• Title/Summary/Keyword: Root Sum of Squares

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Structural response analysis in time and frequency domain considering both ductility and strain rate effects under uniform and multiple-support earthquake excitations

  • Liu, Guohuan;Lian, Jijian;Liang, Chao;Zhao, Mi
    • Earthquakes and Structures
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    • v.10 no.5
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    • pp.989-1012
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    • 2016
  • The structural dynamic behavior and yield strength considering both ductility and strain rate effects are analyzed in this article. For the single-degree-of-freedom (SDOF) system, the relationship between the relative velocity and the strain rate response is deduced and the strain rate spectrum is presented. The ductility factor can be incorporated into the strain rate spectrum conveniently based on the constant-ductility velocity response spectrum. With the application of strain rate spectrum, it is convenient to consider the ductility and strain rate effects in engineering practice. The modal combination method, i.e., square root of the sum of the squares (SRSS) method, is employed to calculate the maximum strain rate of the elastoplastic multiple-degree-of-freedom (MDOF) system under uniform excitation. Considering the spatially varying ground motions, a new response spectrum method is developed by incorporating the ductility factor and strain rate into the conventional response spectrum method. In order to further analyze the effects of strain rate and ductility on structural dynamic behavior and yield strength, the cantilever beam (one-dimensional) and the triangular element (two-dimensional) are taken as numerical examples to calculate their seismic responses in time domain. Numerical results show that the permanent displacements with and without considering the strain rate effect are significantly different from each other. It is not only necessary in theory but also significant in engineering practice to take the ductility and strain rate effects into consideration.

Study of Tolerance Suitability of Door Operation Mechanism on Mobile Air Handing Unit Using 3-DCS Analysis (3-DCS를 이용한 자동차 공기 분배장치의 도아 구동 기구의 공차 적합성 분석에 대한 연구)

  • Kim, Jongsu;Lee, Daewoong
    • Transactions of the Korean Society of Automotive Engineers
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    • v.24 no.5
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    • pp.527-537
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    • 2016
  • Recent automakers are trying to be more precise with the dimension check and moving parts to guarantee high quality and satisfy customer requirements. The aim of this paper is to investigate the design tolerance suitability of door operating mechanism linked arms, lever, and cam-shaft in a mobile air handling unit. These parts are complicated because doors, arms, lever and cam-shaft are connected nonlinearly in 3D. The current tolerance analysis method poses problems in design analysis because the moving doors are reasonably suitable for the AHU function. The 3-DCS analysis method provided useful results not only in establishing the inspection criteria for the quality control of products but also in enabling economical production. As a result, the vent door had $1.62^{\circ}{\sim}1.72^{\circ}$ and the defrost door had $0.84^{\circ}{\sim}0.9^{\circ}$ for the directly connected arms operating-type. For the lever connected arm operating-type, the foot door had $2.0^{\circ}{\sim}2.24^{\circ}$ tolerance, while the tolerance values satisfied the air flow volume distribution rate criteria in the AHU. Finally, the results have confirmed the design's tolerance suitability by using 3-DCS analysis at the early design stages. Reliability can be achieved by analyzing accumulated tolerance during the sub-parts assembly process and the moving mechanism linked especially by arms, lever, and cam-shaft.

Evaluation of Sustainable Yield for a Small Rural Watershed (농촌 소유역의 지하수 지속가능개발량 평가)

  • Park, Ki-Jung;Chung, Sang-Ok
    • Journal of Korea Water Resources Association
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    • v.37 no.7
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    • pp.581-587
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    • 2004
  • An experimental watershed was selected and sustainable yield was evaluated. The study area(3.89$\textrm{km}^2$) was located in Kyungpook Sangju Yangchon-dong. The visual MODFLOW was verified by comparing the observed and estimated groundwater table. The analysis of the observed and estimated groundwater table from 19 March 2003 to 18 March 2004 showed that the average error was 0.0009m, the error sum of squares 7.245$m^2$, absolute mean error 0.094 m, root mean square error 0.141m, and the model efficiency was 92%. The normal, 10- and 30- year drought frequency years were selected and sustainable yield was evaluated in these periods. Ratios of sustainable yield to the annual infiltration were 14.5% for the normal year(1992), 15.1% for the 10-year(1994), and 15.2% for the 30-year drought frequency year(1982). The results of this study can be used as a basic information for groundwater development and management planning considering regional characteristics.

