Transactions of the Japan Society of Mechanical Engineers
Online ISSN : 2185-9485
Print ISSN : 0029-0270
ISSN-L : 0029-0270
Volume 25, Issue 151
Displaying 1-23 of 23 articles from this issue
  • Yuzo NAKAGAWA
    1959 Volume 25 Issue 151 Pages 115-116
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
    JOURNAL FREE ACCESS
    It is now recognized as a well-known fact that the yield point depends on the rate of strain as a result of the investigation by Ludwik, Manjoine and other investigators. The author presents a new theory in order to explain this phenomenon and expresses it by a model which consists of two springs, two dashpots and one friction block. The arrangement of these component parts in this model is somewhat different from any other models used widely in the field of rheology. The relation among the stress, the strain and the rate of strain is expressed by the following equations in this theory : [numerical formula] and [numerical formula] where σ means the stress, εe ; the elastic strain, εp ; the rate of strain and D is the force acting on the friction block. As to the force acting on the dashpot, precise explanation will be given by the author in the next paper.
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  • Yasuo SATO
    1959 Volume 25 Issue 151 Pages 117-121
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    According to our experiments, the yielding of mild steel cylinders under internal pressure depends on the ratio γ of the outer to inner diameter of the cylinder ; 1. In the case of γ<1.55, the yielding takes place under constant pressure. 2. In the case of γ>1.55, the yielding takes place gradually as internal pressure increases. Those experimental relations are shown in Fig.2. All the experimental results agreed very well with the Nakanishi's theory on the yield point of mild steel.
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  • Yoshimaru YOSHIMURA
    1959 Volume 25 Issue 151 Pages 122-128
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    All the deformations of continuous media are grouped into the two types of deformation, the one is the elastic deformation due to the change in the distance among the constituent particles and the other the plastic deformation due to the change in the mode of connection of the particles. It is deduced from this essential difference of the mechanism of deformation between the two types that the theories of elasticity and plasticity should be distinguished in not only the stress-strain relation, but also the definitions of strain, strain increment and stress of themselves. In the 1st report, the definitions of strain and strain increment reasonable for the description of each of the elastic and plastic finite deformations were given, and the essential differences and relationships between them were clarified.
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  • Yoshimaru YOSHIMURA
    1959 Volume 25 Issue 151 Pages 129-132
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    The second report dealt with the stress for each of the elastic and plastic deformations. The stress which specifies the equilibrium equations is common to the both deformations, being a tensor representing the actual force field. But the stress which describes the stress-strain or strain increment relations, i.e the state equations, is not common ; the stress describing the plasticity law being equivalent to that for the equilibrium equations, the stress describing the elasticity law is a modified stress derived from the former. Based on these dual definitions of strain, strain increment and stress, the theories of elasticity and plasticity will be seen to be established, for the whole range of small and finite deformations, in harmony of a refined contrast.
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  • Yoshimaru YOSHIMURA, Yukihiko TAKENAKA
    1959 Volume 25 Issue 151 Pages 133-139
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    Plastic deformation being essentially a hysteresis phenomenon, real metals usually exhibit anisotropy and the Bauschinger effect as well as work-hardening due to strain history. The existing theory of plasticity limited to the description of ideal plastic solid, is not capable of describing the plastic deformation of such real metals. In the present paper, a new theory "The Strain History Theory of Plasticity" proposed by one of the authors being applied to the general loading processes of combined stress of tensiontorsion after simple tension and torsion respectively, the yield condition, the rate of work-hardening and the stress-strain increment relation proper to a metal and their dependence on the strain history are deduced.
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  • Yoshimaru YOSHIMURA, Yukihiko TAKENAKA, Shinzo ABE
    1959 Volume 25 Issue 151 Pages 140-147
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    For the purpose of examining the validity of the basic assumption of "The strain History Theory Of Plasticity", consequently, of the yield condition and the stress-strain increment relation derived from it, the experiments for mild steel concerning the general loading processes of combined tension-torsion after the respective strain histories of extension and torsion, are carried out. The results show that the strain history theory, its theoretical deduction being in good agreement with the experimental results, is capable of explaining unifyingly the plastic behaviour of metals for different strain histories.
