日本機械学會論文集
Online ISSN : 2185-9485
Print ISSN : 0029-0270
ISSN-L : 0029-0270
30 巻, 215 号
選択された号の論文の22件中1~22を表示しています
  • 岡村 弘之
    1964 年 30 巻 215 号 p. 745-755
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    In analyzing the stress at inner point of a body, no method has ever been employed but the photoelastic technique through interference of light. Since the method adopts application of the shear difference method, it is inherrently complicated for the determination of the value of stress components, especially when the stress distribution is not axially symmetrical. In this paper, the author presents a new method to determine the three-dimensional stresses at an inner point directly. After the photoelastic effect is frozen in a model made of photoelastic material, the model is cut and a plane of reflection is set up which contains a point where stress has to be determined, and the plane is dipped in a liquid with higher refractive index than that of the material. Measurement of critical angles and polarization of totally reflected light at the point on the plane is sufficient for determining the values and the directions of three principal stresses at the very point.
  • 松本 浩之, 荒井 靖平, 中原 一郎
    1964 年 30 巻 215 号 p. 756-762
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    The upper end of a long cylindrical bar is jointed to a steel block and the bar is vertically suspended in a specia1 testing machine built by the authors. The impact stresses produced in the bar of which the lower end is suddenly stretched by a falling cylndrical body, are studied theoretically and experimentally. The impact stresses, and the reflection and transmission of longitudinal waves at a discontinuous plane are analysed. The condition of the contact of the falling body with the lower end of the bar are derived. The graphical method developed in a previous paper is extended to treat the propagation of elastic stresses in the bar subjected to longitudinal tensile impact. Impact stresses are measured by means of the germanium strain gages. The theoretical predictions show excellent agreement with experimental results.
  • 坂田 勝
    1964 年 30 巻 215 号 p. 763-771
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    This paper presents an analysis on the steady state creep in rotating disks with asymmetrical profiles subjected to the axial loads. Similar disks are frequently used in gas turbines and jet engines under the conditions similar to those discussed in this paper. In the analysis the bending moments due to the axial loads and the asymmetry of the profiles are taken into consideration as well as the centrifugal force. The solutions obtained by a numerical method (Runge-Kutta method) indicated that the bending stresses cannot be ignored, even if the axial loads and asymmetry of the profiles appear to be negligibly small.
  • 山根 雅巳
    1964 年 30 巻 215 号 p. 772-779
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    The number of cycles to cause fatigue fracture had been considered to be proportional to the repetition speed from some theoretical considerations. It was found, however, that the number of cycles is proportional to the square of the repetition speed from testing by means of the high speed fatigue testing machine developed by the author. Theoretical consideration applying dislocation theory was made to explain these phenomena. A dislocation model concerning the preyield plastic and anelastic microstrain, which is a combination of Mason's model for multiplication of dislocation loops and the piling-of-dislocations model for work hardning, was presented here, and analyses were made for the model subjected to alternating stress. The similar tendency to the rheological model described in the 3rd report was noticed. From the consideration, assuming that the vacancies produced at the jog accumulate to produce fatigue crack, the relation between the number of cycles to cause fracture and the speed described above could be explaind and it was also shown that the theoretical S-N curves at the repetition speed of up to 18kc/s are in good agreement with experimental results.
  • 清水 真佐男, 初野 耕三, 中村 宏, 国尾 武
    1964 年 30 巻 215 号 p. 780-788
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    An experimental investigation was undertaken to study the fatigue crack propagation in an induction hardened V-notched specimen (d=10mm, ρ=0.35mm) of C=0.16% steel. The experimental results may be summarised as follows : (1) Fatigue cracks were detected in extremely early stages of stress repetitions. For example, at the higher stress level of 70 kg/mm2 the first crack was detected at 150 repetitions (2) It was observed that the rate of crack propagation was max. at the early time and decreased as the crack grew. This phenomena can be interpreted by using the concept of the stress σ' at the crack-tip under the presence of the residual compressive stress. (3) It was found that there was a simple relation between the calculated stress σ' and the rate of crack propagation dλ/dN. (4) Furthermore, the rate of crack propagation in the specimen subjected to the varying stress amplitude in two or three stages was studied. It appears that the rate of crack propagation depends upon its stress history and is accelerated by varying the stress amplitude.
