• Title/Summary/Keyword: Rotational Stiffness

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New Evaluation and Test of Sidewall's Rotational Stiffness of Radial Tire

  • Kim Young-Woo;Kim Yong-Sung
    • Journal of Mechanical Science and Technology
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    • v.20 no.6
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    • pp.748-758
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    • 2006
  • In this paper, we have revisited the estimation of the rotational stiffness of sidewall of radial tire and have suggested a new method for evaluation of the rotational stiffness. Since thicknesses, and volume fractions of the constituents of sidewall are varied depending on radial position, the equivalent shear modulus of the sidewall also depends on radial position. For the estimation of rotational stiffness of sidewall's rubber, we have divided its cross-section into sufficient numbers of small parts and have calculated the equivalent shear modulus of each part of sidewall. Using the shear moduli of divided parts, we have obtained the rotational stiffness by employing in-plane shear deformation theory. This method is expected to be a useful tool in tire design since it relates such basic variables to the global stillness of tire. Applying the calculation method to a radial tire of P205/60R15, we have compared its rotational stiffness with experimental one.

Theoretical rotational stiffness of the flexible base connection based on parametric study via the whale optimization algorithm

  • Mahmoud T. Nawar;Ehab B. Matar;Hassan M. Maaly;Ahmed G. Alaaser;Osman Hamdy
    • Structural Engineering and Mechanics
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    • v.88 no.1
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    • pp.43-52
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    • 2023
  • This paper handles the results of an extensive parametric study on the rotational stiffness of the flexible base connection using ABAQUS program. The results of the parametric study show the relation between the applied moment and the relative rotation for 96 different base connections. The configurations of the studied connections considered different numbers, diameters, and spacing of the anchor bolts along with different thicknesses of the base plate to investigate the effect of these parameters on the rotational stiffness behavior. The results of the previous parametric research used through the whale optimization algorithm (WOA) to detect different equation formulation of the moment-rotation (M-Ɵr) equation to detect optimum equation simulates the general nonlinear rotational behavior of the flexible base connection considering all variables used in the parametric study. WOA is a relatively new promising algorithm, which is used in different types of optimization problems. For more verification, the classical genetic algorithm (GA) is used to make a comparison with WOA results. The results show that WOA is capable of getting an optimum equation of the M-Ɵr relation, which can be used to simulate the actual rotational stiffness of the flexible base connections. The rotational stiffness at H/150 can be calculated using WOA (1) method and be used as a design aid for engineering design.

Structural Behavior Analysis of System Supports according to Boundary Condition of Joints between Vertical and Horizontal Members (시스템 동바리의 수직재와 수평재 연결부 경계조건에 따른 거동 분석)

  • Kim, Gyeoung Yun;Won, Jeong-Hun;Kim, Sang-Hyo
    • Journal of the Korean Society of Safety
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    • v.32 no.3
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    • pp.60-65
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    • 2017
  • This study examined the effect of rotational stiffness of joints between vertical and horizontal members in system supports. In order to prevent repeated disasters of system supports, it is important to examine the accurate behavior of system supports. Among various factors affecting the complex behavior of system supports, this study focused on the stiffness of joints between vertical and horizontal members. The considered joint was modelled by a rotational spring, but the translational displacements were fixed. The stiffness of rotational spring was calculated by utilizing the usable experimental data. In addition, the hinge connection condition, which is generally considered in design and only restrict the translational displacements, was modelled to compare the results. The case with the rotational stiffness in joints showed 3.5 times buckling loads compared to the case without the rotational stiffness. Thus, the structural behavior of the vertical member in system supports was similar to the vertical member with the fixed condition. For the combined stresses of vertical members, the combined stress ratios were reduced 5~6% by considering the rotational stiffness of connecting parts. However, for the horizontal member where showed relatively small stress range, the stresses were increased 2.3~7.6 times by considering the rotational stiffness in connecting parts.

