• Title/Summary/Keyword: Integral means

Search Result 231, Processing Time 0.024 seconds

Stress analysis with arbitrary body force by triple-reciprocity BEM

  • Ochiai, Y.;Kobayashi, T.
    • Structural Engineering and Mechanics
    • /
    • v.10 no.4
    • /
    • pp.393-404
    • /
    • 2000
  • Linear stress analysis without body force can be easily solved by means of the boundary element method. Some cases of linear stress analysis with body force can also be solved without a domain integral. However, domain integrals are generally necessary to solve the linear stress problem with arbitrary body forces. This paper shows that the linear stress problem with arbitrary body forces can be solved approximately without a domain integral by the triple-reciprocity boundary element method. In this method, the distribution of arbitrary body forces can be interpolated by the integral equation. A new computer program is developed and applied to several problems.

ESSENTIAL NORMS OF INTEGRAL OPERATORS

  • Mengestie, Tesfa
    • Journal of the Korean Mathematical Society
    • /
    • v.56 no.2
    • /
    • pp.523-537
    • /
    • 2019
  • We estimate the essential norms of Volterra-type integral operators $V_g$ and $I_g$, and multiplication operators $M_g$ with holomorphic symbols g on a large class of generalized Fock spaces on the complex plane ${\mathbb{C}}$. The weights defining these spaces are radial and subjected to a mild smoothness conditions. In addition, we assume that the weights decay faster than the classical Gaussian weight. Our main result estimates the essential norms of $V_g$ in terms of an asymptotic upper bound of a quantity involving the inducing symbol g and the weight function, while the essential norms of $M_g$ and $I_g$ are shown to be comparable to their operator norms. As a means to prove our main results, we first characterized the compact composition operators acting on the spaces which is interest of its own.

A Highly Robust Integral Optimal Variable Structure System (고 강인성 적분 최적 가변구조 제어기)

  • Lee, Jung-Hoon
    • Journal of IKEEE
    • /
    • v.9 no.2 s.17
    • /
    • pp.87-100
    • /
    • 2005
  • In this paper, a design of an integral augmented optimal variable structure system(IOVSS) is presented for the prescribed output control of uncertain SISO systems under persistent disturbances. This algorithm aims at removing the problems of the reaching phase by incorporating advanced optimal control theory. By means of an integral sliding surface, the reaching phase is completely removed, and the integral sliding surface can be defined from a given initial state to origin without any reaching phase. The ideal sliding dynamics of the integral sliding surface is obtained in the form of the state equation and is designed in an optimal sense by targeting the design of the integral sliding surface and equivalent control input. The corresponding control input is selected in order to generate the sliding mode on the predetermined integral sliding surface. As a result, the whole sliding output from a given initial state to origin is completely guaranteed against persistent disturbances. Moreover the prediction/predetermination of output is enabled, which helps in improving the performance over previously implemented VSS's. Through an illustrative example, the usefulness of the algorithm is shown.

  • PDF

Fundamental Study on Applying an Integral TiO2 Solution to Asphalt Pavement (1액형 광촉매를 아스팔트 포장에 적용하기 위한 기초연구)