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  • Shuji TAIRA, Kichinosuke TANAKA, Ryoichi KOTERAZAWA, Mutsuo INOUE
    1959 Volume 25 Issue 151 Pages 148-155
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
    JOURNAL FREE ACCESS
    The fatigue and dynamic creep tests were made under simulated service condition of turbine blades, i.e. combined stresses of static tension and alternating bending at elevated temperature of 450°C. The frequency of alternating bending stress was 780 cpm and the test period was 0.2 to 200 hrs. The results are summarized as follows : 1. Alternating bending stress superimposed on static tensile stress reduces the fatigue life. 2. Alternating bending stress which is combined with static tensile stress does not a1ways increases creep strain. In the range of small stress ratio (alternating bending stress divided by static stress) alternating bending stress clogs the increases in creep strain. 3. The hindrance of increase in creep strain by the alternating bending stress is interpreted by the hardening effect of material by stress alternation. 4. An analysis was made which led to the estimation of dynamic creep strain under combined alternating bending stress and static tensile stress by using static tensile creep data.
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  • Shuji TAIRA, Kichinosuke TANAKA, Kiyotsugu OHJI, Isao HARUMOTO
    1959 Volume 25 Issue 151 Pages 155-162
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
    JOURNAL FREE ACCESS
    Creep tests were made with 0.14 percent carbon steel at 450°C under the periodic stresses changing stepwise between two stress levels, the mean stress of which was 17.0 kg/mm2 and the stress amplitudes of which were 1.0 and 2.0 kg/mm2. If was found that, under the test conditions in this study, creep strain under varying stresses could be predicted from the results of constant stress creep tests employing the assumption of the "mechanical equation of state in solid", within an error not exceeding ten percent. The limitations of the "mechanical equation of state in solid" as an approximate method of estimation of the strain under varying stresses were also discussed on the basis of the authors' theory of plastic deformation of metals at high temperatures, in which the effect of stress and temperature history is taken into account.
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  • Shuji TAIRA, Kichinosuke TANAKA, Ryoichi KOTERAZAWA, Hideki TANAKA, Yo ...
    1959 Volume 25 Issue 151 Pages 163-169
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
    JOURNAL FREE ACCESS
    Dynamic creep and rupture tests were made with annealed low carbon steel. The test temperature was 450°C and the frequencies of alternating stress were 1800 and 5600 cpm. As the results of the tests, it is clarified that the creep strain is increased significantly by alternating stress superimposed over static stress. Allowable mean stress is reduced to about 86 or 63 percent or static Creep strength when stress ratio (alternating stress/mean stress) is increased from 0 (static) to 0.23 or to 0.70, respectively. On the other hand, the dynamic creep strength was analysed on the basis of mechanical equation of state and the results of static creep tests. The results of analysis agree well with the experimental ones. It was also indicated that both the results experimented and calculated show a fair agreement for the values of dynamic creep rupture strength.
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  • Zenji ANDO, Yozo KATO, Masao IWATA, Takeomi HASEGAWA
    1959 Volume 25 Issue 151 Pages 170-174
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
    JOURNAL FREE ACCESS
    The hardness change of 0.13% carbon steel by alternating pure rotatory bending or torsional stress was reported by the authors previously. In this paper we report the similar experiments on the specimens of the same material, which have been stressed under combined alternating plane bending and torsion. In the manner of the hardness change in the case of repeated pure stress, there are distinct differences between plane bending and torsion. When subjected to combined alternating plane bending and torsional stresses, the hardness change takes place in a manner just half way between the pure plane bending and the pure torsion.
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  • Minoru HAMADA
    1959 Volume 25 Issue 151 Pages 174-180
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    Buckling problem of a rhomboidal plate with all edges clamped, on which compressive or shearing forces are applied uniformly along its edges, is studied in this paper on the basis of the method used before by the author in the natural vibration problem of a rhomboidal plate. As numerical examples, the lowest buckling stresses for several oblique angles are calculated. Convergency of solutions are considered good enough.
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  • Ichiro NAKAHARA, Takashi KOIZUMI
    1959 Volume 25 Issue 151 Pages 181-189
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
    JOURNAL FREE ACCESS
    This paper presents a analytical method for the determination of the three dimensional solution of an infinite plate with a circular cylindrical hole under uniaxial tension. Numerical results are given for the case the ratio of diameter to plate thickness is about 0.5, 1, and 2. The results show that the circumferential stress occurring at the ends is maximum at the middle plane, and minimum at the surfaces of the plate. In addition, the normal stress acting on the middle plane of the plate is estimated at the hole.
