Transactions of the Japan Society of Mechanical Engineers
Online ISSN : 2185-9485
Print ISSN : 0029-0270
ISSN-L : 0029-0270
Volume 23, Issue 127
Displaying 1-27 of 27 articles from this issue
  • Kichiji NISHINO
    1957 Volume 23 Issue 127 Pages 113-114
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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  • Noboru YAMAKI
    1957 Volume 23 Issue 127 Pages 115-119
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    Theoretical stress distribution in a rectangular plate under various loading conditions has been generally solved by Okubo but because of its complexity, the numerical calculation is restricted to the special typical cases. In this paper, the solution for the title above cited is directly derived and the numerical calculations are carried out for various values of aspect ratio β, i.e., β=0.5, 0.75, 1, 1.5, 2 and 3. The results are ascertained to be in good agreement with the experimental ones obtained by Shimada through using the photoelastic method and also by the author using resistance strain gauges.
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  • Kazyu MIYAO
    1957 Volume 23 Issue 127 Pages 120-123
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    In this paper the stresses in a circular disk with an inscribed circular hole have been determined when the disk has cosine-distributed load in the direction of right angles to the line of centers along inner edge, the outer edge being unstressed. The stress function concerned has been constructed by means of an even integral solution of biharmonic equation in the crowded circular coordinates. The parameters involved in the solution have been determined from the given boundary conditions with the aid of Fourier transformations. The expressions of the stress along the edge have been derived.
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  • Yoitiro TAKEUTI, Takasi YURIKAWA
    1957 Volume 23 Issue 127 Pages 124-130
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    In recent years a great number of papers have been published about the stress concentration of the plate produced by a hole, but no simple general method has yet been shown. Muschisvili has Shown that a general solving method may be given with the help of complex variables. It appears that it is theoretically posible to determine the edge-stress except a difficulty to decide the mapping function. For practical calculations, however, it is necessary to obtain the information of the functions of complex variables, so it is inconvenient for engineers to apply to the problems. In a previous paper Takeuti has shown some very simple formulas for such problems solved merely by the boundary value problems of the harmonic functions. Substituting the mapping function into Takeuti's formulas, in this paper, we solved new tractical examples in order to verify the accuracy and the utility of these formulas. Numerical works are carried out for the stress concentration at the periphery of a cruciate hole in a plate under many concentrated loads acting on its periphery or under uniform tension.
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  • Yoitiro TAKEUTI
    1957 Volume 23 Issue 127 Pages 131-136
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    Recently Muschelisvili has given a general method for solving problems of two-dimensional elasticity by means of the mapping function of unit circle. His method, however, is very difficult and needs many mathematical processes, so it is inconvenient for engineers to apply it to the problems. In the present paper, we obtain a simple general solving method using the same mapping function of unit circle. Thus we solved several practical problems applying this method.
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  • Toshio NISHIHARA, Toshiro YAMADA
    1957 Volume 23 Issue 127 Pages 136-141
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    The fatigue tests under varying repeated stresses which consisted of two different bending stresses (the first and second stress waves), were carried out by the specially designed testing machine, using notched specimens of 0.22%, 0.61% carbon steels and super duralumin. These test results were analyzed by the calculating method given to predict the fatigue life of metallic materials subjected to varying repeated stresses like this. And the following are concluded : (1) The analytical fatigue life of 0.22% carbon steel and super duralumin under stresses like this has a good agreement with the test results. (2) In the case of 0.61% carbon steel, the second stress wave has no influence on the fatigue life when the ratio of the second stress wave to the first stress wave, λ, is smaller than about 0.8, and the analytical fatigue lives have a good agreement with the test results only when λ is greater than about 0.8.
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  • Masuji UEMURA
    1957 Volume 23 Issue 127 Pages 142-147
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    A phenomenological fracture hypothesis or criterion of metals is presented on the premise that there exist generally two fracture stress surfaces for ductile shear fracture and brittle tension fracture in metals. Two major factors which effect on fracture, that is, triaxiality of stress and plastic strain up to fracture are formulated in this criterion using linear invariant of stresses and quadratic invariant of strains respectively. The fracture stresses obtained by the method presented for predicting those of various materials under combined stresses agree well with previous experimental values, also with the fracture modes. The problems of the low temperature brittle fracture and the effect of prestrain are explained qualitatively from a consideration of temperature characteristics of fracture stress surfaces. An analysis of stress and strain distributions which is to be necessary for an application of this criterion to notch brittleness will be given in the 2nd Report.
