Non-uniqueness In Cylindrical Shells Optimization
Author(s)
B. Alzahabi & L. K. Natarajan
Abstract
Non-uniqueness in cylindrical shells
optimization
B. Alzahabi & L. K. Natarajan
Department of Mechanical Engineering,
Kettering University, Flint, MI, USA.
Abstract
During the optimization process of cylindrical shells, one is faced with a set of
very unique challenges. Unlike that of simpler structures such as beams or plates,
the modal spectrum of cylindrical shell exhibits very unique characteristics.
Mode crossing, uniqueness modal spectrum, and redundancy of modal
constraints are just a few of the unique attributes faced during the optimization
process.
In cylindrical shells, the lowest natural frequency is not necessarily associated
with the lowest wave index. In fact, the natural frequencies do not fall in
ascending order of the wave index either. Solution of the vibration problem of
cylindrical shells also indicates repeated natural frequencies. These modes are
referred to as double peak frequencies. Mode shapes associated with each one of
the natural frequencies are usually a combina
Keywords
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