• Title/Summary/Keyword: moment equations

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Assessing the ductility of moment frames utilizing genetic algorithm and artificial neural networks

  • Mazloom, Moosa;Afkar, Hossein;Pourhaji, Pardis
    • Structural Monitoring and Maintenance
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    • v.5 no.4
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    • pp.445-461
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    • 2018
  • The aim of this research is to evaluate the effects of the number of spans, height of spans, number of floors, height of floors, column to beam moment of inertia ratio, and plastic joints distance of beams from columns on the ductility of moment frames. For the facility in controlling the ductility of the frames, this paper offers a simple relation instead of complex equations of different codes. For this purpose, 500 analyzed and designed frames were randomly selected, and their ductility was calculated by the use of nonlinear static analysis. The results cleared that the column-to-beam moment of inertia ratio had the highest effect on ductility, and if this relation was more than 2.8, there would be no need for using the complex relations of codes for controlling the ductility of frames. Finally, the ductility of the most frames of this research could be estimated by using the combination of genetic algorithm and artificial neural networks properly.

Soft story retrofit of low-rise braced buildings by equivalent moment-resisting frames

  • Ebadi, Parviz;Maghsoudi, Ahmad;Mohamady, Hessam
    • Structural Engineering and Mechanics
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    • v.68 no.5
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    • pp.621-632
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    • 2018
  • Soft-story buildings have bottom stories much less rigid than the top stories and are susceptible to earthquake damage. Therefore, the seismic design specifications need strict design considerations in such cases. In this paper, a four-story building was investigated as a case study and the effects of X-braces elimination in its lower stories studied. In addition, the possibility of replacement of the X-braces in soft-stories with equivalent moment resisting frame inspected in two different phases. In first phase, the stiffness of X-braces and equivalent moment-resisting frames evaluated using classic equations. In final phase, diagonals removed from the lowest story to develop a soft-story and replaced with moment resisting frames. Then, the seismic stiffness variation of moment-resisting frame evaluated using nonlinear static and dynamic analyses. The results show that substitution of braced frames with an equivalent moment-resisting frame of the same stiffness increases story drift and reduces energy absorption capacity. However, it is enough to consider the needs of building codes, even using equivalent moment resisting frame instead of X-Braces, to avoid soft-story stiffness irregularity in seismic design of buildings. Besides, soft-story development in the second story may be more critical under strong ground excitations, because of interaction of adjacent stories.

Biodynamic Characteristics of Korean Male in Twenties-Mass, Center of Mass and Moment of Inertia Characteristics of Body Segments (한국인 20대 청년 인체분절의 관성특성에 관한 연구)

  • 이영신;임현균;김철중
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.8
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    • pp.1952-1966
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    • 1994
  • The body segment parameters of twelve young male Korean were measured to compare with the results of foreign cadaver studies. A human body was assumed to have fourteen body segments. The mass of each segment was measured with a water immersion test and the mass center of a segment was determined on the balance platform by changing postures. In the case of Korean, because of the difference in body proportion, the mass center of whole-body is located further from the distal end of head(Korean : 44.9% vs. Caucasian : 41.2%), and the mass center of each segment also located in different proportional locations. The existing regression equations, which can estimate segment mass based upon the anthropometric dimensions, estimates segment mass (the mass of shank) for Korean with 13% error. Therefore, it is not recommended to estimate the mass, and the moment of inertia of body segment of Korean based on the existing equations. However, the density information of body constituents was similar enough to apply it to Korean density. It was validated by the comparison between the results of the direct immersion method and 3-dimensional volume reconstruction of segment form the cross sectional images of CT-scan. The average body density measured form twelve subjects was $1.035{\;}kg/m^3$ and showed deceasing trendency.

Vibration Analysis of 5-DOF Rotor System Supported by Two or More Ball Bearings Considering Centrifugal Force and Gyroscopic Moment of Ball (Waviness가 존재하며 볼의 원심력과 자이로스코픽 모멘트가 작용하는 볼베어링으로 지지된 5 자유도 회전계의 진동해석)

  • 정성원;장건희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11a
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    • pp.297-303
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    • 2001
  • This research presents an analytical model to characterize the ball bearing vibration due to the waviness in a rigid rotor supported by multi-row ball bearings considering centrifugal force and gyroscopic moment of ball. The effects of centrifugal force and gyroscopic moment are introduced to the kinematic constraints and force equilibrium equations. The waviness of ball and races is modeled by the superposition of sinusoidal function and it is introduced to position vectors of race curvature center to use the Hertzian contact theory in order to calculate the elastic deflection and nonlinear contact force resulting from the waviness while the rotor has translational and angular motion. They can be determined by solving the nonlinear equations of motion with five degrees of freedom by using the Runge-Kutta-Fehlberg algorithm. The accuracy of this research is validated by comparing with the results of the prior researches. It characterizes the vibration frequencies resulting from the various kinds of waviness in rolling elements, the harmonic frequencies resulting from the nonlinear load-deflection characteristics of ball bearing resulting from the waviness interaction.

