JaLCDOI 10.18926/15800
FullText URL Mem_Sch_Eng_OU_19_2_49.pdf
Author Yamamoto Kyoji|
Abstract A Galerkin method is applied to a singular integral equation of fredholm type originated in the problem of the rarefied gas flow over a plane wall. The solution is expanded in a series of the Abramowitz function. The numerical calculations were carried out up to ten-terms expansions. The results show a good convergence of the series.The comparison is made with the previous work obtained by the moment method.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1985-02-25
Volume volume19
Issue issue2
Start Page 49
End Page 61
ISSN 0475-0071
language English
File Version publisher
NAID 120002307308
JaLCDOI 10.18926/15799
FullText URL Mem_Sch_Eng_OU_16_1_105.pdf
Author Myojin Sho| Asai Kazuhiko|
Abstract A welfare economic approach is tried to an optimal decision of toll rate and expansion of urban expressway network in an equilibrium of toll revenues and cost of service supplied. The model, originated with Yamada, is such that the decision comes into optimality when the maximum consumers' surplus is reached in the equilibrium condition. The paper is concerned with some general aspects of the optimal solution and reexamination of the solution obtained in the past when used a specific demand curve. General aspects obtained are as follows; The extremum condition to consumers' surplus is equivalent to that to diverted traffic (the realized number of expressway users) only when demand curve has such a property that the marginal consumers' surplus to network expansion vanishes. In case that the marginal consumers' surplus does not vanish, the extrema of consumers' surplus is found in the regions of negative marginal diverted traffic if demand curve yields positive marginal surplus, and in the regions of the positive if it gives negative marginal surplus. The contact points of demand and average cost curves give extrema of neither consumers' surplus nor diverted traffic. An implicative finding, made out by Yamada by using a specific demand curve, that optimal network expansion is reached when the marginal service cost to expansion averaged to the marginal diverted traffic to expansion is equal to the value of time saved by using expressway just by mean trip length holds good at the points of the maximum diverted traffic, but not at the contacts of demand and average cost curves. In case of the demand curve, the condition for an equilibrium of revenues and cost to come into existence is that the minimum of the ratio of service cost averaged to the whole population of expressway users to the value of time mentioned above is less than or equal to e(-1).
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1982-03-01
Volume volume16
Issue issue1
Start Page 105
End Page 123
ISSN 0475-0071
language English
File Version publisher
NAID 120002307932
JaLCDOI 10.18926/15798
FullText URL Mem_Sch_Eng_OU_19_2_33.pdf
Author Taniguchi Takeo| Mitsuoka Kazuhiko| Terada Takashi|
Abstract This paper treats the convergence condition of the explicit finite element method (i.e. the time and spatial axes are discretized by using the explicit finite difference method and the weighted residual method, respectively) which is applied for analyzing the heat problem in region with complex boundary configuration and also with several material properties. The main role of this study is the application of the Brauer's theorem. As the results we obtain that the usage of the Brauer's theorem is valid and that the application method of the theorem is presented in this paper.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1985-02-25
Volume volume19
Issue issue2
Start Page 33
End Page 48
ISSN 0475-0071
language English
File Version publisher
NAID 120002307201
JaLCDOI 10.18926/15797
FullText URL Mem_Sch_Eng_OU_16_1_91.pdf
Author Nago Hiroshi|
Abstract In this paper the vertical distribution of pore water pressure in the highly saturated sand layer under the oscillating water pressure are treated theoretically and experimentally. By the experiments it is shown that the water pressure acting on the sand surface propagates into the sand layer with the damping in amplitude and the lag in phase, and that the liquefaction, the state that the effective stress becomes zero, occurs under certain conditions. These experimental results are explained fairly well by the same theoretical treatment as for the ground water problems in the elastic aquifer. The main characteristics of liquefaction clarified by the analysis are as follows. 1) The depth of the liquified layer increases with the increase of the amplitude and the frequency of the oscillating water pressure. 2) The increase of the volume of the water and the air in the layer increases the liquified depth. Especially the very small amount of the air affects the liquefaction significantly. 3) The liquified depth decrease rapidly with the increase of the compressibility coefficient of the sand. 4) In the range beyond a certain value of the permeability coefficient the liquified depth decrease with the increase of the coefficient.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1982-03-01
Volume volume16
Issue issue1
Start Page 91
End Page 104
ISSN 0475-0071
language English
File Version publisher
NAID 120002307671
JaLCDOI 10.18926/15796
FullText URL Mem_Sch_Eng_OU_19_2_23.pdf
Author Myojin Sho| Kishino Keiichi|