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  • Masuji UEMURA
    1957 Volume 23 Issue 127 Pages 148-154
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    In the 1st Report, the author presented a phenomenological fracture criterion of metals explaining the polyaxial fracture test results of various kinds of metals. It would result from the unknown stress and strain distributions together with the obscure fracture criterion that the problem or practical notch brittleness remains unexplained quantitatively. In this sense, tensile fracture tests of mild steel round bars having various grades of notch sharpnesses were urformed, and stress and strain distributions in the minimum section were analysed approximately with their average fracture values measured precisely by electric strain gauges. Since the plastic stress distribution has not such sharp stress gradient as the elastic one, it would be reasonable to apply the fracture criterion to each point on the fracture section. Consequently, basing on the idea that there exist the shear and tensile fracture modes, various fracture behaviors were able to be well explained and a view as to the notch brittleness was given.
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  • Toshio NISHIHARA, Shuji TAIRA, Kichinosuke TANAKA, Masateru ONAMI
    1957 Volume 23 Issue 127 Pages 154-159
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    In this paper, an empirical formula is introduced concerning with the relation between transient creep rate, stress, and temperature at the primary creep of mild steel. Experiments are made on 0.14% carbon steel to verify the formula, and it is found that the formula can be applied to fairly wide range of stress and temperature. Concerning the graphical representation of the formula, the availability of "Master creep curve", proposed by F.R.Larson and J.Miller, for the primary creep of mild steel is discussed.
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  • Seiji KONDO
    1957 Volume 23 Issue 127 Pages 160-166
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    This is a report of an experimental study for the lateral buckling of a narrow rectangular cantilever beam with an end load. These experiments were carried out systimatically in a wide range of the beam dimension. As test pieces, thin plates of mild steel and aluminum were used and they vary in the heights of cross sections and the spans of beam. From the results obtained, we have been able to decide the range of beam dimension applicable to the theoritical formula of the buckling load, and also to establish experimental formulae for such range as does not conform to the old formula.
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  • Seiji KONDO
    1957 Volume 23 Issue 127 Pages 166-172
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    In the experiment of lateral buckling of a beam we generally experience some difficulties in determining the buckling load, since the deformations gradually increase even in the vicinity of the critical load. To overcome these difficulties in the determination or the critical load, a method is proposed which can be induced from the relation between the load and deformation of the beam end. For the commonest deformation, this method gives satisfactory results in the light of the theoritical load for buckling. When the dimension of the beam runs to an extremity, very often different types of deformations appear. This paper further describes the deformations found in the beams of various dimensions. These are classified into three types, namely common, uncommon, and bending yield types. Mention is also made of the relation between each type of deformation and beam dimension, of the method of determining the buckling load and of the results gained thereby.
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  • Minoru HAMADA
    1957 Volume 23 Issue 127 Pages 172-179
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    The problem of rectangular plate with clamped edges is treated here by making use of the double Fourier cosine series. The principle of Energy Method is applied, thereby boundary conditions are considered as constrained conditions in the calculus of variations. Then, by the orthogonality of trigonometric functions, most of numerical calculations are carried out on tables, and many types or problems-free and forced vibrations, statical deflections, bucklings and others-can be solved easily.
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  • Minoru HAMADA
    1957 Volume 23 Issue 127 Pages 180-183
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    An approximation method for a flat plate with large deflection is proposed : firstly the deflection and bending stresses are calculated, assuming the radial membrane stress to be distributed uniformly, then membrane stresses can be obtained by using the result of the deflection. Computations are carried out for the uniformly loaded circular plates with edges clamped or supported. The deflections and stresses agree with the exact solutions within the accuracy required for engineering purposes.
