ESDU 82037:2010

$62.40

The Response of Two-Degree-Of-Freedom Systems (Computer Program)

Published By	Publication Date	Number of Pages
ESDU	2010-06	37

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INTRODUCTION

The Fortran computer program presented in this Item may be used
to determine the response of any two-degree-of-freedom system with
constant coefficients to any known applied forcing functions.

The program is capable of dealing with any two-degree-of-freedom
system the description of which requires two independent
coordinates and which can be described by two second-order constant
coefficient differential equations. The independent coordinates are
the dependent variables of the system.

An applied input forcing function is allowed for each
second-order equation and to ease program input one of six possible
types of input function can be specified: zero, impulsive, step,
cosine, sine and an arbitrary input.

The program evaluates the characteristic polynomial of the
system together with the roots of this equation from which the
modes of response are found. For systems involving two second-order
equations the eigenvalues and corresponding eigenvectors are also
found. For second-order (oscillatory) modes the natural frequency,
damping ratio, period and time to half-amplitude are found and for
first-order modes only the time to half-amplitude is found. The
dependent variables of the system are then found for the specified
input forcing function(s) using a step-by-step integration
routine.


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Published Code	ESDU
Published By	ESDU
Publication Date	2010-06
Pages Count	37
Language	English
File Size	368.6 KB
ISBN	9780856794186

ESDU 82037:2010

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