東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Entropy for Mechanically Vibrating S...

Tufano, Dante.

FindBook

Google Book

Amazon

博客來

Entropy for Mechanically Vibrating Systems.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Entropy for Mechanically Vibrating Systems./
作者:	Tufano, Dante.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
面頁冊數:	189 p.
附註:	Source: Dissertation Abstracts International, Volume: 78-12(E), Section: B.
Contained By:	Dissertation Abstracts International78-12B(E).
標題:	Aerospace engineering. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10270705
ISBN:	9780355077667

Entropy for Mechanically Vibrating Systems.
Tufano, Dante.

Entropy for Mechanically Vibrating Systems. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 189 p.

Source: Dissertation Abstracts International, Volume: 78-12(E), Section: B.

Thesis (Ph.D.)--Rensselaer Polytechnic Institute, 2017.

The research contained within this thesis deals with the subject of entropy as defined for and applied to mechanically vibrating systems. This work begins with an overview of entropy as it is understood in the fields of classical thermodynamics, information theory, statistical mechanics, and statistical vibroacoustics. Khinchin's definition of entropy, which is the primary definition used for the work contained in this thesis, is introduced in the context of vibroacoustic systems. The main goal of this research is to to establish a mathematical framework for the application of Khinchin's entropy in the field of statistical vibroacoustics by examining the entropy context of mechanically vibrating systems.

ISBN: 9780355077667Subjects--Topical Terms:

1002622
Aerospace engineering.

Entropy for Mechanically Vibrating Systems.
LDR:04786nmm a2200361 4500 001 2154472
005 20180416072031.5
008 190424s2017 ||||||||||||||||| ||eng d
020 $a 9780355077667
035 $a (MiAaPQ)AAI10270705
035 $a (MiAaPQ)rpi:11086
035 $a AAI10270705
040 $a MiAaPQ $c MiAaPQ
100 1 $a Tufano, Dante. $3 3342199
245 1 0 $a Entropy for Mechanically Vibrating Systems.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2017
300 $a 189 p.
500 $a Source: Dissertation Abstracts International, Volume: 78-12(E), Section: B.
500 $a Advisers: Zahra Sotoudeh; Antoinette Maniatty.
502 $a Thesis (Ph.D.)--Rensselaer Polytechnic Institute, 2017.
520 $a The research contained within this thesis deals with the subject of entropy as defined for and applied to mechanically vibrating systems. This work begins with an overview of entropy as it is understood in the fields of classical thermodynamics, information theory, statistical mechanics, and statistical vibroacoustics. Khinchin's definition of entropy, which is the primary definition used for the work contained in this thesis, is introduced in the context of vibroacoustic systems. The main goal of this research is to to establish a mathematical framework for the application of Khinchin's entropy in the field of statistical vibroacoustics by examining the entropy context of mechanically vibrating systems.
520 $a The introduction of this thesis provides an overview of statistical energy analysis (SEA), a modeling approach to vibroacoustics that motivates this work on entropy. The objective of this thesis is given, and followed by a discussion of the intellectual merit of this work as well as a literature review of relevant material. Following the introduction, an entropy analysis of systems of coupled oscillators is performed utilizing Khinchin's definition of entropy. This analysis develops upon the mathematical theory relating to mixing entropy, which is generated by the coupling of vibroacoustic systems. The mixing entropy is shown to provide insight into the qualitative behavior of such systems. Additionally, it is shown that the entropy inequality property of Khinchin's entropy can be reduced to an equality using the mixing entropy concept. This equality can be interpreted as a facet of the second law of thermodynamics for vibroacoustic systems.
520 $a Following this analysis, an investigation of continuous systems is performed using Khinchin's entropy. It is shown that entropy analyses using Khinchin's entropy are valid for continuous systems that can be decomposed into a finite number of modes. The results are shown to be analogous to those obtained for simple oscillators, which demonstrates the applicability of entropy-based approaches to real-world systems. Three systems are considered to demonstrate these findings: 1) a rod end-coupled to a simple oscillator, 2) two end-coupled rods, and 3) two end-coupled beams.
520 $a The aforementioned work utilizes the weak coupling assumption to determine the entropy of composite systems. Following this discussion, a direct method of finding entropy is developed which does not rely on this limiting assumption. The resulting entropy provides a useful benchmark for evaluating the accuracy of the weak coupling approach, and is validated using systems of coupled oscillators. The later chapters of this work discuss Khinchin's entropy as applied to nonlinear and nonconservative systems, respectively. The discussion of entropy for nonlinear systems is motivated by the desire to expand the applicability of SEA techniques beyond the linear regime. The discussion of nonconservative systems is also crucial, since real-world systems interact with their environment, and it is necessary to confirm the validity of an entropy approach for systems that are relevant in the context of SEA.
520 $a Having developed a mathematical framework for determining entropy under a number of previously unexplored cases, the relationship between thermodynamics and statistical vibroacoustics can be better understood. Specifically, vibroacoustic temperatures can be obtained for systems that are not necessarily linear or weakly coupled. In this way, entropy provides insight into how the power flow proportionality of statistical energy analysis (SEA) can be applied to a broader class of vibroacoustic systems. As such, entropy is a useful tool for both justifying and expanding the foundational results of SEA.
590 $a School code: 0185.
650 4 $a Aerospace engineering. $3 1002622
650 4 $a Acoustics. $3 879105
650 4 $a Energy. $3 876794
690 $a 0538
690 $a 0986
690 $a 0791
710 2 $a Rensselaer Polytechnic Institute. $b Aeronautical Engineering. $3 2093993
773 0 $t Dissertation Abstracts International $g 78-12B(E).
790 $a 0185
791 $a Ph.D.
792 $a 2017
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10270705