• 제목/요약/키워드: Statically Determinate Method

검색결과 16건 처리시간 0.021초

엔진 메인 베어링에서의 최소유막두께에 관한 연구 (A Study on the Minimum Oil Film Thickness of Crankshaft Main Bearings in Engine)

  • 최재권;이정현;한동철
    • Tribology and Lubricants
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    • 제8권2호
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    • pp.50-63
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    • 1992
  • The minimum oil film thicknesses (MOFT) in the crankshaft main bearings of a 1.5 liter, L-4, gasoline engine are measured and calculated to study the dynamically loaded engine bearing. The MOFT are measured simultaneously at each of the five main bearings using the total capacitance method(TCM). To improve the reliability of the TCM, a reasonable determination method of bearing clearance is introduced and the effects of bearipg cavitation and aeration on the test results are analyzed. Also the crankshaft is grounded by means of a slip ring instead of the friction contact method to improve the test precision. The calculation is based on the model of statically determinate beam, short bearing approximation and Mobility method. From the comparison between the measured and calculated MOFT curves, it is found that a qualitative similarity exists between them, but in all cases, measured MOFT are smaller than that of calculated. The crankshaft vibration and the imbalance of the load distribution between the engine bearings have important influence upon the MOFT curve. So it is found that the calculation result from the model of the statically determinate beam has a limitation in predicting bearing performance.

A matrix displacement formulation for minimum weight design of frames

  • Orakdogen, Engin
    • Structural Engineering and Mechanics
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    • 제14권4호
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    • pp.473-489
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    • 2002
  • A static linear programming formulation for minimum weight design of frames that is based on a matrix displacement method is presented in this paper. According to elementary theory of plasticity, minimum weight design of frames can be carried out by using only the equilibrium equations, because the system is statically determinate when at an incipient collapse state. In the present formulation, a statically determinate released frame is defined by introducing hinges into the real frame and the bending moments in yield constraints are expressed in terms of unit hinge rotations and the external loads respectively, by utilizing the matrix displacement method. Conventional Simplex algorithm with some modifications is utilized for the solution of linear programming problem. As the formulation is based on matrix displacement method, it may be easily adopted to the weight optimization of frames with displacement and deformation limitations. Four illustrative examples are also given for comparing the results to those obtained in previous studies.

Load Characteristics of Engine Main Bearing : Comparison Between Theory and Experiment

  • Cho, Myung-Rae;Oh, Dae-Yoon;Ryu, Seung-Hyuk;Han, Dong-Chul
    • Journal of Mechanical Science and Technology
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    • 제16권8호
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    • pp.1095-1101
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    • 2002
  • The load characteristics of engine main bearing are very important in the design of crankshaft and engine block. The stiffness of crankshaft and block, or the optimal dimension of the bearing can be determined according to the load level. This paper presents the load characteristics of engine main bearing. Two components of the main bearing load are measured during engine firing and motoring. The vertical and horizontal load components are measured by using the dynamic load cell mounted in each main bearing cap bolt. The measured main bearing loads are compared with calculated results by using the statically determinate method. The theoretical results, provided in this study, agreed well with the experimental results. The presented results are very useful for achieving optimal design of engine.

Multi-objective topology and geometry optimization of statically determinate beams

  • Kozikowska, Agata
    • Structural Engineering and Mechanics
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    • 제70권3호
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    • pp.367-380
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    • 2019
  • The paper concerns topology and geometry optimization of statically determinate beams with arbitrary number of supports. The optimization problem is treated as a bi-criteria one, with the objectives of minimizing the absolute maximum bending moment and the maximum deflection for a uniform gravity load. The problem is formulated and solved using the Pareto optimality concept and the lexicographic ordering of the objectives. The non-dominated sorting genetic algorithm NSGA-II and the local search method are used for the optimization in the Pareto sense, whereas the genetic algorithm and the exhaustive search method for the lexicographic optimization. Trade-offs between objectives are examined and sets of Pareto-optimal solutions are provided for different topologies. Lexicographically optimal beams are found assuming that the maximum moment is a more important criterion. Exact formulas for locations and values of the maximum deflection are given for all lexicographically optimal beams of any topology and any number of supports. Topologies with lexicographically optimal geometries are classified into equivalence classes, and specific features of these classes are discussed. A qualitative principle of the division of topologies equivalent in terms of the maximum moment into topologies better and worse in terms of the maximum deflection is found.

동지점 유한요소를 이용한 정정보의 지진해석 (Seismic Analysis of Statically Determinate Beams Using Moving Support Finite Elements)

  • 김용우;이승열;정명조
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 춘계학술대회 논문집
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    • pp.194-199
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    • 2013
  • Using moving support finite elements, seismic analysis of statically-determinate beams subjected to support motions is performed to show its accuracy and its ease of use. Examples of cantilever and simply-supported beam subjected to support motions are illustrated and the numerical results are compared with the analytical solutions. The examples show the elements facilitate modeling beams with the conventional 2-noded, Hermitian, Euler-Bernoulli beam element. The comparisons of the results with analytical solutions show good agreements with high accuracy.

