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Tomoya OTA, Minoru HAMADA, Toshinori SAGIJIMA, Yoshitaka NISHIMURA, Hi ...
1962 Volume 28 Issue 188 Pages
421-427
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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The problem of the statical deflection of a rhomboidal plate with clamped edges subjected to uniformly distributed pressure, is studied in this paper on the basis of the energy method, which has been hitherto used in the natural vibration problem. As numerical examples, the deflection and the bending moments at the center of the plate, and the maximum bending moments along the edges are calculated for three oblique angles - 75°, 60° and 45°.
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Hironobu NISITANI
1962 Volume 28 Issue 188 Pages
427-430
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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Starting from Michell's stress functions, the author calculated the stress concentration factors of a shaft having infinite number of circumferential semicircular grooves under torsion. The linear combination of periodic functions is used so as to make notch surface free from surface tractions. The results show that a) Neuber's formula concerning the effect of interference of notches gives too great values of the stress concentration factors and b) the interference effects of deep notches are small.
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Hideo YAMANAKA, Kimio ONO
1962 Volume 28 Issue 188 Pages
431-437
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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The dog stays, consisting of a short stay bolt and a saddle shaped spacer having three legs, are often required for the reinforcement of the flat plate portions of pressure vessels when the ordinary stays are inapplicable due to the structural restriction of the vessels. The authors, carring out a series of experiments, could establish the designing formulae for the stay bolt and moreover make the following matters clear. (1) The stresses on the flat plate are decreased proportionately with the ratio of the legstretch circle to the periphery circle, except the stress concentration caused by the contact of legs to the plate. (2) The effect of the Stay for restricting deformation is very noticieable and proportional to the ratio mentioned above. (3) The diameter of the stay bolt can be so calculated as to support the one fourth of the area to be reinforced when the periphery is fixed.
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Minoru KAWAMOTO, Tsuneshichi TANAKA, Kenji OOKA
1962 Volume 28 Issue 188 Pages
437-444
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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Test results of cantilever type rotating beam fatigue tests on low carbon steel and Cr-Mo-V steel at room temperature, 300 and 500°C in a wide frequency range from 775 to 15000 rpm were summarized. It was found that in S-N diagrams the highest fatigue strength occurred at 7500 rpm for both steels at elevated temperatures, while in S-t diagrams, in which abscissa denoted the time to failure instead of the number of stress cycles, life time gradually decreased for higher frequency. Some irregularities were observed on the strength of low carbon steel at 300°C. It should be noted that the fatigue strength for a frequency higher than 10000 rpm decreased rapidly at elevated temperatures.
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Masuichi YASUDA
1962 Volume 28 Issue 188 Pages
445-451
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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With the model built-up crankshaft of mild steel, the diameter of its crank pin in 56mm, being used as a test piece, the fatigue tests under repeated bending were carried out to examine the fatigue strength of the crank pin, which was shrink-fitted. By changing the ratio of shrink-fit from 10×10
-4 to 30×10
-4, the notch factor against the shrink-fitted section was sought. As a result, it was found that within the range where the ratio of shrink-fit was smaller than 20×10
-4, the notch factor increased proportionately with the growth of the ratio of the shrink-fit. On the other hand, however, when the range of the ratio of the shrink-fit was larger than 20×10
-4, the notch factor world remain constant.
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Shuji TAIRA, Kazuo HONDA
1962 Volume 28 Issue 188 Pages
452-459
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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It has been reported by the authors that the estimation of fatigue life of the materials under constant stress amplitude can be made using the liner relation of b/B-log n/N (where B and b are the initial and the current half-value breadth of diffraction line in fatigue and n/N is the cycle ratio). In the present paper, the following experiments were performed; the first, the experiments were made on the case of varying stress amplitude of two stress levels above fatigue limit and investigated the change of half-value breadth due to varying stress amplitude. The second, the half-value breadth was measured by using satisfactory method in physical meaning and compared with the conventional method which has been adopted in these series of investigations. Finally, discussed on a change of half-value breadth under varying stress amplitude and postulated a certain method for nondestructive estimation of fatigue life.
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Shuji TAIRA, Fusayuki SUZUKI, Masaru YAMAGUCHI
1962 Volume 28 Issue 188 Pages
459-467
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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Relaxation, step down and creep tests were made at a temperature of 500°C to obtain relaxation characteristics of Cr-Mo steel and to its relationship to creep properties under constant load. The conclusion may be summarized as follows : Log-log plot of stress vs. plastic strain rate of relaxation consists of two straight lines. It was proved in both relaxation and also step down tests. At a higher stress range the strain rate depends on the initial total strain, but at a lower stress range its dependency is small, so that it is almost definite irrespective of the total strain. It may be said that the observed strain rate in a higher stress range corresponds to the transient creep and that of a lower stress range, to the steady creep. The correspondencies do not always exist because of creep recovery, which inevitably follows the stress decrease due to relaxation. All the methods, which have been so far presented to extrapolate the residual stress of relaxation are not exactly correct due to the lack of consideration of relaxation characteristics. Using the method by the present author, which is based on relation between stress and plastic strain rate, the residual stress can be correctly estimated.
