Abstract

A reliability-based optimization framework is introduced and used to design filament-wound cylindrical shells with variable angle tow. Seven design cases are investigated to enable a comparison between constant-stiffness and variable angle tow designs, also considering effects of thickness variation created due to overlapping tow paths, determined using the kinematics of the filament winding manufacturing process. The uncertainty in the winding angle is considered in the optimization by means of metamodels constructed using the Kriging method. Moving search windows are incorporated into the Kriging metamodel to accelerate its convergence by reducing the number of training iterations. The results prove the efficacy of the proposed framework and clearly demonstrate the advantage of variable-stiffness designs over conventional ones for achieving a maximum load carrying capacity, while keeping the robustness of the design towards manufacturing uncertainties.

Highlights

  • Carbon fiber reinforced polymer (CFRP) cylindrical shells are largely utilized in space, aeronautical, marine, and energy structures, essentially due to their high capacity to sustain high levels of axial and radial compressive loads, in which most of the counterpart is under a pure membrane state [1,2]

  • The moving search window was used for all variable angle tow (VAT) designs and the results are shown for both window sizes considered in this study

  • The present study proposes a reliability‐based design optimization (RBDO) approach for improving the buckling load of variable angle tow (VAT) filament‐wound cylinders subject to axial compression

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Summary

Introduction

Carbon fiber reinforced polymer (CFRP) cylindrical shells are largely utilized in space, aeronautical, marine, and energy structures, essentially due to their high capacity to sustain high levels of axial and radial compressive loads, in which most of the counterpart is under a pure membrane state [1,2]. CFRP cylindrical shells are often employed as primary structural components in space launch vehicles [3,4]. Considering that these counterparts carry high axial compression load levels, buckling is one of the limiting design constraints [5,6,7]. The actual performances of structural components are susceptible to random processes due to uncertainties in design, manufacturing and operating environment. These uncertainties can be quantified with the concept of reliability. The general RBDO framework is defined as: minimize costðdÞ À subject to Rj 1⁄4 Pr GjðdÞ > 0 ⩾ Rjr; ð8Þ dL ⩽ d ⩽ dU where costðÞ is the cost function, d is the design variable, Rjr is the jth required reliability, dL and dU are both lower and upper boundaries of the design variables, respectively

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