  • 加藤 則忠
    1964 年 30 巻 215 号 p. 789-799
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    A criterion for the number of cycles to failure is obtained theoretically with an assumed mechanism of formation of the fatigue damages, which is based on both the dislocation theory and the rate process theory. Four material constants involved in it are so determined that the criterion satisfies some of the experimental results on the thermal fatigue of Type 347 stainless steel. Then, the criterion shows the fairly well coincidence with almost all the experimental results, which have been so far obtained by the author.
  • 秋園 幸一
    1964 年 30 巻 215 号 p. 800-807
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    The values of the impact stresses are very important to stuay impact fatigue. So, we studied the size effect of the test pieces for impact load. Impact loads and strains (stresses) of test pieces were measured by wire strain gages. We varied the width (or height) of the test pieces from 7.5 mm to 30 mm, where the height (or width) was constant, 15 mm. We used Matsumura Impact Fatigue Testing Machine, of which the supports were modified to cantilever beams. We obtained the following experimental formulas. ε=0.053 1 b-0.821 h-1.21 U0.5 P=6.56 b0.200 h0.886 U0.5 where ε : strain of the test pieces P : impact load, kg U : impact energy, kg cm b and h : width and height of the test pieces, mm, respectively
  • 土肥 修
    1964 年 30 巻 215 号 p. 808-817
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    There are several methods to measure mechanically the residual stresses in simple shaped subjects such as flat plate, cylinders (solid or hollow) and shells. In these all cases, the directions of the principal stresses are already known and coincide with those of geometrical axes of the bodies. The author has published the Deflection Method to measure the 2 principal residual stresses in a plate and has given the analytical formula to calculate them by solving the integral equation. In general, there are some cases the directions of the principal residual stresses are unknown and their directions and values are required to be measured. In this report, the author proposes the analytical formula to find out the unknown directions and values of principal residual stresses existed in flat plates by applying the relations of elastisity in plate bending to the Deflection Method and shows the examples of measurements in rolled band saw strips.
  • 玉手 統, 阿部 博之
    1964 年 30 巻 215 号 p. 818-827
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    This paper concerns a series solution of the von Karman equations for a symmetrical case of nonlinear bending in which a plate is uniformly loaded only over the central rectangular area. Two kinds of supporting conditions of plates, simply supported and clamped, are treated. By the use of Ritz's method the general equations for evaluating the deflection coefficients are exactly derived. A case of practical interest is the deflection of a plate carrying a single load concentrated in an infinitely small area. Numerical solutions are obtained for the deflections of and the stresses in the plate under shch a load.
  • 玉手 統, 阿部 博之
    1964 年 30 巻 215 号 p. 828-834
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    This paper concerns a nonlinear solution of the von Karman equations for axially symmetric deflections of thin annular plates under uniform lateral pressure with outer edge clamped and inner edge free. Interpolated iterative methods of finite difference approximations of nonuniform meshes are presented for the plate equations and the boundary conditions. Numerical solutions, carried out on the NEAC 2230 at Tohoku University, yield a complete description of stresses and deflections for three cases of a dimensionless inner radius of a plate for an unlimited range of load parameters.
