• 제목/요약/키워드: Sum of Square

검색결과 322건 처리시간 0.027초

지대치의 재료와 Clasp 재료 사이의 마찰계수와 원형 clasp의 유지력 추정 (Fiction Coefficient between Abutment Materials and Clasp Materials and Estimation of Retention Force of Circumferential Clasp)

  • 임동천
    • 대한치과기공학회지
    • /
    • 제21권1호
    • /
    • pp.67-75
    • /
    • 1999
  • The purpose of this study is to evaluate the friction coefficients between abutment materials and clasp materials, and to an estimation formula for retention force. The coefficients of friction between three clasp materials and four abutment materials were measured under various conditions, polished and sandblasted and wet and dry. The measurement was repeated for each combination up to a total measurement of 1200 times. Estimation formula for retention force is measured as sum of two terms, which the one time is proportional to the product of friction coefficient ${\mu}$ and undercut u and the other term is proportional to u-squared. Two proportional coefficient were obtained by least square method. The results are as follows: 1. Friction coefficients were ranged from 0.08 to 0.53 under various conditions. 2. Friction coefficients of non-metal abutment materials are greater in wet conditions than dry conditions. 3. Friction coefficients of sandblasted clasp against abutment are greater than that of polished clasp. 4. Clasp retention force can be estimated with the model as F=$F_d(3.0{\mu}u+1.5u^2/h)$ with minor error.

  • PDF

A DFT and QSAR Study of Several Sulfonamide Derivatives in Gas and Solvent

  • Abadi, Robabeh Sayyadi kord;Alizadehdakhel, Asghar;Paskiabei, Soghra Tajadodi
    • 대한화학회지
    • /
    • 제60권4호
    • /
    • pp.225-234
    • /
    • 2016
  • The activity of 34 sulfonamide derivatives has been estimated by means of multiple linear regression (MLR), artificial neural network (ANN), simulated annealing (SA) and genetic algorithm (GA) techniques. These models were also utilized to select the most efficient subsets of descriptors in a cross-validation procedure for non-linear -log (IC50) prediction. The results obtained using GA-ANN were compared with MLR-MLR, MLR-ANN, SA-ANN and GA-ANN approaches. A high predictive ability was observed for the MLR-MLR, MLR-ANN, SA-ANN and MLR-GA models, with root mean sum square errors (RMSE) of 0.3958, 0.1006, 0.0359, 0.0326 and 0.0282 in gas phase and 0.2871, 0.0475, 0.0268, 0.0376 and 0.0097 in solvent, respectively (N=34). The results obtained using the GA-ANN method indicated that the activity of derivatives of sulfonamides depends on different parameters including DP03, BID, AAC, RDF035v, JGI9, TIE, R7e+, BELM6 descriptors in gas phase and Mor 32u, ESpm03d, RDF070v, ATS8m, MATS2e and R4p, L1u and R3m in solvent. In conclusion, the comparison of the quality of the ANN with different MLR models showed that ANN has a better predictive ability.

Yield displacement profiles of asymmetric structures for optimum torsional response

  • Georgoussis, George K.
    • Structural Engineering and Mechanics
    • /
    • 제45권2호
    • /
    • pp.233-257
    • /
    • 2013
  • Given the yield shear of a single-story inelastic structure with simple eccentricity, the problem of strength distribution among the resisting elements is investigated, with respect to minimize its torsional response during a ground motion. Making the hypothesis that the peak accelerations, of both modes of vibration, are determined from the inelastic acceleration spectrum, and assuming further that a peak response quantity is obtained by an appropriate combination rule (square root of sum of squares-SRSS or complete quadratic combination-CQC), the first aim of this study is to present an interaction relationship between the yield shear and the maximum torque that may be developed in such systems. It is shown that this torque may be developed, with equal probability, in both directions (clockwise and anticlockwise), but as it is not concurrent with the yield shear, a rational design should be based on a combination of the yield shear with a fraction of the peak torque. The second aim is to examine the response of such model structures under characteristic ground motions. These models provide a rather small peak rotation and code provisions that are based on such principles (NBCC-1995, UBC-1994, EAK-2000, NZS-1992) are superiors to EC8 (1993) and to systems with a stiffness proportional strength distribution.

