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Kisaburo TAGUCHI
1955 Volume 21 Issue 111 Pages
765-766
Published: November 25, 1955
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Rokuro MUKI
1955 Volume 21 Issue 111 Pages
767-773
Published: November 25, 1955
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In this paper, the analytical method of the axisymmetrical problem of elasticity by Hankel transforms, which was succesfully used by Sneddon for various interesting problems, is extended to the general asymmetrical problem by the aid of the generalized Michell's stress function. Furthermore, the general method is used to obtain the solution for displacement and stress fields in a semi-inflnite elastic solid compressed by a rigid body with an arbitrary shape. Numerical calculation is carried out for a simple case and the distributions of stresses in a e1astic solid have been made clear.
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Yoitiro TAKEUTI
1955 Volume 21 Issue 111 Pages
774-780
Published: November 25, 1955
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The effect of a hole on stress distributions in an isotropic plate has been extensively studied both theoretically and experimentally by many writers, but no simple solving-method for practical examples has been obtained so far, although a method of solution for such problems has been given by Muschelisvili. The present author's method, however, will enable us to solve them merely by the boundary value problems of plane harmonic function ; that is, we first make the formulas as well as in the case of heat conduction or torsion problems. Appling this method we solved the problems of plate with a hole under many concentrated loads on the edge of the hole using by Delta-function which was first applied to the quantum mechanics by Dr. Dirac.
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Eiryo SHIRATORI, Shigeo SASAKI
1955 Volume 21 Issue 111 Pages
780-785
Published: November 25, 1955
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This paper describes the results of bursting and deformation tests of brass rotating disks. According to the experiments, the strain-path of a point in a disk was found to be approximately a straight line in the strain-space. Consequently the deformation-theory may be applicable to stress-strain relations in these disks, as well as in the case of aluminium disks. From this point of view, the approximate equation showing the relation between the number. of revolutions and deformation of the hollow disks with a uniform thickness made of a ductile materia1 was proposed, which is more convenient in calculation than those ever proposed. The results of calculations of deformations and bursting speeds for aluminium and brass disks coincide with experimental results fairly well.
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Tadasi ISIBASI
1955 Volume 21 Issue 111 Pages
786-791
Published: November 25, 1955
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Tensile strength of notched -plates or -bars decreases considerably as the absolute size of a specimen increases and an increase in tested size is known to be a potent embrittling factor. To find the reason why larger steel bars become brittle, tensile tests of round bars of various diameters (0.7∼50mm) were made. The percentage contraction of area showed marked size dependence. This is due to the fact that plastic deformation does not take place similarly in the specimen in accordance with its size. The stress distribution in the specimens under pull were studied by measuring residual stress in their unloaded state. In specimens, pulled to stress above the yield point, the stress distribution is severely uneven. The uneveness, however, decreases as the load increases and at the maximum load, which the specimen can hold up during the test, stress distribution becomes even. The stress at the necked portion of the specimen was discussed.
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Toshio NISHIHARA, Shuji TAIRA, Kichinosuke TANAKA, Kiyotsugu OJI
1955 Volume 21 Issue 111 Pages
791-795
Published: November 25, 1955
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The creep tests were carried out on low carbon steel at 450°C. The amount of strain recovery when the stress released was found to be approximately equal to the amount of the elastic strain. The strain rate showed larger value when the stress applied again and decreased gradually with the lapse of time, converging to the value at the test for the virgin state.
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Toshio NISHIHARA, Shuji TAIRA, Kichinosuke TANAKA, Kiyotsugu OJI
1955 Volume 21 Issue 111 Pages
796-800
Published: November 25, 1955
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The creep phenomena of low carbon steel subjected to unloading and reloading were examined at 450°C. The stress was interrupted when the strain reached ε
γ and imposed again after a period of time t
γ. The creep strain was found to increase compared to the value attained under uninterrupted load. For equal amount of ε
γ, the strain increment Δε can be expressed by Δε=alog(1+ct
γ) where a and c are constants, and Δε is found to decrease with the strain ε
γ.
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Heihachi SHIMADA
1955 Volume 21 Issue 111 Pages
801-804
Published: November 25, 1955
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In this paper, the stress distributions and factors of the stress concentrations of the flat bars having two circular holes of equal radii on the neutral axis in a field of pure tension were investigated photoelastically. Test pieces were made of phenolite and epoxy resin and the radii of two holes were made in three different kinds and the distance between them were made in six different kinds. The relations of the maximum stresses and a/b and a/c were explained, where a is the radius of holes, b is the constant breadth of bar, and c is the distance of the center of two holes. The maximum stresses of the flat bars having two circular holes were all lower than those of the flat bars having one hole of same radius.
