On The Filament Winding Law And The Planning Of The Motion Trajectory Of The Smooth Connected Compositional Revolution

With the continuous development of winding technology,filament wound composite products are widely used in aerospace,military and many other fields.Compared with other products,filament wound products have the advantages of high strength,low density,low cost and strong designability.There are many kinds of filament wound products,and for the smooth connected compositional revolution products,they are more widely used in real life.The winding machine is the core equipment for producing filament wound products,and the filament winding law is an important theoretical basis for guiding the winding machine to order winding.Therefore,it is especially important to study the filament winding law.The law is the relative motion law between the feed-eye and the mandrel,including the planning of motion trajectory of the feed-eye,and the design of winding pattern.On the study of filament winding law and planning of motion trajectory of the revolution mandrel,many achievements and conclusions have been obtained.However,there are few studies domestically on the filament winding law and planning of motion trajectory of the smooth connected compositional revolution.When two revolutions are combined for winding,there is a problem that the winding trajectory is discontinuous in the combined transition section.If the winding trajectory is not continuous,it will inevitably affect the accuracy of products,and may even lead to winding failure.In real life,a large number of filament wound products are composed of the smooth connected compositional revolution,and it is particularly important to solve the problem of winding of such products.This paper studies the filament winding law and planning of motion trajectory of the smooth connected compositional revolution.Firstly,this paper applies the geodesic theory to plan the trajectory,and takes the geodesic trajectory as the desired doffing point trajectory.According to the tangent between the doffing point and the feed-eye,the lateral and longitudinal trajectory equations of the feed-eye are obtained,and it theoretically proved that the equations can solve the winding problem of the combined transition section.Then,this paper optimally studies a motion axis that controls the tipping of the feed-eye.Considering the friction between the yarn and the feed-eye,the optimization of the flip axis is obtained by stressing analysis.Subsequently,this paper will perform trajectory fitting on the doffing points of the inverse solution and solve the trajectory fitting error.Then,in the case of satisfying the trajectory error requirement,this paper compares and analyzes the timecomplexity of the two search algorithms to determine a better search algorithm for finding the number of trajectories.Finally,this paper studies the winding pattern of filament winding,finds the corresponding relationship between the speed ratio and the winding pattern,and finds the rotation center angle of the mandrel when winding a complete cycle by geometric analysis and microelement method.The winding pattern corresponding to the initial speed ratio is calculated,and the corrected winding pattern is obtained by appropriate correction.This paper verifies and simulates the mandrel examples of the smooth connected compositional revolutions.The verification and simulation results show that the proposed motion trajectory equations can solve the filament winding problems of the smooth connected compositional revolutions,and ensure that the winding path of the combined transition section is smooth and continuous.Then this paper simulates the modified winding pattern,and the simulation results show the rationality of the research.