브루틴 안에 포함되어 현재 해석 증분의 응력을 예측하고 접선강도행렬을 계산할 수 있게 했다. 학습된 심층신경망 조인트 모델의 일반화 성능은 훈련에 사용되지 않은 새로운 하중 조건에서 해석하여 검증하였다. 최종적으로 이 방법을 이용하여 심층신경망 기반 앞차축 해석을 진행하고 응력장 분포를 검증했다. 또한, 실제 트렉터의 3점 굽힘 실험 결과와 비교하여 심층신경망 기반 해석의 타당성을 검토했다.