  • Park, Jaeyoung;Kim, Young;Kim, Hyeok-Jung;Hwang, Yong-Kyung;Lee, Jaejun
    • International Journal of Highway Engineering
    • /
    • v.19 no.1
    • /
    • pp.53-62
    • /
    • 2017
  • PURPOSES : This research was a fundamental study on the application of an integral $TiO_2$ solution to asphalt concrete pavement. The integral $TiO_2$ solution was produced in pilot production equipment; application of the integral $TiO_2$ solution to asphalt pavement was conducted to examine the pollution-reducing capability of photocatalytic compounds such as $TiO_2$. The photocatalytic $TiO_2$ reacted with air pollutants, converting them into small amounts of relatively benign molecules. METHODS : In this study, laboratory experiments were conducted using five various testing methods. Tensile strength ratio (TSR) and British pendulum test (BPT) were conducted in order to evaluate the properties of asphalt pavement subsequent to the integral $TiO_2$ solution coating. In addition, methylene blue testing, a measurement of nitrate on the coated pavement, and nitrogen oxide (NOx) reduction testing were conducted in order to evaluate photocatalytic reaction. Lastly, a UV-A lamp was used as a light source for photocatalytic reactions. RESULTS : Test results indicated no change in the properties of asphalt pavement following the integral $TiO_2$ solution coating. In order to evaluate the performance of asphalt pavement as a function of $TiO_2$, the moisture susceptibility and skid resistance were investigated. The moisture susceptibility and skid resistance satisfied there quirements related to pavement quality and safety specification. Furthermore, the effects of reduction of air pollution were significantly improved as determined via the methylene blue test and NOx reduction test. The $TiO_2$-paved asphalt specimen exhibited approximately 43% reduction of NOx. CONCLUSIONS : This study has suggested that applying $TiO_2$ rarely impacts asphalt pavement performance measures such as moisture susceptibility and skid resistance, and that its application may be a better means of reducing air pollution. Further studies, such as proper $TiO_2$ dosage rates and compatibility with various pavement types, are required to broaden and generalize its application.

SOME FAMILIES OF INFINITE SUMS DERIVED BY MEANS OF FRACTIONAL CALCULUS

  • Romero, Susana Salinas De;Srivastava, H.M.
    • East Asian mathematical journal
    • /
    • v.17 no.1
    • /
    • pp.135-146
    • /
    • 2001
  • Several families of infinite series were summed recently by means of certain operators of fractional calculus(that is, calculus of derivatives and integrals of any real or complex order). In the present sequel to this recent work, it is shown that much more general classes of infinite sums can be evaluated without using fractional calculus. Some other related results are also considered.

  • PDF

Post-Processing Technique on the Determination of Crack Tip Stress Intensity Factors (균열선단 응력확대계수 결정을 위한 후처리기법)

  • Jin, Chi Sub;Jang, Heui Suk
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.11 no.1
    • /
    • pp.17-27
    • /
    • 1991
  • The determination of the stress intensity factors is investigated by means of a surface integral defined around the crack tip of the structure. It has been shown in this work that this integral is derived from the standard path integral J. The use of the surface integral has also been extended to the case where body forces act. Computer program obtaining the stress intensity factors $K_I$ and $K_{II}$ is developed, which prepares input variables from the result of the conventional finite element analysis. This paper provides a parabolic smooth curve function. By the use of the function and conventional element meshes in which the aspect ratio (element length/crack length)is about 25 percent, relatively correct $K_I$ and $K_{II}$ values can be obtained for the exterior radius ranging from 1/3 to 1 of the crack length.

  • PDF

The Effect of Intake Port Configurations on the Turbulence Characteristics During Compression Stroke in a Motored Engine (흡입포트형상에 따른 모터링엔진내 압축과정 난류특성 연구)

  • 강건용;이진욱;정석용;백제현
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.18 no.4
    • /
    • pp.920-932
    • /
    • 1994
  • The combustion phenomena of a reciprocating engine is one of the most important processes affecting performance and emissions. One effective way to improve the engine combustion is to control the motion of the charge inside a cylinder by means of optimum induction system design, because the flame speed is mainly determined by the turbulence at compression(TDC) process in S.I. engine. It is believed that the tumble and swirl motion generated during intake breaks down into small-scale turbulence in the compression stroke of the cycle. However, the exact nature of their relationship is not well known. This paper describes cycle resolved LDV measurement of turbulent flow inside the cylinder of a 4-valve engine under motoring(non-firing) conditions, and studies the effect of intake port configurations on the turbulence characteristics using following parameters ; Eulerian temporal autocorrelation coefficient, turbulence energy spectral density function, Taylor micro time scale, integral time scale, and integral length scale.

