• Title/Summary/Keyword: relative order

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Are theoretically calculated periods of vibration for skeletal structures error-free?

  • Mehanny, Sameh S.F.
    • Earthquakes and Structures
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    • v.3 no.1
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    • pp.17-35
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    • 2012
  • Simplified equations for fundamental period of vibration of skeletal structures provided by most seismic design provisions suffer from the absence of any associated confidence levels and of any reference to their empirical basis. Therefore, such equations may typically give a sector of designers the false impression of yielding a fairly accurate value of the period of vibration. This paper, although not addressing simplified codes equations, introduces a set of mathematical equations utilizing the theory of error propagation and First-Order Second-Moment (FOSM) techniques to determine bounds on the relative error in theoretically calculated fundamental period of vibration of skeletal structures. In a complementary step, and for verification purposes, Monte Carlo simulation technique has been also applied. The latter, despite involving larger computational effort, is expected to provide more precise estimates than FOSM methods. Studies of parametric uncertainties applied to reinforced concrete frame bents - potentially idealized as SDOF systems - are conducted demonstrating the effect of randomness and uncertainty of various relevant properties, shaping both mass and stiffness, on the variance (i.e. relative error) in the estimated period of vibration. Correlation between mass and stiffness parameters - regarded as random variables - is also thoroughly discussed. According to achieved results, a relative error in the period of vibration in the order of 19% for new designs/constructions and of about 25% for existing structures for assessment purposes - and even climbing up to about 36% in some special applications and/or circumstances - is acknowledged when adopting estimates gathered from the literature for relative errors in the relevant random input variables.

Study of the Periodic Ludwieg Tube Flow with Heat Addition (가열을 수반하는 Ludwieg Tube 유동에 대한 연구)

  • Baek, S.C.;Kwon, S.B.;Kim, H.D.
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.450-455
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    • 2001
  • The time-dependent behavior of nonequilibrium condensation of moist air through the Ludwieg tube is investigated with a computational fluid dynamics(CFD) method. The two-dimensional, compressible, Navier-Stokes equations, fully coupled with the condensate droplet growth equations, are numerically solved by a third-order MUSCL type TVD finite-difference scheme, with a second-order fractional time step. Baldwin-Lomax turbulence model is employed to close the governing equations. The computational results are compared with the previous experiments using the Ludwieg tube with a downstream diaphragm. The results clearly show that for an initial relative humidity below 30% there is no periodic oscillation of the condensation shock wave, but for an initial relative humidity over 40% the periodic excursions of the condensation shock occurs in the Ludwieg tube, and the frequency increases with the initial relative humidity. It is also found that total pressure loss due to nonequilibrium condensation in the Ludwieg tube should not be ignored even for a very low initial relative humidity, and the periodic excursions of the condensation shock wave are responsible for the total pressure loss.

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Study of Moist Air Flow Through the Ludwieg Tube

  • Baek, Seung-Cheol;Kwon, Soon-Bum;Kim, Heuy-Dong;Toshiaki Setoguchi;Sigeru Matsuo;Raghu S. Raghunathan
    • Journal of Mechanical Science and Technology
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    • v.17 no.12
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    • pp.2066-2077
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    • 2003
  • The time-dependent behavior of unsteady condensation of moist air through the Ludwieg tube is investigated by using a computational fluid dynamics (CFD) work. The two-dimensional, compressible, Navier-Stokes equations, fully coupled with the condensate droplet growth equations, are numerically solved by a third-order MUSCL type TVD finite-difference scheme, with a second-order fractional time step. Baldwin-Lomax turbulence model is employed to close the governing equations. The predicted results are compared with the previous experiments using the Ludwieg tube with a diaphragm downstream. The present computations represent the experimental flows well. The time-dependent unsteady condensation characteristics are discussed based upon the present predicted results. The results obtained clearly show that for an initial relative humidity below 30% there is no periodic oscillation of the condensation shock wave, but for an initial relative humidity over 40% the periodic excursions of the condensation shock occurs in the Ludwieg tube, and the frequency increases with the initial relative humidity. It is also found that total pressure loss due to unsteady condensation in the Ludwieg tube should not be ignored even for a very low initial relative humidity and it results from the periodic excursions of the condensation shock wave.

Prediction of Relative Deformation between Cutting Tool and Workpiece by Cutting Force [$1^{st}$ paper] (절삭력에 의한 공구와 공작물의 상대적 변형량 예측 [1])

  • Hwang, Young-Kug;Lee, Choon-Man
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.9
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    • pp.86-93
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    • 2010
  • Any relative deformation between the cutting tool and the workpiece at the machining point, results directly in form and dimensional errors. The source of relative deformations between the cutting tool and the workpiece at the contact point may be due to thermal, weight, and cutting forces. Thermal and weight deformations can be measured at various positions of the machine tool and stored in the compensation registers of the CNC unit and compensated the errors during machining. However, the cutting force induced errors are difficult to compensate because estimation of cutting forces are difficult. To minimize the error induced by cutting forces, it is important to improve the machining accuracy. This paper presents the pre-calculated method of form error induced by cutting forces. In order to estimate cutting forces, Isakov method is used and the method is verified by comparing with the experimental results. In order to this, a cylindrical-outer-diameter turning experiments are carried out according to cutting conditions.

