• Title/Summary/Keyword: modal stress distribution

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Benchmark Modal Stress-Resultant Distributions for Vibrating Rectangular Plates with Two Opposite Edges Free

  • Y. Xiang;Wang, C.M.;T. Utsunomiya;C. Machimdamrong
    • Computational Structural Engineering : An International Journal
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    • v.1 no.1
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    • pp.49-57
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    • 2001
  • This paper presents exact solutions for the modal stress-resultant distributions for vibrating rectangular Mindlin plates involving two opposite sides simply supported while the other two sides free. These exact stress-resultants of vibrating plates with free edges, hitherto unavailable, are very important because they serve as benchmark solutions for checking numerical solutions and methods. Using the exact solutions of a square plate, this paper highlights the problem of determining accurate stress-resultants, especially the transverse shear forces and twisting moments in thin plates, when employing the widely used numerical methods such as the Ritz method and the finite element method. Thus, this study shows that there is a need for researchers to develop refinements to the Ritz method and the finite element method for determining very accurate stress-resultants in vibrating plates with free edges.

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Shape Optimization of a Rotating Cantilever Beam Considering Its Modal and Stress Characteristics (회전 외팔보의 진동 및 응력 특성을 고려한 형상 최적화)

  • Yun, Yeong-Hun;Yu, Hong-Hui
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.4
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    • pp.645-653
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    • 2001
  • It is well known that natural frequencies increase when a cantilever beam rotates about the axis perpendicular to its longitudinal axis. Such phenomena that are caused by centrifugal inertia forces are often referred to as the stiffening effects. Occasionally it is necessary to control the variation of a natural frequency or the maximum stress of a rotating beam. By changing the thickness of the rotating beam, the modal or the stress characteristics can be changed. The thickness of the rotating beam is assumed to be a cubic spline function in the present work. An optimization method is employed to find the optimal thickness shape of the rotating beam. This method can be utilized for the design of rotating structures such as turbine blades and aircraft rotary wings.

Free Vibration Analysis of Perforated Plates Using Equivalent Elastic Properties

  • Park, Suhn;Jeong, Kyeong-Hoon;Kim, Tae-Wan;Kim, Kang-Soo;Park, Keun-Bae
    • Nuclear Engineering and Technology
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    • v.30 no.5
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    • pp.416-423
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    • 1998
  • Many studies for the perforated plates have been done, especially on the subject of static behavior and stress distribution in the plate. Equivalent elastic properties are one of the successive concepts for this problem. However little effort was taken to get their dynamic characteristics. In this paper finite element modal analysis was performed for the perforated plates having square and triangular hole patterns. An attempt to use existing equivalent elastic properties into the modal analysis of the plate was carried out. To verify feasibility of the finite element models, modal test was also performed on one typical perforated plate. System parameters such as natural frequencies and mode shapes were extracted and compared with the analysis results.

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A Study on the Characteristic Analysis of a Tilting Index Table for Machine Tools (공작기계 틸팅 인덱스 테이블의 특성 해석에 관한 연구)

  • Choi, Chi-Hyuk;Lee, Choon-Man
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.10 no.3
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    • pp.7-12
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    • 2011
  • In the recent field of 5-axis machine tools, it is necessary to improve machining ability. The tilting index table is a key unit in order to manufacture some non-rotational and 3-dimensional parts by using conventional machining centers. In this study, the structural analysis of a tilting index table is carried out and the displacement and distribution of stress in the tilting index table is analysed to design the table safely. The modal analysis is performed in order to confirm the frequency response about the vibration having a large effect on the machine tools. The dynamic analysis is performed in order to confirm the rigidity, and the structural stability has been verified.

A Study on the Dynamic Stability of Heavy Press Considering Rotational Speed (회전 속도를 고려한 대형 프레스의 동적 안정성에 관한 연구)

  • Shin, Min Jae;Kim, Chae Sil;Keum, Chang Min;Kim, Jae Min
    • Journal of the Korean Society for Precision Engineering
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    • v.33 no.8
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    • pp.623-628
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    • 2016
  • This article describes the determination of the dynamic stability for a heavy press, particularly considering rotational speed. A finite element model of the driving parts for the heavy press was generated. We also applied boundary conditions and dynamic loads considering the driving conditions. Modal analysis was conducted using the finite element construction model. Therefore, no resonance was identified with the comparison between the results of the modal analysis and vibration excitation frequency by the gear tooth. In addition, the stress distribution of the driving parts for press was determined using transient analysis. As compared to the yield strength of the material, the dynamic stability the heavy press was confirmed.

