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EXAMPLE 3: Optimization of a ring-stiffened cylindrical shell with a "wavy" wall

This is the cover figure from the 2000 GENOPT paper, "Automated optimum design of shells of revolution with application to ring-stiffened cylindrical shells with wavy walls", by David Bushnell, presented at the AIAA 41st Structures, Structural Dynamics, and Materials Conference, AIAA Paper 2000-1663, 2000.

The starting design (top) has rather big waves and big rings, and the optimized design has much smaller waves and much smaller rings. The optimization is accomplished via a combination of GENOPT and BIGBOSOR4.

This is the study during which BIGBOSOR4 was developed from the original BOSOR4 code. In order to solve this optimization problem it was necessary greatly to increase the number of shell segments that could be accommodated by BOSOR4. BIGBOSOR4 now permits up to 295 shell segments. Input data files developed for BOSOR4 will work with BIGBOSOR4.

ABSTRACT from the paper:

GENOPT, a program that writes user-friendly optimization code, and BOSOR4 (BIGBOSOR4), a program for the stress, buckling and vibration analysis of segmented, branched, stiffened shells of revolution, are combined to create a capability to optimize specific classes of shells of revolution.

Examples are provided of aluminum cylindrical shells with wavy walls with and without ring stiffeners and a laminated composite cylindrical shell without rings.

GENOPT and BOSOR4 (BIGBOSOR4) and recent improvements to them are described. In the examples the objective of the optimization is minimum weight, and the design constraints involve stress, buckling, modal vibration, and random response to base excitation.

An appendix is provided in which a very simple example is used to demonstrate in detail how a user can create a capability to optimize any shell of revolution.

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