심근조영심초음파에서 심장의 움직임을 보정한 비침습적 심근관류모델의 정량적 평가

  • 이재훈;김희중;정남식;임세중;김기황
    • Proceedings of the Korean Society of Medical Physics Conference
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    • 2003.09a
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    • pp.49-49
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    • 2003
  • 목적 : 심초음파는 비침습적이므로 반복적으로 정확히 심질환의 경과를 관찰하여 치료효과 및 수술시기를 정할 수 있는 검사로서 임상적으로 매우 유용하다. 실시간 심근조영심초음파에 의한 time intensity 평가는 부위별로 수행됨으로 연속적으로 위치하는 관심영역이 intensity에 있어 심장의 움직임 변화에 영향을 받는다. Time intensity 곡선의 최적의 곡선맞춤을 위해 주기적인 심장 운동 매개변수를 조합해 기존의 모델을 보정한 안정적인 측정방법을 제시한다. 방법 : 심장의 운동에 의한 특징적인 정보를 설명하기 위해 기존의 문헌에 제시된 지수 함수에 주어진 심박수로 만들어진 시간에 관한 일반적인 정형파 함수를 추가한다. C(t) = A[1 - exp($\beta$t)] + Dsine(2$\pi$ft + $\theta$) C(t): videointensity A: plateau videointensity (blood volume) $\beta$: capillary blood velocity (rate constant of rise in videointensity) t: pulsing interval (ms) D: displacement from the periodic variance of the curve (estimated motion field from the ejection point for the ratio between systole and diastole) f: heart rate $\theta$: transit time issue A $\times$ $\beta$ : myocardial blood flow 관상동맥의 관류 데이터에 대한 실험이 펄스간격에 대한 비디오 세기로 수행되었다. 그리고 이러한 결과들이 the sum of squares due to error, R square, root mean squared error로 평가되었다. 결과 : 실험결과, 주기적인 심장의 움직임과 심박출 시점으로부터의 변위를 잘 기술하고 곡선에서의 측정 점들이 예측된 심장 움직임에 따라 성공적으로 표시되었다. 뿐만 아니라 보정된 모델이 현저한 적합도의 향상을 보여주었다. 결론 : 제시된 접근방법은 각각의 측정에서 심장 운동 영역의 변화에 독립적이며 측정 시점에 의해 영향받지 않고 심근 관류의 안정적인 측정이 가능하다. 심장의 움직임에 관한 매개변수를 조합한 모델로 곡선접합을 수행함으로써 관류의 정량적 정보를 좀더 정확하게 얻을 수 있으며 임상적 이용을 가능하게 할 것으로 기대된다.

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Seismic Design of Columns in Inverted V-braced Steel Frames Considering Brace Buckling (가새좌굴을 고려한 역 V형 가새골조의 기둥부재 내진설계법)

  • Cho, Chun-Hee;Kim, Jung-Jae;Lee, Cheol-Ho
    • Journal of Korean Society of Steel Construction
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    • v.22 no.1
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    • pp.1-12
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    • 2010
  • According to the capacity design concept which forms the basis of the current steel seismic codes, the braces in concentrically braced frames (CBFs) should dissipate seismic energy through cyclic tension yielding and cyclic compression buckling while the beams and the columns should remain elastic. Brace buckling in inverted V-braced frames induces unbalanced vertical forces which, in turn, impose the additional beam moments and column axial forces. However, due to difficulty in predicting the location of buckling stories, the most conservative approach implied in the design code is to estimate the column axial forces by adding all the unbalanced vertical forces in the upper stories. One alternative approach, less conservative and recommended by the current code, is to estimate the column axial forces based on the amplified seismic load expected at the mechanism-level response. Both are either too conservative or lacking technical foundation. In this paper, three combination rules for a rational estimation of the column axial forces were proposed. The idea central to the three methods is to detect the stories of high buckling potential based on pushover analysis and dynamic behavior. The unbalanced vertical forces in the stories detected as high buckling potential are summed in a linear manner while those in other stories are combined by following the SRSS(square root of sum of squares) rule. The accuracy and design advantage of the three methods were validated by comparing extensive inelastic dynamic analysis results. The mode-shape based method(MSBM), which is both simple and accurate, is recommended as the method of choice for practicing engineers among the three.

Comparative Review of the Correlation Between Electroneurography, Electromyography, Hematology Tests, or the Heart Rate Variability Test, with an Improvement in the Severity of Bell's Palsy Symptoms

  • Hwang, Ji-Min;Kim, Jun-Yeon;Kim, Ha-Na;Park, Kyeong-Ju;Jo, Min-Gi;Jang, Jun-Yeong;Nam, Sang-Soo;Goo, Bon Hyuk;Kim, Jung-Hyun;Ko, Min Jung;Chae, Sang Yeup;Park, Young Jae
    • Journal of Acupuncture Research
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    • v.38 no.3
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    • pp.192-199
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    • 2021
  • Background: In this retrospective study, we aimed to determine which diagnostic tests were associated with an improvement in Bell's palsy symptoms. Methods: There were 30 patients who visited Kyung Hee University Korean Medicine Hospital from April 1, 2017 to February 29, 2020, and who received East-West collaboration treatment for Bell's palsy. The tests included electroneurography (ENoG), electromyography (EMG), hematology, and heart rate variability (HRV) results which were used to determine if any test correlated with improvement of Bell's palsy symptoms. Results: The initial severity of symptoms did not correlate with the tests performed, with the exception of mean corpuscular hemoglobin concentration (p = 0.013). For both ENoG for oculi degeneration and mean EMG tests, the rate of nerve degeneration showed a significant negative correlation with the improvement of Bell's palsy symptoms. Amongst the HRV test indicators, the square root of the mean of the sum of the squares of differences between the adjacent normal R-R wave interval, the standard deviation of intervals, total power, very low frequency, and high frequency of the wave was negatively correlated with improvement of Bell's palsy symptoms. Similarly, glycosylated hemoglobin Type A1c (HbA1c) and erythrocyte sedimentation rate (ESR) showed a negative correlation with improvement of symptoms of Bell's palsy. With the exception of HbA1c and ESR, the remaining hematology test results showed no significant difference when comparing before and after treatment. Conclusion: ENoG, EMG, HRV test, HbA1c, and ESR negatively correlated with improvements in Bell's palsy symptoms and may determine the prognosis of Bell's palsy.

