• Title/Summary/Keyword: Stiffness curve

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Development of Adhesion Force Measurement Apparatus with High Stiffness and High Resolution (고탄성 고분해능을 갖는 응착력 측정장치의 개발)

  • Kim, Gyu-Sung;Yoon, Jun-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.3 s.192
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    • pp.140-146
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    • 2007
  • To understand adhesive phenomena, we need to get force curve between two surfaces. And it is said that high stiffness force analysis system is needed to get precise force curve and more information of the surfaces. Usually the stiffness of the force measurement system is under the order of 10N/m. The stiffer force measurement system, however, results in more information on the surface, because higher stiffness lead to the wider range of force curves, secondly because the force curve obtained through the stiffer one describes more precise relationship between relative tip-sample separation and interaction force. In this paper, considering for stiffness and resolution, the cantilever was designed and we made adhesion force measurement apparatus with high stiffness and high resolution, so we measured adhesive force between Ag-ball and wafer.

Equivalent stiffness method for nonlinear analysis of stay cables

  • Xia, G.Y.;Cai, C.S.
    • Structural Engineering and Mechanics
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    • v.39 no.5
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    • pp.661-667
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    • 2011
  • In the famous equivalent elasticity modulus method proposed by Ernst for the geometrical nonlinear analysis of stay cables, the cable shape was assumed as a parabolic curve, and only a part of the gravity load normal to the chord was taken into account with the other part of gravity load parallel to the chord being ignored. Using the actual catenary curve and considering the entire gravity load of stay cables, the present study has derived the equivalent stiffness method to analyze the sag effect of stay cables in cable-stayed bridges. The derived equivalent stiffness can be degenerated into Ernst's equivalent elasticity modulus method with some approximations. Therefore, the Ernst's method is a special and approximate formulation of the present method. The derived equivalent stiffness provides a theoretical explanation for the famous Ernst's formula.

A Study on the Behavior Properties of Residential-Commercial Building by Pushover Analysis (정적탄소성해석에 의한 복합구조물의 거동특성에 관한 연구)

  • 강병두;전대한;김재웅
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.209-216
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    • 2000
  • The purpose of this study is to investigate elasto-plastic behaviour and estimate ultimate resistance capacity of the residential-commercial building subjected to lateral force along the height of structure. Four types of residential-commercial building are chosen as analytical models and investigated by pushover analysis. Pushover analysis estimates initial elastic stiffness, post-yielding stiffness, and plastic hinges on each story of structures through three-dimensional nonlinear analysis program CANNY-99. Skeleton curve of bending stiffness model is bilinear, shear stiffness model is trilinear, and axial stiffness model is elastic. Skeleton curve of axial stiffness model has the axial compression and tension stiffness of reinforced concrete members. This study presents the change of inter story drift, story stiffness and hinge of story and member.

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A Method for Evaluation of Hollow Existence in Sublayers of Concrete Pavement Considering Pavement Stiffness (포장강성을 고려한 콘크리트 포장하부 공동유무 평가방법)

  • Sohn, Dueck Su;Lee, Jae Hoon;Jeong, Ho Seong;Park, Joo Young;Jeong, Jin Hoon
    • International Journal of Highway Engineering
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    • v.15 no.1
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    • pp.95-102
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    • 2013
  • PURPOSES: The existing method evaluating the existence of the hollows in concrete pavement does not consider the stiffness of pavement. In addition, the method uses unreasonable logic judging the hollow existence by the deflection caused by zero loading. In this study, the deflection of slab corner due to heavy weight deflectometer (HWD) was measured in concrete pavement sections where underground structures are located causing the hollows around them. METHODS: The modulus of subgrade reaction obtained by comparing the actual deflection of slab to the result of finite element analysis was calibrated into the composite modulus of subgrade reaction. The radius of relative stiffness was calculated, and the relationship between the ratio of HWD load to the radius of relative stiffness and the slab deflection was expressed as the curve of secondary degree. RESULTS: The trends of the model coefficients showing width and maximum value of the curve of secondary degree were analyzed by categorizing the pavement sections into three groups : hollows exist, additional investigation is necessary, and hollows do not exist. CONCLUSIONS: The results analyzed by the method developed in this study was compared to the results analyzed by existing method. The model developed in this study will be verified by analyzing the data obtained in other sections with different pavement structure and materials.

Brake Squeal Analysis with Respect to Caliper Contact Stiffness (캘리퍼 접촉강성을 고려한 브레이크 스퀼 해석)

  • Nam, Jaehyun;Kang, Jaeyoung
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.8
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    • pp.717-724
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    • 2013
  • The present study provides the numerical results in association with caliper stiffness and friction curve. From the numerical results, it is concluded that the pad vibration modes with dominant displacement in rotation direction is sensitive in the flutter instability. Particularly, the pad rigid mode is shown to become the squeal mode when the caliper stiffness is introduced in brake squeal model. Therefore, the caliper contact stiffness between the pad and caliper is expected to contribute to the squeal modes of the brake pad.

