The pattern for filament wound toroidal vessels derived from differential geometry is presented. The pattern design and optimization procedure was put forward according to imposed design requirements. The mathematical...The pattern for filament wound toroidal vessels derived from differential geometry is presented. The pattern design and optimization procedure was put forward according to imposed design requirements. The mathematical model and movement equations of winding torns are obtained by analytic geometry. A computer simulation system of filament winding process based on optimal pattern design was developed to verify the correctness and practicability of the winding pattern. The optimum pattern and winding simulation were performed by this system. The simulation results show that the pattern satisfies both winding principles and structural optimization. The recommended design-oriented method can be applied to the preliminary design of filament wound toroidal vessels.展开更多
文摘The pattern for filament wound toroidal vessels derived from differential geometry is presented. The pattern design and optimization procedure was put forward according to imposed design requirements. The mathematical model and movement equations of winding torns are obtained by analytic geometry. A computer simulation system of filament winding process based on optimal pattern design was developed to verify the correctness and practicability of the winding pattern. The optimum pattern and winding simulation were performed by this system. The simulation results show that the pattern satisfies both winding principles and structural optimization. The recommended design-oriented method can be applied to the preliminary design of filament wound toroidal vessels.