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  • Eiryo SHIRATORI, Shigeo SASAKI
    1959 Volume 25 Issue 151 Pages 189-198
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    In this paper the experimental results concerning yielding, plastic deformations and bursting of mild steel rotating discs are reported. In the case of mild steel discs some special features concerning yielding which had not been observed in the case of aluminium discs were observed. Therefore, the mode of yielding is explained in some details. Convenient methods of calculating approximately the rotating speeds, at which a slip band appears on a disc, at which a disc has been just plastically deformed throughout and at which a disc bursts are proposed. Assumptions used in those calculating methods are considered to be appropriate because of the facts that calculated values coincide with observed values approximately.
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  • Eiryo SHIRATORI
    1959 Volume 25 Issue 151 Pages 199-206
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    It is a question yet to be studied whether the deformation theory may be used reasonably instead of the flow theory for the calculation of stresses and strains in a plastically deformed rotating disc. In this paper, the question is solved for a disc, which rotates at a speed that increases with time. At first the conditions, under which both theories give the same results referring to such a rotating disc, were studied based upon the theory of Ilyushin, and from these conditions it was deduced that the deformation theory was applicable to discs except partially plastic ones, which have elastically and plastically deformed regions. Secondly, methods to calculate stresses and strains in a partially plastic rotating disc by applying the deformation and the flow theories were developed, and the calculated results by those methods gave a fairly good coincidence with each other ; it shows that the deformation theory is applicable also to a partially plastic rotating disc.
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  • Shuro MACHIDA
    1959 Volume 25 Issue 151 Pages 207-213
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    In this report, at first, the effect of the roughness of the testing surface of specimen on the Shore hardness was investigated, and then the effect of the roughness of the reverse surface was investigated. The experiment was carried out with a Shore scleroscope of D-type on many specimens, which were different in hardness or in material, under the constant operating condition of the tester throughout the experiment without being effected by the speed effect of the operating handle and the force, with which the specimen was pressed. As a result, these effects on the hardness number have been made clear, and it has been revealed that the roughness of the testing surface of specimen affects the hardness number, but on the other hand the roughness of the reverse surface does not influence the hardness number. The critical roughness curve, which shows the relation between the maximum (critical) roughness for the testing surface to free from the roughness and the hardness of specimen was given. And an experiment also conducted to find direct causes of the so-called effect of the roughness of the reverse surface of specimen is described in the present report.
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  • Hiroshi NAKAMURA, Tatsuo AMAKASU, Shinji TAMURA, Shiro UEDA, Tadakatsu ...
    1959 Volume 25 Issue 151 Pages 214-220
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    A large sized rotary bending fatigue machine capable of testing a specimen up to 60 mm in diameter (capacity : 1.6 ton-metre, range of revolution : 300 to 1200 r.p.m.) has been newly installed. The present paper describes the testing machine briefly and gives some results of certain tests by this machine. The principal results on specimens made of 0.35% carbon steel are listed below ; [table] Finally, the state of strain measured with resistance strain gages set over the crack and the test results on the propagations of cracks are described.
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  • Shoichi KONISHI, Hiroshi NAKAMURA
    1959 Volume 25 Issue 151 Pages 221-227
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    An experimental test of the loads on the wheel passing a curved track, -lateral, vertical, and longitudinal loads, -was carried out for the new B-B-B diesel electric locomotive of type DF 50. The results are as follows. 1) Lateral load : For the leading axle, the lateral loads act from outside towards center of the wheelset for both wheels. As for the inside wheel, the load is nearly independent of the curvature of track, while, for the outer one, it increases as the radius of curve diminishes, attainings a max. value of 5.6 tons (Lateral load/Vertical 1oad=0.7) for 200m. radius. On the other hand, for the trailing axle, the loads are very small with indefinite directions of action. 2) Vertical load : The vertical loads generally agree with the theoretical values, calculated considering centrifugal force. 3) Longitudinal load : While the longitudinal load has been hitherto rarely treated theoretically, considerable loads were revealed, attaining a max. value of 1.9 tons. The direction of loads is forward for the outer wheel of the leading axle and the inside wheel of the trailing one, and backward for the remainder.
