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

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