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“非线性振动理论及工程应用”课程的图像辅助教学

发表时间:2016-10-31  浏览量:1246  下载量:284
全部作者: 刘利琴
作者单位: 天津大学水利工程仿真与安全国家重点实验室
摘 要: 非线性振动是船舶与海洋工程结构物的一种重要振动形式,本课程针对船舶与海洋工程专业的硕士研究生开设。以船舶与海洋工程领域中的实际问题为背景,数值求解非线性运动方程,借助时间历程、相位图、快递傅里叶变换(fast Fourier transformation,FFT)谱图、最大李雅普诺夫(Lyapunov)指数、分岔图及响应的庞加莱截面等数值工具,以图像展示的方式解释各种抽象的非线性现象,如超谐分岔、亚谐分岔、混沌运动等,促使学生进一步掌握非线性振动理论在船舶与海洋工程领域的应用。
关 键 词: 海洋工程;非线性振动;数值模拟;图像教学
Title: Image aided instruction of the course of “nonlinear vibration theory and the engineering application”
Author: LIU Liqin
Organization: State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
Abstract: Nonlinear vibration is one of the most important motion forms of the ship and ocean structures. This course is for the master degree candidates of the ship and ocean engineering major, and it is based on the real problems of the field of ship and ocean engineering. The time histories, phase portraits, fast Fourier transformation (FFT) figures, max Lyapunov exponents, bifurcation figures and Poincare maps are calculated. The nonlinear phenomena which are hard to understand are interpreted by the image showing, such as super harmonic bifurcation, sub harmonic bifurcation and chaos. It will help the students to grasp the application of nonlinear vibration theory in the field of ship and ocean engineering.
Key words: ocean engineering; nonlinear vibration; numerical simulation; image aided instruction
发表期数: 2016年10月第20期
引用格式: 刘利琴. “非线性振动理论及工程应用”课程的图像辅助教学[J]. 中国科技论文在线精品论文,2016,9(20):2151-2157.
 
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