  • 植村 益次
    1964 年 30 巻 215 号 p. 835-841
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    The nonlinear snap buckling problem of curved beams having small curvature due to external pressure, in which it is possible to obtain the exact solution, was taken up as an example to discuss the question (1) whether or not the approximate methods usually used in the analysis of nonlinear elastic problems are proper to define the buckling load and, (2) whether or not an asymmetrical deflection might give a lower buckling value, as pointed out previously. The comparison of the exact solution with approximate solutions showed that the assumed deflection mode had a great influence on the buckling load. Further, the analytical results that the buckling loads obtained in the asymmetrical mode are smaller compared with those in symmetrical modes are found to be true only within the degree of precision of the approximate solutions themselves. The reason is that the symmetrical deflection mode derived from the exact solution of the nonlinear equation gives the minimum buckling load. These analytical results seem to suggest the need for scrupulous attention to the assumed deflection mode in the approximation method necessary for the two-dimensional problems, such as problems of plates and shells.
  • 植村 益次
    1964 年 30 巻 215 号 p. 842-847
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    A set of nonlinear differential equations based on the finite deformation theory in the two-dimensional shells has been solved by assuming a specified deflection mode because of the difficulty to obtain their exact solution;however, the particular deflection mode assumed has a great effect on the buckling load, giving considerably higher theoretical values than experimental values, as noted in the previous paper. From the above circumstances, the progressive approximation method was applied to the snap buckling problem under uniform pressure of a shallow spherical shell segment having a small value of α=aβ2/t (a : radius, t : thickness, 2β : angle of opening) and a more precise and reasonable solution could be obtained by means of a comparatively simple mathematical treatment. That is, much smaller initial buckling loads were obtained with the deflection mode which varied reasonably with the variations of load and deflection, verifying the suitability of this method.
  • 植村 益次
    1964 年 30 巻 215 号 p. 848-855
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    In order to investigate the stability condition of certain equilibrium states existing in the nonlinear buckling phenomenon as a result of finite deformations, and in order to specify a reasonable deformation process, a method of analysis of the stability criterion in two-dimentional plates or shells is presented. This method is applied to a sample problem concerning the snap buckling of circular plates due to rapid heating or cooling and is found to be of use especially when the Euler equation derived from the variational method is solved by the progressive aptproximation method. Since the effect of the temperature gradient through the thickness resulting from the rapid heating or cooling corresponds to the action of a pressure over the surface, it should be noted that a snap buckling may be induced by this effect, even if there is no initial deflection.
  • 溝口 孝喜, 塩田 治雄
    1964 年 30 巻 215 号 p. 856-866
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    In this paper, the deformations and stresses in a thin cylindrical pipe of finite length with groove cut out through the length axially under torsion are discussed utilizing the fundamental differential equation for cylindrical shell introduced by one of the present authors. The angle of twist per unit length is greatly different from that of infinite pipe with the same groove, and great axial thrusts occur at the end positions of grips. The theories are ascertained by experimental results.
  • 市野 市郎, 高橋 寛
    1964 年 30 巻 215 号 p. 867-876
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    In this paper the fundamental differential equations for bending states of cylindrical shells are derived in terms of stress function. These equations have the same accuracy as Flugge's equations. We can give the solutions simply with these equations, especially for a problem whose boundary conditions are given in terms of stress components. The local stresses by radial loading are calculated as a specific application. We obtained a good agreement with the results calculated by Bijlaard.
  • 小林 節夫, 竹之内 好明
    1964 年 30 巻 215 号 p. 877-886
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    The impact problems of an elastic body treated by Saint Venant, Bousinessq and Donnel are only about the transient state in the shocked surface of the body. Pipes transformed a shocked system into the equivalent electric circuit and solved it with the operative method. In this paper the authors introduce Dirac's δ(t)-function into the boundary condition in the parallel system of a coil spring and a damper, and solved it with the method of Laplace transformation. The results are summarized as follows : (1) The condition that a falling body separates from a spring after impact is obtained. (2) The maximum stress of the fixed end of a spring and the approximate equation for it are found. (3) The effects of a damping coefficient on the restitution coefficient are made clear. (4) The spring stress due to impact decreases as a damping coefficient increases, and the transmission force at the fixed end of the spring takes the minimum value when a damping coefficient is optimum.
