On the dynamic behaviour of a flexible beam carrying a moving mass

1994 ◽  
Vol 5 (4) ◽  
pp. 493-513 ◽  
Author(s):  
F. Khalily ◽  
M. F. Golnaraghi ◽  
G. R. Heppler
Keyword(s):  
Dynamic Behaviour ◽  
Flexible Beam ◽  
Moving Mass

Dynamics of an orbiting flexible beam with a moving mass

AIAA Journal ◽  
2001 ◽  
Vol 39 ◽  
pp. 2225-2227
Author(s):  
D. C. D. Oguamanam ◽  
J. S. Hansen ◽  
G. R. Heppler
Keyword(s):  
Flexible Beam ◽  
Moving Mass

The dynamic behaviour of an arrow in wind

2020 ◽  
Vol 234 (3) ◽  
pp. 268-277
Author(s):  
James L Park
Keyword(s):  
Dynamic Behaviour ◽  
Small Diameter ◽  
Weather Conditions ◽  
Target Distance ◽  
Target Face ◽  
Flexible Beam ◽  
Wind Drift ◽  
Four Score ◽  
Compound Bow ◽  
Lift And Drag

Target archery competitions are conducted outdoors, exposed to the prevailing weather conditions. Competition takes place over long target distances and wind drift of the arrows is a significant cause of score loss. In this article, the dynamic behaviour of an arrow in free flight and wind drift are modelled, allowing for both the arrow initially aligning itself with the resultant airflow and the arrow flexing. The arrow has been modelled as an inextensible flexible beam, and the resulting partial differential equations solved using a finite difference method. Lift and drag for the various arrow components have been calculated using the local angle of attack for those components. It is shown that archers should use small diameter arrow shafts with a high density in order to minimise wind drift. Even for the best arrows, the drift for a 3-m/s side wind is greater than four score rings for a recurve bow at a target distance of 70 m with a 1220-mm diameter target face and nearly two score rings for a compound bow at a target distance of 50 m with an 800-mm diameter target face.

scholarly journals Dynamics of a Flexible Beam Supported Elastically with Moving Mass Spring System.

2002 ◽  
Vol 68 (673) ◽  
pp. 2570-2576 ◽  
Author(s):  
Yoshiaki TERUMICHI ◽  
Yoshihiro SUDA ◽  
Satoshi IKUTA ◽  
Shinichi OHNO
Keyword(s):  
Flexible Beam ◽  
Moving Mass ◽  
Spring System ◽  
Mass Spring

Dynamics of an Orbiting Flexible Beam with a Moving Mass

AIAA Journal ◽  
2001 ◽  
Vol 39 (11) ◽  
pp. 2225-2227 ◽  
Author(s):  
D. C. D. Oguamanam ◽  
J. S. Hansen ◽  
G. R. Heppler
Keyword(s):  
Flexible Beam ◽  
Moving Mass

Dynamics and Control of an Elastic Guideway Under a Moving Mass

2001 ◽  
Author(s):  
Hanno Reckmann ◽  
Karl Popp
Keyword(s):  
Adaptive Control ◽  
Control Strategy ◽  
Control Strategies ◽  
Moving Load ◽  
Active Vibration Control ◽  
Elastic Beam ◽  
Flexible Beam ◽  
Moving Mass ◽  
System Matrix ◽  
Optimal Control Strategy

Abstract Lightweight structures under moving loads occur in robotics, ground transportation and in space stations. Increasing velocities lead to an excitation of structural vibrations with high amplitudes. This phenomenon may affect the precision of machine tools and robots and the safety of transport operations. An example of such a lightweight structure is a flexible beam under a moving load. In this paper we investigate the possibility of active vibration control of the elastic beam using a king post truss system (KPTS). The system is excited by both a mass moving with constant velocity and a mass performing an accelerated motion. The aims are to minimize the vibrations of the system and the transverse deflections under the moving mass. The system to be analysed and controlled is time variant due to the moving mass. The fast motion of the mass leads to a highly dynamic system with a fast changing system matrix. We use control inputs at fixed positions for control of the system with distributed parameters. The system is modelled by a finite element approach to implement the moving mass in the system description. To reduce the numerical complexity of the system a modal transformation is applied and numerical investigations of the system are performed. We apply two different control strategies to reach the aims. The first one is an optimal discrete time approach which allows to reach both aims. The second one is an adaptive control strategy with a simple model to minimize the deflection under the moving mass. The numerical results are compared with experimental data. In the case of a constant mass velocity the optimal control strategy leads to a reduction of the deflection under the moving mass of more than 98% compared to the uncontrolled system. The reduction of the deflection under the moving mass applying adaptive control results in a smaller reduction of about 96%.

DYNAMIC DEFLECTION OF A CRACKED SHAFT SUBJECTED TO MOVING MASS

1997 ◽  
Vol 21 (3) ◽  
pp. 295-316 ◽  
Author(s):  
D.R. Parhi ◽  
A.K. Behera
Keyword(s):  
Differential Equation ◽  
Dynamic Behaviour ◽  
Normal Modes ◽  
Moving Mass ◽  
Kutta Method ◽  
Mass System ◽  
Simply Supported ◽  
Runge Kutta Method ◽  
Local Flexibility ◽  
Cracked Shaft

The dynamic behaviour of a cracked shaft is greatly affected by the mass moving on it. Magnitude and the travelling velocity of the mass along with the position of the crack on the shaft are the major parameters, considered in this investigation. The local flexibility due to the crack is evaluated from the theory of fracture mechanics. Then the normal modes for the cracked shaft are found and are used for formulating the equation of the moving mass system. Runge-Kutta method is used to solve the differential equation for the dynamic deflection of a simply supported cracked shaft, subjected to a moving mass of varying magnitudes and velocities. Significant change in the dynamic behaviour of the shaft is observed from the above analysis.

Investigation of fused silica dynamic behaviour

2006 ◽  
Vol 134 ◽  
pp. 929-934 ◽  
Author(s):  
F. Malaise ◽  
J.-M. Chevalier ◽  
I. Bertron ◽  
F. Malka
Keyword(s):  
Dynamic Behaviour ◽  
Fused Silica
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