本文關鍵詞：突變理論及其在機械工程領域的應用現狀，由筆耕文化傳播整理發(fā)布。

突變理論及其在機械工程領域的應用現狀

Catastrophe theory and its application status in mechanical engineering

[1] [2] [3] [4]

LIU Jinge , BAO Jiusheng, YIN Yan , HU Dongyang （1. School of Mechanical and Electrical Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China;

[1]中國礦業(yè)大學機電工程學院,江蘇徐州221116; [2]重慶大學機械傳動國家重點實驗室,重慶400044; [3]江蘇省礦山智能采掘裝備協同創(chuàng)新中心,江蘇徐州221008

文章摘要：突變理論是解釋不連續(xù)現象的一種旨在應用的數學方法，自誕生以來廣泛用于解釋自然科學、社會科學和管理科學等科學技術領域的各種突發(fā)現象。首先，從突變理論的產生、基本原理、基本特性和發(fā)展過程等幾個方面對其進行了簡要介紹；其次，綜述了突變理論在機械工程領域的應用現狀，重點介紹了利用突變理論在揭示轉子振動狀態(tài)突變現象、分析摩擦磨損失效行為和預測金屬疲勞斷裂等3個方面的研究進展；最后，，指明了在以后的應用中要更加注重加強突變理論與一些傳統(tǒng)非線性理論的結合�？蔀橥蛔兝碚撛跈C械工程等相關領域的進一步拓展應用提供有益的理論參考。

Abstr：Catastrophe theory is a kind of mathematical method which aims to apply and interpret the discontinuous phenome- non. Since its emergence, it has been widely used to explain a variety of emergent phenomena in the fields of natural science, social science, management science and some other science and technology fields. Firstly, this paper introduces the theory of catastrophe in several aspects, such as its generation, radical principle, basic characteristics and development. Secondly, it summarizes the main applications of catastrophe theory in the field of mechanical engineering, focusing on the research progress of catastrophe theory in revealing catastrophe of rotor vibration state, analyzing friction and wear failure, predicting metal fracture, and so on. Finally, it advises that later development of catastrophe theory should pay more attention to the combina- tion of itself with other traditional nonlinear theories and methods. This paper provides a beneficial reference to guide the appli- cation of catastrophe theory in mechanical engineering and related fields for later research.

文章關鍵詞：

Keyword：:other subjects of general technical catastrophe theory mechanical engineering application status

課題項目：國家自然科學基金（51205395）;機械傳動國家重點實驗室開放基金（SKLMT-KFKT-201204）;江蘇省高校優(yōu)勢學科建設工程資助項目

  本文關鍵詞：突變理論及其在機械工程領域的應用現狀，由筆耕文化傳播整理發(fā)布。