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Masuji UEMURA
1960 Volume 26 Issue 170 Pages
1317-1319
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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Takuo HAYASHI
1960 Volume 26 Issue 170 Pages
1320-1326
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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In the present paper, a new method of the experimental studies on the plane stresses in an orthotropic plate is explained and some results are shown. The plane stresses in an orthotropic plate are well known to be dependent on two aeolotropic constants inherent of the material and the experimental determination of the form factor as a function of them seems to be technically difficult. According to the new method, however, the stresses in any kind of the orthotropic plates can be determined experimentally from a few standard plate easily, and the accuracy of the results has been found good enough.
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Fujio NAKANISHI, Yasuo SATO
1960 Volume 26 Issue 170 Pages
1327-1332
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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In plastic deformation, it is generally assumed that the shear strains γ
1, γ
2 and γ
3 are proportional to the shearing stresses τ
1, τ
2 and τ
3. But the experiments by Lode and also the experiments by Taylor and Quinney show that this assumption is not correct. The way of deformation such as shown by experiments, however, is not yet accounted for. A new theory on plasticity has been advanced by the authors, and it was already explained that, not only the relation between plastic stresses under various states of stress, but also the forms of hysteresis curves, anisotropy due to plastic deformation, and the relation between the yielding of mild steel and the deformation beyond that could be well accounted for by this theory. As for the strain ratio relationship this theory also conforms very closely with the experiments.
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Minoru KAWAMOTO, Hiromi TAKAKI, Hidehiro KISIMOTO
1960 Volume 26 Issue 170 Pages
1333-1339
Published: October 25, 1960
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The conventional Bauschinger Effect is for static load. Is the similar effect valid for repeated load? In other words, is it true that the materials subjected to the pulsating load in one direction are easy to deform under the pulsating load in the reverse direction? If it is true, the phenomenon may be called as "Fatigue Bauschinger Effect". This paper deals with the deformation behaviour of materials under multiple repeated load, relating to the above proposed new idea "Fatigue Bauschinger Effect". The material tested is 0.34% carbon steel. The pulsating torsional stresses of 2×10
6 or 10
7 cycles are applied to the specimens in one direction and the reverse direction successively, and the strain of specimen is measured by an optical method during the course of fatigue tests. As the test results, "Fatigue Bauschinger Effect" was markedly observed at the stress slightly below the yield stress.
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George / Sines
1960 Volume 26 Issue 170 Pages
1340-1347
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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On unnotched specimens, fatigue failure criterion was proposed under a combination of alternating and static stresses. The fatigue test data were then examined to obtain a general fatigue failure criterion, especially on notched specimen with stress concentrations. It is pointed out that after the stresses have been found for the critical regions, a criterion which uses the applied static stresses and alternating stress must be used to predict whether they are safe.
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Shuji TAIRA, yasunori MURAKAMI
1960 Volume 26 Issue 170 Pages
1348-1355
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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Plate specimens of medium carbon steel (0.48% C) with sharp V notches on both edges were stretched so that the nominal tensile stress at the minimum section would have the values of 0.8σ
s and σ
s respectively. As the result of this plastic tension, residual compressive stresses are introduced around the notch root. These residual stresses were measured by the X-ray diffraction method and their changes due to the cyclic stressing in reversed bending were examined. In the fatigue tests, specimens with residual stresses were found to have higher fatigue limits and also prolonged fatigue lives over those without residual stresses, and these improvements were larger in proportion to the values of residual stresses. The growth of fatigue cracks was also investigated and it was clarified that residual compressive stresses had the effect of suppressing the propagation of fatigue cracks. Applying the theory of threshold stress to spread the fatigue crack presented by T.Isibasi, and basing on the change in residual stresses and on the crack growth curves, the contribution of residual stresses to the fatigue strength was calculated.
