FREE TRANSVERSE VIBRATIONS OF ELASTICALLY CONNECTED SIMPLY SUPPORTED DOUBLE-BEAM COMPLEX SYSTEM

✍ Scribed by Z. ONISZCZUK

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 224 KB
• Volume: 232
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1999.2744

✦ Synopsis

In this paper, the free vibration analysis of two parallel simply supported beams continuously joined by a Winkler elastic layer is presented. The motion of the system is described by a homogeneous set of two partial di!erential equations, which is solved by using the classical Bernoulli}Fourier method. The natural frequencies of the system are determined. The initial-value problem is considered to "nd the "nal form of the free vibrations. The free vibrations of an elastically connected double-beam complex system are realized by synchronous and asynchronous de#ections. The presented theoretical analysis is illustrated by a numerical example, in which the e!ect of physical parameters characterizing the vibrating system on the natural frequencies is investigated.