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Kameichi YUASA, Mitsuo IWAZAKI
1955 Volume 21 Issue 111 Pages
804-811
Published: November 25, 1955
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This paper is presented with the aim of evaluating the scattered-light method and techniques avairable for analyzing the photoelastic stresses in stressed models. Many representative scattered light patterns for tensile member, simple beam, tension plate with a central circular hole, and uniform torsion bars with several cross-sectional forms are presented to illustrate characteristics of the scattered-light method. Relative phase retardation graphs for Epoxy resin simple beam, Epoxy resin tensile plate with a central circular hole, and Diallyl Phthalate resin uniform solid circular torsion bar are drawn. From these graphs We have determined the frozen stress sensitivity of Epoxy resin as f=44.7mm·kg
-1, and the stress sensitivitv of DAP resin at room temperature as f=0.732 mm·kg
-1.
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Gennosuke YOSHIMOTO, Tadasu TSUKIZOE, Susumu KIKUCHI
1955 Volume 21 Issue 111 Pages
811-816
Published: November 25, 1955
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When two mminally flat metal surfaces are brought together, they are held apart by small asperities and the real area of contact is composed of these several individual areas. It is essential for the understanding of the mechanism of friction and wear to find the number and size of the individual areas. In this paper the relationships between the applied load and the number or size of the individual areas can be deduced by assuming a simple model which represents the profile curve of metal surface. Also the influence of surface roughness on the distribution of the real area of contact can be deduced. These theoretical deductions are discussed in the light of experimental evidence ; e.g., the deduced relationships between the applied load and the electrica1 contact resistance are compared with the results of experiments.
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Moriya OYANE, Kohei KOJIMA
1955 Volume 21 Issue 111 Pages
817-823
Published: November 25, 1955
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As Calnan and Clews pointed out, the grains in the aggregate do not deform on simple slip system but on multiple slip systems, because deformation of the grains on simple system would create the gaps at the grain boundary, and this is known not to happen. Therefore, the constraints due to the surrounding grains produce the local stress, which must be such as to produce multiple slips and simultaneous rotation of crystallographical orientations of the grain. The deformation textures, deformation hysteresis, skin effect and Heyn stress can be explained from rotation and deformation of the grains. In Part I the behavior of each grain in the aggregate is explained.
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Moriya OYANE, Kohei KOJIMA
1955 Volume 21 Issue 111 Pages
823-829
Published: November 25, 1955
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The face-centred cubic metals deform plastically by means of slip along the direction <110> on the plane {111}. From this fact, we obtained theoretically the deformation textures of these metals, and the results are in good agreement with experimental results.
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Moriya OYANE, Kohei KOJIMA
1955 Volume 21 Issue 111 Pages
829-836
Published: November 25, 1955
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The deformation taxtures of titanium, zirconium and beryllium polycrystalline metals are explained theoretically from the slip and twinning mechanism in the grains contained. Good agreement with the observed textures has been obtained.
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Moriya OYANE, Kohei KOJIMA
1955 Volume 21 Issue 111 Pages
836-842
Published: November 25, 1955
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According to the experimentl results on the single crystals, the body-centred cubic metals deformed by means of slip to the direction <111> on the plane {110}, {112} or {123}. The deformation textures are derived theoretically from this fact by the same methods, which have been applied in the previous paper on the face-centred cubic metals. The results are in good agreement with the observed textures.
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Kaneichiro IMAI
1955 Volume 21 Issue 111 Pages
842-847
Published: November 25, 1955
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The elastic stress distribution and deformation of the rotating thick hollow circular disk having constant thickness is analysed. Expressing the solution of the elastic equation of the rotating disk, using cylindrical coordinates, in the form of Bessel functions and polynomials, the constants of solution are obtained, (a) to satisfy the following boundary conditions ; (i) surface shear of inner, outer and both end surfaces equals to zero, (ii) at outer surface σ
γ=2Gp
1, (iii) at inner surface σ
γ=0, (iv) at both end surfaces, ∫
γ1γ2σ
z γdγ=0, (b) to minimize |σ
z| max. at both end. Taking the numbers of term of polynomials to the infinite we are able to expect σ
z equals to zero at all points of the surface. Numerical calculations are carried out in the particular case where thickness is 2π cm, outer dia 6cm, innner dia 4cm.
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Atsushi KIUCHI
1955 Volume 21 Issue 111 Pages
847-853
Published: November 25, 1955
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This paper deals with problems of a vibration characteristics of a mechanical system With a shaft which is supported elastically. Such a problem, for instance, occurrs in a jet engine put on a wing of an aeroplane. Fundamental equations and their solutions are obtained and solutions for special cases are also given. The author shows how the natural frequencies of the machine are influenced by the rotating shaft inside them and how the natural frequencies of the shaft vary in response to conditions of the elastic supports. The cross section of the shaft is uniform.