Abstract A welfare economic approach is applied to investigate some implications of optimal pricing in urban expressway where two different groups of users are supposed to exist. On the assumption of a specified demand function, following implications are shown; (1) optimal prices must be such that the diversion ratios are the same and (2) the price rates must be set equal each other, where the price rate means the proportion of the price to the average user benefit. In connection with the results, the elasticity of the demand with respect to price is measured in Osaka area of Hanshin Expressway, where two different levels of price are flatly set for users according to the characteristics of their cars.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1985-02-25
Volume volume19
Issue issue2
Start Page 23
End Page 32
ISSN 0475-0071
language English
File Version publisher
NAID 120002307638
JaLCDOI 10.18926/15795
FullText URL Mem_Sch_Eng_OU_16_1_65.pdf
Author Kohno Iichiro| Nishigaki Makoto|
Abstract The purposes of this research is an investigation of the intrusion of sea water into coastal aquifers. For this subject, this paper deals with proposing rational methods of getting diffusion coefficient and dispersion parameter for flow in porous media in a laboratory. These parameters of soil are indispensable in order to apply an analytical approach or a numerical approach to actual salt water intrusion problems. Experimental apparatuses were constructed and test procedures were also developed to measure concentration behaviors in a saturated porous media by using electro conductivity probe. As the results, the diffusion coefficients for the Toyoura standard sand and the Asahi river sand determined by two methods, that is, "Boltzman's transformation method" and "Instantaneous profile analysis method". The longitudinal coefficient of dispersion for one-dimensional flow was also determined by the least squares curve fitting method with a function of a certain range of seepage velocity.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1982-03-01
Volume volume16
Issue issue1
Start Page 65
End Page 89
ISSN 0475-0071
language English
File Version publisher
NAID 120002307205
JaLCDOI 10.18926/15794
FullText URL Mem_Sch_Eng_OU_19_2_13.pdf
Author Koga, Ryuji| Kosaka, Megumi| Sano, Hiroya|
Abstract A quasi-random method for spectral scanning is proposed to reduce an alias response to a quick change in the source abundance. A direct application is made for an atmospheric methane monitoring with a current-tunable diode laser. Only barrel shift methods are examined being found further vulnerable to drifting etalon fringes.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1985-02-25
Volume volume19
Issue issue2
Start Page 13
End Page 22
ISSN 0475-0071
language English
File Version publisher
NAID 120002308000
JaLCDOI 10.18926/15793
FullText URL Mem_Sch_Eng_OU_16_1_47.pdf
Author Mori Chuji| Hattori Susumu| Tanabe Hiroshi|
Abstract A practical example of digital rectification of tilted photographs using a drum scanning micro densitometer and general purpose computers is depicted. The present research covers rectification of projective distorsions, occuring when the camera axis is not truly vertical, and affine distorsions due to curvature of a drum of a scanner. For this purpose, fundamental mathematical expressions were derived. And some pixel interpolation methods necessary for image reconstruction were compared experimentally. The examples revealed, however, that the film was deformed so complexly that they could not be corrected sufficiently only by affine transformation. Accuracy of rectification was checked by use of stereo aerial photographs in terms of residual y-parallaxes. The result showed residual y-parallaxes of ± 1 pixel (± 50 μm) and sometimes ± 2 pixels were observed. They seem to be caused mainly by film deformations which have not been eliminated, and their amount seems to exceed the photogrammetric tolerance.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1982-03-01
Volume volume16
Issue issue1
Start Page 47
End Page 64
ISSN 0475-0071
language English
File Version publisher
NAID 120002307893
JaLCDOI 10.18926/15792
FullText URL Mem_Sch_Eng_OU_19_2_1.pdf
Author Yokoyama Fumiyoshi| Monobe Kazuo|
Abstract The phase transition of urea complexes whose guest components range from n-paraffin to polyethylene was investigated by DSC thermal analysis. The transition temperatures increased with increasing the chain length; the related heats did not change much with the chain length. An X-ray powder diffractometry for urea-polyethylene complex revealed that the complex undergoes the same kind of phase transition between orthorhombic and hexagonal as urea-n-paraffin complex. The transition is interpreted in terms of an order-disorder transition with respect to the orientation of the guest molecule.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1985-02-25
Volume volume19
Issue issue2
Start Page 1
End Page 11
ISSN 0475-0071
language English
File Version publisher
NAID 120002307831
JaLCDOI 10.18926/15791
FullText URL Mem_Sch_Eng_OU_16_1_31.pdf
Author Kaneda Masahiro| Akahori Ichiro|
