• Title/Summary/Keyword: Stiffness coefficient matrix

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TURBO TYPE AIR COMPRESSOR DESIGN FOR LOW VIBRATION LEVEL (저진동을 위한 터보형 공기압축기의 설계)

  • Kim, Myeong-Kuk;Jung, Yong-Soo;Park, No-gill
    • 유체기계공업학회:학술대회논문집
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    • 1998.12a
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    • pp.159-165
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    • 1998
  • Bearing design of turbo type geared centrifugal air compressor for low vibration level has been studied. The Transfer Matrix Method was used in this paper to analyze the air-compressor consisting of impellers, multi-stage geared rotors, and oil-film hearings. We have to consider this air-compressor as multi-geared rotating system, because characteristics of rotor-bearing system are different from conventional characteristics of non-rotating system. From the view point of Rotordynamics, the stiffness and damping coefficient of oil-film bearing in case of compressor system are more sensitive than other design parameters such as shaft length, shaft diameter and the weight of impellers, etc. Therefore, the stiffness and damping coefficients on each bearing were considered as design parameters. As the result of this study, turbo type air compressor with low vibration level can be achieved.

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Buckling and vibration of rectangular plates of variable thickness with different end conditions by finite difference technique

  • Rajasekaran, Sundaramoorthy;Wilson, Antony John
    • Structural Engineering and Mechanics
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    • v.46 no.2
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    • pp.269-294
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    • 2013
  • This paper is concerned with the determination of exact buckling loads and vibration frequencies of variable thickness isotropic plates using well known finite difference technique. The plates are subjected to uni, biaxial compression and shear loadings and various combinations of boundary conditions are considered. The buckling load is found out as the in plane load that makes the determinant of the stiffness matrix equal to zero and the natural frequencies are found out by carrying out eigenvalue analysis of stiffness and mass matrices. New and exact results are given for many cases and the results are in close agreement with the published results. In this paper, like finite element method, finite difference method is applied in a very simple manner and the application of boundary conditions is also automatic.

Free vibration analysis of FG porous spherical cap reinforced by graphene platelet resting on Winkler foundation

  • Xiangqian Shen;Tong Li;Lei Xu;Faraz Kiarasi;Masoud Babaei;Kamran Asemi
    • Advances in nano research
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    • v.16 no.1
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    • pp.11-26
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    • 2024
  • In this study, free vibration analysis of FG porous spherical cap reinforced by graphene platelets resting on Winkler-type elastic foundation has been surveyed for the first time. Three different types of porosity patterns are considered for the spherical cap whose two types of porosity patterns in the metal matrix are symmetric and the other one is uniform. Besides, five GPL patterns are assumed for dispersing of GPLs in the metal matrix. Tsai-Halpin and extended rule of the mixture are used to determine the Young modulus and mass density of the shell, respectively. Employing 3D FEM elasticity in conjunction with Hamilton's Principle, the governing motion equations of the structure are obtained and solved. The impact of various parameters including porosity coefficient, various porosity distributions in conjunction with different GPL patterns, the weight fraction of graphene Nano fillers, polar angles and stiffness coefficient of elastic foundation on natural frequencies of FG porous spherical cap reinforced by GPLs have been reported for the first time.

On the $L_2(\Omega)$-error for the p-version under numerical quadrature rules

  • Kim, Ik-Sung
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.503-514
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    • 1996
  • We consider non-constant coefficient elliptic equations of the type -div(a \bigtriangledown u) = f$, and employ the P-version of the finite element method as a numerical method for the approximate solutions. To compute the integrals in the variational form of the discrete problem we need the numerical quadrature rule scheme. In practice the integrations are seldom computed exactly. In this paper, we give an $L_2(\Omega)$-error estimate of $\Vert u = \tilde{u}_p \Vert_{0,omega}$ in comparison with $\Vert u = \tilde{u}_p \Vert_{1,omega}$, under numerical quadrature rules which are used for calculating the integrations in each of the stiffness matrix and the load vector.

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Frequency Characteristics of a Membrane-Cavity System and its Applications (박막-공동계의 주파수 특성과 응용)

  • 김양한;임종민
    • Journal of KSNVE
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    • v.9 no.6
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    • pp.1123-1130
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    • 1999
  • A system which is composed of a membrane and an air cavity is studied. To analyze the low frequency characteristics of a single membrane-cavity system, a plane wave model is derived. The relations among system variables, such as tension, density and stiffness, are investigated. Absorption coefficient has a maximum value at a peak frequency. In addition, a membrane-cavity system absorbs the low frequency noise with a band around peak frequency. This band is primarily determined by damping effect of the system. Furthermore, a multiple membrane-cavity system is investigated by using the transfer matrix method. To show the practical applicability of the proposed model, extensive experiments were conducted. Results show that a multiple membrane-cavity system can have broader noise reduction in the low frequency range than single.

