• Title/Summary/Keyword: frame theory

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Free vibration and harmonic response of cracked frames using a single variable shear deformation theory

  • Bozyigit, Baran;Yesilce, Yusuf;Wahab, Magd Abdel
    • Structural Engineering and Mechanics
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    • v.74 no.1
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    • pp.33-54
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    • 2020
  • The aim of this study is to calculate natural frequencies and harmonic responses of cracked frames with general boundary conditions by using transfer matrix method (TMM). The TMM is a straightforward technique to obtain harmonic responses and natural frequencies of frame structures as the method is based on constructing a relationship between state vectors of two ends of structure by a chain multiplication procedure. A single variable shear deformation theory (SVSDT) is applied, as well as, Timoshenko beam theory (TBT) and Euler-Bernoulli beam theory (EBT) for comparison purposes. Firstly, free vibration analysis of intact and cracked frames are performed for different crack ratios using TMM. The crack is modelled by means of a linear rotational spring that divides frame members into segments. The results are verified by experimental data and finite element method (FEM) solutions. The harmonic response curves that represent resonant and anti-resonant frequencies directly are plotted for various crack lengths. It is seen that the TMM can be used effectively for harmonic response analysis of cracked frames as well as natural frequencies calculation. The results imply that the SVSDT is an efficient alternative for investigation of cracked frame vibrations especially with thick frame members. Moreover, EBT results can easily be obtained by ignoring shear deformation related terms from governing equation of motion of SVSDT.

Dynamic stiffness formulations for harmonic response of infilled frames

  • Bozyigit, Baran;Yesilcea, Yusuf
    • Structural Engineering and Mechanics
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    • v.68 no.2
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    • pp.183-191
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    • 2018
  • In this paper, harmonic responses of infilled multi-storey frames are obtained by using a single variable shear deformation theory (SVSDT) and dynamic stiffness formulations. Two different planar frame models are used which are fully infilled and soft storey. The infill walls are modeled by using equivalent diagonal strut approach. Firstly, free vibration analyses of bare frame and infilled frames are performed. The calculated natural frequencies are tabulated with finite element solution results. Then, harmonic response curves (HRCs) of frame models are plotted for different infill wall thickness values. All of the results are presented comparatively with Timoshenko beam theory results to reveal the effectiveness of SVSDT which considers the parabolic shear stress distribution along the frame member cross-sections.

Development of Experimental Equation of Hood Frame for Vehicle Considering Operating Angle (작동각을 고려한 차량 후드 프레임의 실험식 개발)

  • Song, Yo-Sun;Hur, Kwan-Do;Son, In-Soo
    • Journal of Power System Engineering
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    • v.20 no.3
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    • pp.57-63
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    • 2016
  • This paper presents the experimental result and theoretical analysis result to investigate the correlation between the operating force, angle and locking torque for vehicle hood frame. Also, we derived the experimental equation that using the results for experiment and theory. The hood frame is switching-devices used for opening and closing the vehicle hood. It needs the correlation data between locking torques of each joint, operating force and angle of hood frame. The correlation data for torque and reaction force of hood frame obtained through experiment and theory analysis. Finally, the experimental equation of the locking torque prediction for the hood frame is derived.

Investigation of natural frequencies of multi-bay and multi-storey frames using a single variable shear deformation theory

  • Bozyigit, Baran;Yesilce, Yusuf
    • Structural Engineering and Mechanics
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    • v.65 no.1
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    • pp.9-17
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    • 2018
  • This study concerns about calculating exact natural frequencies of frames using a single variable shear deformation theory (SVSDT) which considers the parabolic shear stress distribution across the cross section. Free vibration analyses are performed for multi-bay, multi-storey and multi-bay multi-storey type frame structures. Dynamic stiffness formulations are derived and used to obtain first five natural frequencies of frames. Different beam and column cross sections are considered to reveal their effects on free vibration analysis. The calculated natural frequencies are tabulated with the results obtained using Euler-Bernoulli Beam Theory (EBT) and Timoshenko Beam Theory (TBT). Moreover, the effects of inner and outer columns on natural frequencies are compared for multi-bay frames. Several mode shapes are plotted.

