• Title/Summary/Keyword: Analytical Integration

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A Study on the Detection of Cutter Runout Magnitude in Milling (밀링가공에서의 커더 런 아웃량 검출에 관한 연구)

  • Hwang, J.;Chung, E. S.;Lee, K. Y.;Shin, S. C.;Nam-Gung, S.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.151-156
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    • 1995
  • This paper presents a methodology for real-time detecting and identifying the runout geometry of an end mill. Cutter runout is a common but undesirable phenomenon in multi-tooth machining such as end-milling process because it introduces variable chip loading to insert which results in a accelerated tool wear,amplification of force variation and hence enlargement vibration amplitude. Form understanding of chip load change kinematics, the analytical sutting force model was formulated as the angular domain convolution of three dynamic cutting force component functions. By virtue of the convolution integration property, the frequency domain expression of the total cutting forces can be given as the algebraic multiplication of the Fourier transforms of the local cutting forces and the chip width density of the cutter. Experimental study are presented to validata the analytical model. This study provides the in-process monitoring and compensation of dynamic cutter runout to improve machining tolerance tolerance and surface quality for industriql application.

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Time Domain Soil-Structure Interaction Analysis for Earthquake Loadings Based on Analytical Frequency-Dependent Infinite Elements (해석적 주파수종속 무한요소를 사용한 시간영역해석의 지반-구조물의 상호작용을 고려한 지진해석)

  • Kim, Doo-Kie;Yun, Chung-Bang
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.04a
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    • pp.121-128
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    • 1999
  • This paper presents a time domain method for soil-structure interaction analysis for seismic loadings. It is based on the finite element formulation incorporating analytical frequency-dependent infinite elements for the far field soil. The dynamic stiffness matrices of the far field region formulated using the present method in frequency domain can be easily transformed into the corresponding matrices in time domain. At first, the equivalent earthquake forces are evaluated along the interface between the near and the far fields from the free-field response analysis carried out in frequency domain, and the results are transformed into the time domain. An efficient procedure is developed for the convolution integrals to evaluate the interaction force along the interface, which depends on the response on the interface at the past time instances as well as the concurrent instance. Then, the dynamic responses are obtained for the equivalent earthquake force and the interaction force using Newmark direct integration technique. Since the response analysis is carried out in time domain, it can be easily extended to the nonlinear analysis. Example analysis has been carried out to verify the present method in a multi-layered half-space.

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Behavior of Steel Box Girder Bridge According to the Placing Sequences of Concrete Slab (I) (강합성 상자형 교량의 바닥판 타설에 따른 거동 연구(I) - 해석모델 및 현장실험 -)

  • Kwak, Hyo Gyoung;Seo, Young Jae;Jung, Chan Mook;Park, Young Ha
    • Journal of Korean Society of Steel Construction
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    • v.12 no.2 s.45
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    • pp.123-131
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    • 2000
  • In this study, both experimental and analytical study for behavior of the existing composite steel box girder bridges, constructed along with the procedure of continuous placing slab, are conducted to establish the validity of the proposed model. The layer approach is adopted to determine the equilibrium condition in a section to consider the different material properties and concrete cracking across the sectional depth, and the beam element stiffness is constructed on the basis of the assumed displacement field formulation and the 3-points Gaussian Integration. In addition, the effects of creep and shrinkage of concrete for time-dependent behavior of the bridge are taken into consideration. Finally, both analytical and experimental results are compared.

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Free vibration analysis of non-prismatic beams under variable axial forces