A topological optimization method for flexible multi-body dynamic system using epsilon algorithm

  • Yang, Zhi-Jun;Chen, Xin;Kelly, Robert
    • Structural Engineering and Mechanics
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    • v.37 no.5
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    • pp.475-487
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    • 2011
  • In a flexible multi-body dynamic system the typical topological optimization method for structures cannot be directly applied, as the stiffness varies with position. In this paper, the topological optimization of the flexible multi-body dynamic system is converted into structural optimization using the equivalent static load method. First, the actual boundary conditions of the control system and the approximate stiffness curve of the mechanism are obtained from a flexible multi-body dynamical simulation. Second, the finite element models are built using the absolute nodal coordination for different positions according to the stiffness curve. For efficiency, the static reanalysis method is utilized to solve these finite element equilibrium equations. Specifically, the finite element equilibrium equations of key points in the stiffness curve are fully solved as the initial solution, and the following equilibrium equations are solved using a reanalysis method with an error controlled epsilon algorithm. In order to identify the efficiency of the elements, a non-dimensional measurement is introduced. Finally, an improved evolutional structural optimization (ESO) method is used to solve the optimization problem. The presented method is applied to the optimal design of a die bonder. The numerical results show that the presented method is practical and efficient when optimizing the design of the mechanism.

Effect of the Main Structure Stiffness on the Frontal Collision Behavior (차체 추요 부재의 강성이 정면 충돌 거동에 미치는 영향)

  • Kim, Chon-Wook;Han, Byoung-Kee;Kim, Jong-Chan;Jung, Hoon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.10 no.4
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    • pp.234-241
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    • 2002
  • In this study, the car crash analysis that simulates the crushing behavior of car forestructure during a frontal impact is carried out. The analysis model for front impact of a car consists of the lumped mass and the spring model. The characteristics value of masses and springs is obtained from the static analysis of a target car. The deceleration-time curve obtained from the simulation are compared with NCAP test data from the NHTSA. They show a good agreement with frontal crash test data. The deceleration-time curve of passenger compartment is classified into 3 stages; beginning stage, middle stage, and last stage. And the behavior of masses at each stage is explained. The effect of stiffness variation on deceleration of passenger compartment is resolved. The maximum loaded peak-time of torque box and dash is the main factor to control the passenger compartment's maximum deceleration.

Static and Dynamic Weak Point Analysis of Spindle Systems Using Bending Curve (굽힘곡선을 이용한 공작기계 주축의 정적 동적 취약부 규명)

  • 이찬홍;이후상
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.12
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    • pp.188-193
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    • 1998
  • This paper describes static and dynamic weak point analysis of spindle systems to eliminate high concentrated bending point on spindle and improve total stiffness of spindle systems. The weak point analysis is based on the evaluation of bending curves of spindles. For static weak point analysis the bending curve is derived from static deflection curve and for dynamic weak point analysis it is derived from the mode shape curves in consideration of the transfer function at exciting point. The validity of the weak point search methodology is verified by comparison of the static deflection, the natural frequency and the dynamic compliance between the original and the improved spindle.

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Determination of the Nonlinear Parameters of Stiffness and Force Factor of the Loudspeaker (스피커 지지부 강성과 Force Factor의 비선형계수 추출)

  • Doo, Se-Jin;Sung, Koeng-Mo
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.5
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    • pp.29-35
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    • 1995
  • Nonlinear distortion arising from the nonlinear movement of the loudspeaker diaphragm degradates the tone quality. The distortion is, in low frequency range, mainly caused by nonlinear characteristics of the suspension stiffness and the force factor. In this paper, the nonlinear suspension stiffness and the nonlinear force factor are modeled to the quadratic functions and a method is proposed to determine their coefficients. An additional mass to the diaphragm moved the quiescent point of the diaphragm and uncoupled the stiffness and the force factor. This made it possible to deter mine the coefficients of the nonlinear suspension stiffness by measuring the resonance frequencies at several quiescent points. The coefficients of the nonlinear force factor are then determined by fitting the curve which is calculated from the waveforms of input voltage and input current, and the displacement of the diaphragm at resonance frequency.

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Static and fatigue behavior of through-bolt shear connectors with prefabricated HFRC slabs

  • He, Yuliang;Zhuang, Jie;Hu, Lipu;Li, Fuyou;Yang, Ying;Xiang, Yi-qiang
    • Structural Engineering and Mechanics
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    • v.83 no.1
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    • pp.109-121
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    • 2022
  • Twelve push-out test specimens were conducted with various parameters to study the static and fatigue performance of a new through-bolt shear connector transferring the shear forces of interface between prefabricated hybrid fiber reinforced concrete (HFRC) slabs and steel girders. It was found that the fibers could improve the fatigue life, capacity and initial stiffness of through-bolt shear connector. While the bolt-hole clearance reduced, the initial stiffness, capacity and slippage of through-bolt shear connector increased. After the steel-concrete interface properties were improved, the initial stiffness increased, and the capacity and slippage reduced. Base on the test results, the equation of the load-slip curve and capacity of through-bolt shear connector with prefabricated HFRC slab were obtained by the regression of test results, and the allowable range of shear force under fatigue load was recommended, which could provide the reference in the design of through-bolt shear connector with prefabricated HFRC slabs.