Application of adaptive material interpolation in nonlinear topology optimization of compliant constant force mechanism
In order to solve the numerical instability problem in the nonlinear topology optimization of the compliant constant force mechanism,the material interpolation method of nonlinear topology optimization was investigated.First,the design domain and nonlinear topology optimization model were constructed according to the characteristics of the constant force mechanism.Then,the reasons for the numerical instability problem were discussed,and a new material interpolation model was proposed to avoid the numerical instability problem by controlling the strain,in which a parameter α was introduced to realize the simultaneous adjustment of the deformation resistance of low-density elements.An adaptive adjustment strategy of parameter α was given according to the maximum equivalent strain.Finally,based on the proposed material interpolation model,the sensitivity equation of the objective function of the optimization model was deduced.Constant force mechanisms with different constant force intervals were optimized,the optimization results and the optimization efficiency were discussed.An experimental platform was built to validate the actual output performance of the optimized constant force mechanism.The experimental results show that the maximum output force error of the constant force mechanism optimized by this method is 2.3%in the given constant force interval.The results show that the adaptive material interpolation method effectively avoids the numerical instability problem,the stability is improved,and the optimization efficiency is improved compared with the additional hyperplastic material method.
compliant constant force mechanismadaptive material interpolation schemenonlinear topology optimizationnumerical instability problemsensitivity of objective functionoptimization efficiency
NETL
NSTL
万方数据
维普
