• Title/Summary/Keyword: Linear codes

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Moment redistribution of RC continuous beams: Re-examination of code provisions

  • Da Luo;Zhongwen Zhang;Bing Li
    • Structural Engineering and Mechanics
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    • v.85 no.5
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    • pp.679-691
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    • 2023
  • Many codes allow designers to use the bending moment diagram computed by elastic analysis and modify it by a certain amount of moment redistribution (MR) to account for plastic behaviour of continuous beams. However, several researchers indicated that the MR at the ultimate limit state (𝛽u) for some beams deviate significantly from the specified values of various codes. This paper examines the applicability of the provisions on 𝛽u in ACI 318-19 and Eurocode 2 through numerical investigations and comprehensively explores the influencing factors. The results show that some parameters not considered in those codes influence 𝛽u to a certain extent, where the ratio of tensile reinforcement ratio at intermediate support to tensile reinforcement ratio at midspan (𝜌s1/𝜌s2) and load type are crucial parameters to consider. The specific combination of these two parameters may make the codes overestimate or significantly underestimate the 𝛽u. On the other hand, the yield state of both critical sections is found to have an important influence on the influence degree of each parameter on 𝛽u. The yield conditions are investigated, and an empirical judgment equation is proposed. In addition, the influence laws of the critical parameters on 𝛽u have been further proved by theoretical derivation. Finally, due to 𝜀t is found to have a better linear correlation with 𝛽u than xu/d, equations as a function of 𝜀t for predicting the 𝛽u of continuous beams under the two loads are proposed, respectively.

Nonlinear Seismic Behavior Analysis of Skewed Bridges Considering Pounding Between Deck and Abutment (상판과 교대의 충돌을 고려한 사교의 비선형 지진거동 해석)

  • Kang, Seung Woo;Choi, Kwang Kyu;Song, Si Young;Son, Min Kyu
    • Journal of the Earthquake Engineering Society of Korea
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    • v.20 no.5
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    • pp.301-310
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    • 2016
  • There are differences in seismic behavior between non-skewed bridges and skewed bridges due to in-plane rotations caused by pounding between the skewed deck and its abutments during strong earthquake. Many advances have been made in developing design codes and guidelines for dynamic analyses of non-skewed bridges. However, there remain significant uncertainties with regard to the structural response of skewed bridges caused by unusual seismic response characteristics. The purpose of this study is performing non-linear time history analysis of the bridges using abutment-soil interaction model considering pounding between the skewed deck and its abutments, and analyzing global seismic behavior characteristics of the skewed bridges to assess the possibility of unseating. Refined bridge model with abutment back fill, shear key and elastomeric bearing was developed using non-linear spring element. In order to evaluate the amplification of longitudinal and transverse displacement response, non-linear time history analysis was performed for single span bridges. Far-fault and near-fault ground motions were used as input ground motions. According to each parameter, seismic behavior of skewed bridges was evaluated.

PN Sequence Generation from 2-D Array of Shift Registers

  • Kim, Hyun-Jung;Lee, In-Kyu;Kim, Woon-Kyung M.
    • ETRI Journal
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    • v.27 no.3
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    • pp.273-279
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    • 2005
  • Toward code division multiple access (CDMA) communications and data protection, we propose and analyze pseudorandom noise (PN) sequences generated from a 2-dimensional array structure of shift-registers. For any positive integers m and n, we construct PN sequences of period $2^{mm}-1$ using an $m{\times}n$ array of registers and show that we can generate all shifted PN sequences as required by IS-95x with the proper linear combination of available sequences.

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THE t-WISE INTERSECTION OF RELATIVE THREE-WEIGHT CODES

  • Li, Xin;Liu, Zihui
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1095-1110
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    • 2017
  • The t-wise intersection is a useful property of a linear code due to its many applications. Recently, the second author determined the t-wise intersection of a relative two-weight code. By using this result and generalizing the finite projective geometry method, we will present the t-wise intersection of a relative three-weight code and its applications in this paper.

A Method to Reduce Reinforcements Embedded in Coping of Concrete Piers (콘크리트교각 코핑부 철근배근량 저감방안)

  • Park, Sung-Hyun;Cho, Jae-Yeol;Kim, Young-Joon
    • Proceedings of the Korea Concrete Institute Conference
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    • 2009.05a
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    • pp.121-122
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    • 2009
  • Currently, the design methods for coping of concrete piers predict over-reinforcements. In this study comparison and analysis of internal and external design codes is performed. Non-linear analysis using FEA and strut-tie model was done to reduce reinforcements embedded in coping of concrete piers.