The Stress Analysis of the Cross Beam of the Electric Car-body according to the Change of Location and Shape of Circular Hole (원공 위치와 형상 변화에 따른 전동차 크로스 빔의 강도해석)

  • Jeon, Hyung-Yong;Sung, Rak-Won;Han, Geun-Jo
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.9
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    • pp.9-17
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    • 1999
  • This investigation is the result of the structural analysis by finite element method for optimal design of the cross beam with circular holes of the electric car-body. in order to install the air pipe and electric wire pipe that correspond signal between electric machines for the control system and to reduce the weight of the electric car-body, several circular areas from a cross beam should be taken off. What we want to perform is the optimal design of a cross beam with circular holes to posses equal stress in comparison with no hole cross beam. first, no hole cross beam as basic modal be chosen, executing the analysis, reviewing the distribution of stress and displacement at each location. several parameter should be adopted from the cross beam geometry like the location and shape of the hole to affect the maximum stress and displacement. So the analysis was executed by finite element analysis for finding optimal design parameter to the change of the location and shape of the circular hole. finally, the optimal design of the cross beam with circular holes was obtained and the maximum equivalent stress was compared with no hole cross beam at each location.

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Seismic Qualification Analysis of a Vertical-Axis Wind Turbine (소형 수직축 풍력발전기의 내진검증 해석)

  • Choi, Young-Hyu;Hong, Min-Gi
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.15 no.3
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    • pp.21-27
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    • 2016
  • The static and dynamic structural integrity qualification was performed through the seismic analysis of a small-size Savonius-type vertical wind turbine at dead weight plus wind load and seismic loads. The ANSYS finite element program was used to develop the FEM model of the wind turbine and to accomplish static, modal, and dynamic frequency response analyses. The stress of the wind turbine structure for each wind load and dead weight was calculated and combined by taking the square root of the sum of the squares (SRSS) to obtain static stresses. Seismic response spectrum analysis was also carried out in the horizontal (X and Y) and vertical (Z) directions to determine the response stress distribution for the required response spectrum (RRS) at safe-shutdown earthquake with a 5% damping (SSE-5%) condition. The stress resulting from the seismic analysis in each of the three directions was combined with the SRSS to yield dynamic stresses. These static and dynamic stresses were summed by using the same SRSS. Finally, this total stress was compared with the allowable stress design, which was calculated based on the requirements of the KBC 2009, KS C IEC 61400-1, and KS C IEC 61400-2 codes.

Finite Element Analysis of Statics and Natural Characteristic of Vibrating Screen (진동스크린의 정적 및 고유특성 유한요소해석)

  • Hong, Seok-Beom;Kwon, Hyuk-Hong
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.22 no.5
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    • pp.886-893
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    • 2013
  • A vibrating screen with multiple decks is widely employed for the process separation of many valuable export commodities. In this study, the inclination angle of the deck of the vibrating screen and the direction angle of the screen's vibration under single particle kinematics were predicted. A finite element model of the vibrating screen was established by parameterization modeling. Through modal analysis and static analysis of the model, the natural frequency, natural vibration mode, and stress distribution of the structure were determined, based on which the dynamics and design optimization of the vibrating screen could be achieved. Future plans also reflect this by conducting detailed design of vibrating screens for the manufacturing plans of vibrating screen machine.

Analytical solutions to piezoelectric bimorphs based on improved FSDT beam model

  • Zhou, Yan-Guo;Chen, Yun-Min;Ding, Hao-Jiang
    • Smart Structures and Systems
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    • v.1 no.3
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    • pp.309-324
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    • 2005
  • This paper presents an efficient and accurate coupled beam model for piezoelectric bimorphs based on improved first-order shear deformation theory (FSDT). The model combines the equivalent single layer approach for the mechanical displacements and a layerwise modeling for the electric potential. General electric field function is proposed to reasonably approximate the through-the-thickness distribution of the applied and induced electric potentials. Layerwise defined shear correction factor (k) accounting for nonlinear shear strain distribution is introduced into both the shear stress resultant and the electric displacement integration. Analytical solutions for free vibrations and forced response under electromechanical loads are obtained for the simply supported piezoelectric bimorphs with series or parallel arrangement, and the numerical results for various length-to-thickness ratios are compared with the exact two-dimensional piezoelasticity solution. Excellent predictions with low error estimates of local and global responses as well as the modal frequencies are observed.

A study on the three dimensional turbulent flow analysis of wake flow behind rotating blade row between hub and midspan (허브와 중앙스팬 사이의 회전익 후류 3차원 난류유동해석에 관한 연구)

  • No, Su-Hyeok;Jo, Gang-Rae
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.7
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    • pp.911-918
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    • 1997
  • The turbulent viscous wake flows behind a single airfoil, two-dimensional stationary blade row and three-dimensional rotating blade row were calculated, and the numerical results were compared with experimental ones. The numerical technique was based on the SIMPLE algorithm using three turbulent closure models, standard k-.epsilon. model(WFM), low Reynolds number k-.epsilon. model(LRN) and Reynolds stress model (RSM). In the case of a single airfoil, WFM, LRN and RSM presented fairly good velocity distributions in the wake compared with experimental data. In the case of the stationary blade row, LRN and RSM presented better results than WFM for wake velocity distribution, and especially LRN showed best results among these three turbulent models. In the case of the rotating blade row, WFM and LRN showed fairly good agreement with experimental data of the three-dimensional velocity component distributions in the range from hub to mid span region. LRN was also superior to WFM in accuracy of prediction for the wake velocity distribution as same with the cases of a airfoil and the stationary blade row.