The Effect of Dry Cupping Treatment Applied to Back-shu Points on the Autonomic Nervous System through HRV (흉배부(胸背部)에 시행한 부항요법(附缸療法)이 자율신경계에 미치는 영향 - 심박변이도 측정을 통한 연구 -)

  • Hwang, Eun-Mi;Wang, Kai-Hsia;Bae, Jae-Ik;Keum, Dong-Ho
    • Journal of Korean Medicine Rehabilitation
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    • v.23 no.1
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    • pp.51-64
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    • 2013
  • Objectives : This study was performed to evaluate the effect of dry cupping treatment applied to back-shu points on the autonomic nervous system. Methods : Two groups of sympathicotonia and normal with each 30 volunteers were set up for this experiment. The sympathicotonia group was selected by the criterion for sympathicotonia by the questionnaire composed of 11 items. After 10 minutes for environmental adaptation, the first HRV(heart rate variability) test was conducted, and then, dry cupping therapy was applied to back-shu points for 5 minutes to stimulate sympathetic ganglia lying along the spine. The second HRV test was carried out just after the cupping therapy under the same condition and then, the third test was repeated after two hours based on the first test time. Results : 1. In sympathicotonia group, SDNN(standard deviation of all normal R-R intervals), RMSSD(the square root of the mean of the sum of the squares of differences between adjacent normal R-R intervals), Ln(HF)(high frequency power), nmHF(normalized high frequency power) increased and mHR(mean heart rate), nmLF(normalized low frequency power) decreased significantly right after dry cupping therapy which means dry cupping affects on autonomic nervous system. The effect lasts in these items of nmLF, Ln(HF), nmHF, rLHF(rate ratio of LF/HF). 2. In normal group, SDNN, RMSSD increased and mHR decreased significantly right after dry cupping therapy, too. But, Ln(LF)(low frequency power), nmLF, rLHF unexpectedly increased and nmLF, rLHF stay increased up to 2 hours. Conclusions : The results suggest that the dry cupping therapy has effect on the autonomic nervous system. It is effective to stabilize hyper-sympathetic tone of people diagnosed as Sympathicotonia and activate parasympathetic tone.

Clinical Characteristics and Heart Rate Variability of Foreign Domestic Violence Victims in Korea (국내 거주 외국인 가정폭력 피해 여성의 임상적 특징 및 심박변이도)

  • Kim, Kyu-Lee;Choi, Jin-Sook;Jang, Yong-Lee;Lee, Hae-Woo;Sim, Hyun-Bo
    • Sleep Medicine and Psychophysiology
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    • v.24 no.1
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    • pp.46-54
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    • 2017
  • Objectives: Domestic violence is related to many psychiatric diseases, such as depression, anxiety disorder, and PTSD. Heart rate variability (HRV) is an index of autonomic control of the heart and is related to cardiovascular and emotional disorders. Although there have been some studies on the effects of domestic violence on women's mental health, relatively little information is available on HRV in this population. The aim of this study is to investigate demographic data, psychological features, and HRV in female victims of domestic violence and difference between Korean and foreign female victims. Methods: A total of 210 female victims of domestic violence (166 Korean women and 44 foreign women) were recruited for this study. Psychological symptoms were measured using the Hamilton Rating Scale for Anxiety (HAM-A), Hamilton Rating Scale for Depression (HAM-D), and Impact of Event Scale-Revised (IES-R). HRV measures were assessed by time-domain and frequency-domain analyses. Results: The mean score of HAM-A was 13.81, that of HAM-D was 12.92, and that of IES-R was 33.61 ; there were no significant differences between Korean and foreign women in these measures. In HRV time domain analyses, approximate entropy (ApEn) was significantly increased in foreign women compared to the Korean women. The square root of the mean of the sum of the squares of differences between adjacent NN intervals (RMSSD) was significantly decreased in foreign women compared to Korean women. There were no significant differences in the other HRV variables between Korean and foreign women. Conclusion: Female victims of domestic violence in Korea are associated with depression, anxiety, and PTSD symptoms. The physiologic factors of a female victim's nationality could be related to higher ApEn and lower RMSSD in foreign female victims. These findings have important implications for future study to study the relationships among ethnic and environmental factors and HRV variables.