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지점운동을 받는 정정보의 동해석을 위한 동지점 유한요소 개발 (Moving Support Elements for Dynamic Finite Element Analysis of Statically Determinate Beams Subjected to Support Motions)

  • 김용우;정명조
    • 대한기계학회논문집A
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    • 제37권4호
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    • pp.555-567
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    • 2013
  • 지점운동을 받는 베르누이-오일러 보의 동적 유한요소해석을 위하여, 준정적 분해법을 사용하여 유한요소 정식화 및 지점운동 묘사를 위한 보요소를 개발하였다. 이 보요소들은 전통적인 2 절점 Hermitian 보 요소로서 기존의 모델링 방법을 그대로 따르면서 한 쪽 절점이 운동하는 지점과 일치하는 경우 해당 요소만을 본 연구에서 제안하는 요소로 대체하여 사용할 수 있도록 수식화하였다. 이 요소의 유용성과 정확성을 보이기 위해 지점운동을 받는 정정보들에 대해 수치실험을 실시하고 그 결과들을 이론해와 비교함으로써 사용이 간편함과 동시에 정확도가 매우 높다는 사실을 보였다.

Direct kinematic method for exactly constructing influence lines of forces of statically indeterminate structures

  • Yang, Dixiong;Chen, Guohai;Du, Zongliang
    • Structural Engineering and Mechanics
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    • 제54권4호
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    • pp.793-807
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    • 2015
  • Constructing the influence lines of forces of statically indeterminate structures is a traditional issue in structural engineering and mechanics. However, the existing kinematic method for establishing these force influence lines is an indirect or mixed approach by combining the force method with the theorem of reciprocal displacements, which is yet inconsistent with the kinematic method for statically determinate structure. This paper proposes the direct kinematic method in conjunction with the load-displacement differential relation for exactly constructing influence lines of reaction and internal forces of indeterminate structures. Firstly, through applying the principle of virtual displacement, the formula for influence lines of reaction and internal forces of indeterminate structure via direct kinematic method is derived based on the released structure. Then, a computational approach with a clear concept and unified procedure as well as wide applicability based on the load-displacement differential relation of beam is suggested to achieve conveniently the closed-form expression of force influence lines, and exactly draw them. Finally, three representative examples for constructing force influence lines of statically indeterminate beams and frame illustrate the superiority of the proposed method.

Comparative Study of Metallic and Non-metallic Stiffened Plates in Marine Structures

  • Jeong, Han-Koo
    • 한국전산구조공학회논문집
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    • 제23권6호
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    • pp.715-726
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    • 2010
  • In this paper, a comparative study of metallic and non-metallic stiffened plates under a lateral pressure load is performed using conventional statistically determinate and SQP(Sequential Quadratic Programming) optimisation approaches. Initially, a metallic flat-bar stiffened plate is exemplified from the superstructure of a marine vessel and, subsequently, its structural topology is varied as hat-section stiffened FRP(Fibre Reinforced Plastics) single skin plates and monocoque FRP sandwich plates having a PVC foam core. These proposed structural alternatives are analysed using elastic closed-form solutions and SQP optimisation method under stress and deflection limits obtained from practice to calculate and optimise geometry dimensions and weights. Results obtained from the comparative study provide useful information for marine designers especially at the preliminary design stage where various building materials and structural configurations are dealt with.

닫힘모멘트를 받는 우각부의 보강철근량 산정에 관한 연구 (A Study on Reinforcing Bar Computation of Corner Joint in Closing Moment)

  • 이명곤;정제평;모귀석;김우
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2002년도 봄 학술발표회 논문집
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    • pp.239-244
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    • 2002
  • The reinforcing bar computation have to be reflected stress distribution and geometrical condition of a comer joint when the closing moment acted at comer joint. This study analyzes stress distribution of a corner joint with statically determinate truss model. Compared with FEM analysis and result of truss model suggested design method consider strengthening efficiency of main reinforcement.

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지지점 가속도에 의해 가진되는 보의 응력계산에 대한 거대질량법의 정확도 (Numerical Tests of Large Mass Method for Stress Calculation of Euler-Bernoulli Beams Subjected to Support Accelerations)

  • 김용우;최남석;정명조
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 춘계학술대회 논문집
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    • pp.188-193
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    • 2013
  • The large mass method for dynamic analysis of statically determinate beams subjected to in-phase support motions is justified by showing that the equation of motion of the beams under consideration is equivalent to that of large mass model of the beam when an appropriate large mass ratio is employed. The accuracy of the stress responses based on the beam large mass method is investigated through careful numerical tests. The numerical results are compared to analytic solutions and the comparison shows that the large mass method yields not only the time history of motion but also the distributions of bending moment and shear force accurately.

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