• Title/Summary/Keyword: Calculating Method of Stiffness

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The Axial Vibration of Internal Combustion Engine Crankshaft (Part I.Calculation method of crankshaft axial stiffness and its natural frequencies) (내연기관크랭크축계 종진동에 관한 연구 (제1보: 크랭크축의 종진성계수와 종자유진동계산))

  • 전효중;김의관
    • Journal of Advanced Marine Engineering and Technology
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    • v.5 no.1
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    • pp.34-51
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    • 1981
  • Lately, due to increasing engine output by high supercharging, heavy crankshaft and propeller mass, as well as long strokes attended with the reduced crankshaft axial stiffness, the critical crankshaft axial vibration has frequently appeared in maneuvering range of the engine. Some investigators have developed calculating methods of natural frequencies and resonant amplitudes for crankshaft axial vibrations. But their reliabilities are uncertain as the estimated crankshaft axial stiffness are incorrect. The calculating procedure of these natural frequencies is practically analogous to the classical calculation of torsional vibration frequencies, except for an important difference due to the relationship of the axial stiffness of a crank and the angle between the crank and other, especially the adjacent, cranks. In this paper, 6 calculation formulae of crankshaft axial stiffness already published and a theoretically- developed one by authors are checked by comparing their calculating results with those measured values of one model crankshafat and three full-scale actual crankshafts. Also, the calculating methods of the crankshaft axial free vibration are investigated and their computer programs are developed. Finally, those developed computer programs are applied to calculating one model crankshaft and two full-scale actual crankshafts of ship's propulsion engines and their calculated results are compared with those measured values.

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Stiffness Reduction Factor for Flat Plate Slabs (플랫 플레이트 슬래브 해석을 위한 강성감소계수 제안)

  • Park, Young-Mi;Han, Sang-Whan
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.11a
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    • pp.337-340
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    • 2006
  • The purpose of this study is to propose the stiffness reduction factor for flat plate slabs under lateral loads. Current design code (e.g., ACI 318-05) requires considering the effects of cracks for calculating slab stiffness under lateral loads. This study collected the test results of 20 interior slab-column connections, from which stiffness reduction in each test was estimated with respect to the ratio of applied moment to cracking moment ($M_a/M_{cr}$). Based on collected data, this study proposed equations for calculating stiffness reduction with respect to $M_a/M_{cr}$. To verify the proposed equations, this study conducted the experimental test of interior slab-column connections under quasi-static cyclic loading. From the test, load-deformation curve is compared to that obtained from effective beam width method with the proposed equation for the stiffness reduction. It is shown that the effective beam width method with the proposed equation for stiffness reduction predicts accurately the test results.

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An Efficient Method for Calculating Nonlinear Stiffness of the Progressive Multi-Leaf Spring (Progressive Multi-Leaf Spring의 비선형 강성해석 법)

  • Kim, Sung-Soo;Moon, Won-Kyu;Yoo, Young-Il
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.413-419
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    • 2000
  • An efficient method for calculating the nonlinear stiffness of the Progressive Multi-Leaf Spring is developed and evaluated. It utilizes the interaction between the main and help spring that induces the nonlinearity. The main and the help springs are modeled as multi-leaf cantilever beams, and, then, they are integrated as one by connecting the two models for each side of the Progressive Multi-Leaf Spring at the center-bolt. The results from the developed model are evaluated by use of the commercial FEA program, ABAQUS. The nonlinear spring coefficients calculated by FEM analysis yield the numbers very close to the numbers calculated for the spring coefficients by used of the developed method. From the comparative evaluations, the developed method is accurate enough and very efficient in calculation time for evaluating the nonlinear spring property of the Progressive Multi-Leaf Spring.

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The Effects of Different Cross Section on Natural Frequency of the Advanced Composite Materials Road Structures (복합신소재 도로구조물의 변환단면이 고유진동수에 미치는 영향)

  • Han, Bong Koo
    • International Journal of Highway Engineering
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    • v.15 no.3
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    • pp.23-29
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    • 2013
  • PURPOSES: This paper aims to give a guideline and the way to apply the advanced composite materials theory to the road structures with different cross sections to the practicing engineers. METHODS: To simple but exact method of calculating natural frequencies corresponding to the modes of vibration of road structures with different cross sections and arbitrary boundary conditions. The effect of the $D_{22}$ stiffness on the natural frequency is rigorously investigated. RESULTS: Simple method of vibration analysis for calculating the natural frequency of the different cross sections is presented. CONCLUSIONS: Simple method of vibration analysis for calculating the natural frequency of the different cross sections is presented. This method is a simple but exact method of calculating natural frequencies of the road structures with different cross sections. This method is extended to be applied to two dimensional problems including composite laminated road structures.

Study on the Dynamic Instability of Star-Dome Structures (스타돔의 동적 불안정 현상에 관한 연구)

  • Han, Sang-Eul;Hou, Xiao-Wu
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.72-77
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    • 2008
  • Stability is a very important part which we must consider in structural design. In this paper, we take advantage of finite element method, and study about parametrical instability of star-dome structures, which is subjected to harmonically pulsating load. When calculating stiffness matrix, we consider elastic stiffness and geometrical stiffness simultaneously. In equation of motion, we represent displacements and accelerations by trigonometric series expansions, and then obtain Hill's infinite determinants. After first order approximation, we can get first and second order dynamic instability region finally.