서금요법이 복부비만 중년여성의 비만정도에 미치는 효과 (Effects of Seogeum Therapy on Obesity for Middle Aged Abdominal Obese Women)

  • 채은주;김춘길
    • 성인간호학회지
    • /
    • 제20권3호
    • /
    • pp.418-430
    • /
    • 2008
  • Purpose: This study was to examine the effects of Seogeum therapy for middle-aged abdominal obese women. Methods: Seogeum therapy combined cupping, stepping on ion aluminum board, adhering to Seoam moxibustion and Seoam pellet. The subjects consisted of 30 middle-aged abdominal obese women between 40 and 59 years of age: fifteen were assigned to experimental group, fifteen to control group. The data collection and treatments were performed from June to October, 2007. The subjects of experimental group participated in Seogeum therapy for 5 times per week during 8 weeks. The data were analyzed with Chi-square test, Wilcoxon signed rank test and Wilcoxon rank-sum test with SPSS/Window 12.0 program. Results: Seogeum therapy experimental group showed significant difference in change of general obesity indexes(body weight, body fat amount, body fat ratio, BMI) than control group supporting hypothesis 1. Experimental group showed significant difference in change of abdominal obesity indexes(abdominal fat ratio, waist circumference, hip circumference) than control group supporting hypothesis 2. Conclusion: Obesity management of Seogeum therapy had a positive effect for middle-aged obese women. Therefore, it is concluded that the obesity management of Seogeum therapy can be applied as a nursing intervention to decrease the obesity for middle-aged women.

  • PDF

소형 수직축 풍력발전기의 내진검증 해석 (Seismic Qualification Analysis of a Vertical-Axis Wind Turbine)

  • 최영휴;홍민기
    • 한국기계가공학회지
    • /
    • 제15권3호
    • /
    • pp.21-27
    • /
    • 2016
  • The static and dynamic structural integrity qualification was performed through the seismic analysis of a small-size Savonius-type vertical wind turbine at dead weight plus wind load and seismic loads. The ANSYS finite element program was used to develop the FEM model of the wind turbine and to accomplish static, modal, and dynamic frequency response analyses. The stress of the wind turbine structure for each wind load and dead weight was calculated and combined by taking the square root of the sum of the squares (SRSS) to obtain static stresses. Seismic response spectrum analysis was also carried out in the horizontal (X and Y) and vertical (Z) directions to determine the response stress distribution for the required response spectrum (RRS) at safe-shutdown earthquake with a 5% damping (SSE-5%) condition. The stress resulting from the seismic analysis in each of the three directions was combined with the SRSS to yield dynamic stresses. These static and dynamic stresses were summed by using the same SRSS. Finally, this total stress was compared with the allowable stress design, which was calculated based on the requirements of the KBC 2009, KS C IEC 61400-1, and KS C IEC 61400-2 codes.

직립 타공판 배열을 이용한 흡음장치 설계 (Design of Sound Absorbing System Using the Array of Upright Punching Plates)

  • 이종무;조일형;임용곤
    • 한국정보통신학회:학술대회논문집
    • /
    • 한국해양정보통신학회 2000년도 춘계종합학술대회
    • /
    • pp.386-391
    • /
    • 2000
  • 타공 구조물은 음파의 에너지를 감소시키는 특성을 가지고 있어 무향실의 벽에 많이 이용되고 있다. 음원으로부터 발생한 음파가 타공판을 통과할 때 타공판의 작은 구멍을 통해 강한 제트가 형성되어 점성에 의한 박리가 일어나 음파 에너지의 일부분이 열에너지로 소멸된다. 타공판의 작은 구멍을 통과하면서 발생하는 물리적 현상은 음향학 분야에서 많은 연구가 이뤄졌다. 타공판의 앞뒤의 음압(Acoustic Pressure)의 차이를 속도에 제곱에 비례하는 항력항(Drag Term)과 가속도에 비례하는 관성항(Inertia Term)의 합으로 표현하였고, 각 항에 포함된 계수들을 실험이나 간단한 계산을 통하여 구하는 방법을 제시하였다.

  • PDF

Integer Ambiguity Search Technique Using SeparatedGaussian Variables

  • Kim, Do-Yoon;Jang, Jae-Gyu;Kee, Chang-Don
    • International Journal of Aeronautical and Space Sciences
    • /
    • 제5권2호
    • /
    • pp.1-8
    • /
    • 2004
  • Real-Time Kinematic GPS positioning is widely used for many applications.Resolving ambiguities is the key to precise positioning. Integer ambiguity resolution isthe process of resolving the unknown cycle ambiguities of double difference carrierphase data as integers. Two important issues of resolving are efficiency andreliability. In the conventional search techniques, we generally used chi-squarerandom variables for decision variables. Mathematically, a chi-square random variableis the sum of mutually independent, squared zero-mean unit-variance normal(Gaussian) random variables. With this base knowledge, we can separate decisionvariables to several normal random variables. We showed it with related equationsand conceptual diagrams. With this separation, we can improve the computationalefficiency of the process without losing the needed performance. If we averageseparated normal random variables sequentially, averaged values are also normalrandom variables. So we can use them as decision variables, which prevent from asudden increase of some decision variable. With the method using averaged decisionvalues, we can get the solution more quicklv and more reliably.To verify the performance of our proposed algorithm, we conducted simulations.We used some visual diagrams that are useful for intuitional approach. We analyzedthe performance of the proposed algorithm and compared it to the conventionalmethods.

