Variational equations for thin elastic shells

✍ Scribed by H. Radwan; J. Genin

• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 592 KB
• Volume: 40
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(75)81303-4

✦ Synopsis

Variational equations are derived for thin elastic shells of arbitrary geometry from their related non-linear modal equations, The advantages of this procedure compared to methods commonly used in engineering applications are discussed. Numerical calculations are carried out for a simply supported circular cylinder to obtain the variation of natural frequencies of the cylinder under internal pressure, and its static buckling stress under uniform axial load. A discrepancy between the results of shell theory and those of threedimensional elasticity theory is found and discussed.