Target function method for evaluating natural vibration frequency of bending beam with adhesive mass

✍ Scribed by Chen, Y. Z.

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 97 KB
• Volume: 16
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(200005)16:5<343::aid-cnm340>3.0.co;2-9

✦ Synopsis

The natural vibration frequency of a bending beam with the adhesive mass is investigated in this paper. From the numerical solution of the governing equation under the relevant boundary conditions, we can de"ne a function which is called the target function. It is proved that the problem for evaluating the natural vibration frequencies is equivalent to "nding the zeros of the target function. The zeros of target function can be easily evaluated by the well-known half-division technique. It is also proved that the target function method provides one more e!ective way in this "eld. The presented numerical examples generally show that the adhesive mass has a signi"cant in#uence on lowering the vibration frequency of bending beam.