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Toshio YAMAMOTO
1955 Volume 21 Issue 111 Pages
853-858
Published: November 25, 1955
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Since single-row radial ball bearings have "small angular clearance", a shaft supported by them has a non-linear and non-symmetrical spring characteristic provided the bearing center lines of both bearing pedestals are not in alignment. In a small angular clearance, a shaft is freely supported, and the inclination angle of the deflection curve of the end of the shaft grows larger than a small angular clearance, then the shaft is not freely supported. When bearing center lines of both pedestals are not in alignment, the equilibrium position of a shaft is not located at the middle position of a small angular clearance, then the shaft has a non-symmetrical non-linearity. Therefore, sub-harmonic oscillation of order 1/2 can occur. In fact, the whirl of shaft with the mode of sub-harmonic oscillation of 1/2 appears at a rotating speed higher than the major critical speed.
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Kiiti SATO, Akimitu YAMANAKA
1955 Volume 21 Issue 111 Pages
859-863
Published: November 25, 1955
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Hitherto, the experiments of free rocking motion have been conducted almost on wooden prismatic columns. In this paper, authors studied experimentally the free rocking motion by using the prismatic co1umn and floors made of various materials, so as to clearify the influence of the materials on the damping and period, etc.. Moreover, we experimented on two cases, that is ; (I) the block gauge and the optical flat were used as the prism and the floor respectively, as an example of good contact surfaces, (2) the mid-surface of base of prism was scraped very slightly for the purpose to reduce the influence of impact between the base of prism and the floor.
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Yo IKEBE
1955 Volume 21 Issue 111 Pages
863-868
Published: November 25, 1955
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In order to facilitate the measurement of frequency response, a frequency response recorder was newly devised. This recorder is constituted of two parts, one is a sine wave generator which is used to impose the input signal X sin ωt being accomplished with an eccentric disc rotating at the angular velocity ω ; another part is a rotating table at the same angular velocity ω on which the output signal of the system is recorded with a pen. If the output signal is a theoretically perfect linear simple harmonic oscillation whose neutral point corresponds to the center of rotation of the table C, the record on the table becomes a circle passing through C, then, the diameter and the position of the center of the circle indicate the amplitude of the output signal and phase lag angle with respect to the input signal, respectively.
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Akira NOMOTO
1955 Volume 21 Issue 111 Pages
869-875
Published: November 25, 1955
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This is a proposal of studying feedback control systems by means of Log-Root-Locus. Log-Root-Locus method is to pursue characteristic roots of a loop-transfer function on log s-plane instead of s-plane to the root-locus method. Log-Root-Locus is understood not only as one of phase loci as shown in Fig. 2, but as a project of the steepest descent line of log |G(s)| surface erected on log s-plane (Fig. 1). In practice, Log-Root-Locus can be plotted calculating ∠G(s) by (3·2) of which each ∠(1+Ts) is read simultaneously on los (1+s) chart (Fig. 3) used as Fig. 4, where P
i and Z
j correspond respectively to poles and zeros of G(s). Rules for it correspond to those of root-locus, but there are seversal rules specific to the Log-Root- Locus concerning symmetry (Fig. 7) and invertibility etc., which are advantageous1y utilized in plotting and also inducing a Log-Root-Locus of a certain function from that of another function. In the synthesis, characteristic roots can be found on Log-Root-Locus (Fig. 8), and corresponding gain can be calculated by (4·2) using again log(1+s) chart. Knowing gain constant, characteristic roots which sufficiently differ from leading one can be approximately calculated by (5·2) and (5·3) and using Fig. 9, magnifiedcentral portion of log(1+s) chart.
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Akira NOMOTO
1955 Volume 21 Issue 111 Pages
875-882
Published: November 25, 1955
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Analytical properties of closed-loop transfer functions can be investigated by Log-Root-Locus method and expressed by phase-loci and gain-loci (Fig. 12). For calculating indicial response, residues can be calculated by (7·5) and (7·6) on log (1+s) chart. Tangent of Log-Root-Locus and differential of gain along Log-Root-Locus give directly the phase and magnitude of the residues as (7·12) and (7·13) and a corrected protractor (Fig. 13) is conveniently used for measuring those values. Frequency response of closed-loop transfer function can be found either setting brake points at characteristic roots on Log-Root-Locus (Fig. 15) or directly calculating the gain and the phase for s=jw again using log (1+s) chart as Fig. 16. As an example, a simple servomechanism (Fig. 17) is synthesized by Log-Root-Locus method (Figs. 18 & 19), and its response characteristics are calculated (Figs. 20 & 21). Multi-loopsy stem is treated using successively Log-Root-Locus for each loop as in the case of root-locus (Fig. 22), of which a servomechanism with tachometric feedback is calculated as an example.
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Takeo YOSHIZAWA
1955 Volume 21 Issue 111 Pages
882-885
Published: November 25, 1955
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Toshio ASAEDA, Koji ONO
1955 Volume 21 Issue 111 Pages
886-889
Published: November 25, 1955
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Kiyoo KATO
1955 Volume 21 Issue 111 Pages
889-891
Published: November 25, 1955
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