Forced motions of viscoelastic cylindrical

✍ Scribed by C.C. Huang

• Book ID: 104153792
• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 495 KB
• Volume: 39
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(75)80080-0

✦ Synopsis

A formal solution is presented for forced axially symmetrical motions of viscoleastic Herrmann-Mirsky cylindrical shells acted upon by time-dependent surface traction and/or time-dependent boundary conditions, obtained by using Williams' modal acceleration method. The application of the modal acceleration method reduces the governing equations to a set of quasi-static equations with time-dependent boundary conditions and an ordinary differential equation governing the time-dependent variable, T,(z). The quasi-static viscoelastic problem is solved by applying a correspondence principle to the existing elastic solution [1]. A numerical example is given for a simply-supported, three-element solid shell acted upon by two equal and opposite longitudinal step forces at the ends.