PCB板最大频率的支撑拓扑优化

Maximization of PCB Natural Frequency with Optimal Support Layout

基于印制电路板(PCB)支撑结构的特点,建立了支撑布局拓扑优化的分析模型:利用无质量实体单元模拟支撑部分;利用自由度凝聚技术建立PCB板及其元器件的子结构模型,从而大大缩减了优化的计算量.在优化分析模型基础上,利用渐进优化方法推导出结构支撑单元的删除敏度并建立了基于ANSYS的计算方法,分析了支撑刚度对支撑布局优化的影响.最后通过优化实例验证了优化方法的正确性.

Based on the structural characters of printed circuit board（PCB）,a topology optimization model of PCB structure is established.The model consists of two parts,i.e.the supporting part and the PCB component part.The supporting part is simulated by elastic material with no mass,while the PCB component part is refined by condensation method of degree of freedom to reduce computation amount.Based on the model,the sensitivity coefficient for element removal is derived by evolutionary structural optimization（ESO） algorithm,and then an ANSYS-based computational method is presented.Meanwhile,the influence of stiffness of support material on the maximal frequency of structure is studied.In the end,a typical case is illustrated as an optimization example,which demonstrates that the optimization method is reasonable and effective in engineering projects.