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  • Toshio SATA
    1959 Volume 25 Issue 151 Pages 227-234
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    Wear tests were carried out by externally heating a test piece being compared with the experimental results of wear at room temperature. It was experimentally proved that wear varies dependently on the temperature of rubbing surface. From the comparison of these two results of wear tests, a method how to obtain the temperature of rubbing surface quantitatively was established, and then thermal characteristics of metal wear could be obtained quantitatively.
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  • Syusuke IIDA
    1959 Volume 25 Issue 151 Pages 235-240
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    The critical speed of a shaft rotating in fluid contained in a casing is differ from that in vacuum. In this paper the effects of fluid upon the critical speed are calculated and compared with the experimental results. Let ω be the angular velocity at which a shaft whirls with an eccentricity of d and Ω be the angular velocity at which the shaft revolves about its own axis. Then the critical speed in fluid (1) drops for the range [numerical formula] and has a minimum value at. [numerical formula] when [numerical formula] (2) also drops as ri/ro tends to unity at a certain value of ω/Ω in the above range (3) rises up for ω/Ω and (4) drops as the ratio of the density of the material of the shaft to that of the fluid becomes small, where ri is the radius of the shaft and ro is that of a casing. This calculated results well coincide with the results experimented at ω/Ω=1 and can be applied to about [numerical formula] When [numerical formula], the effects of fluid are negligibly small. Taking the gyroscopic effects into considerations, the frequency of the shaft drops as the outward force due to fluid acts on it.
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  • Hisayoshi SEKIGUCHI, Masami NISHIMURA, Teizo TAKAHASHI
    1959 Volume 25 Issue 151 Pages 241-246
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    Influences of vulcanizing temperature and time on the dynamic characteristics of hevea stocks were previously reported by the authors. In this report, dynamic properties of the tread stocks, having the same rate of chemical composition, contained different carbon blacks and accelerators, were studied under the following conditions ; (1) Influences of mastication before vulcanization. (2) Influences of cooling conditions just after vulcanizing process. (3) Variations of moduli with an elapse of time after vulcanization. Then the following results were obtained; (1) Increasing the time of mastication, less amplitude dependencies were recognized, and complex modulus and loss factor decreased. (2) Imaginary part of complex modulus and loss factor increased, and real part of complex modulus decreased by the instantaneous cooling, just after vulcanizing process. (3) Generally, complex modulus slightly increased as time elapse after vulcanization and there were differences of variant mode of their characteristics by the type of carbon black and accelerator.
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  • Masao TAKAMURA, Yuji OTUKA
    1959 Volume 25 Issue 151 Pages 247-253
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    It is expected that "chatter-vibration" of the switching relay may be reduced, if a damping force is applied to the relay spring. The present paper describes the result of an experiment, in which the free end of a cantilever under a damping force was collided with a rigid wall and the relation between the number of "make and break" and the damping coefficient was empirically determined. In order to apply the damping force to the cantilever, the principle that the Joule loss is caused by the electromotive force, which is induced by the vibration of the cantilever due to the magnetic field applied perpendicularly to the direction of vibration, was utilized. The result of theoretical analysis of the frequency response of the vibrating system is also described in the present paper. As a result, it has been clarified that the number of "make and break" markedly varies depending on the damping force applied to the relay spring.
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  • Yoshikazu SAWARAGI, Yoshifumi SUNAHARA
    1959 Volume 25 Issue 151 Pages 254-264
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    In this paper, a linearization approach for automatic control systems with a non-linear element of zero-memory characteristic under a sinusoidal input and a Gaussian disturbance is described. The response of the system to these inputs is too complicated to be analyzed precisely. However, if the equivalent gains of non-linear elements are evaluated for various values of parameters, the calculation of the response will readily be performed by means of graphical and numerical methods, and the effect of the non-linearities on the system performance will be found. As a typical example for the application of general description, the statistical evaluation of the error signal in a non-linear servosystem containing a saturated element with dead band under a sinusoidal input and a Gaussian disturbance is treated by a graphical method.
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  • Tatsuo MITSUMAKI
    1959 Volume 25 Issue 151 Pages 265-272
    Published: March 25, 1959
    Released on J-STAGE: March 28, 2008
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    Modified optimum nonlinear control is a control method to obtain a nearly optimum nonlinear control action, keeping the complexities of the controller to minimum. In this paper, an analog computer study of this control method comparing with other nonlinear control systems is presented. The author shows that to modify the manipulated variable according to the information at the switching instant is very effective in shortening the response time.
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