Distortional buckling of cold-formed lipped channel columns subjected to axial compression

  • Zhou, Wangbao;Jiang, Lizhong
    • Steel and Composite Structures
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    • v.23 no.3
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    • pp.331-338
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    • 2017
  • Cold-formed lipped channel columns (CFLCCs) have been widely used in light gauge steel constructions. The distortional buckling is one of the important buckling modes for CFLCCs and the distortional buckling critical load depends significantly on the rotational restrain stiffness generated by the web to the lipped flange. First, a simplified explicit expression for the rotational restraint stiffness of the lipped flange has been derived. Using the expression, the characteristics of the rotational restraint stiffness of the lipped flange have been investigated. The results show that there is a linear coupling relationship between the applied forces and the rotational restraint stiffness of the lipped flange. Based on the explicit expression of the rotational restraint stiffness of the lipped flange, a simplified analytical formula has been derived which can determine the elastic distortional buckling critical stress of the CFLCCs subjected to axial compression. The simplified analytical formula developed in this study has been shown to be accurate through the comparisons with results from the distortional buckling analyses using the ANSYS finite element software. The developed analytical formula is easy to apply, and can be used directly in practical design and incorporated into future design codes and guidelines.

Rotational Stiffness of Connection in Multi-span Vinyl Greenhouse (내재해형 연동 비닐하우스 접합부의 회전강성)

  • Kim, Min-Sun;Choi, Ki-Sun;Shin, Ji-Uk
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.34 no.12
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    • pp.3-10
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    • 2018
  • Recently, severe damage to domestic horticultural structures is frequently observed due to extreme climate effects. To minimize the structures' damage, a study on the structural stability of multi-span vinyl greenhouses is needed. This paper presents to measure the rotational stiffness of different connectors to improve the design capacities of the specification. The paper investigated fourteen types of the different connectors, which was commonly used in the multi-span greenhouses, and three different types of the connectors predicted to be under moment-connection were selected: i) T-clamp, ii) U-clamp, iii) C-clamp. Static loading tests for three different connectors were performed to measure the rotational stiffness. Additionally, the boundary condition for the structural design was proposed based on the experimental results of the rotational stiffness. One of three connectors, C-clamp had larger rotational stiffness than other connectors, and the experimental results presented the three connectors had boundary conditions; i) T-clamp was pinned-connection, ii) U-clamp was semi-rigid connection, iii) C-clamp was semi-rigid connection.

Experiment characterization of the improvement of the rotational stiffness of the double-folded springs for MEMS structures (MEMS용 double-folded 스프링의 회전강성 개선 및 실험 평가)

  • Hwang I.H.;Kim C.I.;Wang S.M.;Lee J.H.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.888-891
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    • 2005
  • Compared to the simple-beam springs, double-folded springs have advantages of the linearity even at the long stroke, so that they have been widely used for optical components such as optical switches and optical attenuators. Until now only the stiffness of the double-folded springs dn the perpendicular direction of the shuttle movement has been considered for the stable operation, however, the rotational stiffness of the splings has not been researched as much. Therefore, this paper suggests the double-folded springs of the maximum rotational stiffness with the constant stiffness in the stroke direction using the reliability based topology optimization (RBTO), whose operation properties were experimentally characterized.

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Effects of Rotational Stiffness of Isolators on Vibration Power Transmission in Vibration Isolation Systems over High Frequency Range (진동 절연계에서 절연요소 회전강성계수가 고주파수 대역 진동파워 전달에 미치는 영향)