  • Saffari, H.;Mohammadnejad, M.;Bagheripour, M.H.
    • Structural Engineering and Mechanics
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    • v.43 no.5
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    • pp.561-582
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    • 2012
  • Despite popularity of FEM in analysis of static and dynamic structural problems and the routine applicability of FE softwares, analytical methods based on simple mathematical relations is still largely sought by many researchers and practicing engineers around the world. Development of such analytical methods for analysis of free vibration of non-prismatic beams is also of primary concern. In this paper a new and simple method is proposed for determination of vibration frequencies of non-prismatic beams under variable axial forces. The governing differential equation is first obtained and, according to a harmonic vibration, is converted into a single variable equation in terms of location. Through repetitive integrations, integral equation for the weak form of governing equation is derived. The integration constants are determined using the boundary conditions applied to the problem. The mode shape functions are approximated by a power series. Substitution of the power series into the integral equation transforms it into a system of linear algebraic equations. Natural frequencies are determined using a non-trivial solution for system of equations. Presented method is formulated for beams having various end conditions and is extended for determination of the buckling load of non-prismatic beams. The efficiency and convergence rate of the current approach are investigated through comparison of the numerical results obtained to those obtained using available finite element software.

Analytical Evaluation of the Surface Integral in the Singularity Methods (특이점분포법의 표면적분항의 해석적 계산)

  • Jung-Chun Suh
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.1
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    • pp.14-28
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    • 1992
  • For a planar curve-sided paned with constant or linear density distributions of source or doublet in the singularity methods, Cantaloube and Rehbach(1986) show that the surface integral can be transformed into contour integral by using Stokes' formulas. As an extension of their formulations, this paper deals with a planar polygonal panel for which we derive the closed-forms of the potentials and the velocities induced by the singularity distributions. Test calculations show that the analytical evaluation of the closed-forms is superior to numerical integration(suggested by Cantaloube and Rehbach) of the contour integral. The compact and explicit expressions may produce accurate values of matrix elements of simultaneous linear equations in the singularity methods with much reduced computer tiome.

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Electro-thermal Feedback Effects on the Signal in a Pulse Voltage Biased μ-bolometer Focal Plane Array (마이크로 볼로미터 초점면 배열에서 전기-열적 피드백 현상이 신호에 미치는 영향)

  • Park, Seung-Man;Han, Seungoh
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.12
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    • pp.1886-1891
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    • 2012
  • In this paper, the analytical models for the electrothermal feedback of a ${\mu}$-bolometer focal plane array(FPA) are proposed and applied to the conceptually designed FPA to investigate the electrothermal feedback effect on bolometer FPA signal. The temperature and resistance change of the ${\mu}$-bolometer by the electrothermal feedback(ETF) model are increased upto 20 and 35.7 % of those of no feedback case, respectively, while those by the effective thermal conductance(ETC) model increased 8.5 and 15.1 %. The integration current and output voltage of a CTIA used as an column amplifier of FPA are also increased upto 41.6 and 32.4 % by the ETF model, while increased upto 17.2 and 13.5 % by the ETC model. The proposed models give more accurate temperature change, accordingly larger signal than no feedback considering case. Electrothermal feedback effect should be considered to design a high performance and high density ${\mu}$-bolometer FPA. The proposed models are very useful to investigate the transient thermal analysis, also considered to be useful to predict the responsivity and dynamic range of ${\mu}$-bolometer FPAs.

Optimization of Detention Basin at Watershed Level Scale

  • Ngo, Thi Thuy;Yazdi, Jafar;Kim, Joong Hoon
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.218-218
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    • 2015
  • Urbanization and waterworks construction in natural watershed have been causing higher flood risks in lowland areas. Detention basins have become one of the most efficient fundamental instruments for storm water and environmental management at watershed scale. Nowadays, there are many studies coupled numerical methods of flood routing with optimization algorithms to investigate factors that impact on the efficiency of detention basins in flood reduction in a watershed, such as detention basin location, size, and cost and watershed characteristics. Although these couplings have been become more widespread but cumbersome computation and hydraulic data requirement still are their limitations. To tackle the procedure efforts due to numerical integration and data collection, simple approach is proposed to primarily estimate effects of detention basins. The approach basis is the linear system theory applied to the solution of hydrologic flood routing. The paper introduces an analytical method for estimating detention effects deriving by recent studies and innovatively analyses this equation on fractal perspective. Then, an optimization technique is performed by applying harmony search algorithms (HSA) to optimize efficiency of detention basins at watershed scale. The location and size of upstream detention basin are simultaneously obtained. Finally, the proposed methodology, practically applied for a real watershed in Kan river, Iran.

