• 제목/요약/키워드: Non-linear Contact Stiffness

검색결과 23건 처리시간 0.026초

굴삭기용 선회감속기의 베어링 특성이 기어 하중 분포에 미치는 영향 분석 (Effects of Bearing Characteristic on the Gear Load Distribution in the Slewing Reducer for Excavator)

  • 김정길;박영준;이근호;김재훈
    • 한국기계가공학회지
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    • 제13권5호
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    • pp.8-14
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    • 2014
  • A slewing reducer consists of two planetary gearsets which require a good load distribution over the gear tooth flank for enhanced durability. This work investigates how the bearing characteristics influence the load distribution over the gear tooth flank. A complete system model is developed to analyze a slewing reducer, including the non-linear mesh stiffness of the gears and the non-linear stiffness of bearings. The results indicate that the type, arrangement and preload of the output shaft bearings greatly influence the gear mesh misalignment, contact pattern, face load factor, gear safety factor and lifetimes of the parts.

피봇 강성을 고려한 틸팅 패드 저널 베어링의 해석 (Analysis of Tilting Pad Journal Bearings Considering Pivot Stiffness)

  • 최태규;김태호
    • Tribology and Lubricants
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    • 제30권2호
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    • pp.77-85
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    • 2014
  • This study set out to predict the load capacity and rotordynamic coefficients of tilting-pad journal bearings, taking the pivot stiffness into account. The analysis uses rocker-back (cylindrical) and ball in socket (spherical) pivot models, both of which are based on Hertzian contact stress theory. The models ascertain the non-linear elastic deformation of the pivots according to the applied load, pivot geometry, and material properties. At present, the Reynolds equation for an isothermal, isoviscous, and incompressible fluid is used to calculate the film pressure by using the finite-element method, after which the Newton-Raphson method is used to simultaneously find the journal center location, pad angles, and pivot deflections. The bearing analysis, excluding the pivot models, is validated using predictions those are readily available in the literature. As the rotor speed increases, the predicted journal eccentricity and damping coefficients decrease, but the stiffness coefficients increase, as expected. Most importantly, the implementation of the pivot models increases the journal eccentricity but significantly decreases the stiffness and damping coefficients of the tilting-pad journal bearings.

Experimental investigation of the large amplitude vibrations of a thin-walled column under self-weight

  • Goncalves, Paulo B.;Jurjo, Daniel Leonardo B.R.;Magluta, Carlos;Roitman, Ney
    • Structural Engineering and Mechanics
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    • 제46권6호
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    • pp.869-886
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    • 2013
  • This work presents an experimental methodology specially developed for the nonlinear large-amplitude free vibration analysis of a clamped-free thin-walled metal column under self-weight. The main contribution of this paper is related to the developed experimental methodology which is based on a remote sensing technique using a computer vision system that integrates, on-line, the digital image acquisition and its treatment through special image processing routines. The main importance of this methodology is that it performs large deflections measurements without making contact with the structure and thus, not introducing undesirable changes in its behavior, for instance, appreciable changes in mass and stiffness properties. This structure presents, in most cases, highly non-linear responses, which cannot be reproduced by conventional finite-element softwares due, mainly, to the simultaneous influence of geometric and inertial non-linearities. To capture the non-linearities associated with large amplitude vibration and be able to describe the buckling process, the structure is discretized as a sequence of jointed coupled elastic pendulums. The obtained numerical results are favorably compared with the experimental ones, in the pre- and post-buckling regimes.

다중격자 다중차원 기법을 응용한 캠과 종동물의 비정상 상태의 유막특성 연구 (Study on the Transient EHL Fluid Film for the Dynamic Contact Behaviors between Cam and Follower with Multigrid Multilevel Method)

  • 장시열
    • Tribology and Lubricants
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    • 제20권3호
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    • pp.132-139
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    • 2004
  • Many researches about the contacts between cam and follower have investigated EHL film thickness either without dynamic loading effect or only with curve fitting formula such as Dowson-Hamrock's, because including squeeze film effect makes it hard to obtain convergence and stability of computation. Therefore, inaccurate information about minimum film thickness without dynamic loading condition causes inappropriate design of cam profiles and wrong selection of cam and follower materials. In this work, computation tools both for kinematics and dynamics of valve train system of push-rod type and for fluid film thickness with elastic deformation on the basis of dynamic loading condition with multigrid multi-level method is developed. The computational results of minimum film thickness with the respects of both static and dynamic loading conditions are compared for the contact of flat follower over the entire cycle.

