Title

The Application Of Statistics To The Flight Vehicle Vibration Problem

Description

This report presents a critical analysis of the application of statistics to flight vehicle vibration problems. The general problem is discussed from many aspects, and results are applicable to many other physical areas besides vibration. Detailed analytical engineering procedures are proposed for determining statistical properties of a single vibration record, and for establishing the over-all vibration environment from a collection of vibration records. Jet aircraft and several categories of missiles are broken down into definite operating phases as regards their vibration environment. Simple statistical techniques are developed for reducing the amount of data that needs to be gathered for lateer processing. This technique can provide a low probability of missing an unexpected event, and a high probability of covering the range of expected events. Straight-forward statistical tests are developed for testing fundamental assumptions and randomness, stationarity, and normality. Mathematical and physical distinctions are explained between different information obtained by measuring numerous important statistical parameters, such as an instantaneous amplitude probability density function, or a mean square autocorrelation function. An engineering discussion is given of related instrumentation equipment available today in many laboratories, with emphasis on their statistical accuracy in measuring desired information. An experimental laboratory and flight test program is outlined for verifying these measurement accuracies and other theoretical statistical results contained in the report, such as material on repeated experiments and random sampling techniques. Important physical applications are explored indicating how statistical information can be helpful in predicting the response of continuous structures to random excitation, and for evaluating loading effects on a structure. The report concludes with recommendations for future work.

Date

1961

Index Abstract

Contrails and DTIC condensed and truncated

Photo Quality

Not Needed

Report Number

ASD TR 61-123

Creator

Bendat, Julius S.

Enochson, Loren D.

Corporate Author

Thompson Ramo Wooldridge Inc Canoga Park Calif

Laboratory

Aeronautical Systems Division

Extent

534

Identifier

AD0271913

AD0271913

Access Rights

OTS

Distribution Classification

1

Contract

AF 33(616)-7434

DoD Project

1370

DoD Task

14004

DTIC Record Exists

Yes

Distribution Change Authority Correspondence

None

Date Modified

Scanned by request 10/22/2007 submitted by a Private Citizen (No Known Affiliation)

Abstract

This report presents a critical analysis of the application of statistics to flight vehicle vibration problems. The general problem is discussed from many aspects, and results are applicable to many other physical areas besides vibration. Detailed analytical engineering procedures are proposed for determining statistical properties of a single vibration record, and for establishing the over-all vibration environment from a collection of vibration records. Jet aircraft and several categories of missiles are broken down into definite operating phases as regards their vibration environment. Simple statistical techniques are developed for reducing the amount of data that needs to be gathered for lateer processing. This technique can provide a low probability of missing an unexpected event, and a high probability of covering the range of expected events. Straight-forward statistical tests are developed for testing fundamental assumptions and randomness, stationarity, and normality. Mathematical and physical distinctions are explained between different information obtained by measuring numerous important statistical parameters, such as an instantaneous amplitude probability density function, or a mean square autocorrelation function. An engineering discussion is given of related instrumentation equipment available today in many laboratories, with emphasis on their statistical accuracy in measuring desired information. An experimental laboratory and flight test program is outlined for verifying these measurement accuracies and other theoretical statistical results contained in the report, such as material on repeated experiments and random sampling techniques. Important physical applications are explored indicating how statistical information can be helpful in predicting the response of continuous structures to random excitation, and for evaluating loading effects on a structure. The report concludes with recommendations for future work.

Report Availability

Full text available

Date Issued

1961-12

Provenance

Lockheed Martin Missiles & Fire Control

Type

report

Format

1 online resource (xix, 518 pages) : ill.

Subject

Shells (Structural Forms)

Airframes

Vibration

Test Methods

Test Equipment

Airfoils

Reliability

Mathematical Prediction

Cylindrical Bodies

Vibrators (Mechanical)

Sheets

Resonance

Artificial Satellites

Fatigue (Mechanics)

Statistical Analysis

Failure (Mechanics)

Test Facilities

Manned

Aircraft Panels

Jet Aircraft

Life Expectancy (Service Life)

Spacecraft

Guided Missiles

Mathematical Analysis

Publisher

Wright-Patterson Air Force Base, OH : Aeronautical Systems Division, Air Force Systems Command, United States Air Force