Fundamental frequency of vibration of thin elastic plates elastically supported along internal segments

✍ Scribed by R.H. Gutierrez; P.A.A. Laura

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 353 KB
• Volume: 18
• Category: Article
• ISSN: 0003-682X
• DOI: 10.1016/0003-682x(85)90052-0

✦ Synopsis

The title problem is approximately solved in a unified manner in the case of rectangular and circular plates elastically restrained against rotation along the boundary.

Polynomial coordinate Junctions and a variational approach are used in order to obtain an approximatejrequency equation. JudgingJ?om the excellent accuracy attained using the present methodology in the case where no internal supports are present, it is reasonable to expect that the results presented in this stud)' will be sufficiently accurateJor engineering purposes in the situations considered.

INTR ODUCTI ON

Several authors have studied the transverse dynamic behavior of thin elastic plates in the case of internal (flexible or rigid, concentrated or distributed) supports. 1 -5

The present paper deals with a situation which has not previously been considered: the case of plates elastically restrained against rotation along the boundary with internal, flexible supports uniformly distributed along an arbitrary number of segments. Both rectangular and circular plates are considered (see Figs 1 and2, respectively).