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How To Get Started in Acoustics Analysis

The purpose of this book is to present an overview of the current state of the art in predictive acoustics work. It is intended to form both an introduction to the subject, and also to present a set of guidelines for good practice.

Predictions of acoustic performance are of importance in many areas. These are not limited to just those projects whose objectives are noise reduction, but include aspects of quality and durability. Examples of the need to reduce noise include almost all consumer goods, plus requirements of good acoustic design in the architectural and civil engineering fields. The noise shields being mounted alongside many major roads today are not cheap: they reflect the growing unacceptability of noise pollution by the general public.

Some applications are concerned with the development of transducers to radiate sound more effectively than erstwhile – e.g. underwater sonar devices and loudspeakers. Others require investigation of mechanisms of excitation of structures by acoustic phenomena. The author’s own company was involved, for example, in the investigation of fatigue problems of space rocket nozzles, when fatigue arose from vibrations induced acoustically from the rocket exhaust.

The reasons for performing predictive acoustics are of course limitless, but the following points are probably the most important:

  • Predictions may be carried out in advance of the prototype. As such, they promote the cost effective development of acceptable products. (This does mean that work may be done without supportive experimentation; validation of methodologies is vital, as are acceptance tests).
  • Predictive work provides insight into the mechanisms of noise generation and propagation. The insight is a pre-requisite for the successful improvement of designs.

Up to approximately the mid-1980’s it was common practice to use predictive techniques based either on empirical rules, or on extrapolations of relatively simple analytic examples. The prediction of acoustic performance of complex geometries or combinations of fluid media beyond the scope of most groups. For most engineers, the prediction of acoustical behaviour appeared to rely on some mixture of acoustic theory, many years of experience, intuition, and preparedness to stretch analytic examples well beyond their true application.

Since the mid 1980’s, advances in computer hardware and software systems have made the accurate prediction of acoustics both possible and available to all at reasonable cost. As with many advances in predictive methods, this availability of capability may lead to problems. Acoustics is a field where intuition is sometimes misleading. It is essential for predictions of system performance to be made by qualified staff, who have a least have an understanding of the mathematical principles of acoustics, and who understand the capabilities and limitations of the various computer tools available.

One of the objectives of this booklet is to provide some guidelines for new workers in acoustic prediction. The booklet makes no attempt to be an exhaustive treatment of any aspect of acoustics; there are many excellent texts available, some of which are referenced here. If this booklet achieves nothing else, it may at least help practitioners be aware of some of the questions which need to be answered if results are to be trusted.

It is assumed that the reader has some engineering training, is familiar with fundamentals of engineering mathematics, and also understands basic concepts of linear vibration theory, such as the concept of working in the frequency domain. The most important pre-requisite for reliable predictive work is a preparedness to question whether or not results obtained ‘make sense’, and to be prepared to invest a little time to understand the principles behind the work in hand.

Contents

1INTRODUCTION7
2FUNDAMENTALS OF ACOUSTICS9
3SOLUTION APPROACHES14
3.1ANALYTICAL VS. NUMERICAL METHODS14
3.2RAYLEIGH METHODS15
3.3FINITE ELEMENT SOLUTIONS16
3.4BOUNDARY ELEMENT FORMULATIONS17
3.5RAY TRACING METHODS19
4VIBRATION ANALYSIS20
5ACOUSTIC PREDICTION GUIDELINES24
5.1General24
5.2CAVITY MODES27
5.2.1Approach27
5.2.2Modelling28
5.2.3Results28
5.3TRANSFER FUNCTION CALCULATIONS29
5.3.1Approach29
5.3.2Modelling29
5.3.3Results30
5.4RADIATION CALCULATIONS33
5.4.1Approach33
5.4.2Modelling34
5.4.3Results34
5.5COUPLED ANALYSES37
5.5.1Approach37
5.5.2Modelling37
5.5.3Results37
5.6ARCHITECTURAL WORK (LARGE GEOMETRIES)38
5.6.1Approach38
5.6.2Modelling39
5.6.3Results39
6RESULTS INTERPRETATION40
7ADVANCED ANALYSES42
7.1Foam Finite Elements42
7.2Energy Finite Elements42
7.3Acoustic Holography42
8COMPUTER SYSTEMS44
9REFERENCES45
10GLOSSARY OF ACOUSTIC TERMS46
10.1Nomenclature46
10.2Definitions46

Document Details

ReferenceHT10
AuthorTyrrell. R
LanguageEnglish
AudienceAnalyst
TypePublication
Date 1st January 1998
RegionGlobal

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