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Stability and parameters influence study of fully balanced hoist vertical ship lift

  • Cheng, Xionghao;Shi, Duanwei;Li, Hongxiang;Xia, Re;Zhang, Yang;Zhou, Ji
    • Structural Engineering and Mechanics
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    • v.66 no.5
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    • pp.583-594
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    • 2018
  • A theoretical formulation based on the linearized potential theory, the Descartes' rule and the extremum optimization method is presented to calculate the critical distance of lifting points of the fully balanced hoist vertical ship lift, and to study pitching stability of the ship lift. The overturning torque of the ship chamber is proposed based on the Housner theory. A seven-free-degree dynamic model of the ship lift based on the Lagrange equation of the second kind is then established, including the ship chamber, the wire rope, the gravity counterweights and the liquid in the ship chamber. Subsequently, an eigenvalue equation is obtained with the coefficient matrix of the dynamic equations, and a key coefficient is analyzed by innovative use of the minimum optimization method for a stability criterion. Also, an extensive influence of the structural parameters contains the gravity counterweight wire rope stiffness, synchronous shaft stiffness, lifting height and hoists radius on the critical distance of lifting points is numerically analyzed. With the Runge-Kutta method, the four primary dynamical responses of the ship lift are investigated to demonstrate the accuracy/reliability of the result from the theoretical formulation. It is revealed that the critical distance of lifting points decreases with increasing the synchronous shaft stiffness, while increases with rising the other three structural parameters. Moreover, the theoretical formulation is more applicable than the previous criterions to design the layout of the fully balanced hoist vertical ship lift for the ensuring of the stability.

Development of Aluminum Matrix Composites Containing Nano-carbon Materials (나노탄소물질을 함유하는 알루미늄기지 복합소재 개발)

  • Kim, Jungjoon;Kim, Daeyoung;Choi, Hyunjoo
    • Journal of Powder Materials
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    • v.28 no.3
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    • pp.253-258
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    • 2021
  • There is increasing demand for the development of a new material with high strength, high stiffness, and good electrical conductivity that can be used for high-voltage direct current cables. In this study, we develop aluminum-based composites containing C60 fullerenes, carbon nanotubes, or graphene using a powder metallurgical route and evaluate their strength, stiffness, coefficient of thermal expansion, and electrical conductivity. By optimizing the process conditions, a material with a tensile strength of 800 MPa, an elastic modulus of 90 GPa, and an electrical conductivity of 40% IACS is obtained, which may replace iron-core cables. Furthermore, by designing the type and volume fraction of the reinforcement, a material with a tensile strength of 380 MPa, elastic modulus of 80 GPa, and electrical conductivity of 54% IACS is obtained, which may compete with AA 6201 aluminum alloys for use in all-aluminum conductor cables.

Abrasive Wear of Hybrid Metal Matrix Composites for High Wear Resistance (고 내마모성 혼합 금속복합재료의 연삭마모)

  • 송정일
    • Composites Research
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    • v.12 no.5
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    • pp.12-22
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    • 1999
  • Aluminum based metal matrix composites(MMCs) are well known for their high specific strength, stiffness and hardness. They are gaining further importance because of their high wear resistance. In this study wear behavior of $Al/Al_2O_3/C$ hybrid MMCs fabricated by squeeze infiltration method was characterized by the abrasive wear test under various sliding speeds at room and high temperature. Wear resistance of MMCs was improved due to the presence of reinforcements at high sliding speed. Especially wear resistance of carbon hybrid MMCs was superior to other materials because of its solid lubrication of carbon. The friction coefficient of MMCs was not affected by the sliding speed.

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Effect of Tooth Shape and Unbalanced M.M.F on Static Thrust Force Characteristics of Linear Pulse Motor (리니어 펄스 모터에서 치 형상과 기자력 불평형이 정추력 특성에 미치는 영향)

  • Lee, Dong-Ju;Lee, Eun-Ung;Kim, Seong-Heon;Kim, Seong-Jong
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.3
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    • pp.131-137
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    • 2000
  • 2 phase 8 pole HB-type(flat-type) Linear Pulse Motor can be used as the high precision position actuator because of its many advantages (simple control circuit, high stiffness characteristics, etc). Also, using the microstep drive, its noise and vibration can be reduced considerably and positional resolution may be increased further. But, $20^{\circ}$tapered tooth shape to reduce the normal force have an much effect on the static thrust force characteristics. And, because of hybrid-type LPM, interaction between the permanent magnet and the excitation current have an effect on the various characteristics of LPM. Hence, in this paper, the effect of tooth shape on static thrust force characteristics was analyzed using the air gap permeance by finite element method. For analyzing the effect of unbalance between the m.m.f of permanent magnet and the m.m.f of excitation current, unbalanced m.m.f coefficient $\sigma$ were introduced with the permenace matrix and switching matrix.

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Effects of oil absorption on the wear behaviors of carbon/epoxy woven composites

  • Lee, Jae-H.;Lee, Jae-S.;Rhee, Kyong-Y.
    • Carbon letters
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    • v.12 no.4
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    • pp.249-251
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    • 2011
  • Carbon/epoxy woven composites are prominent wear-resistant materials due to the strength, stiffness, and thermal conductivity of carbon fabric. In this study, the effect of oilabsorption on the wear behaviors of carbon/epoxy woven composites was investigated. Wear tests were performed on dry and fully oil-absorbed carbon/epoxy woven composites. The worn surfaces of the test specimens were examined via scanning electron microscopy to investigate the wear mechanisms of oil-absorbed carbon/epoxy woven composites. It was found that the oil absorption rate was 0.14% when the carbon/epoxy woven composites were fully saturated. In addition, the wear properties of the carbon/epoxy woven composites were found to be affected by oilabsorption. Specifically, the friction coefficients of dry and oil-absorbed carbon/epoxy woven composites were 0.25-0.30 and 0.55-0.6, respectively. The wear loss of the oilabsorbed carbon/epoxy woven composites was $3.52{\times}10^{-2}\;cm^3$, while that of the dry carbon/epoxy woven composites was $3.52{\times}10^{-2}\;cm^3$. SEM results revealed that the higher friction coefficient and wear loss of the oil-absorbed carbon/epoxy woven composites can be attributed to the existence of broken and randomly dispersed fibers due to the weak adhesion forces between the carbon fibers and the epoxy matrix.