Thermo-mechanical post-buckling behavior of thick functionally graded plates resting on elastic foundations

  • Bakora, Ahmed;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • 제56권1호
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    • pp.85-106
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    • 2015
  • Postbuckling of thick plates made of functionally graded material (FGM) subjected to in-plane compressive, thermal and thermomechanical loads is investigated in this work. It is assumed that the plate is in contact with a Pasternak-type elastic foundation during deformation. Thermomechanical non-homogeneous properties are considered to be temperature independent, and graded smoothly by the distribution of power law across the thickness in the thickness in terms of the volume fractions of constituents. By employing the higher order shear deformation plate theory together the non-linear von-Karman strain-displacement relations, the equilibrium and compatibility equations of imperfect FGM plates are derived. The Galerkin technique is used to determine the buckling loads and postbuckling equilibrium paths for simply supported plates. Numerical examples are presented to show the influences of power law index, foundation stiffness and imperfection on the buckling and postbuckling loading capacity of the plates.

Forced vibrations of an elastic rectangular plate supported by a unilateral two-parameter foundation via the Chebyshev polynomials expansion

  • Zekai Celep;Zeki Ozcan
    • Structural Engineering and Mechanics
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    • 제90권6호
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    • pp.551-568
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    • 2024
  • The present study deals with static and dynamic behaviors including forced vibrations of an elastic rectangular nano plate on the two-parameter foundation. Firstly, the rectangular plate is assumed to be subjected to uniformly distributed and eccentrically applied concentrated loads. The governing equations of the problem are derived by considering the dynamic response of the plate, employing a series of the Chebyshev polynomials for the displacement function and applying the Galerkin method. Then, effects of the non-essential boundary conditions of the plate, i.e., the boundary conditions related to the shearing forces, the bending moments and the corner forces, are included in the governing equation of motion to compensate for the non-satisfied boundary conditions and increase the accuracy of the Galerkin method. The approximate numerical solution is accomplished using an iterative process due to the non-linearity of the unilateral property of the two-parameter foundation. The plate under static concentrated load is investigated in detail numerically by considering a wide range of parameters of the plate and the foundation stiffnesses. Numerical treatment of the problem in the time domain is carried out by assuming a stepwise variation of the concentrated load and the linear acceleration procedure is employed in the solution of the system of governing differential equations derived from the equation of motion. Time variations of the contact region and those of the displacements of the plate are presented in the figures for various numbers of the two-parameter of the foundation, as well as the classical and nano parameters of the plate particularly focusing on the non-linearity of the problem due to the plate lift-off from the unilateral foundation. The effects of classical and nonlocal parameters and loading are investigated in detail. Definition of the separation between the plate and the two-parameter foundation is presented and applied to the given problem. The effect of the lift-off on the static and dynamic behavior of the rectangular plate is studied in detail by considering various loading conditions. The numerical study shows that the effect of nonlocal parameters on the behavior of the plate becomes significant, when nonlinearity becomes more profound, due to the lift-off of the plate. It is seen that the size effects are significant in static and dynamic analysis of nano-scaled rectangular plates and need to be included in the mechanical analyses. Furthermore, the corner displacement of the plate is affected more significantly from the lift-off, whereas it is less marked in the time variation of the middle displacement of the plate. Several numerical examples are presented to examine the sensibility of various parameters associated with nonlocal parameters of the plate and foundation. Both stiffening and softening nonlocal parameters behavior of the plate are identified in the numerical solutions which show that increasing the foundation stiffness decreases the extent of the contact region, whereas the stiffness of the shear layer increases the contact region and reduces the foundation settlement considerably.

비선형 대변형 유한요소법을 이용한 열가소성 고무부품의 밀봉성능 예측 (Sealing Performance Prediction of Thermoplastic Rubber Component using Non-linear Large Deformation F.E.M.)

  • 박선;이신영;강은
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.669-673
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    • 2001
  • The objective of this paper is to predict and evaluate the sealing performance of the thermoplastic rubber component in the proto-design stage. The large strain and large deformation properties of rubber are modeled by strain energy function and the related material constants are calculated from the test data. The viscoelastic property of the rubber is also considered using the coefficients in a Prony series representation of a viscoelastic modulus ken the compression stress relaxation test. The results show that the current design of cap mount system has 2-different stiffness caused by the cap-mount contact and the viscoelastic property of rubber plays an important role in time dependent deformation.

