Performance Analysis And Optimal Design Of Spiral Torsion Springs

Spiral torsion springs are widely applied for all kinds of machinery as energy storage and driving element.Its output torque and shock performances have important influence on the working performance,the reliability and the security of the device.Based on the Box-Behnken experiment test program,this paper used the analysis of variance and the response surface methodology to study the influence law of the output performance affected by design parameters of the spiral torsion spring.The regression model was established.The spiral torsion spring used by the separation device taken as an example,the optimal design model of the spiral torsion spring was build based on the test results.Through the separation device performance test,the effectiveness of the design model for the spiral torsion spring was verified.The main research contents include:(1)The performance test system of the spiral torsion spring was established.Based on the Box-Behnken experiment test program and using the analysis of variance,the error analysis method and the response surface methodology,the influence law of the torque,the release shock and the release time performance affected by design parameters(the thickness,the width and the length)of the spiral torsion spring were analyzed.The test results were as follows:The torque,the release shock and the release time were affected significantly by the thickness,the width and the length of the spiral torsion spring.The thickness was the most significant factor affecting the three performance parameters.Cross terms of the thickness and the width and the length had little effect on the three performance parameters.The regression models between the torque,the release shock and the release time and design parameters were established.Through the error analysis,the multivariate correlation coefficient and the reliability analysis,the validity and credibility of the model were verified.The above conclusion provided the theoretical support to design the spiral torsion spring.(2)On the basis of analyzing the performance requirements of the spiral torsion spring in a spacecraft device,the multi-objective optimization design model of the spiral torsion spring is given,which takes the spiral torsion spring’s thickness,width and length as the optimization variables,the minimum release shock and the minimum release time as optimization objective.The model considers output torque,strength,locking force and resetting load as the constraint conditions and uses the multi-objective evolutionary algorithm to get the optimal design project.The analysis of the design case showed that the release shock reduced by 24.7%and the release time reduced by 4.8%compared with the traditional design plan.(3)The optimal design project of the spiral torsion spring is applied to the separation device.The test experiments of the bearing capacity,the release shock,the release time,and the high and low temperature environment were analyzed.The analysis results between the optimal design project and the traditional design plan were as follows:The error between the test value and theoretical value of the spiral torsion spring’s release shock was 2.8%while without load.The maximum value of release shock dropped by 49.5%and the minimum value of release shock dropped by 5.3%when the optimal design project was used with 5000 N load.The error between the test value and theoretical value of the spiral torsion spring’s release time was 2.8%while without load.The maximum value of release time dropped by 4.4%and the minimum value of release shock dropped by 2.8%when the optimal design project was used with load.The separation device could unlock successfully in-45℃-80℃.