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  • Satoshi MIKI
    1957 Volume 23 Issue 127 Pages 184-189
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    The fatigue specimens of plate beams were prepared from celluloid, phenolite and epoxy plates. Effects of the fatigue on mechanical properties of these rigid high polymers under the repeated uniform bending moment were studied by the photo-elastic experiment. The results are as follows : (1) The deformation and the fringe order which appears in the bending fatigue increase with fatigue progress. (2) Te photo-elastic sensitivity increases by the effect of fatigue. And this behaviour of fatigue of these materials is more remarkable under the compressive stress than under the tensile stress. (3) The notch has also great effect on the fatigue. (4) The top of the crack which undergoes the repeated stress is of a trapezoid form. (5) Celluloid of which the plastic flow is remarkable is superior to others on the fatigue.
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  • Yuich KAWADA, Hajime NAKAZAWA
    1957 Volume 23 Issue 127 Pages 190-193
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    In the previous papers, the authors reported the results that there exists a considerable increase in fatigue limit of the specimens of 2 sorts of steel with V-notch formed by coldrolling compared with the one of the specimens with V-notch formed by cutting off. In this paper, they tried to explain the extent to which the fatigue strength is effected by the low temperature annealing by experiment on the round steel (S 25 C) bar with rolled V-notch. That is to say, when the duration of annealing was taken to be 24 hours, the best results was acquired at the annealing temperature of 80°C, increasing the fatigue limit by 20% compared with those which are not annealed, and when the aging was done at 200°C, 30 minutes, the fatigue limit was increased as almost high as that annealed 24 hours at 80°C. The variation in hardness due to aging ressembles to the variation in fatigue limit due to aging, and the aging condition giving the maximum fatigue limit is the same with the condition by which the maximum hardness is given.
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  • Hajime NAKAZAWA
    1957 Volume 23 Issue 127 Pages 194-198
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    The analogical methods to solve the Laplace or Poisson equation are very useful and important in applied mechanics. In this paper, the author triea to solve the torsion problems with electrical analogies by the conducting sheet with uniform surface resistance. The resistive paper is better than the electrolyte of electrolitic tank method as to handling, but it is difficult to obtain the paper with uniform resistance. For experimental example, the torsion of a square bar with a concentric circular hole is tested and the results are compared with the results given by another investigators.
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  • Tatsuo CHUBACHI
    1957 Volume 23 Issue 127 Pages 198-204
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    Continued analysis was performed for the lateral vibration of an axially moving linear material. The boundary conditions are assumed constant curvature at two points supported by pullies. An algebraic method of analysis gives a simplified relation of parameters concerning the mode of vibration.
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  • Tatsuo CHUBACHI
    1957 Volume 23 Issue 127 Pages 205-210
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    Experimental investigation was made about the lateral vibration of linear materials which are moving axially and supported with pullies. Magnetic flux and photo transducers were used for the measurement, and the results show fairly good agreement with the theory, for the case of expandable materials like coiled spring or rubber belt.
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  • Shin TAKAHACHI
    1957 Volume 23 Issue 127 Pages 211-214
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    Free lateral vibrations of rectangular sectional bars with many circular holes are studied, with free ends, built in ends, one end built in and the other end free, and hinged ends. The method used is to determine the coefficients of normal function according to Ritz, and it is possible to obtain the frequencies of any mode. The comparison of frequencies of the first mode is done between numerical calculation and experiment in the bar, of which one end is built in and the other free, with one hole of 4 sizes of radius and three locations of hole, and with two holes of 4 sizes of radius. Numerical calculations are also carried out with respect to the frequencies of the second mode in above case.
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  • Hisayoshi SEKIGUCHI
    1957 Volume 23 Issue 127 Pages 214-218
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    Practically rubber vibration isolators are often attached aslant. The author studied the effect of their inclinations on the spring constant, damping coefficient and amplitude. Now considering a lamen under complex stresses which has inclined rubbers as some of its members, calculations were made, using Hattori-Takei's formula and their results coinside approximately with experiments.
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  • Tsuyoshi HATASHI, Takashi AKASAKA
    1957 Volume 23 Issue 127 Pages 219-225
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    In the structure of railway passenger cars, the side frame and the center beam are conneted by many transverse beams, which play a role to control the deflections and the load distribution between the side frame and the center beam. In this paper, we analyzed the strength of a steel car under vertical load, assuming the side frame as a "Vierendeel Rahmen". We found that the calculated maximum deflections of the side frame and the center beam agree well with the corresponding experimental results obtained by T.Suzuki and that the ratio of load allotment of the side frame to the total load ranges from about 50% to 80% in a nummerical example.