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Shuji TAIRA, Ryoichi KOTERAZAWA
1960 Volume 26 Issue 170 Pages
1356-1360
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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Dynamic creep and fatigue tests were carried out with a 13 Cr steel at the temperature of 450°C. The results were discussed from the standpoint of the analysis, which was presented by the authors previously, to predict the dynamic creep and fatigue strength from static creep or rupture data together with fatigue data under reversed stress. Satisfactory agreements were observed between the predicted and the exprimental strength values in the both cases of dynamic creep and fatigue. Under repeated stress, the strength was determined by creep and can be predicted from static creep or rupture data. In the case of alternating stress testing, where tensile and compressive stresses were applied alternatively, the strength was determined by fatigue and prediction was to be made using the fatigue data under reversed stress.
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Hiroshi NAKAMURA, Shiro UEDA
1960 Volume 26 Issue 170 Pages
1361-1368
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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To determine the fatigue strength of welded joints which is important in connection with design and manufacture of truck frame or axle and wheel, some brief plain bending fatigue tests were conducted on mild steel and high tension steel following Report 1, with the following results. (1) As high tension steel seems to be sensitive to notch, adequate care should be taken in the application of welding to this kind of steel, for welding is apt to leave unexpected shape defects on the surface of work. (2) Among various post-treatments, especially shot-peening was found effective for high tension steel. Annealing brought poor results for both of these materials, but a quite rough grinding of the toes, on the contrary, was effective to recover the fatigue strength. This fact should prove a useful hint for field workers. (3) From observation of the cracks developed in the vicinity of the toe, it was deduced that the condition in the direction of width of work should be considered to study crack propagation, in such cases as welding toes.
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Yoshito SEKIDO
1960 Volume 26 Issue 170 Pages
1368-1374
Published: October 25, 1960
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In the previous paper, the author justified his theoretical equations on the strength of bolt-connection under repeated load, comparing with the results of fatigue tests of the bolt connections clamped with machine-cut bolts, published hitherto. In this paper, he justified them to be suitable also for the bolt connections clamped with rolled-thread bolts in the light of the results of his fatigue tests of the bolt connection (thickness of abutment : 50 mm) clamped with rolled-thread bolts (outside diameter of thread and shaft of bolt : 10 mm) made of carbon steel (0.25% C) under repeated pulsating tension.
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Masao SHIBAHARA
1960 Volume 26 Issue 170 Pages
1375-1381
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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For the improvement on transmissional functions of roller chains, it is one of the most important matters to take measures for reduction of the own-weight of roller chains. From this point of view, in this report, we propose to take away the unnecessary parts of the pin-link plate stronger than the roller-link plate, and to reduce the own-weight of roller chains, as far as its maximum stresses increase to the maximum circumferential stresses produced at the eye-end parts of the roller-link plate. For the above purpose, two practical methods, i.e. reducing the plate-thickness and equeezing the form at the center of the pin-link plate, were examined by numerical calculations. Moreover, results of fatigue tests conducted on bicycle roller chains and standard roller chains for power transmission, which have each properly squeezed form at the center of the pin-link plates, indicate the appropriateness for squeezed forms of produced pin-link plates.
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Jobu AWATANI
1960 Volume 26 Issue 170 Pages
1382-1386
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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In the ultrasonic fatigue machine previously reported, it was necessary to adopt the test pieces contracted in the mid portion in order to induce the higher stress there, and a graphical method was required for the estimation of the value of stress induced. In this paper, the analysis of vibration of the contracted test piece at resonance condition is developed and some experiments related to this analysis are carried out. From this, the stress estimation can be easily and correctly done without the graphical complexity, if an oscillatory amplitude of only one point on the test piece is measured. As an application of this analysis, are obtained S-N characters for bearing steel and copper.
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Yasunori MURAKAMI, Toshio KAWABE
1960 Volume 26 Issue 170 Pages
1387-1395
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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Flat bar specimens of Epoxy Resin with a double notch on one edge were subjected to pure bending. The double notch consisted of a primary circular or 60°-V notch and a secondary U notch formed at the base of the primary notch. The effects of the root radius and the depth of the primary notch and also that of the depth of the secondary notch on the stress concentration factors were investigated. The stress concentration factor showed a nearly similar change to that of a single notch when the depth of the secondary notch was varied. This was also true in the case of the variation in the depth of the primary notch. As to the effect of the root radius of the primary notch, the stress concentration factor made a reverse change to that of a single notch. In all cases cxamined, the stress concentration factors of a double notch showed smaller values than the product of the respective stress concentration factor of a primary and a secondary notch.
