๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Transcendental dynamic stability functions for beams carrying rigid bodies

โœ Scribed by S. Ilanko

Book ID
104031325
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
211 KB
Volume
279
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

โœฆ Synopsis

This paper shows how the transcendental dynamic stability functions can be used to determine the natural frequencies of a beam system carrying a rigid body. The dynamic stability functions used here satisfy the partial differential equation governing the flexural motion of Euler-Bernoulli beams exactly. The boundary and continuity conditions are expressed in a convenient matrix form by assembling the dynamic stiffness coefficients. This yields a determinantal frequency equation.

๐Ÿ“œ SIMILAR VOLUMES

A FINITE ELEMENT FORMULATION FOR COUPLIN
A FINITE ELEMENT FORMULATION FOR COUPLING RIGID AND FLEXIBLE BODY DYNAMICS OF ROTATING BEAMS
โœ K. HU; N. VLAHOPOULOS; Z.P. MOURELATOS ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 386 KB

The work presented in this paper is based on an existing comprehensive formulation for rotating #exible systems. In the existing formulation the #exible degrees of freedom (d.o.f.) are represented by an analytically computed modal basis and the coupling matrices between the rigid-and the #exible-bod