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  • Takeo YOSHIZAWA
    1957 Volume 23 Issue 127 Pages 225-229
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    The Erichsen value of narrow specimens (of less than 70 mm wide) of metallic sheets and measured with the Erichsen tester which was adapted to Japanese Industrial Standard specification to determine the relation with the width of specimens, and then to investigate how to measure the Erichsen ualue of narrow specimens. as a result, we unberstood that the measured Erichsen value of narrow specimens, the width of which was mere than about 40 mm, was approximately constant, when the specimens were clamped by the die and the blank holder and then the test was taken place.
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  • Shuro MACHIDA
    1957 Volume 23 Issue 127 Pages 230-237
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    In this report, the end effect on Shore herdness number was investigated. The experiment was carried out, with a Shore scleroscope of D-type, on many specimens which different in hardness or in material. It is needless to mention that the general requests for testing were satisfied in this experiment. Especially operating conditions of the tester immune from the effects of velocity of the operating handle and of pressing force to the specimen, were carefully maintained throughout this experiment. As a result, the end effect on Shore hardness numder was made clear. That is, under sufficient pressing force to the specimen, so-called end effect gives ne influence upon hardness number in such long distance from the end of specimen as hitherto mentioned. The end effect appeared within 1 mm from the end of the specimen according to hardness of the specimen, and the effecting range became narrower as hardness of the specimen. And it was represented that a linear relation was existed between hardness of the specimen and the critical distance for the end effect. From a practical point of view, it is desirable te test at a point as far as possible from the end of the specimen, more than 1 mm.
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  • Kanetoshi IWAMOTO
    1957 Volume 23 Issue 127 Pages 238-241
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    After specimens were corroded with a water stream under various magnitude of rotary bending stress and for various times ; they were subjected to fatigue test in air under a stress, which is about 20% larger than the fatigue limit of the material. The numder of repetitions before fracture of the specimen was then noted and compared with that of the material undergone the same stress in air without corrosion stage. The shortening of the life was used as a criterion of the damage caused by the corrosionfatigue. The results obtained were as follows : 1. The damage rapidly increases at first, and then gradually becomes slowly. 2. Under small stress the graph decomes finally practically horizontal, under large stress, however, it reaches 100% (which means the fracture of the specimen) before becoming horizontal.
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  • Tomoya OTA, Akio SHINDO, Hidekazu FUKUOKA, Kazuyasu SUGIMOTO
    1957 Volume 23 Issue 127 Pages 242-249
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    An unsymmetrical solution of compression of a wedge by a flat die has been obtained which gives smaller die load than Hill's symmetrical solutions for smooth die. For thin wedges for which the above solutions do not hold, two possible fields have been indicated, but remaining one has never shown and only the upper and lower limits of its load have been estimated by the extremum principle. If the friction would be considered, one of Hill's solutions could not hold and the other is not affected, unsymmetrical solution is affected, but its existing range is limited. The solutions, which give minimum load taking the strain hardening and surface friction into account, have been realized in experiments.
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  • Shigeo ZAIMA, Zitsuya SHINDO
    1957 Volume 23 Issue 127 Pages 250-253
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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    The mechanical properties of steel have been largely improved by cold working, and their magnetic properties must be affected simultaneously by the process. In this paper the authors study the change of magnetic properties of the mild steel caused by cold working as an aid for analysing the mechanism of improvement of properties. And they think that the influence of cold working upon the magnetic properties is worth studying, because the cold worked materials are in general use for electric machine and apparatus parts. The cold drawing of the mild steel was conducted, using the Amsler type testing machine (capacity 50 ton), and the magnetic properties of many specimens were measured, very simply and speedily interchanging them one after another by means of the magnetometer method with a nomogragh, which was reported previously by the authors. They have ascertained the relation between the reduction and the magnetic properties.
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  • Shigeo ZAIMA, Takeshige OTA
    1957 Volume 23 Issue 127 Pages 253-255
    Published: March 25, 1957
    Released on J-STAGE: March 28, 2008
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