Vibration of a Bowed String : Application of Timoshenko's Beam Theory and Transmission of Sound Energy Through the Bridge
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概要
- 論文の詳細を見る
The bow force necessary to maintain steady vibration of a bowed string is greatly increased, and its fluctuations are severely intensified by the presence of inharmonicity due to flexural stiffness of the string. Timoshenko's beam theory gives a slightly smaller estimation of inharmonicity than the ordinary beam theory and decreases the necessary bow force considerably. Meanwhile, the internal friction of the string in bending and torsional motions and the compliance and damping of the bow mitigate the effect of inharmonicity that comes from the stiffness of the string. These factors are related with the configurations of the velocity resonance curve of the string, especially of its bottom parts in the higher frequency range. Along with some of our previous reports, the sound energy transmitted through the bridge to the body of an instrument is considered in this analysis, in which a Fourier series solution by means of series transformation for a piecewise-linear system is used.
- 一般社団法人日本機械学会の論文
- 1988-03-15
著者
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Temma Katsuhiro
Department Of Mechanical Engineering Kisarazu National College Of Technology
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Maezawa Seiichiro
Faculty Of Physical Sciences And Engineering Meisei University
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Maezawa Seiichiro
Faculty Of Engineering University Of Yamanashi
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OCHIAI Hidenori
Faculty of Physical Sciences and Engineering, Meisei University
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Ochiai Hidenori
Faculty Of Physical Sciences And Engineering Meisei University
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TEMMA Katsuhiro
Department of Electrical and Communication Engineering, Graduate School of Engineering, Tohoku University
関連論文
- Superharmonic Resonance in Piecewise-Linear System : Effect of Damping and Stability Problem
- Forced Vibrations in an Unsymmetric Piecewise-Linear System Excited by General Periodic Force Functions
- A Two-Dimensional Stress Analysis of Butt Adhesive Joints Having a Circular Hole in the Adhesive : (The Case Where Joints are Subjected to External tensile Loads)
- Perfect Fourier Series Solution for Feedback Control System with a Piecewise-linear Element Subjected to Sinusoidal Input : An Example of Dead Zone Element
- Steady Impact Vibration of a Body Having Hysteresis Collision Characteristics : 4th Report, Method of Approximate Solutions and Comparison with Exact Solutions
- Vibration of a Bowed String : Application of Timoshenko's Beam Theory and Transmission of Sound Energy Through the Bridge
- Vibration of a Bowed String : 1st Report, Monochord Subject to Air Resistance Only-No. 3
- A Two-Dimensional Stress Analysis of Butt Adhesive Joints Filled with Rigid Circular Fillers in an Adhesive Subjected to Tensile Loads
- Steady Impact Vibration of a Body Having Hysteresis Collision Characteristics : 2nd report, System with Quadrilateral Hysteresis Loop Characteristics for Force of Restitution
- Steady, Forced Vibration of Unsymmetrical Piecewise-linear System : 2 nd Report, Comparison with Analog-Computer Experiments
- Equivalent Piecewise Linearization Method for an Essentially Nonlinear System
- Steady Impact Vibration of a Body Having Hysteresis Collision Characteristics : 3rd report, Stability Analysis
- Steady, Forced Vibration of Unsymmetrical Piecewise-linear System : 3 rd Report, Application to the Ultrasonic Carving Machine
- Perfect Fourier Series Solution for Feedback Control System with a Piecewise-linear Element Subjected to Sinusoidal Input : 2nd Report, Generalization and Mathematical Foundation
- Vibration of a Bowed String : 2nd Report, Effect of Flexural Rigidity and Internal Friction, No.1
- 2-Step QRM-MLBD for Broadband Single-Carrier Transmission