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永井, 健一 ; 大佐々, 吉宏 ; 長屋, 幸助 ; 武田, 定彦 ; 谷藤, 克也
概要:
application/pdf<br />Journal Article<br />An analytical method is presented for the bending vibration of a circular dise carrying concentrated masses, introducing a new mode of shape function to the Galerkin method. Deflection of
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the plate is expressed by a product of the mode shape function along radial direction and the circumferential periodic function. The mode shape function is assumed to be the sum of the product of the trigonometrical function and the finite power series. The coefficients of the power series are found to be satisfied by the boundary condition of the plate. Applying the Galerkin method, the number of sets of differential equation with second-order time functions are reduced. It is found that this method gives good accuracy to the natural frequencies within the small number of terms for unknown time functions
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武田, 定彦 ; 長屋, 幸助 ; 永井, 健一 ; 井開, 重男
概要:
application/pdf<br />Journal Article<br />This paper presents theoretical and experimental results for the steady state response of a relaxation-suspension system considering the unsymmetrical damping force under periodic excitation.
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the unsymmetrical damping force has two different values in period of the stroke velocity. In the analysis, exact solutions are obtained by considering the continuity of the response at the boundary in which the damping force varies. Numerical calculations are carried out for various values of the ratio of the damping coefficient. It is found that the reference line of the vibration in the relaxation-suspension system maintains a constant value within the range of the high frequency ratio, while the reference line in the direct-suspension system varies proportionally to the change of frequency ratio. The experimental values agreed fairly well with the theoretical results.
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長屋, 幸助 ; 佐藤, 浩 ; 中村, 信章 ; 武田, 定彦 ; 永井, 健一 ; 井開, 重男 ; 孫, 健利
概要:
application/pdf<br />Journal Article<br />Thi paper describes a method of active vibration control for passing through critical speeds of a rotating shaft using electro-magnetic clutches. In this method the vibration of the shaft due to
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whirling is controlled by means of on and off electric current controls of the electro-magnetic clutches which support the shaft under the on control, The principle of this method is to change the eigen-frequencies of the shaft by adding or losing the supports during shaft rotation. To verify the present method, this paper provides a model of a rotating shaft system with an electro-magnetic clutch, and examines the results analytically and experimentally.
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論文
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永井, 健一 ; 長屋, 幸助 ; 武田, 定彦 ; 荒井, 徳幸
概要:
application/pdf<br />Journal Article<br />The free bending vibrations of beams with a concentrated mass subjected to axial forces caused by axial acceleration are analyzed by the Galerkin method, introducing the mode shape functions which
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are the sum of the products of the finite power series and the trigonometrical function. This analytical method makes it easy to construct the equations of motion in each boundary condition only by exchanging the coefficients of the finite power series. Numerical calculations are carried out under four sets of boundary conditions combined with simply supported and clamped edges. The natural frequencies and the corresponding modes of vibration are determined under both various locations of the concentrated mass and axial forces. it is found that the transverse inertia force and the axial force, due to the concentrated mass, have significant effects on the change of the natural frequencies for beams. Furthermore the distinction of boundary conditions gives predominant influence to the variation of natural frequencies.
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