  • 後藤田 秀実
    1964 年 30 巻 215 号 p. 887-900
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    The unbalance vibration of a rotating shaft supported by cylindrical journal bearings is reported in this paper. Elastic and damping properties of oil-film bearings of finite length are obtained using a digital computer from Reynolds equation for two dimensional flow with squeezefilm effect. These properties play a very important role in limiting the vibration amplitude to a small value and in reduction of the critical speeds. Elastic and damping properties of oil-film have nonlinear characteristics, and if their non-linearity is neglected in the calculation, the unbalance vibration may result in by far larger amplitude at resonance than the actual case, unless the static displacement of the journal center from the bearing center it large in comparison with the amplitude of the journal center. If the nonlinear characteristics are taken into consideration, the vibrational behavior will be estimated in good approximation to experimental results.
  • 三浦 宏文
    1964 年 30 巻 215 号 p. 901-909
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    This paper treats the vibration of bobbin for fine spinning. The vibration of bobbin for fine spinning becoms large, as the rotating speed of spindle increases. So, we cannot operate the fine spinning machine as rapidly as we wish. Up to this day, many people have worked on the vibration problem of bobbin, but the whole aspect of this problem is not yet explained. The author studies this problem as follows : (1) He measures the amplitude of the all parts of bobbin, while many people measured the amplitude at the head part of bobbin but in this way the characteristics of the vibration of bobbin cannot be clarified. (2) From the result of the experiment, some vibrational characteristics of bobbin and spindle may be judged. (3) Considering these characteristics, theoretical model is proposed and theoretical relation between the rotating speed and the vibration is obtained by solving the equation of motion of the model. (4) This theoretical relation coincides with the experimental result. Then, he can justify the above judgement.
  • 椹木 義一, 砂原 善文, 添田 喬
    1964 年 30 巻 215 号 p. 910-916
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    In the previous paper, the authors described the statistical studies on the response of nonlinear control systems subjected to an ergodic stationary Gaussian random input. This paper is devoted to the fundamental approaches to the non-stationary random time series which are considered to arise quite often for the automatic control systems in practice. Firstly, the response of nonlinear control systems subjected to a non-stationary random signal is evaluated. Secondly, for an example, a non-stationary Orenstein-Uhlenbeck process which is obtained by using the method of Fokker-Planck is treated. Detail illustrations are shown by several examples.
  • 市川 邦彦
    1964 年 30 巻 215 号 p. 917-925
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    The second order system with positive damping coefficient may become unstable by introducing dead time. Relation between dead time and damping under critically stable condition was evaluated by both frequency response method and analytical method, and the result shows fairly good agreement. When the gain element has a saturation characteristic, the system will have a stable limit cycle under the unstable condition stated above. Amplitude and frequencies of limit cycles were evaluated by both describing function method and analytical method, and were compared with numerical solutions through computer. It was proved that describing function method had good accuracy while analytical one had some errors in the evaluation of frequencies at large dead time. The analytical method, however, offers prospective relations and will possibly be the effective method in the analysis of nonlinear control systems.
  • 大川 善邦
    1964 年 30 巻 215 号 p. 926-933
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
    In this literature computer control of large scale (mechanical or chemical) plants are considered. The auther presents a simple decision function which consists of random sampling and mesure preserving linear transformation. Dynamic characteristics of this equation are described by a set of so called Ricatti type diftrential equations. Solutions of these equation in the case where natural circumstance of the plants is independent of time or varies periodically are proved to be stable. Experiments are carried out using electrical device (OKITAC 5090 A) at Computing Center of Tokyo University and results are shown graphically.
  • 北郷 薫
    1964 年 30 巻 215 号 p. 934-939
    発行日: 1964/07/25
    公開日: 2008/03/28
    ジャーナル フリー
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