A Relative Importance Evaluation for the Perception of Managers on the Comprehensive Rural Village Development Project using Analytic Hierarchy Process (계층분석과정(AHP)을 활용한 권역단위 종합정비사업 사무장 의식의 상대적 중요도 평가)

  • Jang, Dong-Heon
    • Journal of Korean Society of Rural Planning
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    • v.21 no.1
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    • pp.41-50
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    • 2015
  • In this study, the relative importance for the perception of managers on the comprehensive rural village development projects was evaluated using the AHP method. The fields for evaluation were 4 fields including human relationships, working conditions, work compensation and work burnout. Also, the relative importance for the perception of managers and priority order were analyzed through 15 evaluation items. The analysis result shows that the human relationships among 4 fields were regarded as the most important field, followed by work compensation, working conditions and work burnout. Also, the relationship with the chairperson for the human relationships, continuity of employment for the working conditions, salary for work compensation, and mental stress for work burnout were considered respectively as the most important item. Also, salary among all evaluation items was considered as the most important item for the relative importance, followed by continuity of employment, relationship with village residents and mental stress. However, work load, consulting firms, impersonal treatment and the relations between the administration showed relatively low importance and priority order. It is considered that this analysis result will be used as important preliminary data for establishing the role of manager in the comprehensive rural village development project.

The influences of children's perceived communication with Father and peer competence on children's happiness (초등학교 고학년 아동이 지각한 아버지와의 의사소통과 또래유능성이 아동의 행복감에 미치는 영향)

  • Ye Seul, Kim;Joo-Yeon, Lee
    • Korean Journal of Childcare and Education
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    • v.18 no.6
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    • pp.127-144
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    • 2022
  • Objective: The purpose of this study was to examine the relative influences of senior elementary school children's communication level with their fathers and peer competence on their happiness. Methods: The subjects of this study were 310 fifth and sixth grade students attending elementary school in Jeollanam-do. They responded to the level of communication with their fathers, peer competence, and happiness. For the data, t-test, Pearson's correlation analysis, and hierarchical regression analysis were performed. Results: First, there were some statistically significant differences according to gender differences in self-esteem and a sub-factor of happiness and the differences according to grades in open-type communication and problem-type communication. Second, it was found that children's happiness was highly correlated with communication with their fathers and peer competence. Third, the factors having the greatest relative influence on overall happiness were in the order of peer competence, open-type communication, problem-type communication, and gender. The variables influencing and the order of relative influence differed according to sub-factors of happiness. Conclusion/Implications: The present study revealed that peer competence has a significant impact on children's happiness. The results of this study suggest that research and development of convergent programs that can improve communication with fathers, peer competence, and children's happiness are necessary.

A Study on Shape Design Approach of Disk Cams using Relative Velocity of Followers (종동절의 상대속도를 이용한 원반 캠의 형상 설계법에 관한 연구)

  • 신중호;강동우;김종수;김대원
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.2
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    • pp.185-192
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    • 2000
  • Cam mechanism is one of the common devices used in many automatic machinery. Since the motion of the cam mechanism depends on the shape of the cam and the type of the follower, the shape design procedure must be well defined in order to determine the accurate shape of the cam corresponding to the prescribed motion of the follower. This paper proposes a new approach for designing the shape of disk cams. The proposed relative velocity method uses the relative velocity at center of the follower roller or at contact point between the cam and the follower for 4 different types of the disk cam systems. Also, the relative velocity method for determining the cam profile uses the geometric relationships of the cam and the follower.

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Uncertainty Evaluation of a multi-axis Force/Moment Sensor

  • Kim, Gab-Soon
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.3
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    • pp.5-11
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    • 2002
  • This paper describes the methods for calibration and evaluation of the relative expanded uncertainty of a multi-axis force/moment sensor. In order to use the sensor in the industry, it should be calibrated and its relative expanded uncertainty should be also evaluated. At present, the confidence of the sensor is shown with only interference error. However, it is not accurate, because the calibrated multi-axis force/moment sensor has an interference error as well as a reproducibility error of the sensor, etc. In this paper, the methods fur calibration and for evaluation of the relative expanded uncertainty of a multi-axis force/moment sensor are newly proposed. Also, a six-axis force/moment sensor is calibrated with the proposed calibration method and the relative expanded uncertainty is evaluated using the proposed uncertainty evaluation method and the calibration results. It is thought that the methods fur calibration and evaluation of the uncertainty can be usually used for calibration and evaluation of the uncertainty of the multi-axis force/moment sensor.

RELATIVE CLASS NUMBER ONE PROBLEM OF REAL QUADRATIC FIELDS AND CONTINUED FRACTION OF $\sqrt{m}$ WITH PERIOD 6

  • Lee, Jun Ho
    • East Asian mathematical journal
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    • v.37 no.5
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    • pp.613-617
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    • 2021
  • Abstract. For a positive square-free integer m, let K = ℚ($\sqrt{m}$) be a real quadratic field. The relative class number Hd(f) of K of discriminant d is the ratio of class numbers 𝒪K and 𝒪f, where 𝒪K is the ring of integers of K and 𝒪f is the order of conductor f given by ℤ + f𝒪K. In 1856, Dirichlet showed that for certain m there exists an infinite number of f such that the relative class number Hd(f) is one. But it remained open as to whether there exists such an f for each m. In this paper, we give a result for existence of real quadratic field ℚ($\sqrt{m}$) with relative class number one where the period of continued fraction expansion of $\sqrt{m}$ is 6.