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Kashimoto, Hiroshi ; Nagaya, Kosuke ; Shiraishi, Akio
概要:
application/pdf<br />Journal Article<br />This paper presents a method for solving the dynamic stress concentration problem of inhomogeneous rods having two-dimensional arbitrary curvature, variable cross section and infinite length
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subjected to in-plane bending wave excitation. In this analysis, the exact solution of the equilibrium equations for curved rods has been obtained, and the transfer matrix, based on the exact solutions with consideration of the inertia forces has been derived. At discontinuous sections, solutions of curved and straight rods have been connected by adjusting the boundary conditions. As examples, stress concentration factors in circular, elliptical and parabolic arc rods with variable cross sections have been calculated.
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| 2.
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王, 建春 ; 長屋, 幸助 ; 横田, 正二
概要:
application/pdf<br />Journal Article<br />This paper discusses free vibrations of a spiral rod with straight portions on a number of supports. Since the spiral portion is a three-dimensional structure, three-dimensional motions are coupled.
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Hence, this paper first presents the transfer matrix for a three-dimensional curved rod with supports, then the transfer matrix of a straight rod with supports is joined to that of the spiral rod. The frequency equations for the rod with consideration of three-dimensional motions are obtained. Numerical calculations are carried out for some typical problems.
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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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長屋, 幸助 ; 池田, 真治
概要:
application/pdf<br />Journal Article<br />This paper discusses the bending vibration characteristics of a rotating shaft of a motor, with consideration of the electromagnetic sucking force which acts on a rotor, caused by the narrow
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electromagnetic field between a stator and the rotor. The dynamic response of the motor under the action of the whirling load of the shaft has been analyzed systematically by considering both the translational and rotary motions of the motor. In the analysis, the transfer matrix method is utilized to obtain the response of the shaft. The equation of longitudinal vibrations of a viscoelastic body is applied to the analysis of the viscoelastic foundation under the assumption of the structural damping. Numerical calculations have been carried out for the critical speeds and the response of both the shafts and the motor.
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長屋, 幸助 ; 武田, 定彦 ; 中田, 貴隆
概要:
application/pdf<br />Journal Article<br />This paper is concerned with the method for analyzing the vibration of coil springs with arbitrary shape. In the analysis, the field transfer matrix is derived from the solution of the
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foundamental equation of the curved beam theory. The transfer matrix is given by combining this field transfer matrix and the point transfer matrix. The analysis derives the frequency equation which is applicable to the coil spring of general shape. Numerical calculations have been carried out for HYPERBOLOIDAL springs and barrel springs. Experimental tests are also carried out to verify the present theoretical results.
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