On the Elastic Waves with the Discrepancy between Tangential Displacements at the Junction of Two-Dimensional Layered Media

In this article, we propose the existence of some dispersive Rayleigh-waves propagated within the superficial layer of two-dimensional layered media. They are not only M-waves and M舀 -waves taken as the unique solutions whenever some physical constants are given, but also the other elastic waves propagated with some slide at the junction. If we regard M-waves and M舀 -waves with no slide whatever at the junction as the upper limit, we may regard some elastic waves with such slide that makes the strainenergy of the whole elastic system minimum as the lower limit. In this article, we shall find the lower limit and illustrate the solutions of such elastic waves are not unique but exist in certain ranges.Article信州大学工学部紀要 12: 1-34 (1961)departmental bulletin pape

A Method of Treating Two-Dimensional Elasticity by Means of Integral Equation

This paper will give one method for attacking Airy's stressfunction in two-dimensional problems of elasticity by means of integral equation, when any distribution of external forces are given on a specified bounding curve. The example here given is very simple, but the method will suggest how to find the proper form of stress-function for more complicated boundary-value problems.Article信州大学工学部紀要 5: 1-8 (1955)departmental bulletin pape

A Note on the Stress Distribution in a Plate Flanged with a Circular Plug

This article gives a note on the old problem that a large plate flanged with a circular plug is subjected to a pair of edge forces. It is based on the principle of the minimum strain-energy of the whole system, by allowing the discrepancy between tangential displacements at the junction of the plate and the plug. Numerical calculation reveals a considerable increase in the maximum circumferential tensile stress.Article信州大学工学部紀要 6: 135-150 (1956)departmental bulletin pape

Complex Eigenfunction Method for Bending Analysis of Rectangular Plates

The present article will give a Fadle eigenfunction analysis of rectangular plates in flexure by means of complex matrix algebra. Rectangular plates have many structural applications, and their flexural analysis is thus of considerable importance. The solution of the flexural problems of classical elasticity generally involves the satisfaction of the homogeneous biharmonic equation and the imposed boundary conditions. Although these boundary value problems have been the subject of many investigators and the literature is replete with numerous solu-tions, many problems of practical interest have not been solved with respect to the actual imposed boundary conditions. Fadle and Papkovitch were the first to present a method for solving rectangular plate problems by the use of complex biharmonic eigenfunction. The utility of a representation in terms of a Fadle eigenfunction series is contingent on the ability to express arbitrary functions in terms of the series. Each term of a series of these functions satisfies the governing differential equation (nabla)4w = 0 and certain homogeneous boundary conditions on two parallel edges identically. In addition, each term of the general eigenfunction series, when written for finite rectangular plates, contains two arbitrary complex constants which can be used to satisfy arbitrary boundary conditions on the remaining two edges. Thus, the use of these eigenfunction permits the simultaneous satisfaction of the boundary conditions on all four sides of the rectangular plate. An approximate expansion formula is developed and applied to the flexural rectangular plate problem. The analysis can be made for complex quantitiesas as these appear, and needs not to separate real parts from imaginary ones, because these can be evaluated numerically with digital computers.Article信州大学工学部紀要 32: 23-42 (1972)departmental bulletin pape

Operational Finite Element Analysis of Circular Rings Surrounded with Elastic Foundation

Article信州大学工学部紀要 27: 37-46 (1969)departmental bulletin pape

Direct Analysis of Continuous Beam-Columns

Article信州大学工学部紀要 23: 1-14 (1967)departmental bulletin pape

21 Figure Sines and Cosines with Radian Arguments

Article信州大学工学部紀要 23: 35-76 (1967)departmental bulletin pape

Operational Method for Various Continuous Beams

Article信州大学工学部紀要 24: 1-22 (1968)departmental bulletin pape