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PAPR Reduction Method for the Nonlinear Distortion in the Multicode CDMA System (멀티코드 CDMA 시스템에서 비선형 왜곡에 대처하는 PAPR 저감 기법)

  • Kim Sang-Woo;Kim Namil;Kim Sun-Ae;Suh Jae-Won;Ryu Heung-Cyoon
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.12 s.103
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    • pp.1171-1178
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    • 2005
  • Multi-code code division multiple access(MC-CDMA) has been proposed for providing the various service rates with different quality of service requirement by assigning multiple codes and increasing the capacity. However, it suffers from the serious problem of high peak to average power ratio(PAPR). So, it requires large input back-off, which causes poor power consumption in high power amplifier(HPA). In this paper, we propose a new method that can reduce PAPR efficiently by constraint codes based on the opposite correlation to the incoming information data in MC-CDMA. PAPR reduction depends on the length and indices of constraint codes in MC-CDMA system. There is a trade-off between PAPR reduction and the length of constraint codes. From the simulation results, we also investigate the BER improvement in AWGN channel with HPA. The simulation results show that BER performance can be similar with linear amplifier in two cases: 1) Using exact constraint codes without input back-off and 2) a few constraint codes with small input back-off.

A numerical method for the limit analysis of masonry structures

  • Degl'Innocenti, Silvia;Padovani, Cristina
    • Structural Engineering and Mechanics
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    • v.18 no.1
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    • pp.1-20
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    • 2004
  • The paper presents a numerical method for the limit analysis of structures made of a rigid no-tension material. Firstly, we formulate the constrained minimum problem resulting from the application of the kinematic theorem, which characterizes the collapse multiplier as the minimum of all kinematically admissible multipliers. Subsequently, by using the finite element method, we derive the corresponding discrete minimum problem in which the objective function is linear and the inequality constraints are linear as well as quadratic. The method is then applied to some examples for which the collapse multiplier and a collapse mechanism are explicitly known. Lastly, the solution to the minimum problem calculated via numerical codes for quadratic programming problems, is compared to the exact solution.

Development and comparative study of high-performance direct solvers for computational structural mechanics (전산구조해석을 위한 고성능 직접적 연립방정식 해법의 개발 및 비교 연구)

  • 우성운;김정호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.10a
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    • pp.387-394
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    • 2004
  • In the structural analysis procedure using finite element technique, the performance of a linear equation solver is critical because the linear equation solving part spends most of the computing time for finite element analysis codes. However, most of researchers are still using inefficient profile-based direct solvers such as the band solver or the skyline solver. In this research, we introduce the multifrontal solution method as an efficient direct solution method for structural analysis, and show the efficiency and performance of the multifrontal solution method by comparing the performance of our own implementation of the multifrontal method with the band solver or the skyline solver. In addition, we also compare the performance of our solver with other implementations of the multifrontal method such as WSMP and MUMPS as well as commercial structural analysis packages such as ABAQUS and NASTRAN. Through the performance test results, the usefulness and efficiency of our domain-wise multifrontal solver for structural analysis is shown.

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The Application of a Nonlinear Direct Spectrum Method for Mixed Building Structure (복합구조물에 대한 비선형 직접스펙트럼법의 적용)

  • 강병두;박진화;전대한;김재웅
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.09a
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    • pp.258-265
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    • 2002
  • Most structures are expected deform nonlinear and inelastic behavior when subjected to strong ground motion. Nonlinear time history analysis(NTHA) is the most rigorous procedure to compute seismic performance in the various inelastic analysis methods. But nonlinear analysis procedures necessitate more reliable and practical tools for predicting seismic behavior of structures. Some building codes propose the capacity spectrum method. This method is the concept of an equivalent linear system, wherein a linear system having reduced stiffness and increased damping is used to estimate the response of the nonlinear system. This procedure are conceptually simple, but the iterative procedure is time-consuming and may sometimes lead to no solution or multiple solutions. This paper presents a nonlinear direct spectrum method(NDSM) to evaluate seismic performance of structures, without iterative computations, given by the structural initial elastic period and yield strength from the pushover analysis, especially for mixed building structure.

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ON THE MINIMUM LENGTH OF SOME LINEAR CODES OF DIMENSION 6

  • Cheon, Eun-Ju;Kato, Takao
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.419-425
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    • 2008
  • For $q^5-q^3-q^2-q+1{\leq}d{\leq}q^5-q^3-q^2$, we prove the non-existence of a $[g_q(6,d),6,d]_q$ code and we give a $[g_q(6,d)+1,6,d]_q$ code by constructing appropriate 0-cycle in the projective space, where $g_q (k,d)={{\sum}^{k-1}_{i=0}}{\lceil}\frac{d}{q^i}{\rceil}$. Consequently, we have the minimum length $n_q(6,d)=g_q(6,d)+1\;for\;q^5-q^3-q^2-q+1{\leq}d{\leq}q^5-q^3-q^2\;and\;q{\geq}3$.