• Bulletin of the Korean Chemical Society
• /
• 제17권4호
• /
• pp.385-390
• /
• 1996

It has been well known that the Grad thirteen-moment equations have solutions only when the Mach number is less than a limiting value for the stationary plane shock-waves. The limit of Mach number has been re-examined by including successive terms in the series expansion of distribution function. The method employed is the linear analysis of moment equations near up-streaming and down-streaming flows. For the thirteen moment case, it has been confirmed that equations have solutions only when the Mach number is less than 1.6503, which is consistent with the literature value. For the case of twenty moments, the limit of Mach number is decreased to 1.3416.

• 대한토목학회논문집
• /
• 제14권3호
• /
• pp.487-493
• /
• 1994

강절(剛節) 뼈대 구조물(構造物)의 해석(解析)에 적용하는 모멘트 분배법은 총조정(總調整) 모멘트라는 개념을 이용하여 연립방정식(聯立方程式)으로 간단히 표현된다. 이 방정식(方程式)은 간단한 손계산기(hand calculator)로 직접 작성되고 쉽게 풀어질 수 있다. 이 방정식(조정방정식(調整方程式))은 무한번의 분배 과정을 완료한 상태를 나타내며 그 해는 소거법(消去法)으로 풀 수도 있으나 일종의 이완방정식(弛緩方程式)으로써 되풀이 산법을 사용하면 간단히 풀어진다. 이 방법이 연속량(連續梁)의 휨 모멘트 계산이나 영향선(影響線) 해석(解析)에 어떻게 이용될 수 있는 지를 두개의 예제로서 설명하였다. 특히 영향선의 해법은 전산에 편리하도록 행렬(行列)로 표현하였다.

• 한국전산구조공학회:학술대회논문집
• /
• 한국전산구조공학회 2006년도 정기 학술대회 논문집
• /
• pp.749-756
• /
• 2006

Because of the orthotropic elastic properties and significant two-way bending action, orthotropic plate theory may be suitable for describing the behavior of concrete filled grid bridge decks. Current AASHTO LRFD Bridge Design Specification(2004) has live load moment equations considering flexural rigidity ratio between longitudinal and transverse direction, but the Korea highway bridge design specification(2005) doesn't. The Korea highway bridge standard specification LRFD(1996) considers an orthotropic plate model with a single load to estimate live load moments in concrete filled grid bridge decks, which may not be conservative. This paper presents live load moment equations for truck and passenger car, based on orthotropic plate theory. The equations of truck model use multiple presence factor, impact factor, design truck and design tandem of the Korea highway bridge standard specification LRFD(1996). The estimated moments are verified through finite-element analyses.

• 한국정밀공학회지
• /
• 제18권2호
• /
• pp.214-221
• /
• 2001

This paper describes the design of 3-component force/moment sensor with the force and moment ratio of wide range. It can measure the x-direction force Fx, y-direction force Fy and z-direction moment Mz simultaneously. In order to accurately measure forces and moment using 3-component force/moment sensor, it should get suitable force and moment ratio(the ratio of force Fx=200 N and moment Mz=20 Nm is ten to one), and small interference error. In this paper, in order to design the 3-component force/moment sensor with the force and moment ratio of wide range, the procedures are performed as follow : 1) the derivation of the equations to predict the bending strains on the surfaces of the plate-beams under the force or the moments, 2) the determination of the size of the sensing elements of the force/moment sensor by using the derived equations, 3) the Finite Element Method(FEM) analysis and the characteristic test for confirming the strains from the theory analysis, 4) the selection of the attachment locations of the strain gages of each sensor, 5) the analysis of the rated strain and the interference error at the attachment location of strain gages. It reveals that the rated strains calculated from the derived equations make a good agreement with the results from the Finite Element Method analysis and the characteristic test.

