“…Filament wound conical shells are being widely used in the aerospace and commercial industries, such as pressure vessels, pipes, nozzles, and lattice structures. In the past decades, the design and analysis for filament-wound conical shells have been developed in a variety of facets [1][2][3]. However, previous work concentrated mostly on the use of geodesics as winding trajectories; the design freedom of this class of fiber patterns is severely limited because once the initial conditions of fiber position and orientation have been fixed, the entire fiber trajectory and winding parameters are solely determined [4,5].…”