scholarly journals The transverse vibration of a rotating beam with tip mass: The method of integral equations

1975 ◽  
Vol 33 (3) ◽  
pp. 193-203 ◽  
Author(s):  
Louise H. Jones
Keyword(s):  
Integral Equations ◽  
Transverse Vibration ◽  
Rotating Beam ◽  
Method Of Integral Equations ◽  
Tip Mass

Dynamic modeling of a rotating beam having a tip mass

2008 ◽  
Author(s):  
Shengjian Bai ◽  
Pinhas Ben-Tzvi ◽  
Qingkun Zhou ◽  
Xinsheng Huang
Keyword(s):  
Dynamic Modeling ◽  
Rotating Beam ◽  
Tip Mass

Design of Pendulum Absorbers for Transverse Vibration Attenuation of Rotating Beams

1997 ◽  
Author(s):  
Yenkai Wang ◽  
Steven W. Shaw ◽  
Chang-Po Chao
Keyword(s):  
Transverse Vibration ◽  
Design Strategy ◽  
Simplified Model ◽  
Vibration Absorbers ◽  
Rotating Beam ◽  
External Excitation ◽  
Rotating Beams ◽  
Transverse Vibrations ◽  
Vibration Attenuation ◽  
Centrifugal Pendulum Vibration Absorbers

Abstract This paper considers the placement, sizing and tuning of centrifugal pendulum vibration absorbers for the reduction of transverse vibrations in rotating beams. A simplified model describing the linearized dynamics of a rotating beam with external excitation and attached absorbers is used for the analysis. A design strategy is offered wherein individual absorbers are designed to reduce vibration amplitudes and stress levels caused by troublesome resonances. It is shown that this procedure offers significant reduction in vibratory stresses, even in the case of excitations composed of multiple harmonics.

Digital Modeling of Electromagnetic Processes in Technological Induction Devices

2021 ◽  
Vol 7 (7) ◽  
pp. 26-32
Author(s):  
Viktor B. DEMIDOVICH ◽  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Integral Equations ◽  
Transverse Magnetic ◽  
Combined Method ◽  
Method Of Integral Equations ◽  
Leading Role ◽  
Casting Aluminum ◽  
Point To Point ◽  
Element Method

Development of an electrical calculation method plays the leading role in simulating induction devices. In modeling electrical devices and complexes, it is often necessary to simultaneously solve both chain and field problems, i.e., to deal with both lumped and distributed parameters. The article considers the method of integral equations for induction systems with non-magnetic and ferromagnetic loading, which is based on the theory of long-range action. The method’s key statement is that the field at any point is determined as the sum of the fields produced by all sources, including primary and secondary ones. Another finite element method is based on the theory of short-range action, which describes the electromagnetic wave propagation from point to point, its refraction and reflection at the boundaries of media. The article substantiates the development of a combined method based on using the method of integral equations for calculating the input parameters of inductors (an external problem) and the finite element method for calculating the field distribution in the load (an internal problem). The combined method has well proven itself in modeling induction heating and melting of metals and oxides, heating a tape in a transverse magnetic field, induction plasmatrons, and casting aluminum into an electromagnetic crystallizer.

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