Transactions of the Japan Society of Mechanical Engineers
Online ISSN : 2185-9485
Print ISSN : 0029-0270
ISSN-L : 0029-0270
Volume 20, Issue 99
Displaying 1-17 of 17 articles from this issue
  • Teruyoshi UDOGUCHI
    1954 Volume 20 Issue 99 Pages 685-686
    Published: 1954
    Released on J-STAGE: March 28, 2008
    JOURNAL FREE ACCESS
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  • Osamu TAMATE
    1954 Volume 20 Issue 99 Pages 687-692
    Published: 1954
    Released on J-STAGE: March 28, 2008
    JOURNAL FREE ACCESS
    In this paper, the problem to determine the deflection and stress in an infinite strip with a circular hole, subjected to uniform transverse bending, was investigated by using the Poisson-Kirchhoff theory. The parametric coefficients included in the function which expressed the deflection of the plate, were determined by successive approximation. Numerical calculations about the distribution of deflections and stresses along main parts of the strip were also carried out, so as to clarify the effect of the hole in this problem.
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  • Akira ATSUMI
    1954 Volume 20 Issue 99 Pages 692-699
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    In this paper, a problem to determine the distribution of stresses in an infinite strip under pure tension applied at infinity, provided two circular holes of equal radii are placed in the strip on each side of its neutral axis symmetrically, is treated analytically with the aid of the stress functions obtained by Howland, however, it seems to the writer that they require somewhat correction. Considering the results obtained in the present research together with those of the photoelastic one published already by Prof. Shinji Fukui and Mr. Katsuhiko Ito, for the same problem above mentioned, in the Report of The Scientific Research Institute, 1948, some characteristic properties in regard to the distribution of stresses are pointed out and discussed somewhat in detail.
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  • Akira ATSUMI
    1954 Volume 20 Issue 99 Pages 699-706
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    A number of investigations, both experimental and theoretical, have been made to determine how the presence of circular notches in a uniform plate under given applied forces effects the distribution of the stresses in the plate. Here, some functions are determined with the object of providing a formula avairable for the solution of generalized problems on the strip with circular notches. The only restriction is the symmetry of the boundaries and the conditions on theme. Using these functions and applying the formula introduced, the problem of the symmetrical strip with semicircular notches under a uniform tension is treated theoretically. Although several researches were performed analytically on this problem, these results obtained were different. The writer thinks that the stress concentration obtained in this paper agrees with Makoto Ishida's. No numerical work is included but the necessary functions are determined for other some problems.
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  • Kazue YAMADA
    1954 Volume 20 Issue 99 Pages 707-715
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    Bending problem of the rectangular flat plate with three clamped edges and one free edge is investigated in the cases of distributed load such as uniform, increasing linearly to the free edge, or decreasing linearly to the free edge. The solution is obtained by the proper combination of five kinds of Levy solution. The distributions of clamping moment, supporting reaction, deflection and their maxima are calculated for five forms of plate including a square.
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  • Noboru YAMAKI
    1954 Volume 20 Issue 99 Pages 715-721
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    Continuing the 3 rd Report, the buckling problem of a rectangular plate under loads uniformly applied over the central portion of the two opposite edges is investigated theoretically. As the method of analysis, the same procedure as used in the 3 rd Report is employed. In this report, the problem is solved for the following two cases where the loaded edges are always clamped and the other edges are simply supported or clamped. In each case above mentioned, the critical values of concentrated forces for rectangular plates with various aspect ratios and those of locally distributed forces applied on a square plate are calculated and the results are tabulated and discussed.
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  • Hideo SAITO
    1954 Volume 20 Issue 99 Pages 722-726
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    In this paper, the stress distributions in a circular shaft press-fitted with a collar when the shaft is twisted around its axis are investigated. We assume that there is no slip over the contact surface of the shaft and the collar. Of course in the case of press-fitting, the contact pressure arises in the contact surface and by this pressure the slip between the shaft and the collar is prevented. However in this paper, we think only of the displacement due to twist and clarify the effect of the collar in the present problem.