Abstract System data handling in CAD sY8tem for designing control systems is discussed. A man-oriented data description method for a wide sense block diagram and its automatical transformation into the state space description is proposed. This work is a part of CAD system: CADPACS-T which has been under development for designing control systems in our laboratory. The proposal data description for a wide sense block diagram has the following features: 1) to correspond nicety to the block diagram and to be suitable for a man-oriented expression, 2) to express even a large scale system compactly by partitioning into some subsystems defined externally, 3) to be easy to add /or alter the input-output terminals, parameters or elements, and 4) to need not to assign the connection relationship explicitly owing to adopting the input-output terminal/line names. Moreover, system data handling in designing the PI controller for an actual boiler system expressed in a block diagram is taken up as an example.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1982-03-01
Volume volume16
Issue issue1
Start Page 31
End Page 45
ISSN 0475-0071
language English
File Version publisher
NAID 120002308002
JaLCDOI 10.18926/15790
FullText URL Mem_Sch_Eng_OU_16_1_21.pdf
Author Koga, Ryuji| Kosaka, Megumi| Sano, Hiroya|
Abstract In a sensitive spectrometry with lead-salt diode lasers, etalon-fringe phenomena often intervene in the measured absorption spectrum. Derivative methods are employed for the purpose of high resolution where the pertaining wavelength is modulated. This paper presents results of mathematical examination on a possible improvement of immunity from the etalon-fringes by choosing the profile of the wavelength modulation.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1982-03-01
Volume volume16
Issue issue1
Start Page 21
End Page 30
ISSN 0475-0071
language English
File Version publisher
NAID 120002307691
JaLCDOI 10.18926/15789
FullText URL Mem_Sch_Eng_OU_19_1_53.pdf
Author Korenaga Takashi| Moriwake Tosio| Takahashi Teruo|
Abstract Three methods for determining chemical oxygen demand (COD) by means of flow injection analysis (FIA) with potassium permanganate, potassium dichromate, or cerium(IV) sulfate as oxidant, developed in this laboratory, are described from the point of view of their operating properties. The permanganate method is the most sensitive and common, but forms manganese(IV) oxide precipitate which blocks the FIA lines and connectors. Addition of phosphoric acid in the reagent system is, however, effective to some extent in order to avoid blocking the flow system. The dichromate method is the most workable and stable, but produces toxic wastes containing chromium(VI). The cerium method is the most probable because cerium(IV) is the strongest oxidant of the three and less poisonous. The last method with cerium(IV) sulfate is therefore recommendable to apply to the continuous monitoring of COD in many situation.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1984-11-26
Volume volume19
Issue issue1
Start Page 53
End Page 62
ISSN 0475-0071
language English
File Version publisher
NAID 120002307292
JaLCDOI 10.18926/15787
FullText URL Mem_Sch_Eng_OU_19_1_45.pdf
Author Oda Kiichi| Yoshio Tetsuo| O-oka Kazuo|
Abstract Succeeding to 60(Ba,Sr)TiO(3)-10A1(2)O(3)-30SiO(2)glassceramics reported in our previous paper, another type of ferroelectric glass-ceramics was elaborated by the controlled growth of Ba(l-x)Ca(x)TiO(3) crystal particles in the glass system 60 (Ba(l-y)Ca(y)) TiO(3)-10Al(2)O(3)-30SiO(2) (0.0
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1984-11-26
Volume volume19
Issue issue1
Start Page 45
End Page 51
ISSN 0475-0071
language English
File Version publisher
NAID 120002307972
JaLCDOI 10.18926/15786
FullText URL Mem_Sch_Eng_OU_15_2_165.pdf
Author Inoue Hiroshi|
Abstract In this paper, the optimal toll-rate and scale of urban expressway is discussed economically. The criterion used is the total surplus of expressway, which is defined as the sum of consumer's surplus of expressway users and producer's surplus on the side of expressway administrator. The total surplus is equivalent to the difference of the value of total saved travel times of expressway users and the total cost required to construct and administrate expressway systems. The flow-dependent travel times is assumed, and traffic demand is induced through equilibrium method. On the other hand, for the management of expressway to be capable, the accounting condition that the fare revenue must repay the total cost should be satisfied. Under this accounting condition, the optimal rate and scale which maximize the total surplus are requested, and their properties are examined. The analysis is practiced for both caces of flowindependent cost function and flow-dependent cost function. One remarkable result is that the maximum feasible scale under the accounting condition does not privide a maximum for total surplus.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1981-03-30
Volume volume15
Issue issue2
Start Page 165
End Page 185
ISSN 0475-0071
language English
File Version publisher
NAID 120002307222
JaLCDOI 10.18926/15785
FullText URL Mem_Sch_Eng_OU_19_1_33.pdf
Author Taniguchi Takeo| Soga Akira|
Abstract Numerical error in the solution of the band matrix method based on the elimination method in single precision is investigated theoretically and experimentally, and the behaviour of the truncation error and the roundoff error is clarified. Some important suggestions for the useful application of the band solver are proposed by using the results of above error analysis.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1984-11-26
Volume volume19
Issue issue1
Start Page 33
End Page 44
ISSN 0475-0071
language English
