The Design Of Winding Pattern And The Planning Of The Motion Trajectory For Revolution

Filament winding composites are widely used to make the fuel tank, themissile tube, the gas cylinder, the pipe and the building equipment because ofhigh specific strength, high specific stiffness, good reliability, low density andhigh corrosion resistance. The winding pattern of filament winding composites ismore designable, and the mechanical property of filament winding compositesdepends on the order of the fiber winding on the mandrel, so it has a veryimportant guiding significance for theory and values for real process to researchthe pattern of the fiber winding on a compositional solid of revolution with aelliptic dome. In this paper, I will design a geodesic winding pattern of the fiberand the motion trajectory of the feed-eye suitable for a four-dof winding machine.Firstly， this paper analyzes the winding theorem which the filamentwinding technology must meet, the pattern regularity of the fiber winding and theparameters affecting the mechanical property of filament winding composites.Then the mathematical model of the compositional solid of revolution with aelliptic dome is built. Then the fiber winding pattern for the compositional solidof revolution with a elliptic dome is designed in a single winding cycle accordingto the fiber winding theorem. The geodesic curve on the ellipsoidal head iscalculated through the method of the approximate circle. The geodesic curve onthe cylinder is calculated according to differential geometry. The relationalexpression of the coordinate of the doffing point and the rotation angle of thefeed-eye is calculated according to the relative position of the current doffingpoint and the initial point before the mandrel is rolled. Then the winding patternof the whole winding progress is designed including calculating the number oftangency points, the number of the fitting points between two adjacent tangencypoints and the number of the winding layers. We can gain the relationshipbetween the longitudinal motion and transverse motion with the rotation of themandrel according to the geometric relations between the coordinate of the feed- eye and the coordinate of the doffing points. The relationship between the flipangle of the feed-eye and the rotation angle of the mandrel is calculate accordingto the condition that the width of the fiber keeps in constant during the wholewinding process.The motion trajectory of each axis designed in this paper is simulatedthrough the MATLAB. The motion trajectory of each axis is simulated mainlyfrom the following two aspects,“the length of the free fiber is constant” and “thefeed-eye moves along the presupposed trajectory”. The motion trajectory of eachaxis is simulated when the number of the tangency points is different or thenumber of that is the same but the winding order is different. Then the influenceof the number of the tangency points and the winding order is analyzed. Thesimulation result shows that: the method is feasiable that design the windingpattern and the motion trajectory for the compositional solid of revolution with aelliptic dome.