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  • Yoshio WATANABE
    1954 Volume 20 Issue 99 Pages 727-732
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    In this paper, taking the case of a uniform load distributed over an elliptical area of the plane boundary, displacements of a point on the surface of the body are considered. Displacements of any point (x, y, 0) are given by the equations [numerical formula] where λ and μ are Lame's constants, r is a distance of a point (x, y, 0) from the point (ξ, η, 0), and the double integrations are taken over the elliptical area subjected to pressure. The horizontal components u, v are easily solved, but the normal component w can only be represented approximately. The case of a uniform load distributed over the area of a circle of radius a has already been obtained, whose results coincide with the special case of this problem, e=0 (e : eccentricity of the ellipse). As numerical examples, displacements of points on the axes of the ellipse are calculated, and plotted in figures. From these results, we conclude that for a point within the ellipse horizontal components u, v are proportional to x, y respectively, directing inwards, taking maximum values on the circumference, on the contrary, the vertical component w is maximum at the center, and decreases outwards.
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  • Shuro MACHIDA
    1954 Volume 20 Issue 99 Pages 733-738
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    In this report, the behaviour of the effect of both of specimen thickness and pressing force on Shore hardness number was investigated. Under the general requests for the testing with the Shore scleroscope being satisfied, and especially attending to free from the effect of velocity of the operating handle with consideration of the results of the 1 st. report, using many specimens which were different in hardness or in material, hardness numbers were measured with varieties of thickness of specimens from 10 to 0.1 mm and of pressing force from 0 to 60 kg. As the results, the behaviour of this effect is influenced strongly by specimen thickness and pressing force acts supplementarily upon it. Critical pressing force is constant over a certain thickness of the specimen, and decreases according to thickness under that thickness, and still more, such a special point as called critical pressing force vanishes soon in successive range. The range of specimen thickness and pressing force to gain constant hardness numbers in this condition was represented. But, from a practical point of view, it is desirable to apply critical pressing force and critical thickness represented in the 2 nd. and the 3 rd. reports respectively.
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  • Hisashi OUCHIDA, Sho KUSUMOTO
    1954 Volume 20 Issue 99 Pages 739-745
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    The purpose of this paper is to investigate the effect of such defects as minute thermal cracks, ghost cracks and non-metallic inclusions situated with machine parts on its tatigue strength. Steel specimens were made with artificially produced cracks by forging. The test results under rotary bending are follows. 1. Fatigue Strength of the specimen with axial crack decreases slowly as the length of crack increases and is about three times as strong as the round crack specimen. 2. Fatigue strength of the specimen with partial circumferential crack decreases rapidly in comparison with axial crack and approches to that of round crack specimen as the length of crack increases. 3. Fatigue strength of circumferential round crack specimen decresses no more rapidly as the crack deepens more than 0.5 mm and it is appreciated that the round crack specimen has characteristic fatigue strength for the material. It was found that artificial cracks are less detrimental under repeated torsion than under rotary bending with out distinction of its direction, axial or circumferential.
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  • Fumiki KITO
    1954 Volume 20 Issue 99 Pages 746-749
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    The Author has made a theoretical calculation on strength of a water gate, which is relatively long in horizontal direction. For a slender gate, the distribution of bending moment and deflection along its length can approximately be obtained by treating the problem as that of equilibrium of a straight bar. The external force P, being the resultant force of hydraulic pressure, its point of application do not necessarily coincide with the shear-center of crosssection of the gate. The contact between the lower battom and the sill is not perfectly rigid. Here, we assume that there is set up a reaction force of amount R=Kη where η is the deflection at the battom of the gate, K being a kind of spring constant. On these assumptions, the Author has made an equation of equilibrium, taking into account the bending and twisting of the gate, and obtained a linear differential equation of sixth order which is satisfied by the displacement y of shear-center of cross-section of the gate. Solving this differential equation, the displacement y and bending moment M were obtained. Some numerical example showing the effect of the value of spring constant K upon the strength of the gate is given.