NUMERICAL METHODS FOR SOME NONLINEAR STOCHASTIC DIFFERENTIAL EQUATIONS

  • El-Borai, Mahmoud M.;El-Nadi, Khairia El-Said;Mostafa, Osama L.;Ahmed, Hamdy M.
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • 제9권1호
    • /
    • pp.79-90
    • /
    • 2005
  • In this paper we study the numerical solutions of the stochastic differential equations of the form $$du(x,\;t)=f(x,\;t,\;u)dt\;+\;g(x,\;t,\;u)dW(t)\;+\;\sum\limits_{|q|\leq2m}\;A_q(x,\;t)D^qu(x,\;t)dt$$ where $0\;{\leq}\;t\;{\leq}\;T,\;x\;{\in}\;R^{\nu}$, ($R^{nu}$ is the $\nu$-dimensional Euclidean space). Here $u\;{\in}\;R^n$, W(t) is an n-dimensional Brownian motion, $$f\;:\;R^{n+\nu+1}\;{\rightarrow}\;R^n,\;g\;:\;R^{n+\nu+1}\;{\rightarrow}\;R^{n{\times}n},$$, and $$A_q\;:\;R^{\nu}\;{\times}\;[0,\;T]\;{\rightarrow}\;R^{n{\times}n}$$ where ($A_q,\;|\;q\;|{\leq}\;2m$) is a family of square matrices whose elements are sufficiently smooth functions on $R^{\nu}\;{\times}\;[0,\;T]\;and\;D^q\;=\;D^{q_1}_1_{\ldots}_{\ldots}D^{q_{\nu}}_{\nu},\;D_i\;=\;{\frac{\partial}{\partial_{x_i}}}$.

  • PDF

목표스펙트럼의 평균과 분산을 고려한 지반운동 선정과 배율조정계수 결정방법 (An Accurate and Efficient Method for Selecting and Scaling Ground Motions Considering Target Response Spectrum Mean and Variance)

  • 하성진;박미영;한상환
    • 한국지진공학회논문집
    • /
    • 제20권5호
    • /
    • pp.331-340
    • /
    • 2016
  • It is important to select proper ground motions for obtaining accurate results from response history analyses. The purpose of this study is to propose an accurate and efficient method that does not require excessive computation for selecting and scaling ground motions to match target response spectrum mean and variance. The proposed method is conceptually simple and straightforward, and it does not use a simulation algorithm that requires a sophisticated subroutine program. In this method, the desired number of ground motions are sequentially scaled and selected from a ground motion library. The proposed method gives the best selection results using Sum of Square Error and has the smallest value(=0.14). Also, The accuracy and consistency of the proposed method are verified by comparing the selection results of the proposed method with those of existing methods.

A novel aerodynamic vibration and fuzzy numerical analysis

  • Timothy Chen;Yahui Meng;Ruei-Yuan Wang;ZY Chen
    • Wind and Structures
    • /
    • 제38권3호
    • /
    • pp.161-170
    • /
    • 2024
  • In recent years, there have been an increasing number of experimental studies showing the need to include robustness criteria in the design process to develop complex active control designs for practical implementation. The paper investigates the crosswind aerodynamic parameters after the blocking phase of a two-dimensional square cross-section structure by measuring the response in wind tunnel tests under light wind flow conditions. To improve the accuracy of the results, the interpolation of the experimental curves in the time domain and the analytical responses were numerically optimized to finalize the results. Due to this combined effect, the three aerodynamic parameters decrease with increasing wind speed and asymptotically affect the upper branch constants. This means that the aerodynamic parameters along the density distribution are minimal. Taylor series are utilized to describe the fuzzy nonlinear plant and derive the stability analysis using polynomial function for analyzing the aerodynamic parameters and numerical simulations. Due to it will yield intricate terms to ensure stability criterion, therefore we aim to avoid kinds issues by proposing a polynomial homogeneous framework and utilizing Euler's functions for homogeneous systems. Finally, we solve the problem of stabilization under the consideration by SOS (sum of squares) and assign its fuzzy controller based on the feasibility of demonstration of a nonlinear system as an example.