File Version publisher
NAID 120002307352
JaLCDOI 10.18926/15784
FullText URL Mem_Sch_Eng_OU_15_2_147.pdf
Author Nago Hiroshi| Kawara Osami|
Abstract In this paper, characteristics of hydraulics and water quality in Kojima Bay are discussed based on field observations. The main results obtained are as follows. (1) The variation of flow rate in Kojima Bay has periods for 30 minutes to 2 hours. This characteristic is represented by a two-dimensional numerical simulation fairly well. (2) The local distributions of salinity and suspended solids show increase in the direction to the mouth of Kojima Bay. On the other hand, the distribution of COD(Mn) is nearly uniform in the whole area of the bay. Salinity appears to be influenced by river discharge sensitively but suspended solids does not. (3) The vertical distributions of salinity and suspended solids are similar. There are similar points between the cross-sectional average of water quality and surface water quality. (4) The surface water quality seems to be influenced by the variation of velocity.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1981-03-30
Volume volume15
Issue issue2
Start Page 147
End Page 164
ISSN 0475-0071
language English
File Version publisher
NAID 120002308021
JaLCDOI 10.18926/15783
FullText URL Mem_Sch_Eng_OU_19_1_13.pdf
Author Nago Hiroshi| Maeno Shiro|
Abstract In this paper the theoretical method to analyse the pore water pressures in the sand bed under the oscillating water pressure is developed. In the former researchs the validity of the theoretical treatment for the one-dimensional problem has been verified. However, the one-dimensional treatment is not sufficient to obtain the precise informations concerning the many practical problems. From this point of view, in this study, we derive the fundamental equations for the general three-dimensional sand layer under the oscillating water pressure. The validity of this theoretical method is verified by experiments for the twodimensional problems.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1984-11-26
Volume volume19
Issue issue1
Start Page 13
End Page 32
ISSN 0475-0071
language English
File Version publisher
NAID 120002307347
JaLCDOI 10.18926/15782
FullText URL Mem_Sch_Eng_OU_15_2_133.pdf
Author Mori Chuji| Taniguchi Takeo| Kimoto Teruyuki|
Abstract From the theoretical approach to the fill-in minimization problem we present one of the optimal vertex elimination process for a regular finite element mesh M (nxn), and through a number of numerical experiments it is verified that the new process model can always lead to better numerical results comparing to other methods presently in use. Since the process here presented cann't give the actual dissections of M but can clarify how the optimal elimination is, the process includes George's Nested Dissection Method and the method by Duff, Erisman and Reid. By this investigation we can conclude that l) the concept of "Dissection" is neccessary for minimizing the number of fill-ins, 2) the location of the dissection lines can be systematically decided even if n of M is odd or even number, and though the interior area of M is dissected as George's Method, the surrounding area of M is rather irregularily dissected, and 3) the model of the vertex elimination process given in this paper is applied to other kind of regular finite element mesh or finite difference mesh, too.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1981-03-30
Volume volume15
Issue issue2
Start Page 133
End Page 146
ISSN 0475-0071
language English
File Version publisher
NAID 120002307564
JaLCDOI 10.18926/15781
FullText URL Mem_Sch_Eng_OU_19_1_1.pdf
Author Totsuji Hiroo|
Abstract Emission and absorption coefficients of bremsstrahlung by high-temperature partially degenerate electrons are calculated for high-density plasmas where Coulomb coupling between ions is not weak. It is shown that the ion correlation substantially reduces these coefficients.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1984-11-26
Volume volume19
Issue issue1
Start Page 1
End Page 12
ISSN 0475-0071
language English
File Version publisher
NAID 120002307955
JaLCDOI 10.18926/15780
FullText URL Mem_Sch_Eng_OU_15_2_119.pdf
Author Kaneda Masahiro| Akahori Ichiro| Egusa Masanori| Kuraoka Hiroaki|
Abstract A high speed and high accuracy simulator whose data-handling is light and whose weak stability is assured even for stiff systems is discussed. This work is a part of CAD package : CADPACS-T which has been under development for the purpose of designing control systems utilizing TSS of a large scale digital computer in our laboratory. This simulator realizes high accuracy, high computational speed and high reliability adopting A-stable extrapolation methods to transform into a difference system, a recursive formula of an output interval to solve the difference equation, automatic choice of an optimal step length such that minimizes an predicted error, and evaluating error bounds closely near the actual errors in the point of numerical calculation. Moreover, in the point of data management, this realizes separation of program modules from data, common utilization of data and separation of investigation from simulation.
Publication Title Memoirs of the School of Engineering, Okayama University
Published Date 1981-03-30
Volume volume15
Issue issue2
Start Page 119
End Page 132
ISSN 0475-0071
language English
File Version publisher
NAID 120002307465