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論文
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長屋, 幸助 ; 山口, 俊澄
概要:
application/pdf<br />Journal Article<br />This paper presents a method for solving eigenvalue problems of various phenomena which are governed by the Helmholtz equation with an arbitrarily shaped outer boundary and a number of
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eccentric boundaries of arbitrary shape. In the analysis, the outer boundary condition is satisfied by means of the Fourier expansion collocation methed using the exact solution of the equation of motion. To satisfy the inner boundary conditions, the point restraints are added to the equation of motion, and the inner boundary conditions are satisfied by making use of a point-matching procedure. The equations for finding the eigenvalues are derived, and numerical calculations are carried out for cases of elliptical outer and a number of elliptical inner boundaries, and polygonal outer and a number of elliptical inner boundaries.
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長屋, 幸助 ; 中田, 雅之
概要:
application/pdf<br />Journal Article<br />This paper is concerned with a method for solving forced vibration problems of an arbitrarily shaped plate excited by a number of eccentric circular sinusoidal forces. The analytical solution for
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finding the displacements in the plate has been presented by use of the Fourier expansion collocation procedure. Numerical calculations have been carried out for four cases of circular, elliptical, square, and rectangular plates which are excited by one through four vibration forces. The effects of eccentricity and the size of circular forces on the vibration response have been clarified.
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論文
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長屋, 幸助 ; 中田, 貴隆 ; 武田, 定彦
概要:
application/pdf<br />Journal Article<br />This paper deals with a method for solving dynamic stress problems of a non-cylindrical viscoelastic coil spring subjected to base excitations. The analysis considers the effects of ends of the
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coil, and applies the three dimensional curved beam theory for obtaining the exact solution of the element of the coil. The resultant forces and the resultant moments in the vibrant coil are decided by means of the transfer matrix method for an arbitrary shape. Both the shear and the normal stresses are obtained by use of the curved beam theory as just mentioned. Numerical calculations have been carried out for two cases of a barrel spring and a hyperboloidal spring.
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