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Accuracy evaluation of 3D time-domain Green function in infinite depth

  • Zhang, Teng;Zhou, Bo;Li, Zhiqing;Han, Xiaoshuang;Gho, Wie Min
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.13 no.1
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    • pp.50-56
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    • 2021
  • An accurate evaluation of three-dimensional (3D) Time-Domain Green Function (TDGF) in infinite water depth is essential for ship's hydrodynamic analysis. Various numerical algorithms based on the TDGF properties are considered, including the ascending series expansion at small time parameter, the asymptotic expansion at large time parameter and the Taylor series expansion combines with ordinary differential equation for the time domain analysis. An efficient method (referred as "Present Method") for a better accuracy evaluation of TDGF has been proposed. The numerical results generated from precise integration method and analytical solution of Shan et al. (2019) revealed that the "Present method" provides a better solution in the computational domain. The comparison of the heave hydrodynamic coefficients in solving the radiation problem of a hemisphere at zero speed between the "Present method" and the analytical solutions proposed by Hulme (1982) showed that the difference of result is small, less than 3%.

Propagating and evanescent waves in a functionally graded nanoplate based on nonlocal theory

  • Cancan Liu;Jiangong Yu;Bo Zhang;Xiaoming Zhang;Xianhui Wang
    • Advances in nano research
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    • v.14 no.5
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    • pp.463-474
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    • 2023
  • The purpose of this paper is to present the analysis of propagating and evanescent waves in functionally graded (FG) nanoplates with the consideration of nonlocal effect. The analytical integration nonlocal stress expansion Legendre polynomial method is proposed to obtain complete dispersion curves in the complex domain. Unlike the traditional Legendre polynomial method that expanded the displacement, the presented polynomial method avoids employing the relationship between local stress and nonlocal stress to construct boundary conditions. In addition, the analytical expressions of numerical integrations are presented to improve the computational efficiency. The nonlocal effect, inhomogeneity of medium and their interactions on wave propagation are studied. It is found that the nonlocal effect and inhomogeneity of medium reduce the frequency bandwidth of complex evanescent Lamb waves, and make complex evanescent Lamb waves have a higher phase velocity at low attenuation. The occurrence of intersections of propagating Lamb wave in the nonlocal homogeneous plate needs to satisfy a smaller Poisson's ratio condition than that in the classical elastic theory. In addition, the inhomogeneity of medium enhances the nonlocal effect. The conclusions obtained can be applied to the design and dynamic response evaluation of composite nanostructures.

An Application of the Analytical Hierarchy Process (AHP) for Safety measurement in Malaysian Construction Industry

  • Samad Doostdar;Zubaidah Ismail
    • International conference on construction engineering and project management
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    • 2013.01a
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    • pp.66-73
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    • 2013
  • Analytical Hierarchy Process (AHP) is a famous method amongst Multi Criteria Decision Making (MCDM), set up by Saaty in 1980. AHP can be determined as a methodology of hierarchical analysis following reasonable decision making with make simpler a difficult crisis. Decision making in systems of Safety management concerned multipart challenges. AHP is process for get better the composite decisions understanding with analyzes of the problem in a structure of hierarchy. The integration all of applicable decision criteria, their pair wise judgment permits the decision maker to establish the trade-offs amongst objectives. In recent years, Malaysian's economy and infrastructure development have significantly and rapidly risen. The construction industry continues to play a major role in this development as many construction activities have been carried out to meet the high demands of the expansive market. However, the construction industry has faced a wide range of challenges, one of which is the frequent occurrences of accidents at the workplace. An effective safety program can substantially reduce accidents because it can help management to build up safer means of operations and create safe working environments for the workers. Furthermore, by having an effective safety programs, good safety culture can be embedded in organization because it can encourage mutual cooperation between management and workers in the operations of the programs and decisions that affect their safety and health. The focus of this research is development methodology of Analytics Hierarchy Process (AHP) in construction safety factors and investigates the levels of some effective elements in SMS in Malaysian construction industries.

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