Parametric 3D elastic solutions of beams involved in frame structures

  • Bordeu, Felipe;Ghnatios, Chady;Boulze, Daniel;Carles, Beatrice;Sireude, Damien;Leygue, Adrien;Chinesta, Francisco
    • Advances in aircraft and spacecraft science
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    • v.2 no.3
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    • pp.233-248
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    • 2015
  • Frame structures have been traditionally represented as an assembling of components, these last described within the beam theory framework. In the case of frames involving complex components in which classical beam theory could fail, 3D descriptions seem the only valid route for performing accurate enough analyses. In this work we propose a framework for frame structure analyses that proceeds by assembling the condensed parametric rigidity matrices associated with the elementary beams composing the beams involved in the frame structure. This approach allows a macroscopic analysis in which only the condensed degrees of freedom at the elementary beams interfaces are considered, while fine 3D parametric descriptions are retained for local analyses.

Finite Element Analysis Piezocone Test I (피에조콘 시험의 유한요소 해석 I)

  • 김대규
    • Journal of the Korean Geotechnical Society
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    • v.16 no.4
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    • pp.183-190
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    • 2000
  • In this research, the finite element analysis of piezocone penetration and dissipation tests have been conducted using the anisotropic elastoplastic-viscoplastic bounding surface model in the Updated Lagrangian reference frame for the large deformation and finite strain nu\ature of piezocone penetration. Accordingly, virtual work equation and corresponding finite element equations have been reformulated. Theory of mixtures has been incorporated to explain the behavior of the sol. It has been observed that the viscoplastic part of the soil model affected the whole formulation. The results of the finite element analysis have been compared and investigated with the experimental results. The formulations and the results are described in part 'I' and part 'II', respectively.

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Design Analysis and Derivation of Experimental Equations of Hood Frame for Vehicle (차량 후드 작동용 프레임의 설계해석 및 실험식 유도)

  • Son, In-Soo;Ahn, Sung-Jin;Eom, Hyeon-Soo;Son, Jung-Ho;Song, Yo-Sun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.3
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    • pp.258-264
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    • 2016
  • This paper presents the experimental result and theoretical analysis result to investigate the correlation between the operating force and locking torque for vehicle hood frame. Also, we derived the experimental equations that using the results of experiment and theory. The hood frame is switching-devices used for opening and closing the vehicle hood. It needs the correlation data between locking torques of each joint and operating force of hood frame because the parameters affects the emotional quality of the vehicle. The correlation data for torque and force of hood frame obtained through experiment and theory analysis. Finally, two experimental equations of correlation are derived. Thus, the developed equations show that has high usefulness for the basic design of hood frame of vehicle.

Semantics for Default Rules

  • Yeom, Jae-Il
    • Language and Information
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    • v.4 no.2
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    • pp.69-92
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    • 2000
  • It is well-known that default rules require a nonmonotonic logic. Veltman proposed one dynamic theory which interprets default rules in such a way that correct inferences can be made at each information state. But his theory has some problems. First, this theory excludes the possibility that a default rule can be true of false. Second, his representation of an information state makes it difficult to interpret a default rule embedded in another sentence. Third, the notion of a frame which is introduced in the interpretation of a default rule and the adjustment of inferential expectation has a more complex structure than is necessary, In this paper, I propose a truth-conditional theory of default rules in which the meaning of a default rule is defined as a truth-condition in a possible world and which assumes a simpler structure of a frame. This makes it possible to interpret a default rule embedded in a sentence. A dynamic theory for default rules is also proposed for correct inferences based on default rules.

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Yang Shangsan's contribution to the theory frame of traditional Chinese medicine (양상선대중의이론체계광가형성적공헌(杨上善对中医理论体系框架形成的贡献))

  • Qian, Huinan
    • Journal of Korean Medical classics
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    • v.26 no.4
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    • pp.191-194
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    • 2013
  • This paper discusses Mr. Yang Shangsan's contribution to the theory frame of traditional Chinese medicine. He advocated initially the classification of Huangdi Neijing, which took preliminary shape of TCM theoretical rudiment. His Huangdi Neijing Taisu drew the outline of the TCM theoretical system framework and had a profound historical significance.

Identification of Torque Characteristics in Capacitor Type Electric Motors and Reduction of Its Fluctuation Components (축전기형 전동기의 토크에 대한 특성분석 및 그 변동성분의 감소를 위한 연구)

  • 고홍석;신성수;김광준
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.4
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    • pp.826-834
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    • 1994
  • The purpose of this study is to identify torque characteristics in capacitor type electric motors and to illustrate the effects of several design parameters on the fluctuating components of the motor torque. To do this, two revolving field theory and stationary reference frame theory were applied to derive governing equations for the torque generated by motor. For simulation studies, parameters of the motor components were measured under the conditions of no loading and locking. Based on these, effects of several design variables on the torque characteristics were analyzed and compared with the actual measurements, which were estimated indirectly by measuring the stator voltage and current. Then, some illustrative improvements in design are suggested by taking Taguchi method.