Design of Heat-Activated Reversible Integral Attachments for Product-Embedded Disassembly

  • Li, Ying;Kikuchi, Noboru;Saitou, Kazuhiro
    • International Journal of CAD/CAM
    • /
    • v.3 no.1_2
    • /
    • pp.19-29
    • /
    • 2003
  • Disassembly is a fundamental process needed for component reuse and material recycling in all assembled products. Integral attachments, also known as 'snap' fits, are favored fastening means in design for assembly (DFA) methodologies, but not necessarily a favored choice for design for disassembly. In this paper, design methods of a new class of integral attachments are proposed, where the snapped joints can be disengaged by the application of localized heat sources. The design problem of reversible integral attachments is posed as the design of compliant mechanisms actuated with localized thermal expansion of materials. Topology optimization technique is utilized to obtain conceptual layout of snap-fit mechanisms that realizes a desired deformation of snapped features for joint release. Two design approaches are attempted and design results of each approach are presented, where the geometrical configuration extracted from optimal topologies are simplified to enhance the manufacturability for the conventional injection molding technologies. To maximize the magnitude of deformation, a design scheme has been proposed to include boundary conditions as design variables. Final designs are verified using commercial software for finite element analysis.

A Locally Adaptive HDR Algorithm Using Integral Image and MSRCR Method (적분 영상과 MSRCR 기법을 이용한 국부적응적 HDR 알고리즘)

  • Han, Kyu-Phil
    • Journal of Korea Multimedia Society
    • /
    • v.25 no.9
    • /
    • pp.1273-1283
    • /
    • 2022
  • This paper presents a locally adaptive HDR algorithm using the integral image and MSRCR for LDR images with inadequate exposure. There are two categories in controlling the dynamic range, which are global and local tone mappings. Since the global ones are relatively simple but have some limitations at considering regional characteristics, the local ones are often utilized and MSRCR is a representative method. MSRCR gives moderate results, but it requires lots of computations for multi-scale surround Gaussian functions and produces the Halo effect around the edges. Therefore, in order to resolve these main problems, the proposed algorithm remarkably reduces the computation of the surrounds due to the use of the integral image. And a set of variable-sized windows is adopted to decrease the Halo effect, according to the type of pixel's region. In addition, an offset controlling function is presented, which is mainly affected to the subjective image quality and based on the global input and the desired output means. As the results, the proposed algorithm no more use Gaussian functions and can reduce the computation amount and the Halo effect.

CONSTRAINING SUPERNOVA PROGENITORS: AN INTEGRAL FIELD SPECTROSCOPIC SURVEY OF THE EXPLOSION SITES

  • KUNCARAYAKTI, H.;ALDERING, G.;ANDERSON, J.P.;ARIMOTO, N.;DOI, M.;GALBANY, L.;HAMUY, M.;HASHIBA, Y.;KRUEHLER, T.;MAEDA, K.;MOROKUMA, T.;USUDA, T.
    • Publications of The Korean Astronomical Society
    • /
    • v.30 no.2
    • /
    • pp.139-143
    • /
    • 2015
  • We describe a survey of nearby core-collapse supernova (SN) explosion sites using integral field spectroscopy (IFS) techniques, which is an extension of the work described in Kuncarayakti et al. (2013). The project aims to constrain SN progenitor properties based on the study of the immediate environment of the SN. The stellar populations present at the SN explosion sites are studied by means of integral field spectroscopy, which enables the acquisition of both spatial and spectral information of the object simultaneously. The spectrum of the SN parent stellar population gives an estimate of its age and metallicity. With this information, the initial mass and metallicity of the once coeval SN progenitor star are derived. While the survey is mostly done in optical, the additional utilization of near-infrared integral field spectroscopy assisted with adaptive optics (AO) enables us to examine the explosion sites in high spatial detail, down to a few parsecs. This work is being carried out using multiple 2-8 m class telescopes equipped with integral field spectrographs in Chile and Hawaii.