國立虎尾科技大學 |

Multiple degree of freedom inverted pendulum dynamics : = Modeling, computation, and experimentation.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Multiple degree of freedom inverted pendulum dynamics :/
Reminder of title:	Modeling, computation, and experimentation.
Author:	Chen, Cheng-Yuan Jerry.
Description:	1 online resource (152 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 70-05, Section: B, page: 3131.
Contained By:	Dissertation Abstracts International70-05B.
Subject:	Mechanical engineering. -
Online resource:	click for full text (PQDT)
ISBN:	9781109138054

Multiple degree of freedom inverted pendulum dynamics : = Modeling, computation, and experimentation.
Chen, Cheng-Yuan Jerry.

Multiple degree of freedom inverted pendulum dynamics :Modeling, computation, and experimentation. - 1 online resource (152 pages)

Source: Dissertation Abstracts International, Volume: 70-05, Section: B, page: 3131.

Thesis (Ph.D.)--University of Southern California, 2009.

Includes bibliographical references

A pendulum is statically unstable in its upright inverted state due to the Earth's gravitational attraction which points downward. However, with proper forcing, the pendulum can be stabilized in its upright inverted state. Special interest is on periodic vertical forcing applied to the pendulum's base to stabilize it around the upright inverted equilibrium.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781109138054Subjects--Topical Terms:

557493
Mechanical engineering.
Index Terms--Genre/Form:

554714
Electronic books.

Multiple degree of freedom inverted pendulum dynamics : = Modeling, computation, and experimentation.
LDR:03354ntm a2200373Ki 4500 001 916007
005 20180907134546.5
006 m o u
007 cr mn||||a|a||
008 190606s2009 xx obm 000 0 eng d
020 $a 9781109138054
035 $a (MiAaPQ)AAI3355370
035 $a (MiAaPQ)usc:10345
035 $a AAI3355370
040 $a MiAaPQ $b eng $c MiAaPQ $d NTU
100 1 $a Chen, Cheng-Yuan Jerry. $3 1189574
245 1 0 $a Multiple degree of freedom inverted pendulum dynamics : $b Modeling, computation, and experimentation.
264 0 $c 2009
300 $a 1 online resource (152 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 70-05, Section: B, page: 3131.
500 $a Adviser: Paul K. Newton.
502 $a Thesis (Ph.D.)--University of Southern California, 2009.
504 $a Includes bibliographical references
520 $a A pendulum is statically unstable in its upright inverted state due to the Earth's gravitational attraction which points downward. However, with proper forcing, the pendulum can be stabilized in its upright inverted state. Special interest is on periodic vertical forcing applied to the pendulum's base to stabilize it around the upright inverted equilibrium.
520 $a Many researchers have studied how to stabilize the system by varying various parameters, in particular its amplitude and frequency. Most have focused on the single degree of freedom inverted pendulum case, which with linear assumption can be described via Mathieu's equation. The system stability can then be characterized by Floquet theory. Our focus is on searching for the periodic solutions inside the linearly stable region of the pendulum's inverted state when the pendulum is under proper periodic forcing. Our research shows that under appropriate excitation by controlling the forcing amplitude and frequency, the pendulum can maintain certain periodic orbits around its inverted state which we characterize in a systematic way.
520 $a In this thesis, we applied four different kinds of geometric realizations of the system response: system time traces, system phase portraits, three dimensional views of the system phase portrait as a function of input forcing, and the system's power spectral density diagram. By analyzing these four diagrams simultaneously, we characterize different kinds of multi-frequency periodic behavior around the pendulum's inverted state. To further discuss the effect of the nonlinearity, we applied perturbation techniques using the normalized forcing amplitude as a perturbation parameter to carry out the approximate periodic solutions on a single degree of freedom inverted pendulum nonlinear model.
520 $a We also discuss the multiple degree of freedom inverted pendulum system. Both numerical simulation and experiments were performed and detailed comparisons are discussed. Our numerical simulations show close qualitative agreement with experiments.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mechanical engineering. $3 557493
650 4 $a Aerospace engineering. $3 686400
655 7 $a Electronic books. $2 local $3 554714
690 $a 0548
690 $a 0538
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of Southern California. $b Mechanical Engineering(Dynamics and Control). $3 1189575
773 0 $t Dissertation Abstracts International $g 70-05B.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3355370 $z click for full text (PQDT)