  • 김진성;이호정;김광준
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.5
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    • pp.375-383
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    • 2003
  • For a performance analysis of vibration isolation systems, the concept of vibration power flow can be employed preferably when noise radiated from the supporting structure with finite impedances is of interest. The idea is basically simple to understand and formulas for precise estimation of the vibration power are easy to derive. However, It is often required to simplify the process of experimentation under several assumptions due to instrumental limitations. For an example, rotational degree of freedom has not been well treated in bending vibrations of beam or plate-like structures. Yet, several recent studies showed that the moments and rotations play an important role in power transmission and should be taken into consideration carefully as the frequency range of interest goes to audibly high. Therefore, it is readily agreed that reduction of the noise radiation over the high frequency range can be effectively accomplished by adjusting the rotational stiffness of the isolator without changing the vibration isolator efficiency in low frequency range relevant to the translational stiffness of the isolator In this paper, the vibration power flow approach is applied to an AC motor installed on a finite plate in order to illustrate the contribution of the rotational vibration power to the total vibration power transmission. The effects of rotational stiffness of the isolator on the vibration power transmission are investigated by inserting various shapes of Isolators with different rotational stiffness but with $ame translational stiffness between the motor and the plate. The resultant noise radiation from the plate is presented to verify the proposed approach.

Evaluation of the Rotational Stiffness of Connections between Vertical and Horizontal Members for the Highly Reusable System Supports (재사용율이 높은 시스템 동바리의 수직재와 수평재 연결부 회전강성 평가)

  • Ji-Sun Park;Tae-Hyeob Song
    • Journal of the Korean Recycled Construction Resources Institute
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    • v.11 no.4
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    • pp.517-526
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    • 2023
  • To avoid arbitrary design and excessive braces of system supports with high reusability in the field, this study aimed to propose connection conditions for the vertical and horizontal joints of the system supports based on performance evaluation. Disk-type and pocket-type connection materials, widely used in domestic construction sites, were selected for evaluation of rotational stiffness based on load directions(vertical and horizontal) and loading methods (monotonic and cyclic). Contrary to the current design standards specifying a rotational stiffness of "0" for connection materials, the experimental results revealed that, contrary to the current design standards specifying a rotational stiffness of "0" for connection materials, all specimens exhibited rotational stiffness values. The maximum rotational stiffness was observed to be 19.624 kNm/rad in specimens subjected to repeated loading in the vertical direction using disk-type connection materials.

Flexural Strength and Rotational Stiffness Estimation of Joint between Vertical and Horizontal Members in System Support (시스템 동바리 수직재와 수평재 연결부의 휨강도와 회전 강성 평가)

  • Won, Jeong-Hun;Lee, Hyung Do;Choi, Myeong-Ki;Park, Man Cheol
    • Journal of the Korean Society of Safety
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    • v.33 no.4
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    • pp.46-53
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    • 2018
  • This study examined the maximum resistant moment and nonlinear rotational stiffness of wedge joint between the vertical and horizontal members of system supports. To examine the maximum resistant moment and propose the nonlinear rotation stiffness of wedge joint, 6 specimens were tested and additional 3 specimens, where the horizontal member was welded to the vertical member, were tested to compare the moment capacity of wedge joints. The average maximum moment in the tested wedge joint was 1.183 kNm which represented about 70 % of the maximum moment developed in the welded specimens. And, as simulating nonlinear rotational stiffness of the wedge joint, a tri-linear model was suggested. The rotational stiffness was estimated as 23.095 kNm/rad in first stage, 7.945 kNm/rad in second stage, and 3.073 kNm/rad in third stage. For the failure mode, the specimen with the wedge joint showed the failure of joint between vertical and horizontal members. However, the specimen with welded joint represented the yielding of horizontal members.

Static Stiffness Characteristics of Main Spindle Interface using Finite Element Method (유한요소법을 이용한 주축 인터페이스부의 정강성 특성)

  • Hwang, Young-Kug;Chung, Won-Jee;Lee, Choon-Man
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.16 no.1
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    • pp.40-46
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    • 2007
  • High speed machining has become the main issue of metal cutting. Due to increase of the rotational speed of the spindle, problems such as the run-out errors and reduced stiffness must be overcome to improve the machining accuracy. In order to solve the problems, it is important to determine the appropriate clamping unit and tooling system. This paper presents an investigation into an analysis of static stiffness in the main spindle interface. Finite element analysis is performed by using a commercial code ANSYS according to variation of cutting force, clamping force and rotational speed. From the finite element results, it is shown that the rotational speed and clamping force mostly influence on the variation of the static stiffness in the main spindle interface.