Free vibrations of Bernoulli–Euler beams with intermediate elastic support: a concise thematic recension

✍ Scribed by M.J. Maurizi; D.V. Bambill; P.M. Bellés; M.A. De Rosa

• Book ID: 104031561
• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 141 KB
• Volume: 281
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/j.jsv.2004.06.014

✦ Synopsis

The problem of a beam elastically restrained at intermediate points is often encountered in the design of structural members of buildings, aircrafts, ships, pipes, robotic applications and an extensive variety of other structures.

In Ref.

[1], Albarracı´n et al. presented some exact and numerical considerations of the problem of a uniform beam with intermediate constraints and ends elastically restrained against rotation and translation.

Their results deserve credit and with regard to previous information they state that ''In contrasty, there is only a limited amount of information for beams elastically restrained at intermediate points''. However, 50 years ago Lee and Saibel [2] obtained a general expression from which the frequency equation for the vibration of a constrained beam with any combination of intermediate elastic or rigid supports can be found readily.

In his book published in 1975 Gorman [3] provided a set of simultaneous equations for mode shapes which can be used in conjunction with frequency tables for the problem of free lateral