Dynamic behaviour of a beam subjected to a force of time-dependent frequency (continued)

✍ Scribed by S.-I. Suzuki

• Book ID: 104154079
• Publisher: Elsevier Science
• Year: 1978
• Tongue: English
• Weight: 272 KB
• Volume: 60
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(78)80120-5

✦ Synopsis

The dynamic behaviour of a beam is investigated in detail when the (radian) frequency of an external force passes through the first critical one ~1 of the beam, increasing or decreasing. In this paper, the external force is assumed to be proportional to sin(at2/2 + bta/3) with respect to time, where a and b are constants. Moreover, the case is also treated where the beam is subjected to constant axial force. Integrations involved in the theoretical results are carried out by Simpson's rule. From the results of the theoretical analysis, it is evident that the maximum values of the dynamic deflection are much affected by the value of com,~/toi (where toM=, is the maximum value of the frequency of the external force) when the forcing frequency passes through col, decreasing.