Abstract
Axisymmetric vibrations of reinforced shallow, spherical caps manufactured from orthotropic materials are considered. The closed form solution is obtained for the natural frequency of the cap with a clamped and immovable circular edge by assuming that the motion component parallel to the cap boundary plane (in plane) is negligible. Parametric studies are performed to assess the effect of various geometric and structural parameters on the natural frequency of the cap and, most importantly, to identify the most influencing parameters of the problem. From the generated data, it is concluded that the national frequency increases with increasing extensional stiffness and eccentricity of reinforcements and to a lesser extent with increasing bending stiffness of reinforcements. Other important parameters include the base circle radius and the initial rise of the cap. © ASCE.
Recommended Citation
V. Birman and G. J. Simitses, "Axisymmetric Vibrations Of Reinforced Orthotropic Shallow Spherical Caps," Journal of Aerospace Engineering, vol. 2, no. 3, pp. 155 - 165, American Society of Civil Engineers, Jan 1989.
The definitive version is available at https://doi.org/10.1061/(ASCE)0893-1321(1989)2:3(155)
Department(s)
Mechanical and Aerospace Engineering
International Standard Serial Number (ISSN)
0893-1321
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 American Society of Civil Engineers, All rights reserved.
Publication Date
01 Jan 1989