• 콘크리트학회지
• /
• 제7권1호
• /
• pp.156-164
• /
• 1995

기둥의 축력-모멘트-곡률곡선으로 결정된 등가강성을 이용하여 P-${\Delta}$- 해석을 수행하는 방법은 횡화중을 받는 철근콘크리트 장주의 극한지지력을 비교적 정확하게 예측할 수 있으나 실무설계에 이용하기에는 복잡한 방법이다. 보다 효율적인 해석과정을 위하여 시방서상 사용가능한 기둥단면에 대한 축력-모멘트-곡률곡선과 이에 따른 등가강성을 구하고, 이를 간편하게 계산할 수 있는 등가강성식을 제안하였다. 제안된 강성식을 P-${\Delta}$ 해석법과 모멘트확대법에 적용하여 실험치와 비교하여 해석의 정확도를 확인하였다. 횡하중을 받는 철근콘크리트장주의 설계시 제안된 강성식을 입력자료로 이용한다면 좀더 간편하게 P-${\Delta}$ 해석을 수행할 수 있을 것이며, 시방서에서 규정된 모멘트확대법의 기둥강성식 대신 사용한다면 모멘트확대법의 정확도를 향상시킬 수 있을 것이다.

• 한국방재학회:학술대회논문집
• /
• 한국방재학회 2007년도 정기총회 및 학술발표대회
• /
• pp.437-440
• /
• 2007

Design equations for calculating the lateral-torsional buckling moment resistances of I-section beams with continuous lateral top-flange bracing subjected to several loading conditions are investigated based on elastic finite-element analyses. The equations presented in this study are compared with current moment gradient modifiers presented by other researchers and specifications. The equation suggested in the SSRC Guides(1998) has a good agreement with the results of finite-element analyses. The moment gradient correction factors proposed in the SSRC Guides(1998) should be easily used to calculate the lateral-torsional buckling moment resistance of I-beams with continuous lateral top-flange bracing.

• 한국해양공학회지
• /
• 제6권2호
• /
• pp.41-45
• /
• 1992

In this paper an application technique of moment equation method to solution of nonlinear rolling equation of motion of ships is investigated. The exciting moment in the equation of rolling motion of ships is described as non-white noise. This non-white exciting moment is generated through use of a shaping filter. These coupled equations are used to generate moment equations. The nonstationary responses of the nonlinear system are obtained. The results are compared with those of a linear system.

• 한국정밀공학회:학술대회논문집
• /
• 한국정밀공학회 1995년도 춘계학술대회 논문집
• /
• pp.585-590
• /
• 1995

This paper describes strain distribution analysis of a multiple parallel plate structure for a multi-componenet force and moment sensor. A parallel plate structure which has higher rigidity than a simple beam structure are widely used for multi-component force and moment sensor. The strain distribution in the beams of a parallel plate structure should be accurately calculated to design a high precision multi-component force and moment sensor. We derived equations to calculate the strains for multiple parallel plate structure. It reveals that results from finite element analysis and experiment are in good agreement with results from the derived equations.

• Computers and Concrete
• /
• 제26권4호
• /
• pp.317-325
• /
• 2020

A precise estimation of the natural time period of buildings improves design quality, causes a significant reduction of the buildings' weight, and eventually leads to a cost-effective design. In this study, in order to optimise the reinforced concrete frames design, some symmetrical and unsymmetrical buildings composed of solid and hollow members have been simulated using finite element software SAP 2000. In numerical models, different parameters such as overturning moment, story drift, deflection, base reactions, and stiffness of the buildings were investigated and the results have been compared with strength and serviceability limit criteria proposed by Australian Standard (AS 3600 2018). Comparing the results of the numerical modelling with existing standards and performing a cost analysis proved the merits of hollow box sections compared to solid sections. Finally, based on numerical simulation results, two equations for natural time period of moment resisting reinforced concrete buildings have been presented. Both derived equations reflected higher degree of correlation and reliability with different complexities of building when compared with existing standards and relationships provided by other scholars. Therefore, these equations will assist practicing engineers to predict elastic behaivour of structures more precisely.

• Journal of Mechanical Science and Technology
• /
• 제19권spc1호
• /
• pp.364-370
• /
• 2005

A stable walking pattern generation method for a biped robot is presented in this paper. In general, the ZMP (zero moment point) equations, which are expressed as differential equations, are solved to obtain a stable walking pattern. However, the number of differential equations is less than that of unknown coordinates in the ZMP equations. It is impossible to integrate the ZMP equations directly since one or more constraint equations are involved in the ZMP equations. To overcome this difficulty, DAE (differential and algebraic equation) solution method is employed. The proposed method has enough flexibility for various kinematic structures. Walking simulation for a virtual biped robot is performed to demonstrate the effectiveness and validity of the proposed method. The method can be applied to the biped robot for stable walking pattern generation.