Shigeo Matsushima

A high-speed method for eigenvalue problems. IV. Sturm-Liouville-type differential equations

We present a new version MEV4 of the program package MEV3 by Milnes method generalized for the eigenvalue problem of the linear differential equation of the Sturm-Liouville-type. This version MEV4 enables one to calculate eigenvalues for various types of boundary conditions.

A high-speed method for eigenvalue problems. II Calculation of the eigenfunction in Milne's method

Abstract A new version of the program MEIGEN is presented for the eigenvalue problem of Sturm-Liouville-type linear equations in Milnes method. Use of the spline function and the WKB approximation provide a high-speed method for calculating eigenvalues and eigenfunctions avoiding divergence problems.

A high-speed method for solving eigenvalue problems: use of the spline function in Milne's method

Abstract Use of the spline function in Milnes method for eigenvalue problems of Sturm-Liouville-type linear equations is found to provide a high-speed method for calculating eigenvalues.

A high-speed method for eigenvalue problems. III: Case of unsymmetrical potentials in Milne's method

Abstract A new version of MEV2 by Milnes method is presented for eigenvalue problems of linear differential equations of Sturm-Liouville-type. This version MEV3 enables one to calculate eigenvalues and eigenfunctions, for instance, for the case of unsymmetrical potentials in Schrodinger equations.

Elastic Deformation Analysis of Corrugated Fiberboard Box under Uniform Compressive Displacement on Upper and Lower Edges (Elastic Analysis for Square Tube)

On deformation condition for displacement zero in the width direction of upper and lower edges, a formulation of elastic stress was expressed for side plates in the case of the corrugated fiberboard box shape (CFBS) supported by upper and lower edges under compression loading as uniform displacement uyh. Then from this formulation, the stress behavior for side plates was discussed.Normal stresses σx and σy in width (L=300mm) and height (h=400mm) directions x and y for the plate are symmetric to center lines of the width and the height, and shear stress τxy is antisymmetric, Maximum σxmax of|σx|is at centers of side plates and maximum|σymin|of|σy|is about at corners. And maximum τxymax of |τxy|is at distance L/16 from corners in upper and lower edges. Ratios σxmax/|σymin|and τxymax/|σymin|are about 0.14 and 1.13.

Stress of Corrugated Fiberboard Made by Compression under Uniform Bending of Moment Axis in Machine Direction (On Single Wall Fiberboard with Symmetrical Thickness Strength)

We investigated stress generation in a semichemical corrugated medium (SM) by compressional forces under uniform bending with the bending moment axis of the machine direction (MD) in single-wall corrugated fiberboard (SWCF), and attempted to derive an elastic expression for its generation stress σ sp. Using this expression, the analysis of σ sp was carried out. Values of the lateral force W sx and fixed moment M s0 per unit length at the joint between kraftliner (KL) and SM are determined, and relationships between those values and the shape of SWCF are considered. The following results are obtained from the expression. The maximum value σ pmax of σ sp is found at the joint on the outer surface of SM. W sx, M s0 and σ pmax increase markedly with the increase of wavelength L and decrease markedly with the increase of wave height h for SM.