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Nobuo TAKEDA
1962 Volume 28 Issue 188 Pages
468-474
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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The mechanism of distortion of gear teeth due to induction hardening was studied. Conspicuous plastic deformations take places on the teeth during this treatment and it is very difficult to make these deformations clear analytically. In the 2nd report it was stated for the induction-hardened small gears that the changes of the pressure-angles on both sides of teeth were different from each other and that the undulations of teeth traces occured. In the present report, the causes of these distortions were considered experimentally and an example of improved induction hardening coil was shown from this consideration. Further, the mechanisms of the distortions in width and thickness of teeth were considered and some explanations for the results of measurements of distortions, stated in previous reports, were given.
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Toshio YAMAMOTO, Hiroshi OTA
1962 Volume 28 Issue 188 Pages
475-485
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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The authors named the rotor having two unequal principal moments of inertia except the polar moment of inertia, "asymmetrical rotor", and studied the vibratory characteristics of the motions of the shaft carrying an asymmetrical rotor analytically and experimentary. The results are as follows : (1) The rotating shaft is statically unstable near its major critical speeds, and the unstable regions become wider as the degree of asymmetry gets larger and the damping forces are smaller. (2) The unstable region of the lower major critical speed vanishes as the mounting point of an asymmetrical rotor on the shaft comes to the center of the shaft. (3) There are 8 natural frequencies p
i, P^
-i(i=1, 2, 3, 4) in the free vibrations of four degrees of freedom system treated in this paper, and the relation p^
-i=2ω-p
i always exists. (4) As the degree of asymmetry disappears gradually, the natural frequency p
i approaches that of a symmetrical rotor, and the amplitudes E^
-, F^
- of free vibrations peculiar to P^
-i disappear. (5) The vibratory characteristics above-mentioned (1), (3), (4) except (2) of the shaft carrying an asymmetrical rotor are the same as those of the flat shaft carrying a symmetrical rotor.
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Osamu TANIGUCHI, Masaru SAKATA, Yasuyuki SUZUKI, Yasuo OSANAI
1962 Volume 28 Issue 188 Pages
485-492
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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Use of vibratory feeders is commonly seen in mass production fields for conveyance of machine parts or particles such as raw-materials. However, the principle how these particles are conveyed by vibratory motions, has not been thoroughly investigated. In this paper the motion of the particle fed by a sinusoidally oscillating plate of feeder is studied from a dynamical view point. The particle or the part is assumed to be a mass point for simplicity of analysis. When the amplitude of oscillation is small, the particle is conveyed by gliding motion on the surface of the vibrating plate. When the amplitude exceeds a certain value, the particle jumps up from the surface of the plate, so that in this case the procedure of feeding differs from that of jumpless case. Analysis covering the both cases is carried out and the validity is demonstrated experimentally.
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Akiyoshi TAMURA
1962 Volume 28 Issue 188 Pages
492-499
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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In order to clarify the vibration caused by a ball bearing the vibrations of the rotor supported by a journal bearing and a ball bearing are measured and analyzed and the components of the vibrations are classified into some groups. As the results, it has been found that the subharmonic vibration of the order one-half and the harmonic vibration caused by the passing balls and the nonlinear vibration due to the axial spring characteristic of a ball bearing, are basic one for the investigation on the vibration of ball bearing.
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Hirofumi MIURA
1962 Volume 28 Issue 188 Pages
499-505
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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Two-degree of freedom gyro is used as the position gyro of the high-speed air craft. The author measured the drift of air-driven two degree of freedom gyro to which the forced vibration about the vertical axis was given. He pointed out the following four items as the causes of the drift. (1) The effect of air to drive the rotor; When the angle between the axes of outer gimbal and of rotor is not rectangular, the air generates the torque about the axis of inner gimbal. (2) The effect of forced vibration; Forced vibration is given to the gyro through the bearings, having the characteristic of negative frictional resistance. (3) Unbalance of mechanism; It is obvious that this causes the drift. (4) The friction of rotor bearings; He compared the results of experiments with the theory, taking into account the causes mentioned above, and obtained the good agreement.
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Heiya YAMAMOTO
1962 Volume 28 Issue 188 Pages
506-514
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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In running plants, it is desirable to equip them with the heat flow meter not only for their operation but for their supervision. The meters for plant operation have been generally popular, but those for plant supervision have been hardly developed. In the future the importance of the meters for plant supervision may be gradually on the the increase. To contribute to the development of the meters for plant supervision, this heat flow meter has been made by way of trial. The heat flow meter with computing parts of link mechanism has certain characters as follows; (1) As the meters for industrial purposes, the accuracy satisfys the requirement. (2) The manufacturing and maintenance are easy. A sourse of electric power and an amplifier are not necessary. Therefore this meter is strong and inexpensive. (3) The design and adjustment are difficult. The speed of response is not quick, but the speed-up of response by the improvement of the detecting parts is possible.