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Development of On-Line Bending Stiffness Tester (1) - Theoretical Background - (종이 휨강성 자동 측정방식의 개발과 그 이용(1) - 이론적 배경 -)

  • Seo Yung-Bum;Jung Tae-Young
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.38 no.1 s.113
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    • pp.21-26
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    • 2006
  • A simple method of on-line stiffness measurement using the wrinkling behavior of paper web between rollers was developed. The theory and calculating equation were presented, and the theoretical maximum error associated with the equation was also presented. We called the stiffness measured by Taber tester as 'Taber stiffness', and by wrinkling behavior as 'wrinkle stiffness', respectively, for comparison. By using this method, on-line complete control of paper stiffness will be possible in near future. Special care about shear wrinkle and paper dimensional effects were addressed.

Development of on-line bending stiffness tester - (2) Lab experiment (종이 휨강성 자동 측정방식의 개발과 그 이용 - (2) 실험실 측정)

  • Seo, Yung-Bum;Jung, Seok-Myun;Jung, Tae-Young
    • Proceedings of the Korea Technical Association of the Pulp and Paper Industry Conference
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    • 2007.04a
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    • pp.235-250
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    • 2007
  • A simple method of on-line stiffness measurement using the wrinkling behavior of paper web between rollers was presented. The theory and calculating equation were presented, and lab experiment was executed. We called the stiffness measured by Taber tester as 'Taber stiffness', and by tension wrinkling measurement as 'wrinkle stiffness', respectively, for comparison. Lab experimental results showed Taber and wrinkle stiffness are almost equivalent. We expect this method will work porperly for the on-line measurement of paper stiffness in near future.

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New Nonlinear Analysis Algorithm Using Equivalent Load for Stiffness (강성등가하중을 이용한 새로운 비선형해석 알고리즘)

  • Kim, Yeong-Min;Kim, Chee-Kyeong;Kim, Tae-Jin
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.6
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    • pp.731-742
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    • 2007
  • This paper presents a new nonlinear analysis algorithm, that is, adaptive Newton-Raphson iteration method, The presented algorithm is based on the existing Newton-Raphson method, and the concept of it can be summarized as calculating the equivalent load for stiffness(ELS) and adapting this to the initial global stiffness matrix which has already been calculated and saved in initial analysis and finally calculating the correction displacements for the nonlinear analysis, The key characteristics of the proposed algorithm is that it calculates the inverse matrix of the global stiffness matrix only once irresponsive of the number of load steps. The efficiency of the proposed algorithm depends on the ratio of the active Dofs - the Dofs which are directly connected to the members of which the element stiffness are changed - to the total Dofs, and based on this ratio by using the proposed algorithm as a complementary method to the existing algorithm the efficiency of the nonlinear analysis can be improved dramatically.

Comparing calculation methods of storey stiffness to control provision of soft storey in seismic codes

  • Tabeshpour, Mohammad Reza;Noorifard, Azadeh
    • Earthquakes and Structures
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    • v.11 no.1
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    • pp.1-23
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    • 2016
  • Numerous buildings have been damaged or destroyed in previous earthquakes by developing soft storey. Almost all the seismic codes have provisions to prevent soft storey in structures, most of them have recommended the ratio of stiffness between adjacent storeys, but none of them has proposed the method to calculate the storey stiffness. On the other hand a great number of previous researches on stiffness have been focused on approximate methods and accurate methods by using analytical softwares have been almost neglected. In this study, six accurate methods for calculating the storey stiffness have been studied on 246 two-bay reinforced concrete frames. It is shown with the results of the statistical study and structural analysis that method 3 in which there is no modification of the original model and the forces with triangular distribution similar to seismic forces are applied to the center of mass of all storeys has acceptable accuracy and desirable efficiency for designing and controlling structures.

Stiffness model for "column face in bending" component in tensile zone of bolted joints to SHS/RHS column

  • Ye, Dongchen;Ke, Ke;Chen, Yiyi
    • Steel and Composite Structures
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    • v.38 no.6
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    • pp.637-656
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    • 2021
  • The component-based method is widely used to analyze the initial stiffness of joint in steel structures. In this study, an analytical component model for determining the column face stiffness of square or rectangular hollow section (SHS/RHS) subjected to tension was established, focusing on endplate connections. Equations for calculating the stiffness of the SHS/RHS column face in bending were derived through regression analysis using numerical results obtained from a finite element model database. Because the presence of bolt holes decreased the bending stiffness of the column face, this effect was calculated using a novel plate-spring-based model through numerical analysis. The developed component model was first applied to predict the bending stiffness of the SHS column face determined through tests. Furthermore, this model was incorporated into the component-based method with other effective components, e.g., bolts under tension, to determine the tensile stiffness of the T-stub connections, which connects the SHS column, and the initial rotational stiffness of the joints. A comparison between the model predictions, test data, and numerical results confirms that the proposed model shows satisfactory accuracy in evaluating the bending stiffness of SHS column faces.