Accession Number : AD0266692

Title :   NUMERICAL AND ASYMPTOTIC METHODS OF INTEGRATING THE BERNOULLI-EULER EQUATION

Descriptive Note : Technical note.

Corporate Author : BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD

Personal Author(s) : ELDER,A.S.

Report Date : AUG 1961

Pagination or Media Count : 22

Abstract : At present, Mykelstad's method (BRL R-1070) is used to calculate the normal modes and natural frequencies of gun tubes and other beams of variable cross section. In this method, the actual beam is replaced by an equivalent discrete system of concentrated masses and massless springs. The use of a discrete system in place of a continuous system introduces a truncation error which is small in the lower modes, but which may amount to several per cent in the higher modes. It is believed that a higher-order method of numerical integration in which the step size may be varied at will should considerably reduce this error. (Author)

Descriptors :   *GUN BARRELS, *VIBRATION, DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION, NUMERICAL METHODS AND PROCEDURES

Distribution Statement : APPROVED FOR PUBLIC RELEASE