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Ichiro NAKAHARA
1960 Volume 26 Issue 170 Pages
1395-1403
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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A cast iron roll formed into a hollow cylinder closed at both ends is used to roll plastics and its inner surface is heated by steam. Recently, a roll was longitudinally cracked owing to the rapid heating. In this paper, it is assumed that the temperature of inner surface of an infinite hollow cylinder is linearly elevated to working temperature, and the transient thermal stresses in an infinite hollow cylinder are caluculated. If the allowable stress of material is given, the heat condition of rolls is determined. Also, when a hollow cylinder is closed at both ends, it is shown that the stresses in the cylinder near the ends become larger than the stresses in an infinite hollow cylinder. In an example, if the allowable tensile stress of material is 4 kg/mm
2, it is found that a cylinder of inner radius 200 mm and outer radius 300 mm must be heated to 400°C in about 40 min.
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Tetsuya TSUDA, Tsutomu FUJINO, Akio HIZUME
1960 Volume 26 Issue 170 Pages
1404-1417
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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In designing steam turbine blades and analyzing blade failures, it is not reasonable to consider every possible resonance to be equally harmful, and we must find out which is harmful under giving condition among all possible resonances. In this report, the coefficients of normal mode of tangential flexural vibration of a group of several blades are obtained by the Rayleigh method, and it is proved that resonant response characteristics depend on 1). number of blades per group, 2).'blade pitch'/'pitch of pulsating steam force', viz. D'/D, and 3). normal mode ; and resonant response characteristics are represented quantitatively in the form of dimensionless function named by the author as "timing factor". As the result, it is found that when D'/D is not close to zero or integers, a remarkable "effect of decreasing amplitude by grouping" is produced on the resonance of fixed free type mode, and on the contrary, an "effect of increasing amplitude by grouping" is produced on the resonance of fixed supported type mode ; and also it is found that an analogy is applicable to axial flexural vibration and torsional vibration. Hence, it is found that the failures of short blades which we experienced are attributable to the resonance between nozzle wake and "tangential flexural first order fixed supported type vibration "or" axial flexural first order vibration having many nodes on shroud".
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Tomoya OTA, Minoru HAMADA, Takuji TARUMOTO
1960 Volume 26 Issue 170 Pages
1417-1421
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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Fundamental frequencies of isosceles-triangular plate with all edges clamped or with two equal edges clamped and the base edge supported, are calculated in this paper by means of the energy method. Numerical results calculated here are considered to be within the accuracy required for practical purposes, and they can be checked by experiments.
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Tatsuo CHUBACHI
1960 Volume 26 Issue 170 Pages
1421-1428
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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Theoretical and experimental investigations have been carried out on the flutter characteristics of low pitch rotary wings. It has been found that, the mode of oscillation is purely pitching at the incipience, and the ratio of frequency to rotary speed always takes values of integer and some definite fractions, which are related to the number of blade indifference of other conditions. And it seems rather contradictory from the standpoint of usual two dimensional treatment of unsteady airfoil motion which presumes the infinite row of wake vortices. To interprete the phenomena the auther proposed an assumption that the wake is interrupted by the rear blade. The simplified formula about the reduced frequency thus derived, has been sufficiently verified by the rotor experiment.
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Akiyoshi TAMURA, Osamu TANIGUCHI
1960 Volume 26 Issue 170 Pages
1428-1434
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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The vibration of ball bearing caused by the passing balls appears in both radial and axial directions. In the first report the authors dealt with the radial vibration. The cause and the phenomena in the case of the axial vibration are complicated. In the second report the authors described the subharmonic vibration of the order 1/2 caused by the passing balls and showed that the axial motion became unstable for a certain region of the rotational speed. In this paper, firstly it is proved that the axial vibration of the order 2/2 caused by the pasing balls becomes unstable in the case where the number of balls is a few and for the ball bearing having many balls such motion does not appear. Secondly in the case where the outer race is slightly inclined toward the shaft it is proved that the axial vibration of the order 2/2 caused by the passing balls produces the motion like a forced vibration and shows the resonant phenomena.