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세그먼트 라이닝 이음부의 모멘트-회전 관계와 지압강도 계산 (An approach for moment-rotation relationship and bearing strength of segment lining's joint)

  • 이영준;정지승
    • 한국터널지하공간학회 논문집
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    • 제23권2호
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    • pp.93-106
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    • 2021
  • 일반적으로 세그먼트 라이닝 터널은 프리캐스트 콘크리트 세그먼트를 연결하여 하나의 링을 구성하고 터널의 진행방향으로 링을 서로 결합하여 형성한 터널을 말한다. 세그먼트 라이닝의 구조적 특성은 세그먼트 이음부의 거동에 따라 크게 달라지므로 이음부를 적절하게 모델링해야 한다. 지반 하중을 받을 때 세그먼트 이음부는 회전에 저항하는 힌지로 작동하며, 모멘트-회전 관계는 비선형 거동을 보인다. 세그먼트 이음부가 라이닝 거동에 미치는 영향을 파악하기 위해 실제 설계에 통용되는 일본 기준 및 Janssen 모델을 적용하여 세그먼트 이음부의 모멘트-회전 관계를 설정하였다. 또한 이 논문은 지압강도를 기초로 세그먼트 이음부의 회전강성을 결정하는 방법을 제시하였다. 가상의 설계조건에서 기존 모델 및 제시된 방법을 적용해 세그먼트 이음부의 회전을 추정하고 세그먼트 라이닝과 이음부에서 발생하는 단면력을 계산하였다. 세그먼트 이음부의 회전이 증가할수록 이음부의 접촉 면적이 감소하므로 세그먼트 이음부의 지압강도를 확인해야 한다. 이 논문은 세그먼트 이음부의 지압강도를 검토하기 위해 세그먼트 이음부의 회전강성을 결정하고 지압강도를 계산하는 일관된 방법을 제시하였다.

Development and validation of a computational multibody model of the elbow joint

  • Rahman, Munsur;Cil, Akin;Johnson, Michael;Lu, Yunkai;Guess, Trent M.
    • Advances in biomechanics and applications
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    • 제1권3호
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    • pp.169-185
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    • 2014
  • Computational multibody models of the elbow can provide a versatile tool to study joint mechanics, cartilage loading, ligament function and the effects of joint trauma and orthopaedic repair. An efficiently developed computational model can assist surgeons and other investigators in the design and evaluation of treatments for elbow injuries, and contribute to improvements in patient care. The purpose of this study was to develop an anatomically correct elbow joint model and validate the model against experimental data. The elbow model was constrained by multiple bundles of non-linear ligaments, three-dimensional deformable contacts between articulating geometries, and applied external loads. The developed anatomical computational models of the joint can then be incorporated into neuro-musculoskeletal models within a multibody framework. In the approach presented here, volume images of two cadaver elbows were generated by computed tomography (CT) and one elbow by magnetic resonance imaging (MRI) to construct the three-dimensional bone geometries for the model. The ligaments and triceps tendon were represented with non-linear spring-damper elements as a function of stiffness, ligament length and ligament zero-load length. Articular cartilage was represented as uniform thickness solids that allowed prediction of compliant contact forces. As a final step, the subject specific model was validated by comparing predicted kinematics and triceps tendon forces to experimentally obtained data of the identically loaded cadaver elbow. The maximum root mean square (RMS) error between the predicted and measured kinematics during the complete testing cycle was 4.9 mm medial-lateral translational of the radius relative to the humerus (for Specimen 2 in this study) and 5.30 internal-external rotation of the radius relative to the humerus (for Specimen 3 in this study). The maximum RMS error for triceps tendon force was 7.6 N (for Specimen 3).

접합요소를 이용한 볼트 접합부의 유한요소해석 (Finite Element Analysis of Bolted Connections Using Joint Elements)

  • 변대근;윤성기;박성수
    • 전산구조공학
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    • 제7권2호
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    • pp.139-146
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    • 1994
  • 볼트 접합부의 정확한 해석을 위하여 접합 요소와 볼트 요소 및 쉘 요소를 사용한 방법을 개발하였다. 접합면을 단순하게 이상화시키는 접합 요소와 장력을 갖는 볼트 요소를 도입하였고, 전체적인 계산과정은 2단계, 즉 제안된 방법에 의한 초기 강성의 결정과 뉴턴-랩슨법에 근거하는 호장법을 이용한 비선형 거동의 추적으로 구분하여 행함으로써 계산의 효율성을 증대시켰다. 앵글을 사용한 반강접 접합부와 모멘트 판을 사용한 접합부를 해석하여 기존 실험 및 해석과 비교함으로써 제안한 방법의 정확성과 적용성을 입증하였다. 또한 볼트 접합부의 정확한 해석을 위해서는 접합면에서 발생하는 미끄럼짐의 고려가 반드시 필요하며 접합부를 구성하는 판재의 3차원적인 변형의 해석도 무시할 수 없는 역할을 하는 사실을 보여주었다.

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