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Predicting the seismic behavior of torsionally-unbalanced RC building using resistance eccentricity

  • Abegaz, Ruth A.;Kim, In-Ho;Lee, Han Seon
    • Structural Engineering and Mechanics
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    • v.83 no.1
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    • pp.1-17
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    • 2022
  • The static design approach in the current code implies that the inherent torsional moment represents the state of zero inertial torsional moments at the center of mass (CM). However, both experimental and analytical results prove the existence of a large amount of the inertial torsional moment at the CM. Also, the definition of eccentricity by engineers, which is referred to as the resistance eccentricity, is defined as the distance between the center of mass and the center of resistance, which is conceptually different from the static eccentricity in the current codes, defined as the arm length about the center of rotation. The difference in the definitions of eccentricity should be made clear to avoid confusion about the torsion design. This study proposed prediction equations as a function of resistance eccentricity based on a resistance eccentricity model with advantages of (1) the recognition of the existence of torsional moment at the CM, (2) the avoidance of the confusion by using resistance eccentricity instead of the design eccentricity, and (3) a clear relationship of applied inertial forces at the CM and resisting forces. These predictions are compared with the seismic responses obtained from time-history analyses of a five-story building structure under moderate and severe earthquakes. Then, the trend of the resistance eccentricity corresponding to the maximum edge drift is investigated for elastic and inelastic responses. The comparison given in this study shows that these prediction equations can serve as a useful reference for the prediction in both the elastic and the inelastic ranges.

Semi analytical solutions for flexural-torsional buckling of thin-walled cantilever beams with doubly symmetric cross-sections

  • Gilbert Xiao;Silky Ho;John P. Papangelis
    • Structural Engineering and Mechanics
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    • v.87 no.6
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    • pp.541-554
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    • 2023
  • An unbraced cantilever beam subjected to loads which cause bending about the major axis may buckle in a flexuraltorsional mode by deflecting laterally and twisting. For the efficient design of these structures, design engineers require a simple accurate equation for the elastic flexural-torsional buckling load. Existing solutions for the flexural-torsional buckling of cantilever beams have mainly been derived by numerical methods which are tedious to implement. In this research, an attempt is made to derive a theoretical equation by the energy method using different buckled shapes. However, the results of a finite element flexural-torsional buckling analysis reveal that the buckled shapes for the lateral deflection and twist rotation are different for cantilever beams. In particular, the buckled shape for the twist rotation also varies with the section size. In light of these findings, the finite element flexural-torsional buckling analysis was then used to derive simple accurate equations for the elastic buckling load and moment for cantilever beams subjected to end point load, uniformly distributed load and end moment. The results are compared with previous research and it was found that the equations derived in this study are accurate and simple to use.

Performance Analysis of High-Speed Ceramic Ball Bearings Under Thrust Loads in EHD Lubrication (축방향 하중을 받는 고속 세라믹 볼베어링에 대한 EHD 윤활영역에서의 성능 해석)

  • 반종억;김경웅
    • Tribology and Lubricants
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    • v.14 no.2
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    • pp.26-34
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    • 1998
  • This paper presents a high-speed performance analysis of ball bearings with ceramic balls under thrust loads. The sliding velocity profiles between a ball and raceways were obtained by the 3-D quasi-dynamic equations of motion including both centrifugal force and gyroscopic moment derived by vector matrix algebra. The friction at the contact areas was obtained by the Bair-Winer's non-Newtonian rheological model and the Hamrock-Dowson's central film thickness in EHL analysis. The nonlinear equations were solved by the Newton-Raphson method and the underrelaxation iterative method. The friction torques and ball behaviors with various loads, ball materials, and contact angles were predicted by this model. It was shown that the friction torque was sensitive to thrust load and contact angle, and that the friction torque and the pitch angle of the bearing with ceramic balls are smaller than those of the bearing with steel balls.

3 DOFs bridge-vessel collision model considering with rotation behaviors of the vessel (선박의 회전거동을 고려한 3자유도 충돌모델)

  • Lee, Gye-Hee;Lee, Seong-Lo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.380-385
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    • 2008
  • 3 DOFs model for the collision analysis of a bridge super-structure and a super-structure of the navigating vessels were proposed and analyzed. The collision event between the super-structure of vessel and the super-structure of bridge are different from the normal collision event that collided at sub-structure of bridge. Because of its moment arm, the stability force of vessel could affect to the collision behaviors. To consider this effect, 3 DOFs model including two translation DOFs and one rotational DOF were introduced. The restoration forces of the collision system were considered as nonlinear springs. The equations of motion were derived if form of differential equations and numerically solved by 4th order Runge-Kutta method. The accuracy and the feasibility of this model were verified by the numerical example with parameter of moment arm length.

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Partitioning Tracer Analysis with Temporal Moments Equations (시간 모멘트식을 이용한 상분할추적자의 해석)

  • Cho, Jong-Soo
    • Journal of Soil and Groundwater Environment
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    • v.16 no.3
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    • pp.3-9
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    • 2011
  • Partitioning tracers have been used with non-partitioning, inert tracer such Br, for detection, estimation, and monitoring of remediation performance of the subsurface contaminated with nonaqueous phase liquids (NAPLs). Various partitioning tracers with different partition coefficients between aqueous and nonaqueous phase liquids can be used to determine the hydraulic conductivity, dispersivity, and residual mass of NAPLs in the subsurface soil matrices. Temporal moment-generating equations were used to analyze the field pilot-scale test results. The pilot-scale tests included conservative tracer tests and partitioning tracer tests. Analyses of nonaqueous phase liquid distribution and characteristics of groundwater bearing soil media were performed.

A Practical Estimation of Static Stability of a Hovercraft

  • Park, Sun-Ho;Heo, Jae-Kyung;Yu, Byeong-Seok
    • Journal of Ship and Ocean Technology
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    • v.10 no.3
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    • pp.27-35
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    • 2006
  • The static stability of a high-speed hovercraft is estimated by model tests, simplified restoring moment equations and CFD. Well-known methods to increase the stability of hovercrafts are introduced. Roll and pitch moments of a scaled model with a skirt system are measured over inclination angles. The tests are performed on cushion at zero speed both on-land and over-water. To predict the static stability performance, simple restoring moment equations and CFD approach are introduced. Both shows a quantitative difference from the model test results, however, could be used as a design tool for relative comparison prior to model tests.