下面是辛辛那提大学R.J.Allemang教授编著的讲义——
VIBRATIONS:EXPERIMENTAL MODAL ANALYSIS
振动:试验模态分析
是我见过的最好的试验模态分析资料之一,分享给大家,
希望对于大家理解试验模态分析有所帮助。
是上一篇日记中的讲义——
http://home.chinavib.com/blog-199119-20735.html
VIBRATIONS: ANALYTICAL AND EXPERIMENTAL MODAL ANALYSIS
振动:解析和试验模态分析
的姊妹篇。
R.J.Allemang是试验模态分析领域的牛人。
如感兴趣,可以从下面的这个链接看看其简历:
http://www.sdrl.uc.edu/Members/randy/randall-j-allemang-phdVIBRATIONS:
EXPERIMENTAL MODAL ANALYSIS
振动:
试验模态分析
Dr. Randall J. Allemang,
Professor
Structural Dynamics Research Laboratory
Department of Mechanical, Industrial and Nuclear Engineering
University of Cincinnati
Cincinnati, Ohio 45221-0072
兰德尔 J. 阿莱芒博士,教授 编著
结构动力学研究实验室
机械,工业与核工程系
辛辛那提大学
辛辛那提,俄亥俄 45221-0072
March 1999
1999年3月
Approved for public release
准予公开发行
Copyright © 1990-1999 UC-SDRL
版权© 1990-1999 UC-SDRL
----------------------------------
下面摘录 前言及第一章部分内容,供参考。
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PREFACE前言
An initial version of the following set of notes was originally prepared by Randall Allemang in
1986 for use in the dual level Mechanical Vibrations III (20-263-663/664) course at the University of Cincinnati. The Vibrations III course had a different course number (20-263-692/693) prior to 1993. The primary objective of this course is to give undergraduate and graduate students the necessary background, and their first experience, in experimental vibrations. Further clarifications and additional information has been provided by D. L. Brown, A. W. Phillips and R. W. Rost. Any comments relative to corrections or improvements will be welcomed.
下面这套笔记最早是1986年由兰德尔.J.阿莱芒准备,用于辛辛那提大学的机械振动III(20-263-663/664)双级水平课程。1993年之前,本课程有另外一个编号(20-263-692/693)。课程的主要目的是,在试验振动方面,给本科生和研究生以必要的理论背景和初步经验。D.L.布朗,A.W.菲利普斯和R.W.罗斯特等提供了进一步的阐述和其他说明。欢迎提出任何订正或改进建议。
- 1. EXPERIMENTAL MODAL ANALYSIS 试验模态分析
1.1 Introduction 简介
Experimental modal analysis is the process of determining the modal parameters (frequencies, damping factors, modal vectors and modal scaling) of a linear, time invariant system by way of an experimental approach. The modal parameters may be determined by analytical means, such as finite element analysis, and one of the common reasons for experimental modal analysis is the verification/correction of the results of the analytical approach (model updating). Often, though, an analytical model does not exist and the modal parameters determined experimentally serve as the model for future evaluations such as structural modifications. Predominately, experimental modal analysis is used to explain a dynamics problem, vibration or acoustic, that is not obvious from intuition, analytical models, or previous similar experience. It is important to remember that most vibration and/or acoustic problems are a function of both the forcing functions (or initial conditions) and the system characteristics described by the modal parameters. Modal analysis alone is not the answer to the whole problem but is often an important part of the process. Likewise, many vibration and/or acoustic problems fall outside of the assumptions associated with modal analysis (linear superposition, for example). For these situations, modal analysis may not be the right approach and an analysis that focuses on the specific characteristics of the problem will be more useful.
试验模态分析是通过试验的方法确定一个线性时不变系统的模态参数(频率,阻尼因子,模态向量和模态归一)的过程。模态参数可以通过解析方法,如有限元方法,来确定,并且试验模态分析的常见原因之一是对解析方法的结果进行验证/修正(模型修正)。然而,常常不存在解析模型,而试验确定的模态参数可作为进一步评估的
,如结构修改的,模型。试验模态分析主要用于解释振动或声学方面的动力学问题,这些问题从直觉、解析模型或以往的类似经验来看,不明显。重要的是要记住,大多数的振动和/或声学问题不单随激励函数(或初始条件)的变化而变化,而且随模态参数所描述的系统特性的变化而变化。模态分析单独不能解决全部问题,但它往往是解决过程的重要组成部分。而且,很多振动和/或声学问题超出模态分析的假设(如,线性叠加)。对于这些情况,模态分析不一定是合适的方法,具体问题具体分析或许更有用。
The history of experimental modal analysis began in the 1940’s with work oriented toward measuring the modal parameters of aircraft so that the problem of flutter could be accurately predicted. At that time, transducers to measure dynamic force were primitive and the analog nature of the approach yielded a time consuming process that was not practical for most situations. With the advent of digital mini-computers and the Fast Fourier Transform (FFT) in the 1960’s, the modern era of experimental modal analysis began. Today, experimental modal analysis represents an interdisciplinary field that brings together the signal conditioning and computer interaction of electrical engineering, the theory of mechanics, vibrations, acoustics, and control theory from mechanical engineering, and the parameter estimation approaches of applied mathematics [1-12] .
试验模态分析的历史始于1940年,用于测量飞机的模态参数,以准确预测颤振问题。彼时,测量动态力的传感器原始而落后,方法的模拟属性使得测量非常耗时。这对于大多数情况,是不现实的。1960年,随着数字小型计算机和快速傅里叶变换(FFT)的出现,开启了试验模态分析的现代化时代。今天,试验模态分析属于交叉学科领域,融合了信号调理、电子工程计算机交互学、机械理论、振动、声学、机械工程控制理论和应用数学参数估计方法.
1.2 Experimental Modal Analysis Overview试验模态分析概述
The process of determining modal parameters from experimental data involves several phases. While these phases can be, in the simplest cases, very abbreviated, experimental modal analysis depends upon the understanding of the basis for each phase. As in most experimental situations, the success of the experimental modal analysis process depends upon having very specific goals for the test situation. Such specific goals affect every phase of the process in terms of reducing the errors associated with that phase. While there are several ways of breaking down the process, one possible delineation of these phases is as follows:
从试验数据确定模态参数的过程分成几个阶段。在最简单的情况下,这些阶段可以非常简短,但试验模态分析基于对每个阶段基础内容的理解。大多数试验情况下,成功进行模态试验依赖于对试验情况有非常明确的目标。它影响到过程的每个阶段,以减少该过程的错误。划分阶段的方法有多种,一种合理划分法如下:
• Modal Analysis Theory
• Experimental Modal Analysis Methods
• Modal Data Acquisition
• Modal Parameter Estimation
• Modal Data Presentation/Validation
• 模态分析理论
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试验模态分析方法
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模态数据采集
•
模态参数估计
•
模态数据呈现/验证
。。。
讲义下载地址:
http://www.sdrl.uc.edu/academic-course-info/vibrations-iii-20-263-663/
教材配套matlab源码下载地址:
http://www.sdrl.uc.edu/shareware-freeware/Shareware/VIBS3.zip
http://www.sdrl.uc.edu/academic-course-info/docs/ucme663/index.html
备注:模态分析理论方面的内容参考前一篇日记:
http://home.chinavib.com/blog-199119-20735.html
VIBRATIONS: ANALYTICAL AND EXPERIMENTAL MODAL ANALYSIS
振动:解析与试验模态分析(R.J.Allemang教授 编著)
感谢R.J.Allemang教授的分享!