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  • Toshio YAMAMOTO
    1954 Volume 20 Issue 99 Pages 750-755
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    Owing to the difference of diameter between each ball in a bearing, the center of inner ring is slightly deviated from the axis of rotation of shaft. The balls revolve with a constant angular velocity ω11ω round the center of inner ring, wherein ω is the angular velocity of shaft. The balls being rotated, the direction of this deviation of inner ring is revolved with the same angular velocity ω1. If the natural frequency of shaft is equal to ω1, this small deviation is sufficient to cause the critical speed to occur which has the circular frequency ω1. In common types of ball bearings, the value of 1/α1 is larger than 2, so this critical speed is higher than the major critical speed. The amplitudes of vibrations in this critical speed depend on the amount of the difference of ball diameters.
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  • Toshio YAMAMOTO
    1954 Volume 20 Issue 99 Pages 755-760
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    Together with the critical speed mentioned in part 1, there is another critical speed due to the difference of ball diameters in bearings. Considering the condition of a shaft supported at ball bearings which have the difference of ball diameters, the shaft is not equally stiff in all directions. Obviously this non-uniformity of the stiffness of a shaft revolves with an angular velocity of ω1 which is the angular velocity of balls round the center of inner ring. Owing to this non-uniformity of a shaft rigidity rotating with ω1, the critical speed the motion of which is the backward precession with the circular frequency β1ω occurs, ω being the angular velocity of a shaft. The value of 1/β1 is -4.1∼-4.2 when the self-aligning doublerow ball bearings with 10 φ bore are used.
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  • Atsushi WATARI, Tsutomu GOMI
    1954 Volume 20 Issue 99 Pages 761-765
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    In order to investigate the accuracy of approximate solutions for nonlinear vibrations, the complete and approximate solutions were analysed for the forced vibration of a single-degree-of-freedom-system with hysteresis characteristics consisting of a parallelogram. The system was selected so that the complete solution might be obtained. Summarizing the results, the approximate solution is considerably accurate in the vicinity of the resonance point. Under some conditions of hysteresis characteristics, the resonant amplitude becomes infinity in the approximate solution, although it is finite in the complete one. There is some difference between these solutions as to the frequency ratio and the amplitude ratio at the resonance point where finite amplitude exists.
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  • Yoshikazu SAWARAGI, Toshiki TANAKA, Toru TAKINAMI
    1954 Volume 20 Issue 99 Pages 766-770
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    In case the non-linearities are kept containing in the control circuit elements, the stationary oscillation which has the circular frequency and the amplitude determined by the nonlinear characteristics and the chasacteristic value of the circuit occurs. We hereby consideded the dead zone and saturating characteristics in the relay of pilot valve type, and found, by means of analysis and experiment, the stationary oscillation induced in the control circuit by the above characteristics in the circuit having the controller of the three types ; that is, integral, proportional and proportionl integral action. Thus it will be possible to observed the effect of the non-linear characteritics on the stability of the automatic control circuit.
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  • Koichi SAITO
    1954 Volume 20 Issue 99 Pages 771-777
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    The mechanical properties of metals overstrained, for instance the yield stresses and the macroscopic stress-strain relations of rolled sheets, vary with directions. In R. Hill's theory on this matter, the internal stresses which result directly from the differential orientations of the grains were neglected. But, in pactice, the metals are often used in the work-hardened states without any heat treatment. The author performed the experimental studies on anisotropy produced by plastic deformation. At first, he obtained the tensile stress-strain curves of the specimens cut out in various orientations from the metal plate which had been over-strained by tension. And so he found the three principal factors which governed anisotropy produced by plastic deformation, and made the qualitative explanation of them.
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  • Koichi SAITO
    1954 Volume 20 Issue 99 Pages 777-783
    Published: 1954
    Released on J-STAGE: March 28, 2008
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    From the experimental facts reported in Part 1, the author anticipated that if the metals previously over-strained by shear in one direction are tested by shear in various directions, some properties of anisotropy produced by plastic deformation will be more evident than the results of the experiments in Part 1. When a thin-walled tube is subjected to the combined loading of external hydraulic pressure and axial tension, if the absolute value of circumferential stress equals to axial stress, the tube is under the pure shear in the direction of 45 degrees to its axis. Using this stress-condition and the stress-condition of torsion the author tested the anisotropic properties for shear of the metals over-strained by shear. The results of these tests confirmed the author's anticipation, and made his idea as to anisotropy of work-hardened metals more reliable.
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