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Koshiro KUROKI
1960 Volume 26 Issue 170 Pages
1435-1443
Published: October 25, 1960
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In the former report, the author had analyzed the cone indentation hardness by the condition of balancing between indenting load and the stresses at the contact surface. In this paper, the ball indentation hardness is cralified from the same point of view assuming the contact pressure on the basis of the results for several kinds of punch indentation. To check the theoretical relations between the indenting load, ball diameter, yield stress of specimen and the depth or the diameter of indentation, indentations were made upon many kinds of specimen with different hardness. From this relations, both the theoretical conversion between H
R or H
RT and H
V, between H
B and H
V, between H
R or H
RT and H
B, and the equations of errors of H
R or H
RT arisen from the errors of load and ball diameter were induced. At last, the Meyer's law was studied theoretically by this relation.
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Yoshikazu SAWARAGI, Hajime AKASHI, Tsuyoshi OKADA
1960 Volume 26 Issue 170 Pages
1444-1450
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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In this paper, we discuss the limit cycles and the transient response of on-off control systems operating on sampled data. The controlled element of the system treated in this paper, is of the second order and the damping ratio is less than unity. In this case, there exist several kinds of stable limit cycles and which limit cycle the system enters into, depends only on the initial conditions. The graphs for finding these limit cycles and their amplitudes are shown. The method of obtaining the transient response of the system to step or ramp input is also introduced. The experiment was carried out and the result has been found in good agreement with that of the analysis.
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Yoshikazu SAWARAGI, Narinobu SUGAI, Matuzo KIMURA
1960 Volume 26 Issue 170 Pages
1451-1460
Published: October 25, 1960
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This paper describes two graphical methods for the analysis of an automatic control system containing an asymmetrical nonlinear element of zero-memory type for a stationary random input distributed normally with mean zero. The methods are of the following two types. Firstly, we assume that the input to the nonlinear element consists of a stationary random portion and a constant portion. But if the linear part of the control system has a pure integral characteristics, the assumption made above becomes irrational. Nextly, we assume that the input to the nonlinear element consists of two random portions, one with normal distribution and the other with a spectral density around zero frequency. In order to compare the results obtained by the above mentioned two methods, one example is shown.
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Seiichiro MAEZAWA
1960 Volume 26 Issue 170 Pages
1461-1474
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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A method of obtaining generally a perfect Fourier series solution of the response of a feedback control system with a piecewise-linear element subjected to sinusoidal input is devised. The piecewise-linear characteristics treated in this paper are confined to those which are symmetrical and consist of three linear regions divided from each other by two given opposite values of input. The dead zone element, the element with saturation characteristics, and the relay-element without hysteresis are included among those with this kind of characteristics. The determination of the sought for Fourier coefficients is reduced to the solution of an infinite set of simultaneous linear equations, which can be transformed into new ones of improved convergency by means of an appropriate series transformation. As an numerical example, the results of analysis in the case of a dead zone element are given and compared with the results by means of the describing function method and those of the analog computer.
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Tatsuo MITSUMAKI
1960 Volume 26 Issue 170 Pages
1475-1482
Published: October 25, 1960
Released on J-STAGE: March 28, 2008
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If a control system has a dead time, it is difficult to control this system and even the application of the derivative control action is no longer effective for controlling the system with a pure dead time. The optimum nonlinear control for the system having a dead time can be obtained by switching the manipulated variable using four switching curves in the phase-plane, however the adoption of this method implies the increase of the complexities of the controller. On the other hand, if the control system has a dead time, the nearly optimum performance can be realized by simple relay control action. In this paper, the effectiveness of the simple relay control action for the system having a dead time is shown and the comparison between the response time of this system and that of other two nonlinear control systems is also presented.
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