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Yoshikazu SAWARAGI, Yoshifumi SUNAHARA, Takashi SOEDA
1962 Volume 28 Issue 188 Pages
515-521
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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In the previous paper, the authors already established an analytical method of evaluation of the response of nonlinear control systems subjected to a suddenly applied stationary random input. In this case, it must be considered that the response of nonlinear control systems becomes a non-stationary random signal. In order to take the time dependent characteristic of the response into account, the mean squared value of the response was considered as a function of time variable in our previous work. The equivalent linearization technique based on this consideration was introduced. The response of equivalent linear control systems constructed by using the linearization technique was evaluated by the socalled partition method. In this paper, a more advanced study, which contains the previous method as a special case, on the statistical evaluation of the response is developed.
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Yoshikazu SAWARAGI, Yoshifumi SUNAHARA, Takashi SOEDA
1962 Volume 28 Issue 188 Pages
522-526
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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In the paper, nonlinear control systems with time variant characteristics subjected to a suddenly applied stationary random input are considered. In the previous paper, the authors already established the method of evaluating the mean squared value of the response. Use is made of an extensive approach to the evaluation of non-stationary response established by the authors. In order to justify the analytical approach described here, analogue computer studies are also carried out.
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Taro SHIMOGO
1962 Volume 28 Issue 188 Pages
527-535
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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In this paper it is analized how the symmetrical nonlinearity of restoring force and the mean square value of a random loading have influence upon the mean square value and spectrum of displacement in a vibration system which has a single degree of freedom. In this analysis an iteration method is applied to solve the equation of motion, assuming the nonlinearity and loading to have small values, and the first approximate mean square value and spectrum of displacement are derived. In case of hard spring, the mean square value of deflection is smaller than that of linear spring, while in case of soft spring it is larger than that of linear spring. These results are remarkable at the system under heavy loading. The spectrum of displacement has a peak value at the higher frequency in case of hard spring and at the lower frequency in case of soft spring.
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Taro SHIMOGO
1962 Volume 28 Issue 188 Pages
535-541
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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In this paper the author analyzes the effects of the unsymmetrical nonlinearity of restoring force and the mean square value of a random loading on the mean square value and spectrum of displacement in a vibration system which has a single degree of freedom. In this analysis an iteration method is applied to solve the equation of motion, assuming that the nonlinearity and loading have small values, and the approximate mean square value and spectrum of displacement are expressed by an equivalent loading spectrum. The random loading is expressed by Fouries series, and in case of white spectrum and experiment is made by an analog computer.
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Taizo SAWAMURA, Hideo HANAFUSA
1962 Volume 28 Issue 188 Pages
542-550
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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In a servomechanism operated by the PWM mode, the output displacement contains the dither with the same period as the carrier pulse. When the gain constant of the feedback circuit becomes high, the dither component is feed back and the wave shapes of the output displacement are distorted. The wave shapes of the dither are dependent on the ratio of the time lag of the pulse transmission to the pulse period. In this paper, the stability of the dither of discussed for the case when the feedback circuit consists of a proportional element. The analytical results were verified by the experiments which were carried out with a two-stage electrohydraulic servomechanism operated by the PWM mode.
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Wen-Jei YANG
1962 Volume 28 Issue 188 Pages
551-558
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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This paper considers the indicial response of the temperature of the heat transfer surface and the bulk temperature of the fluid in a single-pipe heat exchanger. Step-wise disturbances imposed on the heat exchaner are : (i) the uniformly distributed, internal heat generation in the solid wall, (ii) the uniform wall temperature, (iii) the uniformly distributed, internal heat generation in the flowing fluid, (iv) the inlet temperature of the fluid, while a constant rate of heat is uniformly generated in the solid wall, and (v) the appropriate combinations of (i), (ii), (iii) and (iv). Analytical results have been obtained through the use of the Laplace transform technique. These results are presented such that the surface and fluid temperatures may be computed as a function of space and time, using three dimensionless mathematical functions.
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Yoshinori TSUNEKAWA, Jobu AWATANI, Kohei KOJIMA
1962 Volume 28 Issue 188 Pages
559-564
Published: April 25, 1962
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Specimens applied to tests were made of the Ziegler type polyethylene rolled and/or irradiated with gamma-ray from cobalt 60 under immersion in water and then were heat-treated in boiling water for one hour to stabilize the polyethylene materials. An Instron tester was employed to measure the yield points of all specimens at the cross-head speeds of 0.5, 3.0 and 20 cm/min at a temperature of 30°C. Concluding remarks are as follows : the yield point of polyethylene increases with increasing cross-hear speed, but the yield point ratio (which is defined as the ratio of yield point of irradiated polyethylene to the yield point of non-irradiated polyethylene) becomes smaller when tensile test is performed at higher speed than it is done at lower speed.
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Kiyoshi FUKUI
1962 Volume 28 Issue 188 Pages
565-568
Published: April 25, 1962
Released on J-STAGE: March 28, 2008
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