On the Vibration of a Power-Transmission System Having Angular Clearances, Part 1 : Harmonic, Subharmonic, and Ultraharmonic Vibration of a System of Single Degree of Freedom Retarded by Linear Damping

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概要

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• The author deals with a one-dimensional power-transmission system having an angular clearance excited by a static torque and a cosine torque simultaneously. Although the system has symmetrically combined linear elasticities, the mean torque puts the characteristic asymmetric, therefore the system vibrates either "unilaterally" or "bilaterally", besides symmetrically. The author solves rigorously the harmonic or subharmonic vibration of the system without damping and discusses stability discrimination, then solves approximately the maximum amplitude state of the system under velocity-proportional damping, and as a result he is convinced that the latter approximation not only is easy to calculate, but also serves as stability discriminant. This approximation method gave practically coincident solution compared with the ones computed by Y. Yoshikawa with an analogue computer. Finally the author approximates the maximum amplitude state of the unilateral ultraharmonic vibration of the above system, and he verifies that velocity-proportional damping retards the vibration of the higher order the less effective contrary to the subharmonic mode, and the retardation characteristic resembles the one of the subharmonic mode of the order 1/2.

• 社団法人日本機械学会の論文

著者

• TSUDA Koichi

  Faculty of Engineering, University of Tokyo

• Tsuda Koichi

  Faculty Of Engineering University Of Tokyo.

• Tsuda Koichi

  Faculty Of Engineering University Of Tokyo

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• On the Vibration of a Power-Transmission System Having Angular Clearances, Part 3 : Experiment of a Two-Mass One-Stiffness System Retarded by Collision Damping as well as Velocity-Proportional Damping
• Analysis of Valve Motion in Overhead Valve Linkages : 1st Report, Measurement of Valve Motion and Discussion of Single Mass System
• On the Vibration of a Power-Transmission System Having Angular Clearances, Part 4 : Vibration Excited by Irregularities of Gear Teeth, Analysis of an Equivalent One-Mass Two-Stiffness System Reduced from a System with Two Degrees of Freedom
• On the Vibration of a Power-Transmission System Having Angular Clearances, Part 1 : Harmonic, Subharmonic, and Ultraharmonic Vibration of a System of Single Degree of Freedom Retarded by Linear Damping
• On the Vibration of a Power-Transmission System Having Angular Clearances, Part 2 : Approximate Analysis of a System Retarded by Collision Damping as well as Velocity-Proportional Damping

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