Effect of servomotor control parameters on the dynamic behaviour of a coupled elastic shaft-elastic beam system

2007 ◽  
Vol 3 (4) ◽  
pp. 339
Author(s):  
K. Alnefaie
Keyword(s):  
Dynamic Behaviour ◽  
Elastic Beam ◽  
Control Parameters ◽  
Beam System ◽  
Elastic Shaft

scholarly journals Energy Harvesting in a Nonlinear Cantilever Piezoelastic Beam System Excited by Random Vertical Vibrations

2014 ◽  
Vol 14 (08) ◽  
pp. 1440018 ◽  
Author(s):  
Marek Borowiec ◽  
Grzegorz Litak ◽  
Michael I. Friswell ◽  
Sondipon Adhikari
Keyword(s):  
Power Generation ◽  
Energy Harvester ◽  
Elastic Beam ◽  
Stochastic Force ◽  
Beam System ◽  
Voltage Output ◽  
Single Well ◽  
Vertical Vibrations ◽  
Ambient Excitation ◽  
Tip Mass

The vertical elastic beam with vertical ambient excitation is proposed as an energy harvester. The beam has a tip mass and piezoelectric patches which transduce the bending strains induced by the stochastic force caused by vertical kinematic forcing into electrical charge. We focus on the region with a fairly large amplitude of voltage output where the beam overcomes the potential barrier. Increasing the noise level allows the transition from single well oscillations to inter-well stochastic jumps with more power generation.

Chip Design for Coupled Nonlinear Structronic Thermo-Electro-Elastic/Control Systems

2012 ◽  
Author(s):  
H. S. Tzou ◽  
Huiyu Li ◽  
Hua Li
Keyword(s):  
Integrated Circuit ◽  
Large Scale ◽  
Elastic Beam ◽  
Chip Design ◽  
Distributed Sensors ◽  
Beam System ◽  
Control Electronics ◽  
Hostile Environments ◽  
And Control ◽  
Fully Coupled

The objective of this study is to demonstrate the feasibility that a fully-coupled nonlinear piezo(electric)-thermoelastic/control structronic systems can be represented by a single micro-electronic chip. This non-volatile chip is a poTable.lle miniature hardware that serves as a design standard for future calibration and diagnosis of the original “large-scale” structronic system and it can be used anywhere after any catastrophic disruption in extreme hostile environments. Distributed control of a nonlinear structronic beam system (i.e., an elastic beam laminated with distributed sensors/actuators and coupled with control electronics) subjected to mechanical and temperature excitations has been investigated recently. This study is to design an integrated electronic circuit chip encompassing the complete piezothermoelastic and control behavior of the nonlinear structronic beam system. The fully coupled nonlinear beam equations are first discretized into a number of “elements” and each element can be implemented by an active circuit block including operational amplifiers, resistors, capacitors, and other nonlinear multipliers. Signals from the integrated circuit chip of the coupled nonlinear piezothermoelastic beam system are favorably compared with analytical solutions.

ENERGY HARVESTING IN PIEZOELASTIC SYSTEMS DRIVEN BY RANDOM EXCITATIONS

2013 ◽  
Vol 13 (07) ◽  
pp. 1340006 ◽  
Author(s):  
M. BOROWIEC ◽  
G. LITAK ◽  
M. I. Friswell ◽  
S. F. Ali ◽  
S. Adhikari ◽  
...  
Keyword(s):  
Noise Level ◽  
Large Amplitude ◽  
Energy Harvester ◽  
Elastic Beam ◽  
Horizontal Displacement ◽  
Beam System ◽  
Piezoelectric Layers ◽  
Single Well ◽  
Beam Motion ◽  
Tip Mass

The inverted elastic beam is proposed as an energy harvester. The beam has a tip mass and piezoelectric layers which transduce the bending strains induced by the stochastic horizontal displacement into electrical charge. The efficiency of this nonlinear device is analyzed, focusing on the region of stochastic resonance where the beam motion has a large amplitude. Increasing the noise level allows the motion of the beam system to escape from single well oscillations and thus generate more power.

Experimental Stabilization of Unstable Periodic Orbit in Magneto-Elastic Chaos by Delayed Feedback Control

1997 ◽  
Vol 07 (12) ◽  
pp. 2837-2846 ◽  
Author(s):  
Takashi Hikihara ◽  
Masato Touno ◽  
Toshiaki Kawagoshi
Keyword(s):  
Feedback Control ◽  
Periodic Orbit ◽  
Chaotic Attractor ◽  
Control Method ◽  
Elastic Beam ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Unstable Periodic Orbit ◽  
Beam System ◽  
Onset Timing

In our previous paper, it was confirmed that the unstable periodic orbit embedded in the chaotic attractor in magneto-elastic beam system can be stabilized by delayed feedback control experimentally. It seems an advantage that the control method does not require any exact model of the system. However, the application of the control raises the problem that we cannot predict the stabilized unstable periodic orbit until it converges. In this paper, an "onset window" is introduced to determine the onset timing for targeting the desired orbit embedded in the chaotic attractor experimentally. Moreover, the dependence of the stabilization on the delay and the gain parameters is also discussed based on the experimental results.

WAVE AND BASIN STRUCTURE IN SPATIALLY COUPLED MAGNETO-ELASTIC BEAM SYSTEM — TRANSITIONS BETWEEN COEXISTING WAVE SOLUTIONS

2001 ◽  
Vol 11 (04) ◽  
pp. 999-1018 ◽  
Author(s):  
TAKASHI HIKIHARA ◽  
KENTARO TORII ◽  
YOSHISUKE UEDA
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Differential Equations ◽  
Numerical Approximation ◽  
Elastic Beam ◽  
Coupled Systems ◽  
Partial Differential ◽  
Important Place ◽  
Wave Solutions ◽  
Beam System

Standing and traveling waves are well-known phenomena of the coupled ordinary differential equations in many fields. The wave solutions of the coupled system are considered to be similar to the partial differential equation of the system. In this paper, the waves which appear in a coupled magneto-elastic beam system are discussed theoretically and numerically. The physical system is continuous elastically and discrete magnetically. There are several classes of models describing the system behavior. The Galerkin method is one of the powerful methods used to analyze the dynamics of the spatially distributed structure. The numerical solutions appearing in the coupled ordinary differential equation must show the spatially discrete characteristics even in the distributed system. However, most of the results obtained in the coupled systems are not more than the numerical approximation of the related partial differential equations. The large number of oscillators are given for the approximation. In this paper, the relationship between the coupled magneto-elastic beam system and the modified KdV equation is established by using the long wave approximation. However, in the short wavelength range, the approximation to the partial differential equation has no physical rationality. Therefore, the analysis of the difference–differential equation provides an important place of knowledge filling up the gap between the characteristics of the physical model and the numerical approximation.

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